Work Energy And Power Question 266

Question: If a machine gun fires n bullets per second each with kinetic energy K, then the power of the machine gun is

Options:

A) $ {nK^{2}} $

B) $ \frac{K}{n} $

C) $ {n^{2}}K $

D) $ nK $

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Answer:

Correct Answer: D

Solution:

[d] $ Power=\frac{totalwork done}{time} $

$ =\frac{\frac{1}{2}Mv^{2}}{t}=\frac{1}{2}( mv^{2} )n\because \frac{M}{t}=mn $

$ =kn\because [ K.E.K=\frac{1}{2}mv^{2} ] $



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