Embibe Experts Solutions for Chapter: Experiments in Physics, Exercise 1: Exercise - 1

A screw gauge with a pitch of $1 \mathrm{mm}$ has $100$ divisions on its circular scale. When the screw gauge is used to measure the diameter of a uniform wire of the length $5.6 \mathrm{cm}$, the main scale reading is $1 \mathrm{mm}$ and the circular scale reading is $47$. Calculate the area of the curved surface of the wire in ${\mathrm{cm}}^2$ to appropriate significant figures, using $\pi =\frac{22}{7}$. There is no zero error in the screw gauge.

The pitch of a screw gauge is $0.5 \mathrm{mm}$ and there are $100$ divisions on it circular scale. The instrument reads $+2$ circular scale divisions when nothing is put in-between its jaws. In measuring the diameter of a wire, there are $8$ divisions on the main scale and $83\mathrm{rd}$ circular scale division coincides with the reference line. Then the diameter of the wire is

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

The smallest division on the main scale of a vernier calipers is $1 \mathrm{mm}$ and $10$ vernier divisions coincide with $9$ main scale divisions. While measuring the diameter of a sphere, the zero mark of the vernier scale lies between $20$ and $21 \mathrm{mm}$ and the fifth division of the vernier scale coincides with a main scale division. Then the diameter of the sphere is 

To measure the diameter of a wire, a screw gauge is used. In a complete rotation, spindle of the screw gauge advances by $\frac{1}{2} \mathrm{mm}$ and its circular scale has $50$ deviations. The main scale is graduated to $\frac{1}{2} \mathrm{mm}$. If the wire is put between the jaws, $4$ main scale divisions are clearly visible and $10$ deviations of circular scale co-inside with the reference line. The resistance of the wire is measured to be $(10 \mathrm{\Omega }\pm 1\%)$. Length of the wire is measured to be $10 \mathrm{cm}$ using a scale of least count $1 \mathrm{mm}$. Maximum permissible error in resistivity measurement is: