Units & measurements practice · Medium

A physical quantity x depends on quantities y and z as follows: $x = Ay + B\tan C\,z$ where A, B and C are constants. Which of the following do not have the same dimensions

In a vernier callipers, one main scale division is $x\;cm$ and $n$ division of the vernier scale coincide with $\left( {n - 1} \right)$ divisions of the main scale. The least count (in cm) of the callipers is

The unit of the coefficient of viscosity in S.I. system is

The dimensions of surface tension are

The dimension of quantity (L/RCV) is

The position of a particle at time t is given by the relation $x\left( t \right) = \left( {\begin{array}{cccccccccccccccccccc} {\frac{{{v_0}}}{\alpha }}\\ \; \end{array}} \right)\left( {1 - {e^{\alpha t}}} \right),\;$ where ${v_0}$ is constant and $\alpha > 0$ . The dimensions of ${v_0}$ and $\alpha$ are respectively

The physical quantity which is not a unit of energy is

What is the SI unit of electron mobility?

The dimension of magnetic field in M, L, T and C (coulomb) is given as

The dimensions of stress are equal to

The unit of potential energy is

The thrust developed by a rocket-motor is given by $F = mv + A\left( {{p_1} - {p_2}} \right)$, where m is the mass of the gas ejected per unit time, $v$ is velocity of the gas, A is area of cross-section of the nozzle, ${p_1}.{p_2}$ are the pressures of the exhaust gas and surrounding atmosphere. The formula is dimensionally

Unit of Stefan's constant is

Which of the following is not represented in correct unit

If $L = 2.331\;cm,\;B = 2.1\;cm,$ then L+B=

In the equation X$X = 3Y{Z^2}$ X and Z have dimensions of capacitance and magnetic induction respectively. In MKS system, the dimensional formula of Y is

A quantity $x$ is given by $\left(I F v^2 / W L^4\right)$ in terms of moment of inertia $I$, force $F$, velocity $v$, work $W$ and Length $L$. The dimensional formula for $x$ is same as that of :

In the relation y=r sin $\left( {\omega t - kx} \right),\;$, the dimensions of $\omega /k$ are

If C and R represent capacitance and resistance respectively then the dimensions of RC are

A Vernier Calipers has 1mm marks on the main scale. It has 20 equal divisions on the Vernier scale which match with 16 main scale divisions. For this Vernier calipers, the least count is

Given $X = {\left( {Gh/{c^3}} \right)^{1/2}}$ , where G,h and c are gravitational constant, Planck’s constant and the velocity of light respectively. Dimensions of X are the same as those of

Dimensional formula for force is

The unit of self-inductance is

What is the dimension of Luminous flux?

The dimensions of torque are

In the context of accuracy of measurement and significant figures in expressing results of experiment, which of the following is/are correct
(1) Out of the two measurements 50.14 cm and 0.00025 ampere, the first one has greater accuracy
(2) If one travels 478 km by rail and 397 m by road, the total distance travelled is 478 km

The number of significant figures in all the given numbers 25.12, 2009, 4.156 and $1.217 \times {10^{ - 4}}$ is

Which of the following is/are the units of strength of magnetic field at a point?

Which of the following physical quantities have the
same dimensions?

Dimensions of permeability are