Assignment

Screw gauge is said to have a negative error

In the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode with a tuning fork is $0.1 \mathrm{m}$. When this length is changed to $0.35 \mathrm{m}$, the same tuning fork resonates with the first overtone. Calculate the end correction.

A student is performing the experiment of resonance column. The diameter of the column tube is $4 \mathrm{cm}$. The frequency of the tuning fork is $512 \mathrm{Hz}$. The air temperature is $38°\mathrm{C}$ in which the speed of sound is $336 \mathrm{m} {\mathrm{s}}^{-1}$. The zero of the meter scale coincides with the top end of the resonance column tube. When the first resonance occurs, the reading of the water level in the column is

A resistance of $2 \mathrm{\Omega }$ is connected across one gap of a metre-bridge (the length of the wire is $100 \mathrm{cm}$) and an unknown resistance, greater than $2 \mathrm{\Omega }$, is connected across the other gap. When these resistances are interchanged, the balance point shifts by $20 \mathrm{cm}$. Neglecting any corrections, the unknown resistance is 

A metre bridge is set up as shown, to determine an unknown resistance $X$ using a standard $10 \mathrm{\Omega }$ resistor. The galvanometer shows null point when the tapping key is at $52 \mathrm{cm}$ mark. The end-corrections are $1 \mathrm{cm}$ and $2 \mathrm{cm}$ respectively for the ends $\mathrm{A}$ and $\mathrm{B}$. The determined value of $X$ is 

$10$rotations of the cap of a screw gauge is equivalent to $5 \mathrm{mm}$. The cap has $100$ divisions. A reading taken for the diameter of wire with the screw gauge show $4$ complete rotations and $35$divisions on the circular scale. The diameter of the wire, is $n \times {10}^{-4} \mathrm{m}$. Value of $n$, is

The side of a cube is measured by vernier calipers. The main scale reads $10 \mathrm{mm}$ and first division of vernier scale coincides with the main scale. The mass of the cube is$2.736 \mathrm{g}$. Find the density (in $\mathrm{g}/\mathrm{cc}$) of the cube in appropriate significant figures. $(9 \mathrm{MSD}=10 \mathrm{VSD})$

A vernier calipers has $1 \mathrm{mm}$ marks on the main scale. It has $20$ equal divisions on the vernier scale which match with $18$ main scale divisions. The least count for this vernier calipers (in $\mathrm{mm}$), is