JEE Main · 2023 · 06 Apr 2023 · Shift 1 · Kinematics

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Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.

Assertion A : When a body is projected at an angle

4 5^{\circ}

, it's range is maximum.
Reason R : For maximum range, the value of

sin 2 θ

should be equal to one.
In the light of the above statements, choose the correct answer from the options given below :

(A)Both $A$ and $R$ are correct but $R$ is NOT the correct explanation of $A$
(B)Both $A$ and $R$ are correct $R$ is the correct explanation of $A$ ✓ Correct
(C) $A$ is true but $R$ is false
(D) $A$ is false but $R$ is true

Answer: (B)

Solution

The range of a projectile is given by

R = \frac{u ^{2}}{g} sin 2 θ

.

For maximum range,

sin 2 θ

must be maximum, which occurs when

sin 2 θ = 1

, i.e., when

2 θ = 9 0^{\circ}

θ = 4 5^{\circ}

.

Both statements are correct, and R correctly explains why A is true.

JEE Main · 2023 · 06 Apr 2023 · Shift 1 · Single correct option

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JEE Main · 2023 · 06 Apr 2023 · Shift 1 · Kinematics

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