Rounding Off

Q. A wire has a mass$(0.3\pm 0.003)g$, radius $(0.5\pm 0.005)mm$ and length $(6\pm 0.06)cm$. The maximum percentage error in the measurement of its density is

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

Q.

If there is 2% error in measuring the radius of the sphere, then __________will be the percentage error in the surface area.

1. $3\%$

2. $1\%$

3. $4\%$

4. $2\%$

Q.

The moon takes about 27.3 days to revolve round the earth in a nearly circular orbit of radius $3.84\times {10}^5$ km. Calculate the mass of the earth from these data.

Q.

Find the surface area of a sphere of radius $14\mathrm{cm}$

Q.

A current of $(2.5\pm 0.05)$ A flows through a wire and develops a potential difference of $(10\pm 0.1)$ volt. Resistance of the wire in ohm, is

1. $4\pm 0.12$

2. $4\pm 0.4$

3. $4\pm 0.08$

4. $4\pm 0.02$

Q. A cube has a side of length $1.2\times {10}^{-2}m$. Its volume upto correct significant figures is:

1. $1.7\times {10}^{-6}{m}^3$
2. $1.73\times {10}^{-6}{m}^3$
3. $1.70\times {10}^{-6}{m}^3$
4. $1.732\times {10}^{-6}{m}^3$

Q.

Find the volume of a cube of side $0.01cm$.

1. $0.000001c{m}^3$

2. $0.0001c{m}^3$

3. $0.01c{m}^3$

4. $1cm$

Q.

Multiply $0.215$ by $4.4$

Q.

Find the number of significant figures in each of the following: $0.0035$

Q. Taking into account of the significant figures, what is the value of $9.99\text{m}-0.0099\text{m}$ ?

1. $9.980\text{m}$
2. $9.9\text{m}$
3. $9.9801\text{m}$
4. $9.98\text{m}$

Q.

How do you write $12$ million in scientific notation?

Q. In the density measurement of a cube, the mass and edge length are measured as $10.00\pm 0.10\text{kg}\text{and}(0.10\pm 0.01)\text{m}$, respectively. The error in the measurement of density is

Q.

A cube has a side of length $1.2x{10}^{-2}m$. Calculate its volume.

1. $1.7x{10}^{-6}{m}^3$

2. $1.73x{10}^{-6}{m}^3$

3. $1.70x{10}^{-6}{m}^3$

4. $1.728x{10}^{-6}{m}^3$

Q. Two resistances $r_1=(5.0\pm 0.2)\Omega$ and $r_2=(10.0\pm 0.1)\Omega$ are connected in parallel. Find the value of equivalent resistance with limits of percentage error.

1. $r_p=4\Omega \pm$7%
2. $r_p=3.3\Omega \pm$3.5%
3. $r_p=3.3\Omega \pm$7%
4. $r_p=3.3\Omega \pm$14%

Q. Subtract $2.5\times {10}^4$ from $3.9\times {10}^5$ and give the answer to correct number of significant figures.

1. $3.6\times {10}^6$
2. $3.6\times {10}^5$
3. $36\times {10}^5$
4. $36\times {10}^6$

Q. A student measures the time period of $100$ oscillations of a simple pendulum four times. The data set is $90s,91s,95s$ and $92s$. If the minimum division in the measuring clock is $1s$, then the reported mean time should be:

1. $92\pm 2s$
2. $92\pm 5.0s$
3. $92\pm 1.8s$
4. $92\pm 3s$

Q. Round off to $3$ significant figures,

1. $21.0,312\times {10}^{-4}$
2. $21.0,3.12\times {10}^{-4}$
3. $2.10,3.12\times {10}^{-2}$
4. $210,3.12\times {10}^{-4}$

Q. Round off 2.0082 to four significant figures.

1. 2.008
2. 2.009
3. 2.0082
4. 2

Q. A wire has a mass (0.3 $\pm$ 0.003)g, radius (0.5 $\pm$ 0.005)mm and length (6 $\pm$ 0.06)cm. The maximum percentage error in the measurement of its density is -

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

Q. When $24.25\times {10}^3$ is rounded off to three significant figures, it becomes :

1. $24.2\times {10}^3$
2. $244\times {10}^2$
3. 243
4. 242

Q. A cube has a side of length 1.2 x ${10}^{-2}$. Its volume upto correct significant figures is

1. 1.7 x ${10}^{-6}{m}^3$
2. 1.73 x ${10}^{-6}{m}^3$
3. 1.732 x ${10}^{-6}{m}^3$
4. 1.78 x ${10}^{-6}{m}^3$

Q.

What is the volume of the cube?

1. $8{\mathrm{ft}}^3$

2. $16{\mathrm{ft}}^3$

3. $24{\mathrm{ft}}^3$

4. $32{\mathrm{ft}}^3$

Q. A rectangular block is heated from $0^0$C to ${1000}^0$C. The percentage increase in its length is 0.2%. What is the percentage increase in its volume?

1. 0.6%
2. 0.10%
3. 0.2%
4. 0.4%

Q. Two numbers are given as i) 20.96 and ii) 0.0003125. Rounding off above numbers to 3 significant figures will lead to :

1. i) 21.0, ii) 312
2. i) 21.0, ii) 3.12 $\times {10}^{-4}$
3. i) 2.10, ii) 3.12 $\times {10}^{-4}$
4. i) 210, ii) 3.12 $\times {10}^{-4}$

Q. The equivalent resistance between point $\text{A}$ and $\text{B}$ is-

1. $2(\sqrt{3}+2)\Omega$
2. $2(1+\sqrt{3})\Omega$
3. $3(\sqrt{3}+2)\Omega$
4. $3(1+\sqrt{3})\Omega$

Q.

The sim of the numbers 436.32, 227.2, and 0.301 in appropriate significiant figures is :

a)663.821 b)664 c)663.8 d)663.82

Q.

The Respective Number Of Significant Figures For The Numbers $23.023,0.0003$And $2.1\times {10}^{-3}$ Are ________

Q. The sum of the numbers $436.32$, $227.244$ and $0.301$ in appropriate significant figures is:

1. $663.821$
2. $663.8$
3. $663.82$
4. $664$

Q.

Write the greatest number of $8$-digits and $7$ digits. Find their sum.

Q.

A student measures the time period of 100 oscillations of a simple pendulum four times. The data set is 90s, 91s, 95s and 92 s. If the minimum division in the measuring clock is 1 s, then the reported mean time should be:

1. 

2. 

3. 

4.