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

1. (3.45 ± 0.2) ms-1

2. (3.45 ± 0.3) ms-1

3. (3.45 ± 0.4) ms-1

4. (3.45 ± 0.5) ms-1

Subtopic:  Errors |
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The unit of percentage error is

(1) Same as that of physical quantity

(2) Different from that of physical quantity

(3) Percentage error is unit less

(4) Errors have got their own units which are different from that of physical quantity measured

Subtopic:  Errors |
 75%
From NCERT
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The decimal equivalent of \(\frac{1}{20} \) up to three significant figures is:

1. \(0.0500\) 2. \(0.05000\)
3. \(0.0050\) 4. \(5.0 \times 10^{-2}\)
Subtopic:  Significant Figures |
 69%
From NCERT
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Accuracy of measurement is determined by

(1) Absolute error

(2) Percentage error

(3) Both

(4) None of these

Subtopic:  Errors |
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A thin copper wire of length l metre increases in length by 2% when heated through 10ºC. What is the percentage increase in area when a square copper sheet of length l metre is heated through 10ºC

(1) 4%

(2) 8%

(3) 16%

(4) None of the above

Subtopic:  Errors |
 78%
From NCERT
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A physical parameter a can be determined by measuring the parameters b, c, d and e using the relation a = bαcβ/dγeδ. If the maximum errors in the measurement of b, c, d and e are b1%, c1%, d1% and e1%, then the maximum error in the value of a determined by the experiment is

(1) (b1+c1+d1+e1)%

(2) (b1+c1d1e1)%

(3) (αb1+βc1γd1δe1)%

(4) (αb1+βc1+γd1+δe1)%

Subtopic:  Errors |
 80%
From NCERT
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The resistance R = Vi where V= 100 ± 5 volts and i = 10 ± 0.2 amperes. What is the total error in R

(1) 5%

(2) 7%

(3) 5.2%

(4) 52%

Subtopic:  Errors |
 75%
From NCERT
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The periods of oscillation of a simple pendulum in an experiment are recorded as 2.63 s, 2.56 s, 2.42 s, 2.71 s, and 2.80 s respectively. The average absolute error will be:

1. 0.1 s

2. 0.11 s

3. 0.01 s

4. 1.0 s

Subtopic:  Errors |
 61%
From NCERT
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The length of a cylinder is measured with a meter rod having the least count of 0.1 cm. Its diameter is measured with vernier callipers having the least count of 0.01 cm. Given that the length is 5.0 cm and the radius is 2.0 cm. The percentage error in the calculated value of the volume will be

1. 1%

2. 2%

3. 3%

4. 4%

Subtopic:  Errors |
 62%
From NCERT
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In an experiment, the following observations were recorded: initial length L = 2.820 m, mass M = 3.00 kg, change in length l = 0.087 cm, diameter D = 0.041 cm. Taking g = 9.81 m/s2 and using the formula, Y = 4MgLπD2l, the maximum permissible error in Y will be:

1. 7.96%

2. 4.56%

3. 6.50%

4. 8.42%

Subtopic:  Errors |
From NCERT
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