Assertion: For projection angle `tan^(-1)(4)`, the horizontal range and the maximum height of a projectile are equal.
Reason: The maximum range of projectile is directely proportional to square of velocity and inversely proportional to acceleration due to gravity.

Options

A. If both the assertion and reason are true and reason is a true explantion of the assertion.
B. If both the assertion and reason are true but the reason is not true the correct explantion of the assertion.
C. If the assertion is true but reason false
D. If both the assertion and reason are false.

Answer

B

Explanation

We know that `R=4H cot theta`
If `R=H, then cot theta=(1/4) or tan theta=(4)`
and `R=(u^(2)sin 2 theta)/g :. R prop (u^(2))/g`