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JEE Main 20211 SeptemberEvening Shift

Exam: JEE Main
Year: 2021
Date: 1 September
Shift: Evening Shift
Subject: Physics
Chapter: Motion in Two Dimensions

JEE Main 2021 · 1 September · Evening Shift · Physics · Motion in Two Dimensions

The ranges and heights for two projectiles projected with the same...

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:

Options

A ${R}_{1} = {R}_{2}$ and ${H}_{1} = {H}_{2}$
B ${R}_{1} = {R}_{2}$ and ${H}_{1} < {H}_{2}$
C ${R}_{1} > {R}_{2}$ and ${H}_{1} = {H}_{2}$
D ${R}_{1} < {R}_{2}$ and ${H}_{1} < {H}_{2}$

Correct answer

B. ${R}_{1} = {R}_{2}$ and ${H}_{1} < {H}_{2}$

Step-by-step solution

Range

R = \dfrac{{u}^{2}\sin 2\theta}{g}

and same for

\theta

and

90 - \theta

. So, same for

42 °

and

48 °

Maximum height

H = \dfrac{{u}^{2}\sin^{2}\theta}{2g}

, so height is high for higher

\theta

. So,

H

for

48 °

is higher than

H

for

42 °

.

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