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JEE Main 2026 (2 Apr, Shift 2) · Applications of Dimensional Analysis

Applications of Dimensional Analysis question from JEE Main 2026 (2 Apr, Shift 2)

Q6JEE Main 2026 · 2 APR · SHIFT 2Easy

Applications of Dimensional Analysis

Dimensions of universal gravitational constant (GG) in terms of Planck's constant (hh), distance (LL), mass (MM) and time (TT) are _______.

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Answer: (b)

  1. [G]=[M−1L3T−2][G] = [M^{-1}L^3T^{-2}], [h]=[ML2T−1][h] = [ML^2T^{-1}].
  2. Check option (b): [hT−1LM−2]=[ML2T−1][T−1][L][M−2][hT^{-1}LM^{-2}] = [ML^2T^{-1}][T^{-1}][L][M^{-2}].
  3. =[M−1L3T−2]=[G]= [M^{-1}L^3T^{-2}] = [G].
  4. So the answer is (b).
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