Many planets are revolving around the fixed sun, in circular orbits of different radius (R) and different time period (T). To estimate the mass of the sun, the orbital radius (R) and time period (T) of planets were noted. Then log 10 T v/s log 10 R curve was plotted.
The curve was found to be approximately straight line (as shown in figure) having y intercept = 6.0 (Neglect the gravitational interaction among the planets [Take G = 
in MKS, π 2 = 10]
(i) The slope of the line should be:
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) T 2 = 
R = 
T 2 / 3
log R = 
log T + 
log 
y = mx + c
(3) Slope < = m = 
Intercept c = 
log 
= 6
(ii) M = 6 × 10 29 Kg
(iii) T 2 ∝ R 3
= 
= 
= 
⇒ 
= 
ω rel = 8 ω 0 – ω 0 = 7 ω 0
θ rel = ( ω rel ) t
2п = (T ω 0 ) t
t = 
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