Q.

Two guns are mounted (fixed) on two vertical cliffs that are very high from the ground as shown in figure. The muzzle velocity of the shell from G1 is u1 and that from G2 is u2. The guns aim exactly towards each other The ratio u1 : u2 such that the shells collide with each other in air is (Assume that there is no resistance of air)

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a

1 : 2

b

1 : 4

c

will not collide for any ratio

d

will collide for any ratio

answer is D.

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Detailed Solution

As the relative acceleration is zero, the particles will meet for all values of u1 and u2 (Assuming they do not collide with the ground. It is given that the cliffs are very high)
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Two guns are mounted (fixed) on two vertical cliffs that are very high from the ground as shown in figure. The muzzle velocity of the shell from G1 is u1 and that from G2 is u2. The guns aim exactly towards each other The ratio u1 : u2 such that the shells collide with each other in air is (Assume that there is no resistance of air)