Embibe Experts Solutions for Chapter: Physical World and Measurement, Exercise 3: Level 3

The side of a cube is $(2.00\pm 0.01) \mathrm{cm}$. The volume and surface area of the cube respectively are

Using a screw gauge, the observation of the diameter of a wire are $1.324, 1.326, 1.334$ and $1.336 \mathrm{cm}$ respectively. Then choose the incorrect option.

The pitch of a screw gauge having $50$ divisions on its circular scale is $1 \mathrm{mm}$. When the two jaws of the screw gauge are in contact with each other, the zero of the circular scale lies $6$ divisions below the line of graduation. When a wire is placed between the jaws, $3$ linear scale divisions are clearly visible while the ${31}^{\mathrm{st}}$ division on the circular scale coincides with the reference line. The diameter of the wire is:

Two full turns of the circular scale of a screw gauge cover a distance of $1 \mathrm{mm}$ on its main scale. The total number of divisions on the circular scale is $50$. Further, it is found that the screw gauge has a zero error of $-0.03 \mathrm{mm}$. While measuring the diameter of a thin wire, a student noted the main scale reading as $3 \mathrm{mm}$ and the number of circular scale divisions in line with the main scale as $35$. The diameter of the wire is,

If $10 \mathrm{cm}$, $10 \mathrm{g}$ and  $0.1 \mathrm{s}$ are taken as the unit of length, mass and time respectively in particular system. Find the unit of force in this system as expressed in SI unit will be equivalent to

Select the pair whose dimensions are same.

Dimensional formula $\left[{\mathrm{ML}}^{-1}{\mathrm{T}}^2\right]$ does not represents which of the following physical quantity?

The dimensional formula for impulse is same as the dimensional formula for