Assertion A: When a body is projected at an angle 45°, its range is maximum. Reason R: For maximum range, the value of sin 2 should be equal to one. [2023]

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Solution

Q.
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: [2023]

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

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

3 A is false but R is true

4 A is true but R is false

Ans.
(2)

$R = \frac{u^{2}}{g} \sin 2 θ$

$R is maximum for 2 θ = 90 °$

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