What are significant figures?

Important Questions on Units and Measurements

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Physics>Mechanics>Units and Measurements>Significant Figures

The area of a rectangular field (in ${\mathrm{m}}^2$) of length $55.3 \mathrm{m}$ and breadth $25 \mathrm{m}$ after rounding off the value for correct significant digits is:

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Physics>Mechanics>Units and Measurements>Significant Figures

Order of magnitude of a physical quantity is the

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Physics>Mechanics>Units and Measurements>Significant Figures

The number of significant figures in $0.07800$ is

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Physics>Mechanics>Units and Measurements>Significant Figures

If $N_A,N_B$ and $N_C$ are the number of significant figures in $A=0.001204 \mathrm{m}, B=43120000 \mathrm{m}$,  and $C=1.200 \mathrm{m}$ respectively then

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Physics>Mechanics>Units and Measurements>Significant Figures

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

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Physics>Mechanics>Units and Measurements>Significant Figures

The final result of the sum of the numbers $523.32,1.21524$ and $107.3$ rounded to correct significant figures is

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Physics>Mechanics>Units and Measurements>Significant Figures

The distance of a circle is $2.486 \mathrm{m}$. Its area with due regard to signifiant figures is (Given $\pi =3.142$)

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Physics>Mechanics>Units and Measurements>Significant Figures

A body accelerates from rest with a uniform acceleration $a$ for a time $t.$ The uncertainty in '$a$' is $8\%$ and the uncertainty in '$t$' is $4\%.$ The uncertainty in the speed is

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Physics>Mechanics>Units and Measurements>Significant Figures

Taking into account of the significant figures, what is the value of $9.99 \mathrm{m}–0.0099 \mathrm{m}$?

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Physics>Mechanics>Units and Measurements>Significant Figures

The length and diameter of a cylinder are measured to be $10.1031 \mathrm{cm}$ and $2.0935 \mathrm{cm}$ respectively. The volume of the cylinder to an appropriate significant figures is

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Physics>Mechanics>Units and Measurements>Significant Figures

The area of a square is $5.29 \mathrm{c}{\mathrm{m}}^2.$ The area of $7$ such squares taking into account the significant figures is:

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Physics>Mechanics>Units and Measurements>Significant Figures

For the four sets of three measured physical quantities as given below. Which of the following options is correct?
$\left(i\right)$ $A_1=24.36,B_1=0.0724,C_1=256.2$
$\left(ii\right)$ $A_2=24.44,B_2=16.082,C_2=240.2$
$\left(iii\right)$ $A_3=25.2,B_3=19.2812,C_3=236.183$
$\left(iv\right)$ $A_4=25,B_4=236.191,C_4=19.5$

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Physics>Mechanics>Units and Measurements>Significant Figures

In an experiment on a simple pendulum to determine the acceleration due to gravity, the student measures the length of the thread as $63.2 \mathrm{cm}$ and diameter of the pendulum bob as $2.256 \mathrm{cm}.$ The student should take the length of the pendulum to be

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Physics>Mechanics>Units and Measurements>Significant Figures

The length, breadth and thickness of a metal block is given by, $l=9 \mathrm{cm}$, $b=8 \mathrm{c}\mathrm{m}$, $t=2.45 \mathrm{cm}$. The volume of the block is

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Physics>Mechanics>Units and Measurements>Significant Figures

The respective number of significant figures for the numbers 23.023, 0.0003 and $2.1\times {10}^{-3}$ are

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Physics>Mechanics>Units and Measurements>Significant Figures

The radius of the proton is about ${10}^{-15}$m. The radius of the observable universe is ${10}^{26}$m. identify the distance which is half-way between these two extremes on a logarithmic scale.

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Physics>Mechanics>Units and Measurements>Significant Figures

The sides of a rectangle are $6.01 \mathrm{m} \text{and} 12 \mathrm{m}$. Taking the significant figures into account, the area of the rectangle is

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Physics>Mechanics>Units and Measurements>Significant Figures

According to significant figure convention the result obtained by adding 12.11, 18.0 and 1.012 is

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Physics>Mechanics>Units and Measurements>Significant Figures

A body of mass $m=3.513 \mathrm{k}\mathrm{g}$ is moving along the $x-$axis with a speed of $5.00 {\mathrm{m}\mathrm{s}}^{-1}.$ The magnitude of its momentum (according to significant figures) is recorded as

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Physics>Mechanics>Units and Measurements>Significant Figures

The length of a cube is $2.1\times {10}^{-2} \mathrm{m}$. The volume in significant figures will be