Assertion: The maximum horizontal range of projectile is proportional to square of velocity.
Reason: The maximum horizontal range of projectile is equal to maximum height attained by projectile.

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

c

Explanation

`R=(u^(2)sin 2 theta)/g`
`R_(max)=(u^(2))/g when theta=45^(@)`
`:. R_(max) prop u^(2)`
Height `H=(u^(2)sin^(2) theta)/(2g)`
`implies H_(max)=(u^(2))/(2g) when theta=90^(@)`
It is clear that `H_(max)=(R_(max))/2`