Units & measurements practice · Mixed difficulty

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

The dimensions of time constant are

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

Velocity of sound in a medium is given by ${A^{1/2}}\,{d^{ - 1/2}}$ where $d$ is density of medium. Then $A$ represents

No. of significant figures in 0.0241 is

The dimensions of pressure are:

Which of the following pairs has same dimensions?

The pitch of the screw gauge is 0.5 mm. Its circular scale contains 50 divisions. The least count of the screw gauge is

Taking into account the significant figures, what should be the value of 9.99 + 0.0099?

Using mass $(M)$, length $(L)$, time $(T)$ and current $(A)$ as fundamental quantities, the dimensions of permeability are

Planck’s constant has the dimensions (unit) of

Joule – Second is the unit of

Farad is not equivalent to

Dimension of mass, in the dimensional formula of magnetic flux is

The dimensions of force are

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

The dimensions of $\frac{R}{L}$ are
[here, R=electric resistance, L=self inductance]

The expression for centripetal force depends upon mass of body, speed of the body and the radius of circular path. Find the expression for centripetal force

If L and R are respectively the inductance and resistance, then the dimensions of $\frac{L}{R}$ will be

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

A resistor of 4 kΩ with tolerance 10% is connected in parallel with a resistor of 6 kW with tolerance 100%. The tolerance of the parallel combination is nearly

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