Q63 / 90 · JEE Main 2021 (01 Sep Shift 2) · Physics

The ranges and heights for two projectiles projected with the same initial velocity at angles $42 °$ and $48 °$ with the horizontal are $R_{1}, R_{2}$ and $H_{1}, H_{2}$ respectively. Choose the correct option:

Solution

Range

R = \frac{u^{2} \sin 2 θ}{g}

and same for

θ

and

90 - θ

. So, same for

42 °

and

48 °

Maximum height

H = \frac{u^{2} \sin^{2} θ}{2 g}

, so height is high for higher

θ

. So,

H

for

48 °

is higher than

H

for

42 °

Hence, the correct answer is option: 'B'.