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Assertion : Two projectile have maximum ...

Assertion : Two projectile have maximum heights 4H and H respectively. The ratio of their horizontal components of velocities should be 1:2 for their horizontal ranges to be same.
Reason : Horizontal range = horizontal component of velocity xx time of flight.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true and the Reason is not the correct explanation of the Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false, but the Reason is true.

Text Solution

Verified by Experts

The correct Answer is:
A, B
`H = (u^2sin^2theta)/(2g)`
or `usintheta prop sqrt(H)`
`(usintheta)_1/(usintheta)_2 = sqrt((4H)/(H)) = 2`
`T = (2usintheta)/g rArr Tprop usintheta`
`T_1/T_2 = (usintheta)_1/(usintheta)_2 = 2/1`
`R = u_x T`
`:. R_1/R_2 = (u_x)_1/(u_x)_2 * T_1/T_2 = (1/2)(2/1) = 1`
`:. R_1 = R_2`
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