Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Two point masses 4m and 9m are separeted with distance r. What is the position at which gravitational feild intensity is zero along the line of joining between them.<str

Two point masses 4m and 9m are separeted with distance r. What is the position at which gravitational feild intensity is zero along the line of joining between them.

Option: 1

\frac{3}{5}r from the mass 4m 


Option: 2

\frac{2}{3}r from the mass 4m


Option: 3

\frac{3}{5}r from the mass 9 m


Option: 4

\frac{2}{3}rfrom the mass 9 m 


Answers (1)

best_answer

As we learn

Point of zero intensity -

For point P ,\; \overrightarrow{I_{1}}+I_{2}=0

- \, \frac{Gm_{1}}{x^{2}}\, +\, \frac{Gm_{2}}{\left ( d-x \right )^{2}}=0

- wherein

x= \frac{\sqrt{m_{1}}\: d}{\sqrt{m_{1}}+\sqrt{m_{2}}}

\left ( d-x \right )= \frac{\sqrt{m_{2}}\: d}{\sqrt{m_{1}}+\sqrt{m_{2}}}

 

 

x= \frac{\sqrt{m_{1}}\: r}{\sqrt{m_{1}}+\sqrt{m_{2}}}

x= \frac{\sqrt{4m}\: r}{\sqrt{4m}+\sqrt{9m}}=\frac{2}{5}r \ from \ \ 4m

 

r-x= \frac{\sqrt{m_{2}}}{\sqrt{m_{1}}+\sqrt{m_{2}}}r

= \frac{\sqrt{9m}}{\sqrt{4m}+\sqrt{9m}} r=\frac{3}{5}r \ \ from \ \ 9m

 

Posted by

SANGALDEEP SINGH

View full answer

Similar Questions

Latest Question