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 $a$?

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 units of mass, length and time are doubled, unit of angular momentum will be

If the units of mass, length and time are doubled, unit of angular momentum will be

What will be the unit of time in that system in which the unit of length is metre, unit of mass is kg and unit of force is kg wt?