Embibe Experts Solutions for Chapter: Physical World and Measurement, Exercise 1: Exercise-1

Which of the following pairs does not have similar dimensions?

The radius of a disc is $1.2 \mathrm{cm}.$ Its area according to idea of significant figures is ,will be given by:

The area of a rectangle of size $1.23\times 2.345 \mathrm{cm}$ is

For a post office Box, the graph of galvanometer deflection versus $R$ (resistance pulled out of $RB$ ) for the ratio $100: 1$ is given as shown. A careless student pulls out two non consecutive values $\mathrm{R}$ marked in the graph. Find the value of unknown resistance.

The relative error in resistivity of a material where resistance $=1.05+0.01 \mathrm{W}$ diameter $=0.60+0.01 \mathrm{mm}$ length $=75.3+0.1 \mathrm{cm}$ is

In a given slide callipers $10$ division of its vernier coincides with its $9$ main scale divisions. If one main scale division is equal to $0.5 \mathrm{mm}$ then find its least count.

Consider a home made vernier scale as shown in the figure. In this diagram, we are interested in measuring the length of the line $PQ$. If both the inclines are identical and their angles are equal to $\theta$ then what is the least count of the instrument.

Consider $S=x\cos \left(\theta \right)$ for $x=(2.0\pm 0.2)\mathrm{cm},\theta =53\pm 2°$. Find $S$.