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:

A calorie is a unit of heat and equal 4.2 J. Suppose we employ a system of units in which the unit of mass is $\alpha$ kg, the unit of length is $\beta$ metre and the unit of time is γ sec. In this new system. 1 calorie =

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

The SI unit of universal gas constant (R) is

$1kWh\; =$

Which of the following is not the unit of energy

The unit of potential energy is

The unit of magnetic moment is

Which does not have the same unit as others

The unit of e.m.f. is

One is equivalent to 931 MeV energy. The rest mass of electron is $9.1 imes {10^{ - 31}}kg$. the Mass equivalent energy is (1 amu = $= 1.67 imes {10^{ - 17}}kg$)