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An artillary piece which consistently sh...

An artillary piece which consistently shoots its shells with the same muzzle speed has a maximum range R. To hit a target which is `R//2` from the gun and on the same level, the elevation angle of the gun should be

A

`15^(@)`

B

`45^(@)`

C

`30^(@)`

D

`60^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
We know that `R_("max")=R=(u^(2))/(g)=u^(2)Rg`
Now , as range `=(u^(2)sin 2 theta)/(g)` then `(R)/(2)=(Rg sin 2 theta)/(g)`
Or `sin 2 theta=sin30^(@)`
or `2 theta=30^(@) or theta=15^(@)`
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