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The change in the value of g at a height h above the surface of the earth is the same as at a depth d below the surface of earth. When both d and h are much smaller than the radius of earth, then which one of the following is correct ? 
 [AIEEE 2005]
  • a)
     
  • b)
     
  • c)
     d= 2h
  • d)
     d = h
Correct answer is option 'C'. Can you explain this answer?
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The change in the value of g at a heighthabove the surface of the eart...
At height h g^=g [1-2h/R]
at depth d g^=g [1-d/R]
1-2h/R=1-d/R
d=2h
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Attempt All sub parts from each question.Molecular Perspective In water, there are two types of molecules. Some molecules are at the surface, called exterior molecules, and some molecules are inside, called interior molecules. The interior molecules are attracted to all the molecules around them. The exterior molecules are attracted to only the other surface molecules and to those below the surface. So that the energy state of the molecules on the interior is much lower than that of the molecules on the exterior. The molecules always try to maintain a lower energy state and hence the exterior molecules experience a downward force. This force is known as cohesive force. As a result they try to maintain a minimum surface area, thus allowing more molecules to have a lower energy state. Thus surface tension is created. The water molecules attract one another due to the water molecule’s polar property. The hydrogen ends, which are positive in comparison to the negative ends of the oxygen, cause water to "stick " together. This is why there is surface tension. Water has very high surface tension. It is 72.8 milli newton per meter at 20°C.Q. Which one of the following is the correct molecular structure of water molecule?

Attempt All sub parts from each question.Molecular Perspective In water, there are two types of molecules. Some molecules are at the surface, called exterior molecules, and some molecules are inside, called interior molecules. The interior molecules are attracted to all the molecules around them. The exterior molecules are attracted to only the other surface molecules and to those below the surface. So that the energy state of the molecules on the interior is much lower than that of the molecules on the exterior. The molecules always try to maintain a lower energy state and hence the exterior molecules experience a downward force. This force is known as cohesive force. As a result they try to maintain a minimum surface area, thus allowing more molecules to have a lower energy state. Thus surface tension is created. The water molecules attract one another due to the water molecule’s polar property. The hydrogen ends, which are positive in comparison to the negative ends of the oxygen, cause water to "stick " together. This is why there is surface tension. Water has very high surface tension. It is 72.8 milli newton per meter at 20°C.Q. The tendency of water to maintain .............. surface area is known as surface tension.

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The change in the value of g at a heighthabove the surface of the earth is the same as at a depthdbelow the surface of earth. When bothdandhare much smaller than the radius of earth, then which one of the following is correct ?[AIEEE 2005]a)b)c)d= 2hd)d = hCorrect answer is option 'C'. Can you explain this answer?
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