PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

Book Free Demo
At what height from the centre of the Earth the acceleration due to gravity will be th of its \({\frac{1}{4}}^{th}\) value as at the Earth.
 
We know that,
Answer variants:
G
R
M
E
Acceleration due to gravity \(g\) \(=\)
\(\times\)
 / (
\(^2\))
Where, 
\(G\) \(=\)
 
\(M\) \(=\)
 
\(R\) \(=\)
  
Let us assume,
  
Height from the centre of the Earth (\(R'\)) \(=\) \(R + h\)
 
The acceleration due to gravity at that height (\(g'\)) \(=\) \(\frac{g}{4}\)
 
Mass of the earth \(=\)
 
By substituting we get,
 
\(\frac{g}{g'}=\)
 
After simplification,
 
From the centre of the Earth, the object is placed at