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If the distance between earth and sun were reduced to half of its present value , then the number of days in one year would have been

a) 65

b) 129

c) 183

d) 730

Arnab Mandal , 14 Years ago
Grade 11
anser 4 Answers
Ashwin Muralidharan IIT Madras

Hi Arnab,

 

The ratio of the time periods would be {new is say T1, actual is say T2}

 

Note that T is directly proportional to √(R3)

 

T1/T2 = √([R/2]3)/√(R3) = 1/(2√2)

 

Hence T1 = T2/2√2 = 365/2√2

 

Which is approx 129 days.

Option (B)

 

Hope that helps.

 

Best Regards,

Ashwin (IIT Madras).

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Last Activity: 14 Years ago
nikhil manali

no its wrong option as it is approx to 183 days

Last Activity: 14 Years ago
nikhil manali

yup it is wright ans

 

Last Activity: 14 Years ago
Ritik
Yah.. ans is B . It can be solved by kepler`s third law . Which is T^2 proportional to R^3. Where To is period of revolution and R is distance.
Last Activity: 8 Years ago
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