MHT CET20244 May 2024Morning ShiftPhysicsMechanical Properties of FluidsActual
Water rises up to height ' X ' in a capillary tube immersed vertically in water. When the whole arrangement is taken to a depth ' d ' in a mine, the water level rises up to height ' Y '. If ' R ' is the radius of earth then the ratio Y X is
Options
- A(1- d R )⁻¹
- B(1- d R )
- C(1+ d R )⁻¹
- D(1+ d R )
Correct answer
A. (1- d R )⁻¹
Step-by-step solution
Rise in capillary tube is given as, h = 2 ~T rgg As all the other quantities are kept constant, in mine of depth d, h 1 ~g At à depth d , g _ d = g ( 1- d R ) Also, given that, h=x and h_d=y x y = g_d g = (1- d R ) y x = (1- d R )⁻¹