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Given below are two statements : one is labeled as Assertion A and the other is labeled as Reason R.
Assertion (A) : When a body is projected at an angle $45^{0}$ it’s range is maximum.
Reason (R) : For maximum range, the value of $\sin 2 θ$ should be equal to one.( $θ$ = angle of projection)
In the light of the above statements, choose the correct answer from the options given below :

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Both A and R are correct and R is the correct explanation of A

A is true but R is false

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

A is false but R is true

answer is A.

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Detailed Solution

$Range of a projectile is \frac{u^{2} \sin 2 θ}{g}$

$For range to be maximum \sin 2 θ should be maximum.$

$∴ \sin 2 θ = 1 \Rightarrow 2 θ = π / 2 \Rightarrow 45^{\circ}$

A & R are correct and correct explanation.

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