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at a place value of g is less by 1%than its value on the surface of the earth radius of earth=6400km. the place is

at a place value of g is less by 1%than its value on the surface of the earth radius of earth=6400km. the place is 

Grade:9

1 Answers

Vikas TU
14149 Points
one year ago
Now as the change is so less , i.e 1% we will use a special formula for finding out the height .
Formula :
ga = g(1-2h/R)
This formula is used for small values , That is we use this formula when  h
Now , according to the question, value of g is less by 1% than that of surface of earth So the  our new g that is ( g’ ) will be  = 0.99g
0.99g = g(1-2h/6400)
By solving above equation, ( g ) will be canceled out then only , h will be left so it will be linear equation in 1 variable and After solving it , the value of ( h ) → 32 Km

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