AP EAMCET20225 Jul 2022Morning ShiftPhysicsMechanical Properties of FluidsActual
A hydraulic lift is shown in the figure. The movable pistons A, B and C are of radius 10 ~cm , 100 ~m and 5 ~cm respectively. If a body. of mass 2 ~kg is placed on piston A , the maximum masses that can be lifted by piston B and C are respectively.
Options
- A200 ~kg and 500 ~kg
- B20 ~kg and 50 ~kg
- C200 ~kg and 5000 ~kg
- DNone of the above
Correct answer
D. None of the above
Step-by-step solution
Given, r_A=10 ~cm =0.1 ~m aligned & r_B=100 ~m & r_C=5 ~cm =0.05 ~m aligned weight placed on piston A=m g=2 ~g Using Pascal's law; F_A A_A = F_B A_B = F_C A_C 2 g (0.1)^2 = F_B (100)^2 = F_C (0.05)^2 ...(i) From Eq. (i) we have F_B= 2 g (0.1)^2 (100)^2 1 = 2 10000 g 0.01 =2 10^6 ~g Similarly, F_C= (0.05)^2 1 2 g (0.1)^2 = 0.0025 0.01 2 ~g =0.50 ~g Hence, B can lift mass of 2 10^6 ~kg and C can lift mass of 0.50 ~kg . Therefore, no option is correct.