At what depth below the surface of the earth the value of g is the same as that?

Text Solution

`d=R/2``d=R/4``d=3/2R``d=3/4R`

Answer : D

Solution :  Given that , `g'` at depth `d =g'` at deight `h =R` <br> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/DCP_V02_C13_S01_010_S01.png" width="80%"> <br> `:. g(1-(d)/(R)) = (g)/(1+(h)/(R))^(2)` <br> substitutiong, `h=R`, We get <br> `d = (3)/(4)R` <br> From the graph We can see that value of g' at depth `d=(3)/(4)R` and height `h = R` are the same.