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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: (1) A is false but R is true (2) A is true but R is false (3) Both A and R is true (4) Both A and R are correct but R is NOT the correct explanation of A

1. A is false but R is true
2. A is true but R is false
3. Both A and R is true
4. Both A and R are correct but R is NOT the correct explanation of A

Correct answer: Both A and R is true

Solution

Both statements are correct; when a projectile is launched at a 45° angle, it achieves maximum range due to the optimal balance of vertical and horizontal components of its velocity, and the condition for maximum range, sin 2θ = 1, is satisfied at this angle.

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