- Home
- Standard 11
- Physics
7.Gravitation
medium
જો સૂર્ય અને પૃથ્વી વચ્ચેનું અંતર અત્યારના અંતર કરતાં અડધું થાય તો $1$ વર્ષ માં કેટલા દિવસ થાય?
A
$64.5$
B
$129$
C
$182.5$
D
$730$
(IIT-1996)
Solution
(b) According to Kepler's third law, 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.${\left( {\frac{{{T_1}}}{{{T_2}}}} \right)^2} = {\left( {\frac{{{r_1}}}{{{r_2}}}} \right)^3} = {\left[ {\frac{{{r_1}}}{{{\textstyle{1 \over 2}}{r_1}}}} \right]^3} = 8$
$\frac{{{T_1}}}{{{T_2}}} = 2\sqrt 2 $
$\therefore {T_2} = \frac{{{T_1}}}{{2\sqrt 2 }} = \frac{{365\,\,\,days}}{{2\sqrt 2 }} = 129\,\,days$
Standard 11
Physics
