Assertion :If a sphere of mass m moving with speed u undergoes a perfectly elastic head-on collision with another sphere of heavier mass M at rest (M > m), then direction of velocity of sphere of mass m is reversed due to collision (no external force acts on system of two spheres). Reason: During a collision of sphere of unequal masses, the heavier mass exerts more force on the lighter mass in comparison to the force which lighter mass exerts on the heavier one.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is C Assertion is correct but Reason is incorrect
In the head-on collision with heavier masses the momentum is conserved but due to heavy mass velocity acquired by heavier mass is very less. So we consider heavier mass not moving and according to Newton law of motion, both masses applied equal and opposite force.

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Similar questions

Q. Assertion :If a sphere of mass

m

moving with speed

u

undergoes a perfectly elastic head-on collision with another sphere of heavier mass

M

at rest

(M > m)

, then direction of velocity of sphere of mass

m

is reversed due to collision (no external force acts on system of two spheres). Reason: During a collision of sphere collision of sphere of unequal masses, the heavier mass exerts more force on the lighter mass in comparison to the force which lighter exerts on the heavier one.

Assertion (A) Rate constant determined from Arrhenius equation are fairly accurate for simple as well as complex molecules.

Reason (R) Reactant molecules undergo chemical change irrespective of their orientation during collision.

(a) Both assertion and reason are correct and the reason is correct explanation of assertion
(b) Both assertion and reason are correct, but reason does not explain assertion.
(c) Assertion is correct, but reason is incorrect
(d) Both assertion and reason are incorrect
(e) Assertion is incorrect but reason is correct.

Assertion (A) All collision of reactant molecules lead to product formation.

Reason (R) Only those collisions in which molecules have correct orientation and sufficient kinetic energy lead to compound formation.

Assertion: The mass of Chlorine is 35.5 u

Reason: For elements having isotopes, the average of mass of its isotopes is considered as the atomic mass of that element.

Q. Two spheres of different masses moving in the same direction undergo perfect head on elastic collision.
Then,
a) Their velocities are interchanged if they are of same mass
b) If the heavier sphere were at rest before collision. it continues to be at rest after collision and the lighter sphere retraces its path with the same velocity
c) If the lighter sphere were at rest before collision, it moves with the velocity of the heavier sphere and the heavier sphere continues to move with its original velocity after collision.
d) If the lighter sphere were at rest before collision, it moves with double the velocity of the heavier sphere and the heavier sphere continues to move with its original velocity, after collision.

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