Q. No.The angle of 1∘1∘ (degree) will be equal to:
(Use 360∘=2π360∘=2π rad)
1. 1.034×10−31.034×10−3 rad
2. 1.745×10−21.745×10−2 rad
3. 1.524×10−21.524×10−2 rad
4. 1.745×1031.745×103 rad
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=40∘ (θθ is known as ‘parallax’), the distance of the tower C from his original position A is: (Given tan40∘=0.8391tan40∘=0.8391)
1. 119 m
2. 126 m
3. 320 m
4. 219 m
1. 2.91×108 m2.91×108 m
2. 3.11×109 m3.11×109 m
3. 3.84×108 m3.84×108 m
4. 1.91×107 m1.91×107 m
The Sun’s angular diameter is measured to be 1920′′. The distance D of the Sun from the Earth is 1.496×1011 m.1.496×1011 m. The diameter of the Sun:
1. 2.39×109 m2.39×109 m
2. 0.39×109 m0.39×109 m
3. 1.39×109 m1.39×109 m
4. 1.39×1010 m1.39×1010 m
If the size of a nucleus (in the range of 10−1510−15 to 10−1410−14 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 10−510−5 m to 10−410−4 m.
1. 11 m
2. 1010 m
3. 10−1010−10 m
4. 10−510−5 m
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 |
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,2.63 s,2.56 s,2.42 s,2.71 s, and 2.80 s.2.80 s. The average absolute error and percentage error, respectively, are:
1. 0.22 s0.22 s and 4%4%
2. 0.11 s0.11 s and 4%4%
3. 4 s4 s and 0.11%0.11%
4. 5 s5 s and 0.22%0.22%
The temperatures of two bodies measured by a thermometer are t1=20∘C±0.5∘Ct1=20∘C±0.5∘C and t2=50∘C±0.5∘C.t2=50∘C±0.5∘C. The temperature difference with permissible error is:
1. 31∘C±0.5∘C31∘C±0.5∘C
2. 30∘C±1.0∘C30∘C±1.0∘C
3. 30∘C±0.0∘C30∘C±0.0∘C
4. 30∘C±1.5∘C30∘C±1.5∘C
The resistance R=VIR=VI where V=(100±5) VV=(100±5) V and I=(10±0.2) AI=(10±0.2) A. The percentage error in RR is:
1. 5%5%
2. 2%2%
3. 7%7%
4. 3%3%
Two resistors of resistances R1 = (100 ± 3)R1 = (100 ± 3) ohm and R2 = (200 ± 4)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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