Physics Objective Questions and Answers: Laws Of Motion
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Multiple Choice Questions
Assertion (A): On a rainy day, it is difficult to drive a car or bus at high speed.
Reason (R): The value of the coefficient of friction is lowered due to wetting of the surface.
(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. Wet roads reduce μ, so the maximum friction available for braking and turning is less.
2. The Reason explains the Assertion.
Teacher's Note:
1. v_max² = μrg on a flat turn.
(a) MV
(b) 1.5 MV
(c) 2 MV
(d) zero
Show Answer & Explanation
Answer: (c) 2 MV
Explanation:
1. Change in momentum = MV − (−MV).
2. Impulse = 2MV.
Teacher's Note:
1. The velocity reverses, so the change doubles.
(a) outside the car
(b) in the car ahead of the person
(c) in the car to the side of the person
(d) exactly in the hand which threw it up
Show Answer & Explanation
Answer: (d) exactly in the hand which threw it up
Explanation:
1. The ball keeps the car's horizontal velocity and the car does not accelerate.
2. So the ball stays above the hand and falls back into it.
Teacher's Note:
1. Horizontal velocities are equal, so there is no relative horizontal motion.
(a) mg
(b) m(g + a)
(c) m(g − a)
(d) 0
Show Answer & Explanation
Answer: (d) 0
Explanation:
1. After the rope breaks, the lift and the body both fall freely with acceleration g.
2. The body feels weightlessness, so the contact force (tension) is zero.
Teacher's Note:
1. Free fall means zero apparent weight.
(a) \( a=\frac{m_2g}{m_1+m_2} \)
(b) \( a=\frac{m_1g}{m_1+m_2} \)
(c) \( a=\frac{m_1}{(m_1+m_2)g} \)
(d) \( a=\frac{m_2}{(m_1+m_2)g} \)
Show Answer & Explanation
Answer: (a) \( a=\frac{m_2g}{m_1+m_2} \)
Explanation:
1. The driving force is m₂g and the total mass moving is m₁ + m₂.
2. So a = m₂g/(m₁ + m₂).
Teacher's Note:
1. Treat both blocks as one system along the string.
(a) \( m(\vec v_2-\vec v_1) \)
(b) \( m(\vec v_1-\vec v_2) \)
(c) \( m(\vec v_2+\vec v_1) \)
(d) \( 0.5\,m(\vec v_2-\vec v_1) \)
Show Answer & Explanation
Answer: (a) \( m(\vec v_2-\vec v_1) \)
Explanation:
1. Impulse = change in momentum = m v₂ − m v₁.
2. So it equals m(v₂ − v₁).
Teacher's Note:
1. Final minus initial momentum.
(a) \( (n+1)mv \)
(b) \( \frac{mv}{n} \)
(c) \( \frac{mv}{n^{2}} \)
(d) \( mnv \)
Show Answer & Explanation
Answer: (d) \( mnv \)
Explanation:
1. Momentum given to the bullets per second = n m v.
2. The force needed to keep the gun in place equals this rate of change, nmv.
Teacher's Note:
1. Force equals momentum ejected per second.
(a) The speed changes uniformly
(b) The acceleration changes uniformly
(c) The direction of motion changes
(d) All of these
Show Answer & Explanation
Answer: (c) The direction of motion changes
Explanation:
1. A perpendicular force does no work, so the speed stays constant.
2. It changes the direction of motion only.
Teacher's Note:
1. Perpendicular force gives centripetal acceleration.
(a) both parts will have numerically equal momentum
(b) the lighter part will have more momentum
(c) the heavier part will have more momentum
(d) both parts will have equal kinetic energy
Show Answer & Explanation
Answer: (a) both parts will have numerically equal momentum
Explanation:
1. The body was initially at rest, so the total momentum is zero.
2. The two parts must have equal and opposite momenta, hence equal magnitudes.
Teacher's Note:
1. Momentum is conserved; energy is not shared equally.
| Column I | Column II |
|---|---|
| (A) Inertia | (1) \( 10^{5}\ \text{g cm s}^{-1} \) |
| (B) Recoil of a gun | (2) kg f |
| (C) 1 kg m s\( ^{-1} \) | (3) Newton's third law of motion |
| (D) Weight | (4) Newton's first law of motion |
(a) A-2, B-3, C-1, D-4
(b) A-1, B-3, C-4, D-2
(c) A-4, B-2, C-1, D-3
(d) A-4, B-3, C-1, D-2
Show Answer & Explanation
Answer: (d) A-4, B-3, C-1, D-2
Explanation:
1. Inertia is described by the first law.
2. Gun recoil is an action-reaction effect.
3. 1 kg m/s = 1000 g × 100 cm/s = 10⁵ g cm/s.
4. Weight can be expressed in kg f.
Teacher's Note:
1. Link each concept with its law or unit.
(a) static friction, f_s
(b) kinetic friction, f_s
(c) kinetic friction, f_k
(d) static friction, f_k
Show Answer & Explanation
Answer: (c) kinetic friction, f_k
Explanation:
1. Friction during relative motion is kinetic friction.
2. It is denoted by f_k.
Teacher's Note:
1. Kinetic friction opposes sliding.
(a) Only I
(b) Only III
(c) III and IV
(d) I and II
Show Answer & Explanation
Answer: (b) Only III
Explanation:
1. Statements I, II and IV agree with the idea that a force is needed to change the state of motion.
2. A breeze moves the branches rather than making them stationary, so III is incorrect.
Teacher's Note:
1. Force changes motion; a breeze produces motion.
(a) \( \sqrt{gR} \)
(b) \( \sqrt{2gR} \)
(c) \( \sqrt{3gR} \)
(d) \( \sqrt{5gR} \)
Show Answer & Explanation
Answer: (a) \( \sqrt{gR} \)
Explanation:
1. The particle leaves the surface at the top when mg = mv²/R.
2. So v = √(gR).
Teacher's Note:
1. The normal reaction becomes zero.
(a) Uniform circular motion
(b) Elliptical motion
(c) Uniform straight line motion
(d) Projectile motion
Show Answer & Explanation
Answer: (c) Uniform straight line motion
Explanation:
1. Uniform motion along a straight line has zero acceleration, so no net force is needed.
2. Circular, elliptical and projectile motions all involve acceleration.
Teacher's Note:
1. Zero acceleration means zero net force.
(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. The first law qualitatively defines force as the cause of change of the state of motion and defines inertia.
2. It is the second law, not the first, that measures force.
Teacher's Note:
1. Force is measured by the second law.
(a) 20 N
(b) 15 N
(c) 35 N
(d) 40 N
Show Answer & Explanation
Answer: (d) 40 N
Explanation:
1. Total weight = 60 N, so a = (120 − 60)/6 = 10 m/s².
2. For the 2 kg block, T − 20 = 2 × 10, so T = 40 N.
Teacher's Note:
1. Find the common acceleration, then apply F = ma on the lower block.
(a) the weight of the drop W
(b) the viscous drag of air F
(c) W + F + force of buoyancy
(d) zero
Show Answer & Explanation
Answer: (d) zero
Explanation:
1. Constant speed means zero acceleration.
2. The weight is balanced by the drag and buoyancy, so the net force is zero.
Teacher's Note:
1. Terminal velocity: balanced forces.
(a) 1 : 2
(b) 2 : 1
(c) \( \sqrt2:1 \)
(d) \( 1:\sqrt2 \)
Show Answer & Explanation
Answer: (a) 1 : 2
Explanation:
1. Work done = F s = ½ m v², so s ∝ m for the same F and v.
2. The ratio is 1 : 2.
Teacher's Note:
1. Stopping distance is proportional to mass here.
(a) \( R_1=R_2 \)
(b) \( R_1 \lt R_2 \)
(c) \( R_1 \gt R_2 \)
(d) none of these
Show Answer & Explanation
Answer: (b) \( R_1 \lt R_2 \)
Explanation:
1. The car tends to topple outward, so the load shifts to the outer wheels.
2. The outer wheels have the greater reaction, R₂ > R₁.
Teacher's Note:
1. Torque balance about the centre of mass.
(a) push against the air
(b) push against the earth
(c) react against the rocket and push it up
(d) heat up the air which lifts the rocket
Show Answer & Explanation
Answer: (c) react against the rocket and push it up
Explanation:
1. The rocket pushes the gases down and the gases push the rocket up (Newton's third law).
2. It works even in vacuum, so it needs neither the air nor the earth.
Teacher's Note:
1. Rocket propulsion is momentum conservation.
(a) there is no force acting on it
(b) the force acting on it is not in contact with it
(c) the combination of forces acting on it balances each other
(d) the body is in vacuum
Show Answer & Explanation
Answer: (c) the combination of forces acting on it balances each other
Explanation:
1. A body at rest has zero acceleration, so the net force is zero.
2. Forces may still act on it, but they balance.
Teacher's Note:
1. Rest means a balanced set of forces, not no forces.
(a) have a horizontal inward component
(b) be vertical
(c) equilibriate the centripetal force
(d) be decreased
Show Answer & Explanation
Answer: (a) have a horizontal inward component
Explanation:
1. The normal reaction is tilted towards the centre because of the banking.
2. Its horizontal inward component supplies the centripetal force.
Teacher's Note:
1. Banking tilts the normal force inward.
Assertion (A): Friction is a necessary evil.
Reason (R): Though friction dissipates power, without friction we cannot walk.
(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. Friction wastes energy as heat but is needed to walk, drive and hold objects.
2. The Reason gives both sides of the idea and explains the Assertion.
Teacher's Note:
1. Friction has both good and bad effects.
(a) I only
(b) II only
(c) I and II
(d) none of these
Show Answer & Explanation
Answer: (a) I only
Explanation:
1. Gun recoil follows from conservation of linear momentum, so I is correct.
2. An explosion is also explained by momentum conservation (internal forces), so II is not the right principle.
Teacher's Note:
1. Internal forces change the momentum of parts, not of the whole.
(a) velocity
(b) force
(c) acceleration
(d) all of the above
Show Answer & Explanation
Answer: (d) all of the above
Explanation:
1. Constant momentum means constant velocity for a fixed mass.
2. Then the acceleration is zero and the net force is zero (a constant).
Teacher's Note:
1. Constant p implies zero acceleration and force.
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Laws Of Motion Objective Questions & Solutions for JEE Physics
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FAQs
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