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JEE Main 2023 (6 Apr, Shift 1) · Time of Flight, Maximum Height & Range

Time of Flight, Maximum Height & Range question from JEE Main 2023 (6 Apr, Shift 1)

Q15JEE Main 2023 · 6 APR · SHIFT 1Easy

Time of Flight, Maximum Height & Range

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∘45^\circ, it's range is maximum.

Reason R: For maximum range, the value of sin⁡2θ\sin 2\theta should be equal to one.

In the light of the above statements, choose the correct answer from the options given below:

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Answer: (a)

  1. R=u2sin⁡2θgR = \frac{u^2\sin 2\theta}{g} is largest when sin⁡2θ=1\sin 2\theta = 1 (R is true).
  2. sin⁡2θ=1⇒2θ=90∘⇒θ=45∘\sin 2\theta = 1 \Rightarrow 2\theta = 90^\circ \Rightarrow \theta = 45^\circ (A is true, and R explains it).
  3. So the answer is (a).
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