Hi tick the correct answer. Only one can be correct. 

Asked by jain.pradeep | 31st May, 2019, 01:37: PM

Expert Answer:

Answer (E) II and III only
 
Explanation :-  (I) gravitational force exerted by earth on Sun  is same as gravitational force exerted by sun on earth
 
(II) acceleration of earth due to force exerted by sun is proportional to mass of sun.
Similarly acceleration of sun due to force exerted by earth is proportional to mass of earth.
Since mass of sun is greater than mass of earth, acceleration of earth due to force exerted by sun is greater than
acceleration of sun due to force exerted by earth
 
(III) we have gravitational force that provides centripetal force so that earth orbits around the sun in elliptical path.
 
If m is mass of earth, M is mass of sun, G is gravitation constant, r is radial distance between center of earth and
center of sun and v is the speed of earth in elliptical orbit, then
 
begin mathsize 14px style fraction numerator m space v squared over denominator R end fraction space equals space G fraction numerator m space M over denominator R squared end fraction space space space o r space space space space space space v space equals space square root of fraction numerator G space M over denominator R end fraction end root end style
Hence speed of earth in elliptical orbit varies with distance R

Answered by Thiyagarajan K | 1st Jun, 2019, 10:16: AM

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