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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 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

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

D

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

Text Solution

Verified by Experts

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

  • 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)((gR)/(V^(2)))`
    C
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