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 :

                                               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 |
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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 and 0.11 s

4.  5 and 0.22 s

Subtopic:  Measurement & Measuring Devices |
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The temperatures of two bodies measured by a thermometer are

t1 = 20 oC ± 0.5 oC and t2 = 50 oC ± 0.5 oC.

The temperature difference with permissible error is:

1.  31 oC ± 0.5 oC 

2.  30 oC ± 1.0 oC 

3.  30 oC ± 0.0oC 

4.  30 oC ± 1.5 oC 

Subtopic:  Errors |
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The resistance R = VI where V = (100 ± 5)V and = (10 ± 0.2)A. The percentage error in R is:

1.  5%

2.  2%

3.  7%

4.  3%

Subtopic:  Errors |
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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

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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 |
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The relative error in Z, if Z = A4B1/3CD3/2 is: 

1.  AA+BB +CC+DD

2.  4AA+13BB -CC-32DD

3.  4AA+13BB +CC+23DD

4.  4AA+13BB +CC+32DD

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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%

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Each side of a cube is measured to be 7.203 m. What are the total surface area and the volume respectively of the cube to appropriate significant figures?

1.  373.7 m3 and 311.3 m2

2. 311.3 m2 and 373.7 m3 

3.  311.2992 m2 and 373.7147 m3

4.  373.7147 m3 and  311.2992 m2

Subtopic:  Significant Figures |
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