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Questions  

A quantity x is given by  IFv2/WL4 in terms of moment of inertia I, force F, velocity  ν, work W and length L. The dimensional formula for x is same as that of:

a
Planck’s constant
b
Energy density
c
force constant
d
Coefficient of viscosity

detailed solution

Correct option is B

I FV2WL4=ML2MLT−2LT−12ML2T−2L4 =ML−1T−2 =   Energy  densityThis is equivalent to energy per unit volume, called as energy density

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The quantities A and B are related by the relation A/B = m, where m is the linear mass density and A is the force, the dimensions of B will be


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