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If the earth be at one half of its prese...

If the earth be at one half of its present distance from the sun. How many approximate days will be there in a year ? (Present year of the 365 days. Assume orbit to be circular)

A

365 days

B

300 days

C

200 days

D

129 days

Text Solution

Verified by Experts

The correct Answer is:
D
`implies` For earth revolve around the Sun.
`T prop r^(3//2)`
`:. T_2/T_1 = ((r_1)/(r_2))^(3//2) = (1/2)^(3/2) =1/((8)^(1/8))`
`:. T_(2) = T_(1) xx 1/(2.828)`
`:. T_(2) = (365)/(2.828) = 129 . 006`
`:. T_(2) -= 129 ` days
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