Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The change in the value of acceleration of earth towards sun, when the moon comes from the position of solar eclipse to the position on the other side of earth in line with sun is :

The change in the value of acceleration of earth towards sun, when the moon comes from the position of solar eclipse to the position on the other side of earth in line with sun is :

(mass of the moon =7.36\times 10^{22}kg, radius of the moon's orbit =3.8\times 10^{8}kg

Option: 1

6.73\times10^{-5}\frac{m}{s^{2}}


Option: 2

6.73\times10^{-3}\frac{m}{s^{2}}


Option: 3

6.73\times10^{-2}\frac{m}{s^{2}}


Option: 4

6.73\times10^{-4}\frac{m}{s^{2}}


Answers (1)

best_answer

 

Let  be the gravitational force between earth and sun and  be the gravitational force between earth and moon.

Also, the acceleration of earth during solar and lunar eclipse can be derived from Newton’s second law, i.e.,
F=m \cdot a \rightarrow(1)

During solar eclipse, eqn (1) will be  

m \cdot a_{s}=F_{s}+F_{L} \rightarrow(2)

During lunar eclipse, eqn (1) will be  

m \cdot a_{L}=F_{s}-F_{L} \rightarrow(3)

So,

\begin{aligned} &m\left(a_{s}-a_{L}\right)=F_{s}+F_{L}-F_{s}+F_{L}\\ &\therefore m\left(a_{s}-a_{L}\right)=2 F_{L} \rightarrow(4) \end{aligned}

\left(a_{s}-a_{L}\right)=2 G \frac{M_{L}}{D^{2}} \rightarrow(5)

\begin{array}{l} \left(a_{s}-a_{L}\right)=2 \times 6.67 \times 10^{-11} \times \frac{7.36 \times 10^{22}}{\left(3.8 \times 10^{8}\right)^{2}} \\ \left(a_{s}-a_{L}\right)=6.799 \times 10^{-11+22-16} \\ \left(a_{s}-a_{L}\right)=6.799 \times 10^{-5} m / s ^{2} \end{array}

Posted by

Ajit Kumar Dubey

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

BSEB Super 50 coaching application reopens tomorrow for JEE, NEET aspirants
anam-khan

Telangana to offer free JEE, NEET, CLAT coaching to government school students
anam-khan

BTech 2025 Admission LIVE: JoSAA revised schedule out on josaa.nic.in; updates on MHT CET, KEAM counselling

Latest Question