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

Which does not have the same unit as others

SI unit of electric intensity is

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

Which of the following is not represented in correct unit

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?

There are atomic clocks capable of measuring time with an accuracy of 1 part in ${10^{11}}$. If two such clocks are operated with precision, then after running for 5000 years, these will record

Light year is a unit of

Which of the following equations is dimensionally incorrect according to the principle of homogeneity?

There are atomic clocks capable of measuring time with an accuracy of 1 part in ${10^{11}}$. If two such clocks are operated with precision, then after running for 5000 years, these will record

In an experiment the angles are required to be measured using an instrument. 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half-a-degree $\left( { = 0.5^\circ } \right),$ then the least count of the instrument is