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JEE PHYSICS MCQ: SYSTEM OF PARTICLES

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A uniform rod of mass mm and length ll is struck at an end by a force FF perpendicular to the rod for a short time interval tt. Calculate

(a) the speed of the centre of mass
(b) the angular speed of the rod about the centre of mass

Assume that tt is so small that the rod does not appreciably change its direction while the force acts.
View answer and explanation
Correct option: A
(a) Ftm;\frac{F t}{m}; (b) 6Ftml\frac{6 F t}{m l}
Option C (1/2λ1/2\lambda) is correct because it is derived from the radioactive decay formula and the given ratio of active nuclei.

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