The height ' h ' from the surface of the earth at which the value of ' g ' will be reduced by 64 % than the value at surface of the earth is ( R = radius of the earth)

Step-by-step solution

Since, g= G M R^2 g _ h = GM ( R + h )^2 When value of g is reduced by 64 % , g _ h =36 % of g array ll & g_h g = R^2 (R+h)^2 = 36 100 & R (R+h) = 6 10 & 4 R=6 h & h= 4 6 R= 2 3 R array