Mukesh Kumar Gandhi Solutions for Chapter: Measurements and Experimentation, Exercise 3: Self Evaluation Test

Find the ratio of the lengths of simple pendulum and second's pendulum.

Calculate the dimension of a cube from the given data of readings using a vernier calliper. In the main scale $1 \mathrm{cm}$ is divided into $20$ parts.
Number of divisions on the vernier scale$=25$; Zero error$=-0.016 \mathrm{cm}$
When the cube is held between the jaws, the position of the zero of the vernier callipers is between $2.75 \mathrm{cm}$ and $2.8 \mathrm{cm}$ and the coinciding division of vernier callipers is $9^{\mathrm{th}}$.

A fat boy on a diet lose $2.3 \mathrm{kg}$ per week. Express the mass loss rate in $\mathrm{mg}/\mathrm{s}$ if the fat boy could sense the loss second by second.

$$\begin{gathered} \mathrm{A} : 0.386 \mathrm{mg}/\mathrm{s} \\ \mathrm{B} : 0.0386 \mathrm{mg}/\mathrm{s} \\ \mathrm{C} : 0.386 \mathrm{g}/\mathrm{s} \end{gathered}$$

Enter your correct answer as $\mathrm{A}, \mathrm{B} \mathrm{or} \mathrm{C}$.

A vernier calliper has its main scale graduated in $\mathrm{mm}$ and $10$ divisions on its vernier scale are equal in length to $9 \mathrm{mm}$. When the two jaws are in contact, the zero of vernier scale is ahead of zero of main scale and $4^{th}$ division of vernier scale coincides with the main scale division. Find the least count and the zero error of the vernier callipers.

The thimble of a screw gauge has $50$ divisions. The spindle advances $1 \mathrm{mm}$ when the screw is given two revolutions. What is the pitch of the screw in centimetre?

The thimble of a screw gauge has $50$ divisions. The spindle advances $1 \mathrm{mm}$ when the screw is given two revolutions. What is the least count of the screw gauge? In the measurement of the diameter of a given wire, the main scale reads $3 \mathrm{mm}$ and $36$ mark on circular scale coincides with the baseline. Find the diameter of the given wire.

In a simple pendulum experiment, draw a graph showing the variation of square of time period with length of the simple pendulum. How will you use this graph to determine the acceleration due to gravity?

How can you use the screw gauge for measuring the diameter of an alpin?