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Find the sum $0.23 + 0.234 + 0.2345$ corrected to three significant figures.

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Important Questions on Significant Figures

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

N_{A}, N_{B}

and

N_{C}

are the number of significant figures in

A = 0.001204 m, B = 43120000 m

, and

C = 1.200 m

respectively then

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

The number of significant figures in

0.07800

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on 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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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

In an experiment, the mass of an object is measured by applying a known force on it, and then measuring its acceleration. If in the experiment, the measured values of applied force and the measured acceleration are

F = (10.0 \pm 0.2) N

and

a = (1.00 \pm 0.01) m s^{- 2},

respectively, the mass of the object is

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

The diameter and height of a cylinder are measured by a meter scale to be

12 .6 \pm 0 .1 cm

and

34 .2 \pm 0 .1 cm

, respectively. What will be the value of its volume in appropriate significant figures?

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

If one takes into account the finite mass of the proton, the correction to the binding energy of the hydrogen atom is approximately (mass of proton

= 1 .60 \times 10^{- 27} kg,

mass of an electron

= 9 .10 \times 10^{- 31} kg

)

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

The area of a rectangular field (in

m^{2}

) of length

55.3 m

and breadth

25 m

after rounding off the value for correct significant digits is:

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

A cylindrical 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

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

Taking into account of the significant figures, what is the value of

9.99 m - 0.0099 m

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

The length and diameter of a cylinder are measured to be

10.1031 cm

and

2.0935 cm

respectively. The volume of the cylinder to an appropriate significant figures is

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

The length and width of a rectangular room are measured to be

(3 .95 \pm 0 .05) m

and

(3 .05 \pm 0 .05) m

, respectively, the area of the floor is

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

The area of a square is

5.29 c m^{2} .

The area of

7

such squares taking into account the significant figures is:

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

A physical quantity $P$ is described by the relation $P = a^{\frac{1}{2}} b^{2} c^{3} d^{- 4}$ . If the relative errors in the measurement of $a$ , $b$ , $c$ and $d$ respectively, are $2 %$ , $1 %$ , $3 %$ and $5 %$ . Then the relative error in $P$ will be:

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

The percentage errors in quantities

P

Q

R

and

S

are

0.5 %

1 %

3 %

and

1.5 %

respectively in the measurement of a physical quantity

A= \frac{P^{3} Q^{2}}{\sqrt{R} S}

. The maximum percentage error in the value of

A

will be:

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

In a simple pendulum experiment for determination of acceleration due to gravity

(g)

, time taken for

20

oscillations is measures by using a watch of

1

second least count. The mean value of time taken comes out to be

30 s

. The length of the pendulum is measured by using a meter scale of least count

1 m m

and the value obtained is

55.0 c m

. The percentage error in the determination of

g

is close to

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

If the error in the measurement of radius of a sphere is

1 %

, the error in the measurement of volume will be

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

The resistance

R = \frac{V}{I}

where,

V = (100 \pm 5) V

and

I = (10 \pm 0.2) A .

The percentage error in

R

is:

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

The distance of a circle is

2.486 m

. Its area with due regard to signifiant figures is (Given

π = 3.142

)

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on Significant Figures

For the four sets of three measured physical quantities as given below. Which of the following options is correct?

(i)

A_{1} = 24.36, B_{1} = 0.0724, C_{1} = 256.2

(i i)

A_{2} = 24.44, B_{2} = 16.082, C_{2} = 240.2

(i i i)

A_{3} = 25.2, B_{3} = 19.2812, C_{3} = 236.183

(i v)

A_{4} = 25, B_{4} = 236.191, C_{4} = 19.5

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Mathematics>Arithmetic>Significant Figures>Algebraic Operations Based on 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 cm

and diameter of the pendulum bob as

2.256 cm .

The student should take the length of the pendulum to be

Find the sum 0.23+0.234+0.2345 corrected to three significant figures.

Important Questions on Significant Figures

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Find the sum $0.23 + 0.234 + 0.2345$ corrected to three significant figures.