Assertion: A bullet is fired from a rifle. If the rifle recoils freely, the kinetic energy of rifle is more than that of the bullet. Reason: In case of rifle bullet system, the law of conservation of momentum violates.

Question

Assertion: A bullet is fired from a rifle. If the rifle recoils freely, the kinetic energy of rifle is more than that of the bullet. Reason: In case of rifle bullet system, the law of conservation of momentum violates. (A) If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion. (B) If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion. (C) If the Assertion is correct but Reason is incorrect. (D) If the Assertion is incorrect and Reason is correct.

Tardigrade Admin · Accepted Answer

Law of conservation of linear momentum is correct when no external force acts. When bullet is fired form a rifle then both should possess equal momentum but different kinetic energy.

E = \frac{p ^{2}}{2 m}

∴

Kinetic energy of the rifle is less than that of bullet because

E \propto 1/ m

Q. Assertion : A bullet is fired from a rifle. If the rifle recoils freely, the kinetic energy of rifle is more than that of the bullet. Reason : In case of rifle bullet system, the law of conservation of momentum violates.

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

If the Assertion is correct but Reason is incorrect.

If the Assertion is incorrect and Reason is correct.

Law of conservation of linear momentum is correct when no external force acts. When bullet is fired form a rifle then both should possess equal momentum but different kinetic energy. E=2mp2​ ∴ Kinetic energy of the rifle is less than that of bullet because E∝1/m

Q. Assertion : A bullet is fired from a rifle. If the rifle recoils freely, the kinetic energy of rifle is more than that of the bullet.
Reason : In case of rifle bullet system, the law of conservation of momentum violates.

Law of conservation of linear momentum is correct when no external force acts. When bullet is fired form a rifle then both should possess equal momentum but different kinetic energy. $E = \frac{p ^{2}}{2 m}$
$∴$ Kinetic energy of the rifle is less than that of bullet because $E \propto 1/ m$