Question

Ratio of ranges of the bullets fred from a gun with same speed at angle theta 2theta and 4theta respectively is found to be in the ratio of x:√3:√3 Then the value of x will be ​

Answer 1

0.5

Explanation:

The formula for the range of the projectile is $u^2 sin(2\alpha )/g$.

We know that the range when the angle is Θ as well as when it is 2Θ is the same.

This means that sin(2Θ) = sin(4Θ)

Thus

2Θ= 180° - 4Θ

This gives

Θ = 30°

Thus.

x/$\sqrt{3}$ = sin(30')/sin(60')

this gives us the value of x as 0.5 or 1/2.

Explanation: