Which of the following pairs have different dimensions? (Given: surface tension is energy/area)
A
Frequency and angular velocity
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B
Tension and surface tension
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C
Density and energy density
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D
Linear momentum and angular momentum
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Solution
The correct option is D Linear momentum and angular momentum Frequency and angular velocity have same dimensions [T−1].
Tension has dimension of force and surface tension has dimension of (force/length). Density has dimensions (massvolume) and energy density has dimensions (energyvolume). Angular momentum has dimensions of (linear momentum × distance).