Units and Measurements Test

Result

Units and Measurements Test - 8

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Weekly Quiz Competition

Question 1
4 / -1

The number of significant figures in the numbers 4.8000×10⁴ and 48000.50 are respectively.

A
5 and 6

B
5 and 7

C
2 and 7

D
2 and 6
Question 2
4 / -1

A spectrometer gives the following reading when used to measure the angle of a prism.
Main scale reading 58.5 degree.
Vernier scale reading 9 division.
Given that, I division on main scale corresponds to 0.5 degree. Total division on the vernier scale is 30 and match with 29 divisions of the main scale. The angle of the prism from the above data is

A
58.59°

B
59.77°

C
58.65°

D
59°

Solution
Question 3
4 / -1

In a slide calliper, ( m +1 ) number of vernier divisions is equal to m number of smallest main scale divisions. If d unit is the magnitude of the smallest main scale division, then the magnitude of the vernier constant is

A
d / ( m + 1 ) unit

B
d / m unit

C
md / ( m + 1 ) unit

D
( m + 1 )d/m unit

Solution
Question 4
4 / -1

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is 0.5 mm and there are 50 divisions on the circular scale. The reading on the main scale is 2.5 mm and that on the circular scale is 20 divisions. If the measured mass of the ball has a relative error of 2%, the relative percentage error in the density is

A
0.9%

B
2.4%

C
3.1%

D
4.2%

Solution
Question 5
4 / -1

A screw gauge gives the following reading when used to measure the diameter of a wire.
Main scale reading : 0 mm
Circular scale reading : 52 divisions
Given that, 1 mm on main scale corresponds to 100 divisions of the circular scale.
The diameter of wire from the above data is

A
0.052 cm

B
0.026 cm

C
0.005 cm

D
0.52 cm

Solution
Question 6
4 / -1

A
M⁰L⁰T⁰

B
M^–1L^–1T^–1

C
M⁰L²T⁰

D
M^–1L¹T²

Solution
Question 7
4 / -1

The respective number of significant figures for the numbers 23.023 , 0.0003 and 2.1×10^-3 are

A
5, 1, 2

B
5, 1, 5

C
5, 5, 2

D
4, 4, 2
Question 8
4 / -1

A student performed the experiment of determination of focal length of a concave mirror by u-v method using an optical bench of length 1.5 m. The focal length of the mirror used is 24 cm. The maximum error in the location of the image can be 0.2 cm. The 5 sets of ( u, v ) values recorded by the student (in cm) are ( 42, 56), (48, 48), (60, 40), (66, 33), (78, 39). The data sets(s) that cannot come from experiment and is (are) incorrectly recorded, is (are)

A
(42, 56)

B
(48, 48)

C
(66, 33)

D
(78, 40)

Solution
Question 9
4 / -1

In an experiment the angles are required to be measured using an instrument. 29 division of the main scale exactly coincide with the 30 division of the vernier scale. If the smallest division of the main scale is half-a-degree ( = 0.5° ), then the least count of the instrument is

A
one minute

B
half minute

C
one degree

D
half degree

Solution
Question 10
4 / -1

If 3.8×10^-6 is added to 4.2×10^-5 giving due regard to significant figures, then the result will be

A
4.58×10^-5

B
4.6×10^-5

C
4.5×10^-5

D
None of these