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The range of a projectile fired at an an...

The range of a projectile fired at an angle of `15^@` is 50 m. If it is fired with the same speed at an angle of `45^@` its range will be

A

60 m

B

71 m

C

100 m

D

141 m

Text Solution

Verified by Experts

The correct Answer is:
C
Horizontal range, `R = (u^(2) sin 2theta)/(g)`
For the same speed.
`R prop sin 2theta`
`therefore (R_(1))/(R_(2)) = (sin2 xx15^(@))/(sin2 xx 45^(@)) = (sin 30^(@))/(sin 90^(@))`
or `R_(2) = R_(1) (sin 90^(@))/(sin 30^(@)) = 50 m xx(1)/(((1)/(2))) = 100m`
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