Mukesh Kumar Gandhi Solutions for Chapter: Measurements and Experimentation, Exercise 2: ILLUSTRATIVE NUMERICALS

What will be the frequency of oscillation of a simple pendulum in a cabin that is falling freely under acceleration due to gravity?

When a micrometer screw gauge is used to find the thickness of a glass plate, the following observations were taken:
Pitch of the screw $=1 \mathrm{mm}$

Number of divisions on a circular scale $=100$

Reading on the main scale$= 0.3 \mathrm{cm}$

Reading on the circular scale $= {47}^{th}$ $\mathrm{division}$

Thickness of the glass plate in centimeter is 

If the size of bacteria is $1 \mathrm{\mu }$, then the number of bacteria that can be found in $1 \mathrm{m}$ length is ${10}^k$. The value of $k$ is _____.

The radius of a hydrogen atom is about $0.5 \stackrel{\circ }{\mathrm{A}}$. Its volume in SI units will be $x\times {10}^{-7} {\mathrm{m}}^3$. Give the value of $x$.

The heart beats once in $\frac{4}{5} \mathrm{s}$. The heart beats $t\times {10}^9$ times in the life of a man. If we take the average life of a man $60 \mathrm{years}$, then the value of $t$ is ______.

Choose the correct answer from the given options ($2.365, 2.315, 2.45$).

There are $50$ divisions on the circular scale of a screw gauge. If the head of the screw is given $5$ revolutions, the spindle advances by $5 \mathrm{mm}$. Find its pitch and least count. When a reading is taken, the edge of the circular scale is found to be between $0.3 \mathrm{cm}$ and $0.4 \mathrm{cm}$ and ${25}^{th}$ division of circular scale coincides with the reference line. Find the reading. If the zero error is $+0.004 \mathrm{cm}$, what will be the correct reading?