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

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 are correct and R is the correct explanation of A

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

Solution

Horizontal range of a projectile from a horizontal plane is given by, R=u2sin2θg.

Clearly for maximum range, sin2θ=1.

Therefore, θ=45°.

Asked in: JEE Main 2023 (06 Apr Shift 1)

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