Basic Maths and Units and DimensionsHard
Question
The physical quantities not having same dimensions are
Options
A.torque and work
B.momentum and Planck′s constant
C.stress and Young′s modulus
D.speed and (μ0ε0)-1/2
Solution
Dimensions of momentum = kg m/sec = [MLT-2]
Dimensions of Planck′s constant = joule sec = [ML2T-1]
∴ Dimensions of momentum ≠ dimensions of Planck′s constant.
Dimensions of Planck′s constant = joule sec = [ML2T-1]
∴ Dimensions of momentum ≠ dimensions of Planck′s constant.
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