You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Work Energy Theorem Application

Two guns A ...

Question

Two guns $A$ and $B$ can fire bullets at speeds $1 k m / s$ and $2 k m / s$ 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

1 : 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : 4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : 8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : 16

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $1 : 16$
$R = \frac{u^{2} sin 2 θ}{g}$
$A = π R^{2}$
$A \propto R^{2}$
$A \propto u^{4}$
$\frac{A_{1}}{A_{2}} = \frac{u_{1}^{4}}{u_{2}^{4}} = {[\frac{1}{2}]}^{4} = \frac{1}{16}$ .

Suggest Corrections

Similar questions

Q. Two guns

A

and

B

can fire bullets at speeds

1 km/s

and

2 km/s

respectively, 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:

Q. Two guns

A

and

B

can fire bullets at speed of

3 km/s

and

4 km/s

respectively. , They are fired in all possible directions, from a point on the horizontal ground. The ratio of maximum area covered by the fired bullets on the ground will be:

Q. Two guns

A

and

B

can fire bullets at speed of

3 km/s

and

4 km/s

respectively. , They are fired in all possible directions, from a point on the horizontal ground. The ratio of maximum area covered by the fired bullets on the ground will be:

Two bullets are fired with horizontal velocities of 50m/s and 100m/s from two guns at a height of 19.6m . After how much time will the bullets strike the ground and which one will strike first?

Q. A bullet is fired from the gun , held horizontally such that the velocity of the bullet is

200 {m s}^{- 1}

and the gun is held 5 m above the ground. Find the horizontal distance covered by the bullet on reaching the ground

(T a k e g = 10 {m s}^{- 2})

Join BYJU'S Learning Program

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 are fired in all possible directions. The ratio of maximum areas covered by the bullets fired by the two guns,on the ground is

The correct option is D 1:16R=u2sin2θgA=πR2A∝R2A∝u4A1A2=u41u42=[12]4=116.

Two guns $A$ and $B$ can fire bullets at speeds $1 k m / s$ and $2 k m / s$ 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

The correct option is D $1 : 16$
$R = \frac{u^{2} sin 2 θ}{g}$
$A = π R^{2}$
$A \propto R^{2}$
$A \propto u^{4}$
$\frac{A_{1}}{A_{2}} = \frac{u_{1}^{4}}{u_{2}^{4}} = {[\frac{1}{2}]}^{4} = \frac{1}{16}$ .