+2 votes
in Class 12 by kratos

The dimension ML-1 T-2 can correspond to
(a) moment of a force

(b) surface tension

(c) modulus of elasticity

(d) coefficient of viscosity.

1 Answer

+5 votes
by kratos
 
Best answer

(c) modulus of elasticity

Explanation:

The dimension of force is MLT⁻² and of length is L. So the dimension of the moment of a force will be ML²T⁻². So the option (a) is not true.

The unit of surface tension is force per unit length. So the dimension of surface tension is ML⁰T⁻². So the option (b) is not true.

The unit of the coefficient of viscosity is Pascal-second. Which is Forcesecond/area. The dimension will be MLT⁻²T/L² =ML⁻¹T⁻¹. So the option (d) is not true.

The modulus of elasticity is stress/strain. the strain is dimensionless. So the unit of elasticity will be the same as the unit of stress. It is force/area. The dimension will be MLT⁻²/L² =ML⁻¹T⁻². Hence the option (c).

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