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5/15 MCQs for:
Units, dimensions and homogeneity

The SI unit of mutual inductance is the henry (H). Which of the following units is equivalent to the henry?

At temperatures close to 0 K, the specific heat capacity of a particular solid is given by c = b T³, where T is the thermodynamic temperature and b is a constant characteristic of the solid. What are the SI base units of b?

The equation relating the pressure and volume of a gas with its thermodynamic temperature T is given by pV = KT, where k is a constant. What are the base units of K?

A cylindrical tube rolling down a slope of inclination θ moves a distance L in time T. The equation relating these quantities is as in the figure. Where a is the internal radius of the tube and P and Q are constants. Which line gives the correct units for P and Q?

The position, x, of an object is given by the equation x = A + Bt +Ct², where t refers to time. What are the dimensions of A, B, and C?