Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be :Option: 1 <img alt="\sqrt{3}"

The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be :

Option: 1

\sqrt{3}  years


Option: 2

3 years


Option: 3

9 years


Option: 4

3\sqrt{3} years


Answers (1)

best_answer

 From Kepter's law,
\mathrm{T^{2} \propto \gamma^{3} }
\mathrm{T \rightarrow } Time period of revolution

\mathrm{\begin{aligned} \frac{T_{1}^{2}}{T_{2}^{2}}=\frac{\text { t } R^{3}}{(3 R)^{3}}=\frac{1}{27}\\ T_{2}=T_{1}(\sqrt{27}) \\ =3 \sqrt{3} T_{1}\\ T_{1}=1 year\\ \Rightarrow \pi_{2}=\sqrt[3]{3} years \end{aligned} }

The correct option is (4)

Posted by

Suraj Bhandari

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025: 11 from Kota coaching centres among 24 students with 100 percentile
anam-khan

Low JEE Main rank? Explore alternative paths for engineering admission
anam-khan

Gender-gap in JEE Main 2025: Female participation remains around 31%, overall pool drops by 7.09%

Latest Question