Finding Significant Figures

Q. State the number of significant figures in the following : (a) 0.007 m² (b) 2.64 × 10²⁴ kg (c) 0.2370 g cm¯³ (d) 6.320 J (e) 6.032 N m¯² (f) 0.0006032 m²

Q.

The mass of the earth is $6.00\times {10}^{24}kg$ and that of the moon is $7.40\times {10}^{22}kg$. The constant of gravitation $G=6.67\times {10}^{-11}N-m^2/k{g}^2$. The potential energy of the system is $-7.79\times {10}^{28}joule$. The mean distance between the earth and moon is

1. 

2. 

3. 

4. 

Q. A ball is dropped from a height. If the maximum percentage errors in measurement of the height and the time are $e_1$ and $e_2$ respectively, then maximum percentage error in the estimation of $g$ is

1. $e_1-2e_2$
2. $e_1+2e_2$
3. $e_1+e_2$
4. $e_2-e_1$

Q.

The order of magnitude of a number expressed in scientific notation is

1. number of decimal places

2. number of digit before decimal

3. all digits in the number

4. power of ten

Q. Pitch of a screw gauge is 1 mm and there are 50 divisions on circular scale. When screw gauge is completely closed ${28}^{th}$ division of circular scale coincides with reference line. When a sheet is placed in it, the linear scale reads 2 divisions and circular scale reads 16 divisions. Zero of linear scale is visible when screw gauge is completely closed. Thickness of the sheet is:

1. 32 mm
2. 2.88 mm
3. 1.76 mm
4. 2.12 mm

Q.

A screw gauge advances by$3mm$ on the main scale in $6$rotations. There are$50$ divisions on a circular scale. Find the least count of screw gauges.

1. $0.01cm$

2. $0.001cm$

3. $0.001mm$

4. $0.02mm$

Q. The diameter and height of a cylinder are measured by a meter scale to be $12.6\pm 0.1\text{cm}\text{and}34.2\pm 0.1\text{cm}$ respectively. What will be the value of its volume in appropriate significant figures ?

Q. How many significant figures are there in $0.310\times {10}^5\text{m}$ ?

1. $5$
2. $2$
3. $3$
4. $4$

Q. Statement 1: Two students measure the length of a stick as $1.3\text{m}$ and $1.30\text{m}$. Both the measurements are equally accurate.
Statement 2: The zero at the end of a measurement is always meaningless.

1. Only statement 1 is correct.
2. Only statement 2 is correct.
3. Both statements are correct.
4. Both statements are incorrect.

Q.

How can you find the thickness of a sheet of paper using a screw gauge?

Q. A force is equal to $85.75\text{dyne}$. If it is expressed in $\text{Newton}$, then the number of significant figures will be

1. $6$
2. $5$
3. $3$
4. $4$

Q.

Illustration: The mass of a box is 2.3 kg. Two marbles of masses 2.15 g and 12.39 g are added to it. Find the total mass of the box to the correct number of significant figures.

1. 2 kg

2. 2.310 kg

3. 2.31 kg

4. 2.3 kg

Q. How many significant figures are there in $0.310\times {10}^5\text{m}$ ?

1. $2$
2. $3$
3. $4$
4. $5$

Q. Three students measure the length of a rod and reports 13.59 m, 0.01359 km and 1359 cm respectively. Then the difference between the maximum and minimum number of significant figures for the given data is

Q.

Find the number of significant figures in the given data

(p) 0.543 (u) 3

(q) 4.330 (v) 4

(r) $1.32\times {10}^{-2}$ (w) 5

(s) 0.002 (x) 1

1. p-u, q-u, r-u, s-u

2. p-u, q-v, r-u, s-x

3. p-v, q-v, r-u, s-u

4. p-v, q-v, r-u, s-v

Q. Statement 1: Two students measure the length of a stick as $1.3\text{m}$ and $1.30\text{m}$. Both the measurements are equally accurate.
Statement 2: The zero at the end of a measurement is always meaningless.

1. Only statement 1 is correct.
2. Only statement 2 is correct.
3. Both statements are correct.
4. Both statements are incorrect.

Q. State the number of significant figures in the following
a. $0.006{\text{m}}^2$
b. $2.65\times {10}^3\text{kg}$
c. $0.2309{\text{m}}^{-3}$
d. $6.320\text{J}$
e. $0.006032{\text{m}}^2$

1. (a) - 1 ; (b) - 3 ; (c) - 4 ; (d) - 4 ; (e) - 6
2. (a) - 1 ; (b) - 3 ; (c) - 4 ; (d) - 3 ; (e) - 4
3. (a) - 1 ; (b) - 3 ; (c) - 4 ; (d) - 4 ; (e) - 4
4. (a) - 1 ; (b) - 3 ; (c) - 4 ; (d) - 3 ; (e) - 6

Q. Which is more precise?

1. 14
2. 14
3. 14
4. All have same precision

Q. Find the number of significant figures in the given data
$\begin{array}{cc}\text{P)}0.543& \text{U)}3\\ \text{Q)}4.330& \text{V) 4}\\ \text{R)}1.32\times {10}^{-2}& \text{W)}5\\ \text{S)}0.002& \text{X)}1\end{array}$

1. p-u, q-u, r-u, s-u

2. p-u, q-u, r-u, s-x

3. p-v, q-v, r-u, s-u

4. p-v, q-v, r-u, s-v

Q. The number of significant figures in $1.217\times {10}^{-4}$ is

1. $1$
2. $2$
3. $3$
4. $4$

Q. Find the number of significant figures in the given data
$\begin{array}{cc}\text{P)}0.543& \text{U)}3\\ \text{Q)}4.330& \text{V) 4}\\ \text{R)}1.32\times {10}^{-2}& \text{W)}5\\ \text{S)}0.002& \text{X)}1\end{array}$

1. p-u, q-u, r-u, s-u

2. p-u, q-u, r-u, s-x

3. p-v, q-v, r-u, s-u

4. p-v, q-v, r-u, s-v

Q.

How many significant figures are there in the product:

$(2.156\times {10}^1)\times (4.567891\times {10}^2)\times (5.1102\times {10}^3)$

1. 3

2. 4

3. 7

4. 10