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JEE Main 20236 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
6 April
Shift
Morning Shift
Subject
Physics
Chapter
Motion in Two Dimensions

JEE Main 2023 · 6 April · Morning Shift · Physics · Motion in Two Dimensions

Given below are two statements: one is labelled as Assertion A and...

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

Assertion A: When a body is projected at an angle 45°,45 ° , its range is maximum.

Reason R: For maximum range, the value of sin 2θ2\theta should be equal to one.

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

Options

  1. AAA is false but RR is true
  2. BAA is true but RR is false
  3. C

    Both AA and RR are correct and RR is the correct explanation of AA

  4. D

    Both AA and RR are correct but RR is NOT the correct explanation of AA

Correct answer

C.

Both AA and RR are correct and RR is the correct explanation of AA

Step-by-step solution

Horizontal range of a projectile from a horizontal plane is given by, R=u2sin⁡2θgR = \dfrac{{u}^{2}\sin 2\theta}{g}.

Clearly for maximum range, sin⁡2θ=1\sin 2\theta = 1.

Therefore, θ=45°\theta = 45 °.

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