If $x = a + bt^2$, where $x$ is in meters and $t$ is in seconds, what are the dimensions of $b$?

Oersted is a unit of

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 =

Which of the following physical quantities has neither dimensions nor unit?

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?

$1kWh\; =$

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

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

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

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?

The time taken by an electron to go from ground state to excited state is one shake (one shake = ${10^{ - 8}}$ s) this time in nanosecond will be