if the distance between earth and sun increases by 125% of its present value suddenly, then the duration of one year will be -
a. 365 days b. 9/4365 days
c. 27/8365 days d. 25/16*365 days

Question

if the distance between earth and sun increases by 125% of its
present value suddenly, then the duration of one year will be -
a 365 days b 9/4*365 days
c 27/8*365 days d 25/16*365 days

Govind · Accepted Answer

Let R1 be the initial distance between the earth and the sun and R2 be the final distance between the earth and the sun
R2=R1+125100×R1=94R1Let T1 be the duration of year before increasing the distance and T2 be the duration of year after increasing the distance
Now, using kepler's law, we haveT∝R3∴ T2=T1R2R132⇒T2=T194R1R132⇒T2=278T1=278×365Hence, the correct option is c

if the distance between earth and sun increases by 125% of its present value suddenly, then the duration of one year will be - a. 365 days b. 9/4*365 days c. 27/8*365 days d. 25/16*365 days

if the distance between earth and sun increases by 125% of its present value suddenly, then the duration of one year will be -
a. 365 days b. 9/4365 days
c. 27/8365 days d. 25/16*365 days