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If the range of a gun which fires a shel...

If the range of a gun which fires a shell with muzzle speed V is R , then the angle of elevation of the gun is

A

`cos^(-1)((v^(2))/(Rg))`

B

`cos^(-1)((Rg)/(v^(2)))`

C

`1/2sin^(-1)((v^(2))/(Rg))`

D

`1/2sin^(-1)((Rg)/(v^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
D
`R=(v^(2)sin 2 theta)/g`or `sin 2 theta=(gR)/(v^(2))`
`:.theta=1/2sin^(-1)((gR)/(v^(2)))`
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Knowledge Check

  • If the range of a gun which fires a shell with muzzle speed ν is R, then the angle of elevation of the gun is :-

    A
    `cos^(-1)(v^2/(Rg))`
    B
    `cos^(-1)((Rg)/v^2)`
    C
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