If the equation $P = \frac{F}{A}$ is dimensionally homogeneous, where $P$ is pressure, $F$ is force, and $A$ is area, what are the dimensions of pressure?

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

The velocity of a wave is given by $v = \sqrt{\frac{T}{\mu}} + ax^2$, where $T$ is tension, $\mu$ is linear density, and $x$ is displacement. What are the dimensions of $a$?

If the speed $v$ of transverse waves on a stretched string depends on the tension $T$ in the string and the mass per unit length $μ$ of the string, which of the following is dimensionally consistent?

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

If the acceleration due to gravity is 10$\;{\rm{m}}{{\rm{s}}^{ - 2}}$ and the units of length and time are changed in kilometer and hour respectively, the numerical value of acceleration is

The frequency $ν$ of vibration of a stretched string depends on its length $l$, its linear mass density $μ$, and its tension $T$. Which of the following is a possible formula for $ν$, consistent with the principle of homogeneity?

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

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:

If the unit of force and length each be increased by four times, then the unit of energy is increased by

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