Questions
If the distance between the earth and the sun becomes half its present value, the number of days in a year would have been
detailed solution
Correct option is B
According to Kepler's third Iaw, the ratio of the squares of the periods of any two planets revolving about the sun is equal to the ratio of the cubes of their average distances from the sun, i.e.,T1T22=r1r23=r112r13=8⇒T1T2=22∴T2=T122=365 days 22=129 daysSimilar Questions
In the following four periods
(i) Time of revolution of a satellite just above the earth’s surface
(ii) Period of oscillation of mass inside the tunnel bored along the diameter of the earth
(iii) Period of simple pendulum having a length equal to the earth’s radius in a uniform field of 9.8 N/kg
(iv) Period of an infinite length simple pendulum in the earth’s real gravitational field
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