100 High-Scoring MCQs on Work and Energy (Set - 2) | Class 11 Physics | Unit 5

100 High-Scoring MCQs on Work and Energy (Set - 2) | Class 11 Physics | Unit 5

100 High-Scoring MCQs (Set-2) on Work and Energy, Unit-5, Class 11 Physics (Unit-Wise Practice)



This post contains 100 carefully selected multiple-choice questions (MCQs) from Unit-5: Work and Energy of Class 11 Physics, designed strictly according to the FBISE syllabus. These MCQs include a well-balanced mix of numerical and conceptual problems, making them exam-ready, revision-friendly, and high-scoring.

Whether you are preparing for annual board exams, chapter tests, or competitive entry tests, this collection thoroughly covers all the key concepts and formulas of Work and Energy, helping students master the chapter with confidence.

This unit-wise MCQ set includes questions from:

  • Definition and concept of Work and Energy
  • Work done by a constant and variable force
  • Kinetic energy (KE) and potential energy (PE)
  • Work-Energy theorem
  • Power and its calculation
  • Conservation of mechanical energy
  • Elastic and inelastic collisions
  • Gravitational and spring potential energy
  • Impulse and momentum
  • Numerical applications combining work, energy, and motion
  • Real-life applications of energy concepts in mechanics

    Each MCQ is provided with the correct answer and a clear, concise explanation, helping students strengthen concepts, avoid common mistakes, and solve numerical problems confidently.

    Prepare smartly, revise efficiently, and boost your exam score in Unit-5: Work and Energy with these 100 high-yield MCQs.



    MCQ 1

    A net force of 4 N acts horizontally on a body (Vi = 0) of mass 2 kg for 6 s. Its kinetic energy will be:

    a. 12 J
    b. 144 J
    c. 72 J
    d. 48 J

    Correct Answer: b. 144 J

    Explanation:
    Impulse = FΔt=4×6=24F \Delta t = 6 \times 4 = 24Ns → Δp = 24 kg·m/s
    K.E=p22m=2422×2=144J


    MCQ 2

    Work done by a force is zero if the angle between force and displacement is:

    a. 0°
    b. 45°
    c. 90°
    d. 180°

    Correct Answer: c. 90°

    Explanation:
    W=FscosθW = F s \cos\theta.
    At θ=90\theta = 90^\circcos90=0, so work done is zero.


    MCQ 3

    A body moving in a circular path does no work because:

    a. Force is zero
    b. Speed is constant
    c. Force is perpendicular to displacement
    d. Mass is constant

    Correct Answer: c. Force is perpendicular to displacement

    Explanation:
    Centripetal force is always perpendicular to displacement, hence work done is zero.


    MCQ 4

    The SI unit of work is equivalent to:

    a. N/m
    b. kg m² s⁻²
    c. kg m s⁻¹
    d. N s

    Correct Answer: b. kg m² s⁻²

    Explanation:
    1J=1N\cdotpm=1kg m2s21\,\text{J} = 1\,\text{N·m} = 1\,\text{kg m}^2 \text{s}^{-2}


    MCQ 5

    A 1000 N force is exerted on a body which moves with constant velocity for a distance of 200 m. Work done will be:

    a. Zero
    b. 1000 N
    c. 2000 J
    d. None

    Correct Answer: a. Zero

    Explanation:
    Constant velocity → net force = 0 → W = F_net × S = 0


    MCQ 6

    If a body of mass 100 kg is lifted through a vertical height of 100 m, the work done (kJ) will be:

    a. 980 kJ
    b. 98 kJ
    c. 0.98 kJ
    d. 980 × 10³ kJ

    Correct Answer: b. 98 kJ

    Explanation:
    W = P.E = m g h = 100 × 9.8 × 100 = 98000 J = 98 kJ


    MCQ 7

    The dot product of force and velocity is:

    a. Power
    b. Work
    c. Impulse
    d. Momentum

    Correct Answer: a. Power

    Explanation:
    P = F · v


    MCQ 8

    If work is done at the rate of 2000 J/s, its power is:

    a. 2 W
    b. 2 kW
    c. 2 MW
    d. 200 W

    Correct Answer: b. 2 kW

    Explanation:
    P = W/t = 2000 J / 1 s = 2000 W = 2 kW


    MCQ 9

    One horsepower is equal to:

    a. 550 W
    b. 550 kW
    c. 746 W
    d. None

    Correct Answer: c. 746 W

    Explanation:
    1 hp = 746 W


    MCQ 10

    Negative work is done when the angle between F and S is:

    a. θ < 90°
    b. 90° < θ ≤ 180°
    c. 180° < θ < 270°
    d. Both b & c

    Correct Answer: b. 90° < θ ≤ 180°

    Explanation:
    W = F S cos θ → negative when cos θ < 0 → 90° < θ ≤ 180°


    MCQ 11

    The light and heavy bodies have equal K.E. Which one has greater momentum?

    a. Both equal
    b. Light body
    c. Heavy body
    d. Impossible to say

    Correct Answer: b. Light body

    Explanation:
    p = √(2 m K) → smaller mass → larger speed → larger momentum


    MCQ 12

    An object of mass 1 g is whirled in a horizontal circle of radius 0.5 m at constant speed 2 m/s. The work done by tension during one revolution is:

    a. Zero
    b. 1 J
    c. 2 J
    d. 4 J

    Correct Answer: a. Zero

    Explanation:
    W = F · S cos 90° = 0 (tension is perpendicular to displacement)


    MCQ 13

    1 kg mass has K.E of 1 J. Its speed is:

    a. 1 m/s
    b. 4.4 m/s
    c. 1.4 m/s
    d. 2.5 m/s

    Correct Answer: c. 1.4 m/s

    Explanation:
    K.E = ½ m v² → v = √(2 × 1 / 1) ≈ 1.414 m/s


    MCQ 14

    Two bodies with K.E ratio 4:1 and equal momentum. The ratio of masses is:

    a. 1:4
    b. 4:1
    c. 1:2
    d. 1:1

    Correct Answer: a. 1:4

    Explanation:
    p constant → K.E = p² / 2m → larger K.E → smaller mass


    MCQ 15

    Work done by centripetal force on an object is:

    a. Zero
    b. Positive
    c. Negative
    d. All

    Correct Answer: a. Zero

    Explanation:
    Centripetal force is perpendicular to motion → W = F·S cos 90° = 0


    MCQ 16

    Work done by conservative force along a closed path is:

    a. Zero
    b. Maximum
    c. Positive

    Correct Answer: a. Zero

    Explanation:
    By definition, work along closed path = 0 for conservative forces.


    MCQ 17

    A 500 N force is applied on a body at 60° to +X-axis and moves 100 m along X-axis. Work done:

    a. Zero
    b. 25 KJ
    c. 433.01 J
    d. None

    Correct Answer: c. 433.01 J

    Explanation:
    W = F S cos θ = 50 × 10 × cos60° = 25,000 J = 25 KJ


    MCQ 18

    When a falling object of mass m moves with terminal velocity, the work done by gravity is:

    a. Zero
    b. Negative
    c. m g h
    d. None

    Correct Answer: a. Zero

    Explanation:
    At terminal velocity → net force = 0 → W = 0


    MCQ 19

    The work done by gravity on a pendulum is:

    a. Positive
    b. Negative
    c. Zero
    d. None

    Correct Answer: c. Zero

    Explanation:
    Gravity does zero net work over one complete oscillation.


    MCQ 20

    One erg =

    a. 1 g·cm²·s⁻²
    b. 1 g·cm·s⁻²
    c. 1 g·m²·s⁻¹
    d. 1 g·cm²·s

    Correct Answer: a. 1 g·cm²·s⁻²

    Explanation:
    By definition, 1 erg = 1 g·cm²·s⁻²


    MCQ 21

    Which object has greater K.E?

    a. Mass 3M, velocity V
    b. Mass 2M, velocity V/3
    c. Mass 3M, velocity V/2
    d. Mass M, velocity 4V

    Correct Answer: d. Mass M, velocity 4V

    Explanation:
    K.E = ½ m v² → highest value for largest v²


    MCQ 22

    1 erg =

    a. 1 dyne·cm
    b. 10⁷ J
    c. 10⁴ kJ
    d. 10⁻⁷ J

    Correct Answer: d. 10⁻⁷ J

    Explanation:
    Conversion: 1 erg = 10⁻⁷ J


    MCQ 23

    Kinetic energy of a body depends upon:

    a. Velocity only
    b. Mass only
    c. Mass and velocity
    d. Force

    Correct Answer: c. Mass and velocity

    Explanation:
    K=12mv2K = \frac{1}{2} mv^2


    MCQ 24

    One mega watt-hour =

    a. 36 × 10⁶ J
    b. 36 × 10¹² J
    c. 36 × 10⁹ J
    d. 36 × 10⁸ J

    Correct Answer: d. 36 × 10⁸ J

    Explanation:
    1 MWh = 10⁶ W × 3600 s = 3.6 × 10⁹ J (≈36 × 10⁸ J)


    MCQ 25

    Input energy = 1000 J, output = 100 J sound + 300 J heat. Efficiency:

    a. 60%
    b. 70%
    c. 40%
    d. 100%

    Correct Answer: a. 60%

    Explanation:
    Useful work = 1000 – (100 + 300) = 600 J
    η = 600 / 1000 × 100 = 60%


    MCQ 26

    If momentum increases by 20%, K.E increases by:

    a. 44%
    b. 36%
    c. 44% decrease
    d. 36% decrease

    Correct Answer: a. 44%

    Explanation:
    ΔK.E% ≈ 2n + n²/100 → 2(20) + 400/100 = 44%


    MCQ 27

    Two objects with same momentum, A has more K.E than B if its mass is:

    a. More than A
    b. Less than A
    c. Moving faster than A
    d. Moving slower than A

    Correct Answer: b. Less than A

    Explanation:
    K.E = p² / 2m → smaller mass → higher K.E


    MCQ 28

    The SI unit of work is equivalent to:

    a. N/m
    b. kg m² s⁻²
    c. kg m s⁻¹
    d. N s

    Correct Answer: b. kg m² s⁻²

    Explanation:
    1J=1N\cdotpm=1kg m2s21\,\text{J} = 1\,\text{N·m} = 1\,\text{kg m}^2 \text{s}^{-2}


    MCQ 29

    Kinetic energy of a body depends upon:

    a. Velocity only
    b. Mass only
    c. Mass and velocity
    d. Force

    Correct Answer: c. Mass and velocity

    Explanation:
    KE=12mv2K = \frac{1}{2} mv^2


    MCQ 30

    Unit of power in British engineering system:

    a. Watt
    b. kW
    c. Horsepower
    d. Joule

    Correct Answer: c. Horsepower

    Explanation:

    Horsepower is the traditional British unit of power.

    1 Horsepower = 746 W


    MCQ 31

    Potential energy of a body at height h depends upon:

    a. Mass only
    b. Height only
    c. Gravity only
    d. Mass, height, and gravity

    Correct Answer: d. Mass, height, and gravity

    Explanation:
    PE=mg


    MCQ 32

    Work is negative when F and d are:

    a. Parallel
    b. Anti-parallel
    c. Perpendicular
    d. None

    Correct Answer: b. Anti-parallel

    Explanation:
    W = F·d cos θ → θ = 180° → W negative


    MCQ 33

    Rate of doing work in any instant is called:

    a. Average power
    b. Variable power
    c. Constant power
    d. Instantaneous power

    Correct Answer: d. Instantaneous power

    Explanation:
    P_inst = dW/dt


    MCQ 34

    Efficiency of fluorescent lamp:

    a. 20%
    b. 30%
    c. 40%
    d. 100%

    Correct Answer: b. 30%

    Explanation:
    Memory-based from textbook


    MCQ 35

    Velocity of 1 kg mass with K.E = 1 J:

    a. 2 m/s
    b. 1/√2 m/s
    c. 4 m/s
    d. √2 m/s

    Correct Answer: d. √2 m/s

    Explanation:
    v = √(2 K/m) = √2 ≈ 1.414 m/s


    MCQ 36

    A body freely falling under gravity has:

    a. Constant PE
    b. Constant KE
    c. Increasing KE and decreasing PE
    d. Decreasing KE and increasing PE

    Correct Answer: c. Increasing KE and decreasing PE

    Explanation:
    As height decreases, PE converts into KE.


    MCQ 37

    The law of conservation of energy states that energy:

    a. Can be created
    b. Can be destroyed
    c. Can be transformed
    d. Can be lost

    Correct Answer: c. Can be transformed

    Explanation:
    Energy cannot be created or destroyed, only transformed from one form to another.


    MCQ 38

    Which of the following is a conservative force?

    a. Friction
    b. Air resistance
    c. Gravity
    d. Viscosity

    Correct Answer: c. Gravity

    Explanation:
    Work done by conservative forces is path-independent.


    MCQ 39

    Critical velocity of satellite:

    a. √(2 g R)
    b. √(g R)
    c. g R /2
    d. None

    Correct Answer: b. √(g R)

    Explanation:
    Derived from centripetal and gravitational force: v = √(g R)


    MCQ 40

    Missile fired at 98 m/s, θ = 30° with horizontal. Airborne distance:

    a. 196 m
    b. 122.5 m
    c. 98 m
    d. 2940 m

    Correct Answer: b. 122.5 m

    Explanation:
    Time in air: t = 2 V sinθ / g → y_max etc.


    MCQ 41

    The work done by friction is always:

    a. Positive
    b. Zero
    c. Negative
    d. Maximum

    Correct Answer: c. Negative

    Explanation:
    Friction always opposes motion, so work done is negative.


    MCQ 42

    Angle of projection for which range = maximum height:

    a. tan⁻¹ 1/4
    b. tan⁻¹ 4
    c. tan⁻¹ 1/2
    d. tan⁻¹ 2

    Correct Answer: b. tan⁻¹ 4

    Explanation:
    R = H → derived from projectile motion equations


    MCQ 43

    If velocity-time graph is a straight line parallel to time-axis, then:

    a. Acceleration is constant
    b. Acceleration is zero
    c. Acceleration is variable
    d. Velocity is zero

    Correct Answer: b. Acceleration is zero

    Explanation:
    Slope = acceleration → horizontal line → slope = 0


    MCQ 44

    Two blocks of masses 10 kg and 3 kg placed in contact, acted by 40 N. Acceleration of 1 kg mass:

    a. 40 m/s²
    b. 10 m/s²
    c. 30 m/s²
    d. 50 m/s²

    Correct Answer: b. 10 m/s²

    Explanation:
    a = F / (m1 + m2) = 40 / (10 + 3) ≈ 10 m/s²


    MCQ 45

    Mechanical energy is the sum of:

    a. Kinetic and thermal energy
    b. Potential and thermal energy
    c. Kinetic and potential energy
    d. Heat and work

    Correct Answer: c. Kinetic and potential energy

    Explanation:
    Mechanical Energy = KE + PE


    MCQ 46

    In an isolated system, total mechanical energy remains:

    a. Zero
    b. Constant
    c. Maximum
    d. Minimum

    Correct Answer: b. Constant

    Explanation:
    No external force → energy conservation holds.


    MCQ 47

    Power is defined as:

    a. Work × time
    b. Work ÷ time
    c. Force × distance
    d. Energy × velocity

    Correct Answer: b. Work ÷ time

    Explanation:
    P=WtP = \frac{W}{t}


    MCQ 48

    Time required for projectile to reach max height H:

    a. √(8 H/g)
    b. √(4 H/g)
    c. √(2 H/g)
    d. √(H/g)

    Correct Answer: c. √(2 H/g)

    Explanation:
    t = V sinθ / g → using H = (V sinθ)² / 2g → t = √(2H/g)


    MCQ 49

    Two cars moving opposite directions: 10 m/s and 5 m/s. Relative velocity:

    a. 5 m/s
    b. -5 m/s
    c. 10 m/s
    d. 15 m/s

    Correct Answer: d. 15 m/s

    Explanation:
    Opposite directions → add velocities → 10 + 5 = 15 m/s


    MCQ 50

    Two bodies move in same direction; distance increases at 4 m/s, opposite 6 m/s. Speeds of bodies:

    a. 5 m/s, 1 m/s
    b. 6 m/s, 1 m/s
    c. 3 m/s, 3 m/s
    d. 4 m/s, 2 m/s

    Correct Answer: a. 5 m/s, 1 m/s

    Explanation:
    v1 + v2 = 6, v1 - v2 = 4 → solve → v1 = 5 m/s, v2 = 1 m/s


    MCQ 51

    The SI unit of power is:

    a. Joule
    b. Newton
    c. Watt
    d. Pascal

    Correct Answer: c. Watt

    Explanation:
    1W=1J s11\,\text{W} = 1\,\text{J s}^{-1}


    MCQ 52

    A machine is said to be ideal if its efficiency is:

    a. 50%
    b. Less than 100%
    c. Greater than 100%
    d. 100%

    Correct Answer: d. 100%

    Explanation:
    Ideal machine has no energy loss.


    MCQ 53

    Rocket motion in space obeys conservation of:

    a. Energy
    b. Charge
    c. Mass
    d. Momentum

    Correct Answer: d. Momentum

    Explanation:
    No external force → linear momentum conserved


    MCQ 54

    Quantities constant in collision:

    a. Momentum, K.E, Temp
    b. Momentum, K.E
    c. Momentum, Temp
    d. Momentum only

    Correct Answer: d. Momentum only

    Explanation:
    Momentum conserved; K.E only in elastic collision


    MCQ 55

    Fireman slides down rope with breaking strength ¾ W. Minimum acceleration:

    a. 3/4 g
    b. 1/2 g
    c. 1/4 g
    d. Zero

    Correct Answer: c. 1/4 g

    Explanation:
    F = W - T → a = (1/4) g


    MCQ 56

    Force on a 2 N mass with momentum change 120 kg·m/s:

    a. 8 s
    b. 30 s
    c. 60 s
    d. 120 s

    Correct Answer: c. 60 s

    Explanation:
    F = ΔP/Δt → Δt = ΔP/F = 120/2 = 60 s


    MCQ 57

    Efficiency of a machine is the ratio of:

    a. Output work to input work
    b. Input work to output work
    c. Power to energy
    d. Force to velocity

    Correct Answer: a. Output work to input work

    Explanation:
    η=Useful outputInput\eta = \frac{\text{Useful output}}{\text{Input}}


    MCQ 58

    Force by wall on water hitting at 10 m/s, volume flow 0.0001 m³/s:

    a. 1 N
    b. 10 N
    c. 100 N
    d. None

    Correct Answer: a. 1 N

    Explanation:
    F = Δp/Δt = ρ V ΔV = 1 N


    MCQ 59

    Which quantity remains conserved in elastic collision?

    a. Kinetic energy only
    b. Momentum only
    c. Both kinetic energy and momentum
    d. Potential energy

    Correct Answer: c. Both kinetic energy and momentum

    Explanation:
    Elastic collisions conserve both KE and momentum.


    MCQ 60

    Angle between centripetal force and momentum in circular motion:

    a. 90°
    b. 0°
    c. 180°
    d. 30°

    Correct Answer: a. 90°

    Explanation:
    Centripetal force perpendicular to velocity → θ = 90°


    MCQ 61

    If the velocity of a body is doubled, its kinetic energy becomes:

    a. Double
    b. Half
    c. Four times
    d. Same

    Correct Answer: c. Four times

    Explanation:
    KE ∝ v2v^2


    MCQ 62

    Kinetic energy of a body depends upon:

    a. Velocity only
    b. Mass only
    c. Mass and velocity
    d. Acceleration

    Correct Answer: c. Mass and velocity

    Explanation:
    KE=12mv2KE = \frac{1}{2}mv^2


    MCQ 63

    Gravitational potential energy depends upon:

    a. Velocity
    b. Acceleration
    c. Height
    d. Time

    Correct Answer: c. Height

    Explanation:
    PE=mghPE = mgh


    MCQ 64

    Cricket ball hit at 45°, K.E = E. K.E at highest point:

    a. 0
    b. E/2
    c. E/√2
    d. E

    Correct Answer: b. E/2

    Explanation:
    Horizontal component of velocity remains → K.E = ½ E


    MCQ 65

    Spring potential energy is given by:

    a. 12kx\frac{1}{2}kx
    b. kx2kx^2
    c. 12kx2\frac{1}{2}kx^2
    d. kxkx

    Correct Answer: c. 12kx2\frac{1}{2}kx^2

    Explanation:
    Energy stored in a stretched/compressed spring.


    MCQ 66

    The work–energy theorem states that work done equals change in:

    a. Momentum
    b. Power
    c. Energy
    d. Velocity

    Correct Answer: c. Energy

    Explanation:
    Work done = change in kinetic energy.


    MCQ 67

    A shell mass m moving with velocity V breaks into 2 pieces. Velocity of larger piece:

    a. V
    b. 2V
    c. 4V/3
    d. 3V/4

    Correct Answer: c. 4V/3

    Explanation:
    Conservation of momentum


    MCQ 68

    Rubber ball dropped 5 m, rises 1.8 m. Velocity lost factor:

    a. 16/25
    b. 2/5
    c. 3/5
    d. 9/25

    Correct Answer: c. 3/5

    Explanation:
    V₂ / V₁ = √(h₂ / h₁) = √(1.8 / 5) → V₂ / V₁ = 3/5


    MCQ 69

    Person travels x = 20t + 2A t². Acceleration:

    a. A / 4
    b. 4 / A
    c. 4
    d. 4A

    Correct Answer: d. 4A

    Explanation:
    x = ut + ½ a t² → compare → a = 4A


    MCQ 70

    A body of mass 2 kg moving with speed 3 m/s has kinetic energy:

    a. 3 J
    b. 6 J
    c. 9 J
    d. 18 J

    Correct Answer: d. 18 J

    Explanation:
    K=12mv2=12×2×9=18JK = \frac{1}{2}mv^2 = \frac{1}{2}×2×9 = 18\,\text{J}


    MCQs No. 71

    If no net work is done on a body, its kinetic energy will:

    a. Increase
    b. Decrease
    c. Remain unchanged
    d. Become zero

    Correct Answer: c. Remain unchanged

    Explanation:
    According to the work–energy theorem,

    W=ΔKEW = \Delta KE

    If work done is zero, change in kinetic energy is zero.


    MCQs No. 72

    The work done by gravitational force on a body moving horizontally is:

    a. Maximum
    b. Minimum
    c. Zero
    d. Infinite

    Correct Answer: c. Zero

    Explanation:
    Gravitational force acts vertically while displacement is horizontal, so

    W=Fscos90=0W = F s \cos 90^\circ = 0

    MCQs No. 73

    A body of mass 2 kg has velocity 3 m/s. Its kinetic energy is:

    a. 3 J
    b. 6 J
    c. 9 J
    d. 18 J

    Correct Answer: c. 9 J

    Explanation:

    KE=12mv2=12(2)(32)=9JKE = \frac{1}{2}mv^2 = \frac{1}{2}(2)(3^2)=9\,J

    MCQs No. 74

    Which force is conservative in nature?

    a. Frictional force
    b. Air resistance
    c. Gravitational force
    d. Viscous force

    Correct Answer: c. Gravitational force

    Explanation:
    Work done by gravitational force is path-independent, hence conservative.


    MCQs No. 75

    The area under a power–time graph represents:

    a. Force
    b. Momentum
    c. Work done
    d. Velocity

    Correct Answer: c. Work done

    Explanation:

    Work=Pdt\text{Work} = \int P \, dt

    MCQs No. 76

    In absence of non-conservative forces, the quantity conserved is:

    a. Kinetic energy only
    b. Potential energy only
    c. Mechanical energy
    d. Momentum

    Correct Answer: c. Mechanical energy

    Explanation:

    KE+PE=constantKE + PE = \text{constant}

    when no energy loss occurs.


    MCQs No. 77

    The potential energy stored in a stretched spring depends upon:

    a. Extension only
    b. Force only
    c. Square of extension
    d. Mass attached

    Correct Answer: c. Square of extension

    Explanation:

    PE=12kx2PE = \frac{1}{2}kx^2

    MCQs No. 78

    When a ball strikes the ground and rebounds with less speed, the collision is:

    a. Elastic
    b. Perfectly elastic
    c. Inelastic
    d. Perfectly inelastic

    Correct Answer: c. Inelastic

    Explanation:
    Some kinetic energy is lost during collision, hence inelastic.


    MCQs No. 79

    Power of a machine is measured as:

    a. Work done per unit time
    b. Force per unit time
    c. Energy per unit distance
    d. Momentum per unit time

    Correct Answer: a. Work done per unit time

    Explanation:

    P=WtP = \frac{W}{t}

    MCQs No. 80

    If velocity of a body is doubled, its kinetic energy becomes:

    a. Doubled
    b. Four times
    c. Half
    d. Eight times

    Correct Answer: b. Four times

    Explanation:

    KEv2KE \propto v^2

    So doubling velocity increases KE by 22=42^2 = 4 times.


    MCQ 81

    Bullet mass m, velocity V fired into block M. Velocity of system:

    a. m/(M+m) V
    b. (M+m)/m V
    c. m/(M+m) V
    d. M/(M-m) V

    Correct Answer: a. m/(M+m) V

    Explanation:
    Conservation of momentum


    MCQ 82

    Conservation of linear momentum ≡

    a. Newton 1st Law
    b. Newton 2nd Law
    c. Newton 3rd Law
    d. None

    Correct Answer: a. Newton 1st Law

    Explanation:
    No net force → momentum constant


    MCQ 83

    Elastic head-on collision, same mass, initially at rest. Velocity of first particle after collision:

    a. 2V
    b. -V
    c. V
    d. 0

    Correct Answer: d. 0

    Explanation:
    v1 = (m1 - m2)/(m1 + m2) V1 + … = 0


    MCQ 84

    In an inelastic collision:

    a. KE increases
    b. KE decreases
    c. KE remains same
    d. Momentum is not conserved

    Correct Answer: b. KE decreases

    Explanation:
    Some energy converts into heat/sound.


    MCQ 85

    Bomb dropped from plane at 200 mph, reaches ground in 5 s. Altitude:

    a. 4 miles
    b. 122.5 m
    c. 40 m
    d. 10 m

    Correct Answer: b. 122.5 m

    Explanation:
    H = ½ g t² = ½ × 9.8 × 25 ≈ 122.5 m


    MCQ 86

    In an elastic collision:

    a. Momentum only is conserved
    b. Energy only is conserved
    c. Both KE and momentum are conserved
    d. Neither is conserved

    Correct Answer: c. Both KE and momentum are conserved

    Explanation:
    Elastic collision conserves total mechanical energy.


    MCQ 87

    Change in momentum requires:

    a. Force applied
    b. Change in time
    c. Change in distance
    d. Change in temperature

    Correct Answer: a. Force applied

    Explanation:
    Δp/Δt = F


    MCQ 88

    Mechanical energy is conserved when:

    a. Friction acts
    b. Only conservative forces act
    c. Acceleration is zero
    d. Momentum is constant

    Correct Answer: b. Only conservative forces act

    Explanation:
    Non-conservative forces cause energy loss.


    MCQ 89

    SI unit of power is:

    a. Joule
    b. Watt
    c. Newton
    d. Pascal

    Correct Answer: b. Watt

    Explanation:
    P=WtP = \frac{W}{t}


    MCQ 90

    Does not change when force applied:

    a. Mass
    b. Velocity
    c. Position
    d. Acceleration

    Correct Answer: a. Mass

    Explanation:
    Mass is invariant


    MCQ 91

    Impulse same unit as:

    a. Force
    b. Energy
    c. Momentum
    d. None

    Correct Answer: c. Momentum

    Explanation:
    Impulse = Δp → unit = kg·m/s


    MCQ 92

    Horizontal component of velocity in projectile motion:

    a. Increase
    b. Decrease
    c. Constant
    d. None

    Correct Answer: c. Constant

    Explanation:
    No horizontal force → Vx constant


    MCQ 93

    Projectile travels 1000 m. Max height:

    a. 400 m
    b. 800 m
    c. 500 m
    d. 250 m

    Correct Answer: d. 250 m

    Explanation:
    H = R/4 for 45° projection


    MCQ 94

    Impulse is equal to change in:

    a. Energy
    b. Velocity
    c. Momentum
    d. Force

    Correct Answer: c. Momentum

    Explanation:
    I=ΔpI = \Delta p


    MCQ 95

    A body of mass 2 kg moving at 3 m/s has kinetic energy:

    a. 3 J
    b. 6 J
    c. 9 J
    d. 18 J

    Correct Answer: c. 9 J

    Explanation:
    KE=12mv2=12(2)(9)=9JKE = \frac{1}{2}mv^2 = \frac{1}{2}(2)(9) = 9J 


    MCQ 96

    Work done by gravity on a freely falling body is:

    a. Zero
    b. Negative
    c. Positive
    d. Variable

    Correct Answer: c. Positive

    Explanation:
    Force and displacement are in same direction.


    MCQ 97

    If no work is done on a body, then its:

    a. Velocity must change
    b. Energy must change
    c. KE remains constant
    d. Momentum becomes zero

    Correct Answer: c. KE remains constant

    Explanation:
    No work → no change in KE.


    MCQ 98

    A machine with efficiency 80% loses energy mainly due to:

    a. Momentum
    b. Friction
    c. Weight
    d. Pressure

    Correct Answer: b. Friction

    Explanation:
    Energy dissipates as heat due to friction.


    MCQ 99

    Area under force–displacement graph represents:

    a. Power
    b. Momentum
    c. Work
    d. Energy loss

    Correct Answer: c. Work

    Explanation:
    Work = area under F–s curve.


    MCQ 100

    Why are brakes applied slowly in vehicles?

    a. To increase power
    b. To reduce impulse
    c. To increase KE
    d. To conserve energy

    Correct Answer: b. To reduce impulse

    Explanation:
    Increasing stopping time reduces force.

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