Embibe Experts Solutions for Chapter: Physics and Measurement, Exercise 1: Level 1

Which of the following units denotes the dimensions $\frac{M{L}^2}{Q^2}$, where $Q$ denotes the electric charge?

Which of the following pairs does not have similar dimensions?

In a vernier callipers, the least count of main scale is $1 \mathrm{mm}.$ $20$ division of vernier scale are matching with $19$ divisions of main scale. The thickness of the object measured by the vernier callipers will be :

An object falls for a time of $0.25 \mathrm{s}$. The acceleration of free fall is $9.81 \mathrm{m} {\mathrm{s}}^{-2}$. The displacement is calculated. Which of the following gives the correct number of significant digits for the calculated value of the displacement of the object?

A square shape plate has area $\left(400\pm 0.4\right) {\mathrm{m}}^2$. The side length of the plate is

External and internal diameters of a hollow cylinder are measured to be $(4.23\pm 0.01) \mathrm{cm}$ and $(3.89\pm 0.01) \mathrm{cm}$. The thickness of the wall of the cylinder is

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is $0.5 \mathrm{mm}$ and there are $50$divisions on the circular scale. The reading on the main scale is $2.5 \mathrm{mm}$ and that on the circular scale is $20$ divisions. If the measured mass of the ball has a relative error of $2\%$, the relative percentage error in the density is
 

The main scale division and pitch of a screw gauge is $0.05 \mathrm{cm}$. Number of circular scale division in the circular scale is $100$. When no object is placed between the studs then the $0$ of main scale is not visible and $5^{\mathrm{th}}$ division of circular scale coincides with the main scale. When a wire is placed in between the studs then the reading on main scale is $4.6 \mathrm{mm}$ and ${52}^{\mathrm{nd}}$ division on circular scale matches with reference line on main scale. The actual diameter of wire is