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If R is the maximum horizontal range of ...

If R is the maximum horizontal range of a particle, then the greatest height attained by it is :

A

R

B

2R

C

`(R)/(2)`

D

`(R)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
For `theta=45^(@)` range will be maximum `R_("max")=(u^(2))/(g)`
`rArr H=(u^(2)sin^(2)545^(@))/(2g)=(u^(2))/(4g)=(R)/(4)`
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