Using the expression 2 d sin θ = λ , one calculates the values of d by measuring the corresponding angle θ in the range 0 to 90 ° . The wavelength λ is exactly known and the error in θ is constant for all the values of θ . As θ increases from 0 °

The fractional error in d decreases.

The absolute error in d remains constant.

The absolute error in d increases.

The fractional error in d remains constant.

MEDIUM

Earn 100

What is a parallax error? How it can be avoided during the measurement of length?

Important Questions on Motion and Measurement of Distances

MEDIUM

Science>Physics>Motion and Measurement of Distances>Correct Measurement of Length

In an experiment for estimating the value of focal length of converging mirror, image of an object placed at

40 cm

from the pole of the mirror is formed at distance

120 cm

from the pole of the mirror. These distances are measured with a modified scale in which there are

20

small divisions in

1 cm

. The value of error in measurement of focal length of the mirror is

\frac{1}{K} cm

. The value of

K

is ______.

MEDIUM

Science>Physics>Motion and Measurement of Distances>Correct Measurement of Length

The density of a solid metal sphere is diameter. The maximum error in the density of the sphere is

(\frac{x}{100}) % .

If the relative errors in measuring the mass and the diameter are

6.0 %

and

1.5 %

respectively, the value of

x

-

EASY

Science>Physics>Motion and Measurement of Distances>Correct Measurement of Length

The radius of a sphere is measured to be

(7.50 \pm 0.85) cm

. Suppose the percentage error in its volume is

x

. The value of

x

, to the nearest

x

, is ___ .

EASY

Science>Physics>Motion and Measurement of Distances>Correct Measurement of Length

The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:

MEDIUM

Science>Physics>Motion and Measurement of Distances>Correct Measurement of Length

The density of a material, in the shape of a cube, is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are

1.5 %

and

1 %

, respectively, the maximum error in determining the density is:

EASY

Science>Physics>Motion and Measurement of Distances>Correct Measurement of Length

The relative error in the determination of the surface area of a sphere is

α

. The relative error in the determination of its volume is

HARD

Science>Physics>Motion and Measurement of Distances>Correct Measurement of Length

Students

A, B

and

C

measure the length of a room using

25 m

long measuring tape of least count

LC

0.5 cm,

meter-scale of

LC 0.1 cm

and a foot-scale of

LC 0.05 cm,

respectively. If the specified length of the room is

9.5 m,

then which of the following students will report the lowest relative error in the measured length?

(1 foot = 30.48 cm)

EASY

Science>Physics>Motion and Measurement of Distances>Correct Measurement of Length

A student measuring the diameter of a pencil of circular cross-section with the help of a vernier scale records the following four readings

5.50 mm

5.55 mm

5.34 mm

5.65 mm

. The average of these four reading is

5.5375 mm

and the standard deviation of the data is

0.07395 mm

. The average diameter of the pencil should therefore be recorded as :

MEDIUM

Science>Physics>Motion and Measurement of Distances>Correct Measurement of Length

A student measures the time period of

100

oscillations of a simple pendulum four times. The data set is

90 s

91 s

95 s

and

92 s

. If the minimum division in the measuring clock is

1 s

, then the reported mean time should be:

EASY

Science>Physics>Motion and Measurement of Distances>Correct Measurement of Length

A simple pendulum is being used to determine the value of gravitational acceleration

g

at a certain place. The length of the pendulum is

25.0 c m

and a stopwatch with

1 s

resolution measures the time taken for

40

oscillations to be

50 s

. The accuracy in

g

is:

MEDIUM

Science>Physics>Motion and Measurement of Distances>Correct Measurement of Length

Using the expression

2 d \sin θ = λ

, one calculates the values of

d

by measuring the corresponding angle

θ

in the range

0

90 °

. The wavelength

λ

is exactly known and the error in

θ

is constant for all the values of

θ

. As

θ

increases from

0 °

MEDIUM

Science>Physics>Motion and Measurement of Distances>Correct Measurement of Length

Two students $P$ and $Q$ perform an experiment to verify Ohm's law for a conductor with resistance $R$ . They use a current source and a voltmeter with the least counts of $0.1 mA$ and $0.1 mV$ , respectively. The plots of the variation of voltage drop $V$ across $R$ with current $I$ for both are shown below.