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Obtain the dimensions of the following p...

Obtain the dimensions of the following physical quantities :
(i)momentum, (ii)moment, (iii)impulse, (iv)power, (v)power, (vi)frequency, (vi)angular acceleration, (vii)velocity gradient, (viii)surface tension, (ix)moment of inertia, (x)`epsilon` , permittivity of a medium , (xi)thermal conductivity, (xii)stress , (xiii)strain, (xiv)Young's modulus.

Text Solution

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The correct Answer is:
(i)`MLT^(-1)` , (ii)`ML^(2)T^(-2)` , (iii)`MLT^(-1)` , (iv)`ML^(2)T^(-3)`
(v)`T^(-1)` , (vi)`T^(-2)` ,(vii)`T^(-1)` , (viii)`ML^(0)T^(-2)` , (ix)`ML^2`
(x)`M^(-1)L^(-3)T^4 I^2` , (xi)`MLT^(-3)K^(-1)` , (xii)`ML^(-1)T^(-2)`
(xiii)No dimension , (xiv)`ML^(-1)T^(-2)`
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