Experimental Physics XI

In a screw gauge, there are $100$ divisions in circular scale and each main scale division is of $1 \mathrm{mm}$. With no gap between the jaws, ${98}^{\mathrm{th}}$ divisions coincides with the main scale and zero of main scale is not visible. While measuring the diameter of a ball, the circular scale is between $3 \mathrm{mm}$ mark and $4 \mathrm{mm}$ mark. ${76}^{\mathrm{th}}$ division of circular scale coincides with the reference line. Select the correct alternative

In a vernier calipers the main scale and the vernier scale are made up different materials. When the room temperature increases by $\mathrm{\Delta }T°\mathrm{C}$, it is found the reading of the instrument remains the same. Earlier it was observed that the front edge of the wooden rod placed for measurement crossed the $N^{\mathrm{th}}$ main scale division and $N+2 \mathrm{MSD}$  coincided with the $2^{\mathrm{nd}} \mathrm{VSD}$. Initially, $10 \mathrm{VSD}$  coincided with$9 \mathrm{MSD}$. If coefficient of linear expansion of the main scale is ${\alpha }_1$ and that of the vernier scale is ${\alpha }_2$ then what is the value of $\frac{{\alpha }_1}{{\alpha }_2}$ ? (Ignore the expansion of the rod on heating)

What is the reading of micrometer screwgauge shown in figure :-

The vernier of a circular scale is divided into $30$ divisions which coincide against $29$ divisions of main scale. Each main scale division is $0.5°$. The least count of the instrument is 

What is vernier constant

The diameter of a wire is measured with a screw gauze having least count $0.01 \mathrm{mm}$. Which of the following correctly expresses the diameter 

A screw gauge with a pitch of $0.5 \mathrm{mm}$ and a circular scale with $50$ divisions is used to measure the thickness of a thin sheet of Aluminium. Before starting the measurement, it is found that when the two jaws of the screw gauge are brought in contact, the ${45}^{\mathrm{th}}$ division coincides with the main scale line and that the zero of the main scale is just hidden. If the main scale reading is $0.5 \mathrm{mm}$ and the ${25}^{\mathrm{th}}$ division coincides with the main scale line, then the thickness of the sheet is $x \mathrm{mm}$. what is the value of $100x$?

The diameter of a cylinder is measured using a Vernier calipers with no zero error. It is found that the zero of the Vernier scale lies between $5.10 \mathrm{cm}$ and $5.15 \mathrm{cm}$ of the main scale. The Vernier scale has $50$ Divisions which coincide with $49$ Main scale divisions. The ${24}^{\mathrm{th}}$ Division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is $x \mathrm{cm}$. Find the value of $1000x$.

$1 \mathrm{cm}$ of the main scale of vernier calipers is divided into $10 \mathrm{divisions}$. The vernier scale had $n \mathrm{divisions}$, so that least count of the calipers is $0.005 \mathrm{cm}$. The value of $n$ 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:

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 

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 pitch of a screw gauge is $0.5 \mathrm{mm}$ and there are $100$ divisions on its circular scale. The instrument reads $+2$ 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 ${83}^{\mathrm{rd}}$ divisions coincide with the reference line. Then the diameter of the wire is:

When the gap is closed without placing any object in the screw gauge whose least count is $0.005 \mathrm{mm},$ the $5^{\mathrm{th}}$ division on its circular scale coincides with the reference line on the main scale, and when a small sphere is placed, the reading on the main scale advances by $4$ divisions, whereas circular scale reading advances by five times to the corresponding reading when no object was placed. There are $200$ divisions on the circular scale. The radius of the sphere is:

The main scale of a vernier calliper reads in $\mathrm{mm}$ and its vernier scale is divided into $8$ divisions, which coincides with $7$ divisions of the main scale. It was also observed that, when the two jaws are brought in contact, the zero of the vernier scale coincided with the zero of the main scale. The edge length of a cube is measured using this vernier calliper. The main scale reads $12 \mathrm{mm}$ and the $2^{\mathrm{nd}}$ division of the vernier scale coincides with the main scale. The edge length of the cube is $x \mathrm{mm}$. Find the value of $4x$.

Two full turns of the circular scale of a screw gauge cover a distance of $1 \mathrm{mm}$ on its main scale. The total number of divisions on the circular scale is $50$. Further, it is found that the screw gauge has a zero error of $-0.03 \mathrm{mm}$. While measuring the diameter of a thin wire, a student notes the main scale reading of $3 \mathrm{mm}$ and the number of circular scale divisions, in line with the main scale, as $35$. The diameter of the wire is