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Two guns A and B can fire bullets at spe...

Two guns A and B can fire bullets at speeds 1 km/s and 4 km/s respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is:

A

`1:27`

B

`1:81 `

C

`1:256`

D

`1:49`

Text Solution

Verified by Experts

The correct Answer is:
C
`R = (u^2sin 2 theta)/(g)`
` R_(max) = (u^2)/(g)`
Area = `pi R_(max)^2`
`A_1/A_2 = (R_1/R_2)^2 = (u_1^4)/(u_2^4) = (1/4)^4 = 1/256`
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