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

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Important Questions on Units and Measurements

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Physics>Mechanics>Units and Measurements>Significant Figures

The number of significant figures in

0.07800

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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 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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Physics>Mechanics>Units and Measurements>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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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 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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Physics>Mechanics>Units and Measurements>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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Physics>Mechanics>Units and Measurements>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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Physics>Mechanics>Units and Measurements>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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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 cm

and diameter of the pendulum bob as

2.256 cm .

The student should take the length of the pendulum to be

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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?

(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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Physics>Mechanics>Units and Measurements>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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Physics>Mechanics>Units and Measurements>Significant Figures

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

9.99 m - 0.0099 m

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Physics>Mechanics>Units and Measurements>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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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 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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Physics>Mechanics>Units and Measurements>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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Physics>Mechanics>Units and Measurements>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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Physics>Mechanics>Units and Measurements>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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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

The area of a square is

5.29 c m^{2} .

The area of

7

such squares taking into account the significant figures is:

A cube has side of length 1.2×10-2 m. Its volume upto correct significant figures is

Important Questions on Units and Measurements

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