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A ball is projected with speed u at an a...

A ball is projected with speed u at an angle `theta` to the horizontal. The range R of the projectile is given by
`R=(u^(2) sin 2theta)/(g)`
for which value of `theta` will the range be maximum for a given speed of projection? (Here g= constant)

A

`pi/2 rad`

B

`pi/4 rad`

C

`pi/3 rad`

D

`pi/6 rad`

Text Solution

Verified by Experts

The correct Answer is:
B
As `sin2theta le 1` so range will be maximum if `sin 2theta=1`. Therefore `2theta=pi/2 rArr theta=pi/4 rad`
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