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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

60m

B

71m

C

100m

D

141m

Text Solution

Verified by Experts

The correct Answer is:
C
(c): The horizontal range of a projectile with initial speed u and launch angle `theta` is given by
`R=(u^(2) sin 2theta)/(g), theta_(1)=15^(@), theta_(2)=45^(@)`
As u is kept , `R prop sin 2theta`
`(R_(2))/(R_(1))=(sin 2 theta_(2))/(sin 2theta_(1)) =(sin 90^(@))/(sin 30^(@)) =(1)/(I//2)=2`
`therefore R_(2)=R_(1)xx2=50xx2=100m`
The correct option is (c).
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