Two solid spheres A and B of equal volumes but of different densities `d_A and d_B` are connected by a string. They are fully immersed in a fluid of density `d_F`. They get arranged into an equilibrium state as shown in the figure with a tension in the string. The arrangement is possible only if
A
`d_A lt d_F`
B
`d_B gt d_F`
C
`d_Agtd_F`
D
`d_A+d_B = 2d_F`
Text Solution
Verified by Experts
The correct Answer is:
A, B, D
(a,b,c) Let V be the volume of shperes. For equilibrium of A: `T + vd_Ag = VD_fg` `:. T = V_g (d_f- d_A)…..(1)` `for T gt0, d_f gt d_A or d_Altd_f` (a) is the correct option For equilibrium of B: `T + Vd_fg = Vd_Bg` `:. T = V_g(d_B - d_f) ...(2)` `For Tgt 0, d_Bgt d_f` (b) is the correct option From (1) & (2) Vg `(d_f - d_A) = Vg(d_B - d_f)` `:. d_f - d_A = d_B - d_f` `:. 2d_f = d_A + d_B` (d) is the correct option.
Topper's Solved these Questions
ROTATIONAL MOTION
SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQs with one correct answer|1 Videos
MOTION
SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|63 Videos
SIMPLE HARMONIC MOTION
SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|69 Videos
Similar Questions
Explore conceptually related problems
Two spheres of volume 250 cc each but of relative densities 0.8 an d 1.2 are connected by a string and the combination is immersed in a liquid. Find the tension I the string. (g=10m//s^(2))
Two solid sphere ( A and B ) are made of metals of different densities rho_A and rho_B respectively. If their masses are equal, the ratio of their moments of inertia (I_A/I_B) about their respective diameter is
Three equal weight A,B and C of mass 2kg each are hanging on a string passing over a fixed frictionless pulley as shown in the figure. The tension in the string connecting weights B and C is approximately
If a body of volume V is immersed in a liquid of density d and g is acceleration due to gravity, then upthrust F_B = ______.
In the arrangement of resistances shown in figure. Find the value of unknown resistance X if the potential difference between B and D is zero.
In the pulley system shown in figure the movable pulleys A, B and C are of 1 kg each D and E are fixed pulleys. The strings are light and inextensible find the accelerations of the pulleys and tension in the string.
The number of different triangles formed by joining the points A,B,C,D,E,F and G as shown in the figure given below is
In the arrangement as shown, A and B arc two cylinders each of length L and density d_1 and d_(2)(d_(1)ltd_(2)) respectively. They are joined together and submerged in the liquid of density d with length L//2 of A outside the liquid. If the difference in densities of two cylinders is equal to density of the liquid, find d_(1) .
Two particle of masses 10 kg and 35 kg are connected with four strings at points B and D as shown in fig. Determine the tension in various segments of the string.
SUNIL BATRA (41 YEARS IITJEE PHYSICS)-ROTATIONAL MOTION-MCQs with one correct answer
