Physics Two Dimensional Motion Question 228
Question: A large number of bullets are fired in all directions with same speed $ v $ . What is the maximum area on the ground on which these bullets will spread
Options:
A) $ \pi \frac{v^{2}}{g} $ B) $ \pi \frac{v^{4}}{g^{2}} $ C) $ {{\pi }^{2}}\frac{v^{4}}{g^{2}} $ D) $ {{\pi }^{2}}\frac{v^{2}}{g^{2}} $
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Answer:
Correct Answer: B
Solution:
[b] Area in which bullet will spread = $ \pi r^{2} $ For maximum area, $ r={R _{\max }}=\frac{v^{2}}{g}[\text{when }\theta ,,=45{}^\circ ] $ Maximum area $ \pi \ R _{\max }^{2}=\pi {{( \frac{v^{2}}{g} )}^{2}}=\frac{\pi v^{4}}{g^{2}} $
BETA
