If the size of a nucleus (in the range of \(10^{-15}\) to \(10^{-14}\) m) is scaled up to the tip of a sharp pin, what roughly is the size of an atom? Assume tip of the pin to be in the range \(10^{-5}\) m to \(10^{-4}\) m.
1. \(1\) m
2. \(10\) m
3. \(10^{-10}\) m
4. \(10^{-5}\) m

Subtopic:  Measurement & Measuring Devices |
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Two clocks are being tested against a standard clock located in a national laboratory. At 12:00:00 noon by the standard clock, the readings of the two clocks are:

Days Clock 1 Clock 2
Monday 12:00:05     10:15:06
Tuesday 12:01:15     10:14:59
Wednesday 11:59:08   10:15:18
Thursday 12:01:50       10:15:07
Friday 11:59:15     10:14:53
Saturday 12:01:30   10:15:24
Sunday 12:01:19   10:15:11


If you are doing an experiment that requires precision time interval measurements, which of the two clocks will you prefer?

1. clock 1
2. clock 2
3. neither clock 1 nor clock 2
4. both clock 1 and clock 2

Subtopic:  Errors |
 54%
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We measure the period of oscillation of a simple pendulum. In successive measurements, the readings turn out to be 2.63 s, 2.56 s, 2.42 s, 2.71 s, and 2.80 s. The average absolute error and percentage error, respectively, are:

1.  0.22 s and 4%

2.  0.11 s and 4%

3.  4 s and 0.11%

4.  5 s and 0.22%

Subtopic:  Measurement & Measuring Devices |
 75%
From NCERT
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The temperatures of two bodies measured by a thermometer are \(t_1=20^\circ \text{C}\pm0.5^\circ \text{C}\) and \(t_2=50^\circ \text{C}\pm0.5^\circ \text{C}.\) The temperature difference with permissible error is:
1. \(31^\circ \text{C}\pm0.5^\circ \text{C}\)
2. \(30^\circ \text{C}\pm1.0^\circ \text{C}\)
3. \(30^\circ \text{C}\pm0.0^\circ \text{C}\)
4. 
\(30^\circ \text{C}\pm1.5^\circ \text{C}\)

Subtopic:  Errors |
 82%
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The resistance \(R=\frac{V}{I}\) where \(V=(100 \pm 5) ~V\) and \(I=(10 \pm 0.2)~ A\). The percentage error in \(R\) is:
1. \(5\%\)
2. \(2\%\)
3. \(7\%\)
4. 
\(3\%\)

Subtopic:  Errors |
 81%
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Two resistors of resistances R1 = 100 ± 3 ohm and R2 = 200 ± 4 ohm are connected in series, the equivalent resistance of the series combination is:

1.  (300 ± 7) ohm

2.  (300 ± 1) ohm

3.  (300 ± 0) ohm

4.  (100 ± 1) ohm

Subtopic:  Errors |
 84%
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Two resistors of resistances R1 = 100 ± 3 ohm and R2 = 200 ± 4 ohm are connected in parallel. The equivalent resistance of the parallel combination is:

1.  (300 ± 7) ohm

2.  (66.7 ± 7) ohm

3.  (66.7 ± 1.8) ohm

4.  (100 ± 1) ohm

Subtopic:  Errors |
 52%
From NCERT
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The relative error in \(Z,\) if \(Z=\frac{A^{4}B^{1/3}}{CD^{3/2}}\) is:
1. \(\frac{\Delta A}{A}+\frac{\Delta B}{B}+\frac{\Delta C}{C}+\frac{\Delta D}{D}\)

2. \(4\frac{\Delta A}{A}+\frac{1}{3}\frac{\Delta B}{B}-\frac{\Delta C}{C}- \frac{3}{2}\frac{\Delta D}{D}\)

3. \(4\frac{\Delta A}{A}+\frac{1}{3}\frac{\Delta B}{B}+\frac{\Delta C}{C}+\frac{2}{3}\frac{\Delta D}{D}\)

4. \(4\frac{\Delta A}{A}+\frac{1}{3}\frac{\Delta B}{B}+\frac{\Delta C}{C}+\frac{3}{2}\frac{\Delta D}{D}\)

Subtopic:  Errors |
 81%
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The period of oscillation of a simple pendulum is T =2πLg. Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1 s resolution. The percentage error in is:

1.  2%

2.  3%

3.  5%

4.  0%

Subtopic:  Errors |
 57%
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Each side of a cube is measured to be \(7.203\) \(\mathrm{m}.\) What are the total surface area and the volume respectively of the cube to appropriate significant figures?

1. \(373.7~\mathrm{m^2}\) and \(311.3~\mathrm{m^3}\)
2. \(311.3~\mathrm{m^2}\) and \(373.7~\mathrm{m^3}\)
3. \(311.2992~\mathrm{m^2}\) and \(373.7147~\mathrm{m^3}\)
4. \(373.7147~\mathrm{m^2}\) and \(311.2992~\mathrm{m^3}\)


 

Subtopic:  Significant Figures |
 78%
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