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Friday, 9 October

NEET UG 2021 · Physics · Question 45

NEET 2021 Physics, question 45

Question 45 of the NEET 2021 paper (code O1) is a Physics question from Motion in a Plane. Its idea, Maximum Height, was asked twice, in 2021 and 2023, across NEET 2017–2026. The NTA final answer key gives option 2.

Updated 2026-10-08

Q45 · Physics

A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution.

If this particle were projected with the same speed at an angle 'θ' to the horizontal, the maximum height attained by it equals 4R. The angle of projection, θ, is then given by :

  1. 1θ=sin⁡−1(π2RgT2)1/2\theta = \sin^{-1}\left(\frac{\pi^{2}R}{gT^{2}}\right)^{1/2}
  2. 2θ=sin⁡−1(2gT2π2R)1/2\theta = \sin^{-1}\left(\frac{2gT^{2}}{\pi^{2}R}\right)^{1/2}Official answer
  3. 3θ=cos⁡−1(gT2π2R)1/2\theta = \cos^{-1}\left(\frac{gT^{2}}{\pi^{2}R}\right)^{1/2}
  4. 4θ=cos⁡−1(π2RgT2)1/2\theta = \cos^{-1}\left(\frac{\pi^{2}R}{gT^{2}}\right)^{1/2}

Official answer: option 2 · NTA final answer key

Same idea

Maximum Height, in other papers

NEET asked this idea twice, in 2021 and 2023. The other question below.

  • 2023 Q25A bullet is fired from a gun at the speed of 280 m s−1^{-1} in the direction 30° above the horizontal. The maximum height attained by the…Numerical · Easy

Maximum Height: every question and how it was framed

The chapter

Motion in a Plane in ten years of NEET

6 questions from 2017–2026, asked in 5 of 10 papers, about 0.6 a paper. Projectile Motion alone had 5.

Chapter analysisStudy this chapterPractise this chapter

Motion in a Plane: questions per paper

0241’170’181’190’202’211’221’230’240’250’26