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The decrease inthe value of g on going to a height R/2 above the earth's  surface will be
(a)g/2            (b)5g/9
(c)4g/9           (d)g/3

Asked by निकोदिमुस 4th December 2017, 6:57 PM
Answered by Expert
Answer:
The decrease in the value of g on going to a height R/2 above the earth's  surface will be
(a)g/2            (b)5g/9
(c)4g/9           (d)g/3
 
 
 
g equals fraction numerator G M over denominator R squared end fraction


g space a t space h i e g h t space h

g subscript h equals fraction numerator G M over denominator left parenthesis R plus h right parenthesis squared end fraction space space space space space space left parenthesis space h equals R divided by 2 space right parenthesis

g subscript h equals fraction numerator G M over denominator left parenthesis R plus begin display style R over 2 end style right parenthesis squared end fraction space equals fraction numerator 4 G M over denominator 9 R squared end fraction equals fraction numerator 4 g over denominator 9 end fraction
 
 
space d e c r e a s e space i n space v a l u e space o f space g
equals g minus 4 g over 9 equals fraction numerator 5 g over denominator 9 end fraction
Answered by Expert 6th December 2017, 12:26 PM
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