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Saturday, 31 October

JEE Main 2022 · PhysicsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 July 2022, Shift 2, Physics Q31

Question 31 of 90 in this shift, Physics question 1 of 30, Section A.

An expression of energy density is given by u=αβsin⁡(αxkt)u=\frac{\alpha}{\beta}\sin\left(\frac{\alpha x}{kt}\right), where α\alpha, β\beta are constants, xx is displacement, kk is Boltzmann constant and t is the temperature. The dimensions of β\beta will be :
  1. (1)[ML2T−2θ−1][ML^2T^{-2}\theta^{-1}]
  2. (2)[M0L2T−2][M^0L^2T^{-2}]
  3. (3)[M0L0T0][M^0L^0T^0]
  4. (4)[M0L2T0][M^0L^2T^0]Official answer

Official answer

Option 4

NTA final key.

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Idea tested
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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.