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The speed of a projectile at its maximum...

The speed of a projectile at its maximum height is `sqrt3//2` times its initial speed. If the range of the projectile is n times the maximum height attained by it, n is equal to :

A

`3//5`

B

`4//3`

C

`3sqrt2`

D

`4sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
D
`u cos theta=sqrt3/2u rArr cos theta=sqrt3/2 rArr theta=30^(@)`
`R=N xx H rArr (u^(2) sin 2theta)/(g)=Nxx (u^(2) sin^(2) theta)/(2g)`
`rArr N =4 cot theta=4 cot 30^(@)=4sqrt3`
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