Multiple Choice Questions (MCQs) for JEE Physics: Laws Of Motion
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Practice Laws Of Motion MCQs for JEE Physics
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Multiple Choice Questions
(a) 40 m/s
(b) 20 m/s
(c) 30 m/s
(d) 15 m/s
Show Answer & Explanation
Answer: (b) 20 m/s
Explanation:
1. At the highest point mg − N = mv²/r.
2. The limit is N = 0, so v = √(gr) = √400 = 20 m/s.
Teacher's Note:
1. The normal force becomes zero at the limit.
(a) \( \mu_s<\mu_k<\mu_r \)
(b) \( \mu_k<\mu_r<\mu_s \)
(c) \( \mu_r<\mu_k<\mu_s \)
(d) \( \mu_r=\mu_k=\mu_s \)
Show Answer & Explanation
Answer: (c) \( \mu_r<\mu_k<\mu_s \)
Explanation:
1. Rolling friction is the smallest, static friction the largest.
2. So μr < μk < μs.
Teacher's Note:
1. Rolling is easier than sliding, and sliding easier than starting.
(a) to change its position
(b) to change its direction
(c) to change its momentum
(d) to resist any change in its state
Show Answer & Explanation
Answer: (d) to resist any change in its state
Explanation:
1. Inertia is the ability of a body to oppose any change in its state of rest or of uniform motion.
2. Mass is the measure of inertia.
Teacher's Note:
1. Inertia resists change; it does not cause change.
(a) the normal reaction
(b) the shape of the surface in contact
(c) the area of contact
(d) none of these
Show Answer & Explanation
Answer: (d) none of these
Explanation:
1. The coefficient depends only on the nature (material and roughness) of the surfaces.
2. It is independent of normal reaction, area and shape.
Teacher's Note:
1. μ is a property of the pair of materials.
Assertion (A): An object can move with constant velocity if no net force acts on it.
Reason (R): No net force is needed to move an object with constant velocity.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. By Newton's first law, zero net force gives constant velocity.
2. The Reason states the same fact and explains the Assertion.
Teacher's Note:
1. Motion at constant velocity is a force-free state.
(a) Centripetal force
(b) Weight of the body
(c) Normal reaction
(d) Force of friction
Show Answer & Explanation
Answer: (a) Centripetal force
Explanation:
1. Centripetal force is the resultant of the real forces such as tension, friction or gravity.
2. It is not an extra, separate force acting on the body.
Teacher's Note:
1. Name the actual forces and add them up.
Assertion (A): Mass is a measure of inertia of the body in linear motion.
Reason (R): The greater the mass, the greater the force required to change its state of rest or of uniform motion.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Explanation:
1. Inertia is the resistance to a change in motion, and the larger the mass, the larger the force needed for a given acceleration.
2. The Reason correctly explains the Assertion.
Teacher's Note:
1. F = ma links mass with resistance to change.
(a) 1 m
(b) 0.5 m
(c) 0.75 m
(d) 0.075 m
Show Answer & Explanation
Answer: (d) 0.075 m
Explanation:
1. v = 10 m/s and tan θ = v²/rg = 100/2000 = 0.05.
2. h = l tan θ = 1.5 × 0.05 = 0.075 m.
Teacher's Note:
1. Small angle: h/l ≈ tan θ.
(a) zero, zero
(b) zero, non-zero
(c) non-zero, zero
(d) non-zero, non-zero
Show Answer & Explanation
Answer: (b) zero, non-zero
Explanation:
1. By F = ma, zero net force gives zero acceleration.
2. A non-zero acceleration needs a non-zero net external force.
Teacher's Note:
1. The first law in the language of the second.
Assertion (A): The linear momentum of a body changes even when it is moving uniformly in a circle.
Reason (R): In uniform circular motion, the velocity remains constant.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (c) A is true, but R is false.
Explanation:
1. The direction of velocity, and hence of momentum, keeps changing, so the Assertion is true.
2. The velocity does not remain constant, so the Reason is false.
Teacher's Note:
1. Momentum is a vector.
(a) I only
(b) II and III
(c) I and III
(d) I and II
Show Answer & Explanation
Answer: (d) I and II
Explanation:
1. Static friction exists only in response to an applied force, so I is incorrect.
2. With no applied force it is zero, not maximum, so II is incorrect.
3. III is correct.
Teacher's Note:
1. Static friction is self-adjusting up to its limit.
(a) longer, lesser
(b) shorter, greater
(c) both (a) and (b)
(d) longer, greater
Show Answer & Explanation
Answer: (c) both (a) and (b)
Explanation:
1. F = Δp/Δt for a fixed Δp.
2. A longer time needs a smaller force, and a shorter time needs a greater force, so both pairings are correct.
Teacher's Note:
1. Force and time are inversely related for fixed momentum change.
(a) 27 m/s
(b) 3.7 m/s
(c) 54 m/s
(d) 37 m/s
Show Answer & Explanation
Answer: (a) 27 m/s
Explanation:
1. Impulse = 2mv.
2. v = 0.54/(2 × 0.01) = 27 m/s.
Teacher's Note:
1. The momentum change is 2mv.
(a) 10³ m/s
(b) 11.11 × 10³ m/s
(c) 11.11 × 10² m/s
(d) 10⁴ m/s
Show Answer & Explanation
Answer: (b) 11.11 × 10³ m/s
Explanation:
1. Momentum before = 100 × 10⁴.
2. After: 10 × 0 + 90 v.
3. v = 10⁶/90 = 11.11 × 10³ m/s.
Teacher's Note:
1. Conserve linear momentum.
(a) halved
(b) tripled
(c) doubled
(d) unchanged
Show Answer & Explanation
Answer: (d) unchanged
Explanation:
1. μ depends on the surfaces only.
2. Doubling N doubles the friction, but μ stays the same.
Teacher's Note:
1. μ = f/N is a constant for a given pair of surfaces.
(a) 5 kg
(b) 7 kg
(c) 17 kg
(d) 3 kg
Show Answer & Explanation
Answer: (a) 5 kg
Explanation:
1. The momenta of the first two parts are 12 and 16 kg m/s at right angles, giving a resultant √(144 + 256) = 20 kg m/s.
2. The third part must have equal momentum, so m × 4 = 20 and m = 5 kg.
Teacher's Note:
1. Total momentum after the explosion is zero.
Assertion (A): A cricketer moves his hands forward to catch a ball so as to catch it easily without hurting.
Reason (R): He tries to decrease the distance travelled by the ball so that it hurts less.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (c) A is true, but R is false.
Explanation:
1. Moving the hands back increases the stopping time, which reduces the force, so the Assertion is true.
2. The reason given is wrong because he increases the time (and stopping distance), not decreases it.
Teacher's Note:
1. Longer stopping time means a smaller force.
Assertion (A): Impulse of force and momentum are the same physical quantities.
Reason (R): Both quantities have the same unit.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Show Answer & Explanation
Answer: (d) A is false, but R is true.
Explanation:
1. Impulse is force × time and momentum is mass × velocity.
2. They have the same dimensions and units but are different quantities, so the Assertion is false and the Reason is true.
Teacher's Note:
1. Same unit does not mean same quantity.
(a) impulse
(b) momentum
(c) acceleration
(d) force
Show Answer & Explanation
Answer: (a) impulse
Explanation:
1. The wrapping increases the time of impact during a jolt.
2. For the same change in momentum, a longer time means a smaller force, so the wares are less likely to break.
Teacher's Note:
1. F = Δp/Δt: increase Δt to reduce F.
(a) \( mg/\cos\theta \)
(b) \( mg\cos\theta \)
(c) \( mg\sin\theta \)
(d) mg
Show Answer & Explanation
Answer: (a) \( mg/\cos\theta \)
Explanation:
1. The block has no vertical acceleration, so N cos θ = mg.
2. N = mg/cos θ.
Teacher's Note:
1. Resolve the normal reaction vertically.
(a) Accelerated motion in a straight line
(b) Retarded motion in a straight line
(c) Motion with constant motion along a straight line
(d) Motion along a straight line with varying velocity
Show Answer & Explanation
Answer: (c) Motion with constant motion along a straight line
Explanation:
1. Force is needed only when velocity changes.
2. Motion with constant velocity along a straight line needs no force.
Teacher's Note:
1. No change in velocity, no force.
(a) \( \frac{2ma}{g+a} \)
(b) \( \frac{2ma}{g-a} \)
(c) \( \frac{ma}{g+a} \)
(d) \( \frac{ma}{g-a} \)
Show Answer & Explanation
Answer: (a) \( \frac{2ma}{g+a} \)
Explanation:
1. Upthrust U: mg − U = ma, so U = m(g − a).
2. After removing Δm: U − (m − Δm)g = (m − Δm)a, so (m − Δm)(g + a) = m(g − a).
3. Δm = 2ma/(g + a).
Teacher's Note:
1. Upthrust remains the same.
(a) \( \mu=\frac{2}{\tan\theta} \)
(b) \( \mu=2\tan\theta \)
(c) \( \mu=\tan\theta \)
(d) \( \mu=\frac{1}{\tan\theta} \)
Show Answer & Explanation
Answer: (b) \( \mu=2\tan\theta \)
Explanation:
1. Let the length be L. By the work-energy theorem from top to bottom: mgL sin θ − μ mg cos θ (L/2) = 0.
2. So μ = 2 tan θ.
Teacher's Note:
1. Work done by gravity equals work against friction over half the length.
(a) the first law of motion
(b) the second law of motion
(c) the third law of motion
(d) Newton's law of gravitation
Show Answer & Explanation
Answer: (c) the third law of motion
Explanation:
1. The swimmer pushes the water backward and the water pushes the swimmer forward with an equal and opposite force.
2. This is Newton's third law.
Teacher's Note:
1. Action and reaction act on different bodies.
(a) the same as that of the net force
(b) opposite to that of the net force
(c) the same as that of the final velocity
(d) the same as that of the initial velocity
Show Answer & Explanation
Answer: (a) the same as that of the net force
Explanation:
1. Impulse = F Δt with Δt positive.
2. So it points in the direction of the net force, which is the direction of the change in momentum.
Teacher's Note:
1. Time is a positive scalar.
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Laws Of Motion Objective Questions & Solutions for JEE Physics
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FAQs
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