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 $a$?

The dimensions of $1/2\,\varepsilon {E^2}$ are same as

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

Let L denote the self-inductance of coil which is in series with a capacitor of capacitance C. Which of the following has the unit second?

The damping force of an oscillating particle is observed to be proportional to velocity. The constant of proportionality can be measured in

Assuming the mass of Earth as $6.64 imes {10^{24}}kg$ and the average mass of the atoms that make up earth as 40u (atomic mass unit), the number of atoms in the Earth are approximately

A physical quantity u is given by the relation $u = \frac{{{B^2}}}{{2{{\rm{\mu }}_0}}}$ here, B=magnetic field strength ${{\rm{\mu }}_0} =$ magnetic permeability of vacuum.

How many wavelengths of $K{r^{86}}{\rm{\;}}$ are there in one metre

Which of the following quantities has not been expressed in proper unit

The time period of a simple pendulum is given by $T = 2\pi\sqrt{\frac{l}{g}} + kx$, where $l$ is the length, $g$ is acceleration due to gravity, and $x$ is displacement. The dimensions of $k$ are:

The SI unit of length is the metre. Suppose we adopt a new unit of length which equal x metre. The area of $1{m^2}$ expressed in terms of the new unit has a magnitude