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Physics
The physical quantities not having same dimensions are
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Q. The physical quantities not having same dimensions are
AIEEE
AIEEE 2003
Physical World, Units and Measurements
A
torque and work
9%
B
momentum and Planck’s constant
74%
C
stress and Young’s modulus
9%
D
speed and $(μ_0ε_0)^{−1/2}$
8%
Solution:
Dimensions of momentum $= kg\, m/sec = [MLT^{−2}]$
Dimensions of Planck’s constant = joule sec $= [ML^2T^{−1}]$
$∴$ Dimensions of momentum $≠$ dimensions of Planck’s constant.