The viscous force $F$ acting on a sphere of radius $r$ moving with velocity $v$ through a fluid of viscosity $\eta$ is given by $F = 6\pi \eta rv + kr^2v^2$. The dimensions of $k$ are:

One slug is equivalent to 14.6 kg. A force of 10 pound is applied on a body of 1 kg. The acceleration of the body is

Which relation is wrong

If ${u_1}\,and\,{u_2}$ are the units selected in two systems of measurement and ${n_1}\,and\,{n_2}$ their numerical values, then

Length is measured in metre and time in second as usual. But a new unit of mass is so chosen that G=1. This new unit of mass is equal to

One  light  year  is defined as the distance travelled by light in one year. The speed of light is $3 imes {10^8}{\rm{m}}{{\rm{s}}^{ - 1}}$. The same in metre is

Density of liquid in CGS system is $0.625{\rm{\;\;g\;c}}{{\rm{m}}^{ - 3}}.$. What is its magnitude in SI system?

A pressure of ${10^6}$ dyne ${\rm{c}}{{\rm{m}}^{ - 2}}$ is equivalent to

Electron – volt is the unit of energy (1 eV = 1.6 $imes {10^{ - 19}}J)$. in H-atom, the binding energy of electron in first orbit is 13.6 eV. The same in joule (J) is

What is the power of a 100 W bulb in CGS units?

Wavelength of ray of light is 0.00006 m. It is equal to