JEE Main20249 Apr 2024Evening ShiftPhysicsMechanical Properties of FluidsActual
A spherical ball of radius 1 10⁻⁴ ~m and density 10^5 ~kg / m ^3 falls freely under gravity through a distance h before entering a tank of water, If after entering in water the velocity of the ball does not change, then the value of h is approximately: (The coefficient of viscosity of water is 9.8 10⁻⁶ ~N ~s / m ^2 )
Options
- A2296 ~m
- B2518 ~m
- C2249 ~m
- D2396 ~m
Correct answer
B. 2518 ~m
Step-by-step solution
aligned & V _ T = 2 ~g 9 R ^2 [ _ B - _ L ] & V _ T = 2 9 10 (10⁻⁴ )^2 9.8 10⁻⁶ [10^5-10^3 ] & V _ T =224.5 aligned when ball fall from height (h) aligned & V = 2 gh & h = ( V ^2 2 ~g )=2518 ~m aligned