Home
Class 12
PHYSICS
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`
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Two guns A and B can fire bullets at speeds 1 km/s and 2 km/s respectively. From a point on a horizontal ground, they ared fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is :

Two guns A and B can fire bullets at speeds 1 km/s and 2 km/s respectively. From a point on a horizontal ground, they ared fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns, on the ground is :

Knowledge Check

  • Several bullets are fired from a particular gun in various possible directions . If bullets are fired with a speed u, then maximum area of ground covered by the bullets is

    A
    `(pi u^(4))/(g)`
    B
    `(pi u^(4))/(g^(2))`
    C
    `(4 pi u^(4))/(g^(2))`
    D
    `(pi u ^(4))/(g^(4))`

  • A gun is firing bullets with velocity v_0 by rotating it through 360^@ in the horizontal plane. The maximum area covered by the bullets is

    A
    `(piv_(0)^2)/g`
    B
    `(pi^2v_(0)^2)/g`
    C
    `(piv_(0)^4)/(g^2)`
    D
    `(pi^2v_(0)^4)/g`

  • A bullet is dropped from the same height when another bullet is fired horizontally. They will hit the ground

    A
    One after the other
    B
    Simultaneously
    C
    Depends on the observer
    D
    None of the above

    • Similar Questions

    Explore conceptually related problems

    A large number of bullets are fired in all directions with the same speed v . Find the maximum area on the ground on which these bullets will spread.

    A gun fires two bullets at 60^(@) and 30^(@) with the horizontal. The bullets strike at some horizontal distance. The ratio of maximum height for the two bullet is

    A man fires a bullet of mas 20g at a speed of 100 m/s. The gun is 2 kg mass. By what velocity the gun rebounds backward?

    Two bullets are fired simultaneously, horizontally and with different speeds from the same place. Whch bullet will hit the ground first?

    A bullet is fired from a gun falls at a distance half of its maximum range. The angle of projection of the bullet can be :

    Home
    Profile