A man wishes to estimate the distance of a nearby tower from him. He stands at point A in front of tower C and spots a very distant object O in line with AC. He then walks perpendicular to AC up to B, a distance of 100 m, and looks at O and C again. Since O is very distant, the direction BO is practically the same as AO; but he finds the line of sight of C shifted from the original line of sight by an angle θ = 40° (θ is known as ‘parallax’), the distance of the tower C from his original position A is:

(1) 119 m

(2) 126 m

(3) 320 m

(4) 219 m

Subtopic:  Measurement & Measuring Devices |
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The moon is observed from two diametrically opposite points A and B on Earth. The angle θ subtended at the moon by the two directions of observation is 1° 54. Given the diameter of the Earth to be about 1.276 × 107 m, the distance of the moon from the Earth is:

1 2.91×108 m2 3.11×109 m3 3.84×108 m4 1.91×107 m

Subtopic:  Measurement & Measuring Devices |
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The Sun’s angular diameter is measured to be 1920′′. The distance of the Sun from the Earth is 1.496×1011 m. The diameter of the Sun:

1.  2.39×109 m

2.  0.39×109 m

3.  1.39×109 m

4.  1.39×1010 m

Subtopic:  Measurement & Measuring Devices |
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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

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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 

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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%

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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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