BITSAT2018PhysicsUnits and DimensionsActual
Dimension of which base quantity corresponds to that G h c 3 = ?
Options
- ATime
- BLength
- CMass
- DTemperalure
Correct answer
B. Length
Step-by-step solution
As, gravitational constant, G = M - 1   L 3   T - 2 Planck's constant, h = ML 2   T - 1 Hence, G h = M - 1 L 3 T - 2 ML 2 T - 1 = M 0 L 5   T - 3 Velocity of light, [ c ] = LT - 1 Now, G h c 3 1 / 2 = L 5 T - 3 1 / 2 L 3 T - 3 1 / 2 = L 2 1 / 2 = L Hence [ L ] = length