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AIIMS 2008
Exam
AIIMS
Year
2008
Subject
Physics
Chapter
Motion in Two Dimensions

AIIMS 2008 · Physics · Motion in Two Dimensions

Assertion : When the velocity of projection of a body is made n...

Assertion : When the velocity of projection of a body is made nn times, its time of flight becomes nn times. Reason : Range of projectile does not depend on the initial velocity of a body.

Options

  1. AIf both assertion and reason are true and reason is the correct explanation of assertion
  2. BIf both assertion and reason are true but reason is not the correct explanation of assertion
  3. CIf assertion is true but reason is false
  4. DIf both assertion and reason are false.

Correct answer

C. If assertion is true but reason is false

Step-by-step solution

As time of flight, T=2usin⁡θg∴T′=2(nu)sin⁡θg=nTT=\frac{2 u \sin \theta}{g} \quad \therefore T^{\prime}=\frac{2(n u) \sin \theta}{g}=n T But range R=u2sin⁡2θg∴R′=n2u2sin⁡2θg=n2RR=\frac{u^2 \sin 2 \theta}{g} \therefore R^{\prime}=\frac{n^2 u^2 \sin 2 \theta}{g}=n^2 R.
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