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PhysicsSingle correct+4 / -1Question 26 of 75

JEE Main 2026 · 2 Apr · Shift 2, Physics question 26

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

Choose one option
Answer and worked solution

Official answer: B

Dimensions. [G]=M−1L3T−2[G]=M^{-1}L^3T^{-2} and [h]=ML2T−1[h]=ML^2T^{-1}.

Check (B). hT−1LM−2hT^{-1}LM^{-2} has dimensions
ML2T−1⋅T−1⋅L⋅M−2=M−1L3T−2 ✓ML^2T^{-1}\cdot T^{-1}\cdot L\cdot M^{-2}=M^{-1}L^3T^{-2}\ ✓

The others fail: (A) has T0T^{0}, (C) has L4L^4, (D) has M−3M^{-3}.

(B)