Units & measurements practice · Medium

Which physical quantities have same dimensions?

If speed $(V)$, acceleration $(A)$ and force $(F)$ are considered as fundamental units, the dimension of Young’s modulus will be

Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful

The dimensions of Wien’s constant are

A dimensionally consistent relation for the volume V of a liquid of coefficient of viscosity $\eta$ flowing per second through a tube of radius r and length l and having pressure p across its end, is

The dimensions of pressure are:

Which of the following pairs has same dimensions?

Planck’s constant has the dimensions (unit) of

Joule – Second is the unit of

Farad is not equivalent to

The dimensions of a rectangular block measured with calipers having least count of 0.01 cm are 5 mm $\times$ 10 mm $\times$ 5 mm. The maximum percentage error in the measurement of the volume of the block is

Given that $2l\sqrt {\frac{m}{T}}$, where l is the length of a string of linear density m, under tension T has the same dimensional formula as that of

The quantity $X = \frac{{{\varepsilon _0}LV}}{t}:{\varepsilon _0}$ is the permittivity of free space, L is length, V is potential difference and t is time. The dimensions of X are same as that of

A physicist performs an experiment and takes 200 readings. He repeats the same experiment and now takes 800 readings. By doing so the probable error

In a slide calliper, $n$ divisions of vernier scale coincides with $(n-1)$ divisions of main scale. The least count of the instrument is

In a metre bridge experiment, we try to obtain the null point at the middle. This:

In which of the following instruments used in the lab there exists an error of random category known as back lash error?
(i) Screw gauge
(ii) Spherometer
(iii) Searle's apparatus
(iv) Vernier callipers

Oersted is a unit of

If E,m,J and G represent energy, mass, angular momentum and gravitational constant respectively, then the dimensional formula of $E{J^2}/{m^5}{G^2}$ is

A sextant is used to measure

Light Year is a unit of

The dimensions $\mathrm{[ML}{\mathrm{T}^{ - 2}}{\mathrm{A}^{ - 2}}\mathrm{]}$ belong to the:

Which one of the following is not a unit of Young’s modulus?

If L,C and R denote inductance, capacitance and resistance respectively, then which of the following combination has the dimension of time?

A screw gauge gives the following readings when used to measure the diameter of a wire
Main scale reading: 0 mm
Circular scale reading: 52 divisions
Given that 1mm on main scale corresponds to 100 divisions on the circular scale. The diameter of the wire from the above data is

Dimensions of charge are

The fundamental physical quantities that have same dimensions in the dimensional formulae of torque and angular momentum are

The dimensional formula of $\frac{1}{{{\varepsilon _0}}}\frac{{{e^2}}}{{hc}}$ is

“Pascal-Second” has dimension of

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?