Zero Error in Vernier Caliper

Q.

Define All Types Of Errors In Physics.

Q.

The unit cell of copper corresponds to a face centered cube of edge length $3.596\mathrm{\AA }$ with one copper atom at each lattice point. The calculated density of copper in $\mathrm{kg}/{\mathrm{m}}^3$ is

Q.

Least count of a vernier calliper is 0.01 cm. When the two jaws of the instrument touch each other the 5th division of the vernier scale coincides with a main scale division and the zero of the vernier scale lies to the left of the zero of the main scale. Furthermore while measuring the diameter of a sphere, the zero mark of the vernier scale lies between 2.4 cm and 2.5 cm and the 6th Vernier division coincides with a main scale division. Calculate the diameter of the sphere.

1. $2.51cm$

2. $5.12cm$

3. $2.51mm$

4. $5.12mm$

Q.

The least count of a vernier calliper is 0.01 cm and its zero error is – 0.03 cm. While measuring the length of a rod, the main scale reading is 4.6 cm and 8^th division on vernier scale is in line with a marking on the main scale. Calculate the length of the rod.

1. 4.3 cm

2. 4.7 cm

3. 4.6 cm

4. 0.03 cm

Q.

In the laboratory, a student measures the thickness of a metal sheet using a screw gauge as shown in the figure. What is the thickness of the sheet?

1. 7.531 mm

2. 7.31 mm

3. 7.831 mm

4. 7.81 mm

Q. While measuring the zero error of a vernier we see that zero of vernier scale is to the right of the zero marking of the main scale with $6^{th}$ vernier division coinciding with main scale division. If the least count of the vernier is 0.1 mm, then find its zero error.

1. Zero error = 6 cm
2. Zero error = 0.6 mm
3. Zero error = 0.6 cm
4. Zero error = 6 mm

Q. The internal and external diameters of a hollow cylinder are measured with the help of a Vernier callipers. Their values are $4.23\pm 0.01$cm and $3.87\pm 0.01cm$, respectively. The thickness of the wall of the cylinder is

1. $0.36\pm 0.02cm$
2. $0.18\pm 0.02cm$
3. $0.18\pm 0.01cm$
4. $0.36\pm 0.01cm$

Q. The following diagram shows a screw gauge when it is closed. What is its zero error? It is given that the least count is 0.01 mm.

1. -0.98 mm
2. +0.98 mm
3. -0.02 mm
4. +0.02 mm

Q. What is meant by zero error of Vernier Callipers?

Q.

Find the zeroes of the polynomial $p\left(x\right)=2x^2-5x-12$ and verify the relationship between its zeroes and coefficients.

Q. In a vernier callipers, smallest division on the main scale is $1mm$, while the vernier scale have $20$ divisions. When fixed jaw touches with movable jaw, zero of vernier scale lies on the right of the zero of the main scale and $15th$ division of vernier scaled coincides with any division of main scale. What is the type of zero error and its value?

1. Positive, $0.75mm$
2. Negative, $0.75mm$
3. Positive, $0.15mm$
4. Negative, $0.15mm$

Q. Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficient.
$6x^2-3-7x$

Q. The smallest division on the main scale of a vernier calliers is 1 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 2.0 and 2.1 cm and the fifth vernier scale coincide with a scale division. Then diameter of the sphere is

1. 3.05 cm
2. 2.50 cm
3. 2.05 cm
4. None of these

Q.

Use the following information to answer the next question.

The given figure shows the main scale and vernier scale of a vernier caliper.

What are the pitch and least count of the vernier caliper?

1. 0.01 cm and 0.1 cm

2. 0.1 cm and 0.1 cm

3. 0.1 cm and 0.01 cm

4. 0.01 cm and 0.01 cm

Q. A boy uses a vernier calipers to measure the thickness of his pencil. He measures it to be 1.4 mm. If the zero error of vernier calipers is +0.02 cm, what is the correct thickness of pencil?

Q. Find the zero error in figure given

1. 0.3 mm
2. -0.3 mm
3. -0.7 mm
4. 0.7 mm

Q. The principle of vernier callipers can be expressed as _____

Q.

Which of the following is incorrect with respect to a standard vernier caliper?

1. $L.C=\frac{1M.S.D}{N}$

2. $L.C=1M.S.D-1V.S.D$

3. 1M.S.D=1mm

4. $L.C=\frac{1M.S.D}{1V.S.D}$

Q. A varnier calipers having main scale of $10cm$ containing $100$ division, If $n$ be number of division on vernier scale of length $L$ Vernier calipers is designed to have a least count of $0.02cm$, then

Q. Which of the following dimensions will be the same as that of time?
1.L/R 2.C/L 3.LC 4.R/L

Q. N divisions on the main scale of a vernier calliper coincide with (N + 1) divisions of the vernier scale. If each division of main scale is '$a$' units, then the least count of the instrument is.

1. $a$
2. $\frac{a}{N}$
3. $\frac{N}{N+1}$ $\times a$
4. $\frac{a}{N+1}$

Q.

1. 0.005 cm
2. 0.002 cm
3. 0.05 cm
4. 0.01 cm

Q.

Can there be 20 vernier scale divisions if the main scale has 18 divisions?

Q. A vernier has a negative zero error. When the jaws $J_1$ and $J_2$ are brought in contact the zero of the vernier must :

1. Coincide with the zero of the main scale.
2. Be to the right of the zero of the main scale.
3. Be to the left of the zero of the main scale.
4. None of the above.

Q. When is a vernier calipers said to be free from zero error?

Q. The side of a cube is measured by Vernier callipers($10$ divisions of a Vernier scale coincide with $9$ divisions of main scale, where $1$ division of main scale is $1$mm). The main scale reads $10$mm and first division of Vernier scale coincides with the main scale. Mass of the cube is $2.736$g. Find the density of the cube in appropriate significant figures.

1. Density $=3.66g/c{m}^3$.
2. Density $=2.66g/c{m}^3$.
3. Density $=4.66g/c{m}^3$.
4. Density $=6.66g/c{m}^3$.

Q. A vernier has a negative zero error. When the jaws $J_1$ and $J_2$ are brought in contact the zero of the vernier must:

1. coincide with the zero of the mein scale
2. none of the above
3. be to the left of the zero of the main scale
4. be to the right of the zero of the main scale

Q. When the jaws of a standard vernier calipers are closed, if the nth division of the vernier scale coincides with the nth M.S.D., the zero error is ___ .

1. $n^{2}LC$
2. (n+1) LC
3. (n-1) L.C
4. n X L.C

Q. If zeroth division of head scale is below the index line of pitch scale, the correction is said to be

1. +ve
2. uncertain
3. -ve
4. both (a) and (b)

Q. Find the zero error in the figure given.

1. -0.4 mm
2. 0.4 mm
3. 0.6 mm
4. 0.6 m