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  • The distance of the Sun from earth is <img alt="1.5 \times 10^{\mathrm{11}} \mathrm{m}" src="https://entrancecorner.oncodecogs.com/gif.latex?1.5%20%5Ctimes%2010%5E%7B%5Cmathrm%7B11%7D%7D%20%5Cmathr

The distance of the Sun from earth is 1.5 \times 10^{\mathrm{11}} \mathrm{m} and its angular diameter is (2000)s  when observed from the earth. The diameter of the Sun will be :

Option: 1

2.45 \times 10^{10} \mathrm{~m}


Option: 2

1.45 \times 10^{10} \mathrm{~m}


Option: 3

1.45 \times 10^{9} \mathrm{~m}


Option: 4

0.14 \times 10^{9} \mathrm{~m}


Answers (1)

best_answer

1 degree = 60 minute
1 minute = 60 second
1 degree = 3600 second

\mathrm{1 \, second= \frac{1}{3600}\, degree}
                   \mathrm{= \frac{1}{3600}\times\frac{\pi}{180}\, rad.}

\mathrm{2000\, second= \frac{2000}{3600}\times\frac{\pi}{180}= \frac{2\pi}{36\times18}}



\mathrm{\theta=\frac{D}{d}}
\mathrm{diameter=\frac{2\pi}{36\times18}\times 1.5\times10^{11}}
                     \mathrm{= 1.45\times10^{9}m}

Correct ans is (3)

Posted by

Suraj Bhandari

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