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 =

Light year is a unit of

If the acceleration due to gravity is 10$\;{\rm{m}}{{\rm{s}}^{ - 2}}$ and the units of length and time are changed in kilometer and hour respectively, the numerical value of acceleration is

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

A pressure of ${10^6}$ dyne ${\rm{c}}{{\rm{m}}^{ - 2}}$ is equivalent to

A weber is equivalent to

Precision in measurement depends on

If the equation $P = \frac{F}{A}$ is dimensionally homogeneous, where $P$ is pressure, $F$ is force, and $A$ is area, what are the dimensions of pressure?

newton-second is the unit of

Which does not have the same unit as others

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