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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 45^°, its range is maximum. Reason R: For maximum range, the value of sin 2θ should be equal to one. In the light of the above statements, choose the correct answer from the options given below:

Both A and R are correct but R is NOT the correct explanation of A

Kinematics

JEE Main level, single correct, medium

227 of 308

Question 227 of 308

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 $45^{\circ},$ its range is maximum.
Reason R: For maximum range, the value of sin $2\theta$ should be equal to one.
In the light of the above statements, choose the correct answer from the options given below:

Show answer and solution

Answer: (C) Both $A$ and $R$ are correct and $R$ is the correct explanation of $A$

Horizontal range of a projectile from a horizontal plane is given by,

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

.
Clearly for maximum range,

\sin 2\theta =1

.
Therefore,

\theta =45^{\circ}

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