Significant Figures in Sum

Q.

Difference between communication address and permanent address?

Q.

The length of the string of a simple pendulum is measured with a metre scale to be 90.0 cm, The radius of the bob plus the length of the hook is calculated to be 2.13 cm using measurements with a slide callipers.
What is the effective length of the pendulum ? (The effective length is defined as the distance between the point of suspension and the centre of the bob.)

Q. How many astronomical units are there in 1 metre?

Q. A body of mass $m=3.513\text{kg}$ is moving along the $x-$axis with a speed of $5.00{\text{ms}}^{–1}$. The magnitude of its momentum is recorded as
(Consider significant figures)

1. $17.6{\text{kg ms}}^{-1}$
2. $17.565{\text{kg ms}}^{-1}$
3. $17.56{\text{kg ms}}^{-1}$
4. $17.57{\text{kg ms}}^{-1}$

Q.

A bullet of mass of $0.01kg$ is fired from a gun weighing $5.0kg$. If the initial speed of the bullet is $250m{s}^{-1}$, calculate the speed with which the gun recoils.

1. $-0.5m/s$

2. $-0.25m/s$

3. $+0.5m/s$

4. $+0.25m/s$

Q.

Form the greatest and the smallest $3$ digit numbers using any three different digits with the condition that digit $6$ is always at the unit place.

Q. If the length of the pendulum in a pendulum clock increases by $0.1$%, then the error in time per day is :

1. $86.4\text{s}$
2. $43.2\text{s}$
3. $8.64\text{s}$
4. $4.32\text{s}$

Q.

A metre scale is graduated at every millimetre. How many significant digits will be there in a limo measurement with this scale ?

Q. In a simple pendulum experiment for determination of acceleration due to gravity $\left(g\right)$, time taken for $20$ oscillations is measured by using a watch of $1$ second least count. The mean value of time taken comes out to be $30\text{sec}$. The length of pendulum is measured by using a meter scale of least count $1\text{mm}$ and the value obtained is $55.0\text{cm}$. The percentage error in the determination of $g$ is close to,

1. $0.2\%$
2. $3.5\%$
3. $6.8\%$
4. $0.7\%$

Q.

A meter scale is graduated in

1. m and cm

2. m and mm

3. cm and mm

4. km and m

Q. The mass of a box is $2.3\text{kg}$. Two marbles of mass equal to $2.15\text{kg}$ and $2.48\text{kg}$ are kept in it. The total mass of the box with correct significant figures is

1. $6.93\text{kg}$
2. $6.8\text{kg}$
3. $7\text{kg}$
4. $6.9\text{kg}$

Q. The number of significant figures in 0.00600 are

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

Q.

Four identical planks each of length a are arranged one above the other over a table as shown. Each projects a distance beyond the edge of the one that is below it. Maximum value for L so that no block topples is

1. 

2. 

3. 

4. 

Q.

Show that if the room temperature changes by a small amount from T to $T+\Delta T$, the fundamental frequency of an organ pipe changes from v to $v+\Delta v$, where $\frac{\Delta v}{v}=\frac{1}{2}\frac{\Delta T}{T}.$

Q. Side of an equilateral triangle is measured as $3.6\pm .06$ cm, find percentage error in area of triangle

1. 4.2 %
2. 2.8 %
3. 1.7 %
4. 3.4 %

Q. If the length of a simple pendulum is recorded as $(90.0\pm 0.02)\text{cm}$ and period as $(1.9\pm 0.02)\text{s}$, the percentage of error in the measurement of acceleration due to gravity is

1. $4.2\%$
2. $2.1\%$
3. $1.5\%$
4. $2.8\%$

Q.

The mass of a box measured by a grocer’s balance is 2.300 kg. Two gold pieces of masses 20.15 g and 20.17 g are added to the box. What is (a) the total mass of the box, (b) the difference in the masses of the pieces to correct significant figures?

Q. How many significant number are there in 0.0023040 ?

Q. Find center of mass of thin, uniform semicircular wirs of radius $R$

1. $\frac{R}{\pi }$
2. $\frac{3R}{\pi }$
3. $\frac{2R}{\pi }$
4. $\frac{3R}{2\pi }$

Q. The sum of $436.32,227.2$ and $0.301$ in appropriate significant figures is

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

Q. The mass of a box is $2.3\text{kg}$. Two marbles of mass equal to $2.15\text{kg}$ and $2.48\text{kg}$ are kept in it. The total mass of the box with correct significant figures is

1. $6.93\text{kg}$
2. $6.8\text{kg}$
3. $7\text{kg}$
4. $6.9\text{kg}$

Q. A body travels uniformly a distance of $(13.8+0.2)$ m in a time $(4.0+0.3)s$. Find the velocity of the body within error limits and the percentage error?

Q. The length and breadth of a rectangular sheet are $16.2$ cm and $10.1cm$, respectively. The area of the sheet inappropriate significant figures and error is:

1. $163.62\pm 3c{m}^2$
2. $163.6\pm 2.6c{m}^2$
3. $163.62\pm 2.6c{m}^2$
4. $164\pm 3c{m}^2$

Q. The number of significant figures in 500.06 is _________.

Q. Subtract $3.2\times {10}^{-6}$ from $4.7\times {10}^{-4}$ with due regard to significant figures.

1. $4.7\times {10}^{-4}$
2. $7\times {10}^{-4}$
3. $5.7\times {10}^{-4}$
4. $4.7\times {10}^{-5}$

Q. The least count of a stop-watch is $\left(1/5\right)s$. The time of $20$ oscillations of a pendulum is measured to be $25s$. What is the maximum percentage error in this measurement ?

1. $8\%$
2. $4\%$
3. $16\%$
4. $1\%$

Q. Which of the following numbers has least number of significant figures?

1. $0.80760$
2. $0.08076$
3. $80.267$
4. $0.80200$

Q.

How do you define the significant figure of a measurement?

Q. A body of mass 20.00 g has volume $5.0c{m}^3$. The maximum possible error in the measurement of mass and volume respectively are 0.01 g and$0.1c{m}^3$. The maximum percentage error in the density will be nearest to

1. 1%
2. 2%
3. 25%
4. 11%

Q.

Convert 150 kg mass into quintal?