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Q.

A satellite revolves in an equatorial plane in west to east direction around the earth with a period of 8 hrs. At an instant it is observed vertically overhead a longitude. How much minimum time after this instant, the satellite will again be overhead the same longitude?

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a

8h

b

12h

c

24h

d

36h

answer is B.

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Detailed Solution

$ω_{1} t - ω_{2} t = 2 π \Rightarrow \frac{2 π}{8} t - \frac{2 π}{24} t = 2 π \Rightarrow t = \frac{8 \times 24}{24 - 8} = 12 h$

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A satellite revolves in an equatorial plane in west to east direction around the earth with a period of 8 hrs. At an instant it is observed vertically overhead a longitude. How much minimum time after this instant, the satellite will again be overhead the same longitude?