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361
Let us consider a new hypothetical system of measurement in which the unit of energy is called eluoj. Suppose, in this system, the gravitational force of attraction between two particles, each of mass 1 kg, separated by 1 km is taken as a unit of force. Then, how many joule are contained in one eluoj ? Given: G = 6.67 × 10^-11 N m^2 kg^-2.
The gravitational constant G has physical units (N·m^2·kg^-2), so it is dimensional; the others are dimensionless.
365
If dimensions of critical velocity v of a liquid flowing through a tube are expressed as [n^x p^y r^z], where n, p and r are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by
R has dimension L^-1, so R h c has dimensions L^-1 × (M L^2 T^-1) × (L T^-1) = M L^2 T^-2, which are the dimensions of energy; thus option C is correct.
369
Which of the following physical quantity has different units as compared to others?