Units & measurements practice · Mixed difficulty

Dimensions of the following three quantities are the same

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?

Time (T), velocity (C) and angular momentum (h) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be :

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 relative error in the determination of the surface area of a sphere is $\alpha$. Then the relative error in the determination of it’s volume is

The physical quantity angular momentum has the same dimensions as that of

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?

Statement-I: Pressure can be subtracted from pressure gradient
Statement-II: Only like quantities can be added or subtracted from each other

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

If $A, B$ and $C$ are physical quantities, having different dimensions, which of the following combination can never be meaningful quantity?

Which of the following pairs does not have similar 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

If ${L_1} = (2.02 \pm 0.01)\,m$ and ${L_2} = (1.02 \pm 0.01)\,m$ then ${L_1} + 2{L_2}$ is (in m)

If the measurement of volume of solid sphere using the formula $V = \frac{4}{3}\pi {r^3}$ if the error committed in the measurement of the radius r is 1.5%, the percentage error in the volume measurement is

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

If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formulae of the force is

The physical quantity which is not a unit of energy is

Dimensions of impulse are same as that of

The vernier constant of Vernier callipers is $0.1 \mathrm{~mm}$ and it has zero error of $(-0.05) \mathrm{cm}$. While measuring diameter of a sphere, the main scale reading is $1.7 \mathrm{~cm}$ and coinciding vernier division is 5 . The corrected diameter will be $\times 10^{-2} \mathrm{~cm}$.