Units and Measurements Test

Result

Units and Measurements Test - 73

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Weekly Quiz Competition

Question 1
4 / -1

The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed?

A
11%

B
8%

C
5%

D
1%

Solution
Question 2
4 / -1

The random error in the arithmetic mean of 100 observation is x; then random error in the arithmetic mean of 400 observation would be

A
4x

B
1/4 x

C
2x

D
1/2 x
Question 3
4 / -1

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

A
One minute

B
Half minute

C
One degree

D
Half degree

Solution
Question 4
4 / -1

Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further it is found that the screw gauge has zero error of –0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is

A
3.73 mm

B
3.67 mm

C
3.38 mm

D
3.32 mm

Solution
Question 5
4 / -1

Te mean time period of second\'s pendulum is 2.00 s and mean absolute error in the time period is 0.05 s. To express maximum estimate of error, the time period should be written as

A
(2.00 ± 0.01)s

B
(2.00 + 0.025)s

C
(2.00 ± 0.05)s

D
(2.00 ± 0.10)s

Solution
Question 6
4 / -1

A body travels uniformly a distance of (13.8 ± 0.2) m in a time (4.0 ± 0.3) s. The velocity of the body within error limits is

A
(3.45 ± 0.2) ms^–1

B
(3.45 ± 0.3) ms^–1

C
(3.45 ± 0.4) ms^–1

D
(3.45 ± 0.5) ms^–1

Solution
Question 7
4 / -1

The percentage error in the above problem is

A
7%

B
5.95%

C
8.95%

D
9.85%
Question 8
4 / -1

The unit of percentage error is

A
Same as that of physical quantity

B
Different from that of physical quantity

C
Percentage error is unit less

D
Errors have got their own units which are different from that of physical quantity measured

Solution
Question 9
4 / -1

A
a

B
b

C
c

D
d
Question 10
4 / -1

A thin copper wire of length l metre increases in length by 2% when heated through 10^oC. What is the percentage increases in area when a square copper sheet off length l metre is heated through 10^oC?

A
45

B
8%

C
16%

D
None of these

Solution