Momentum and CollisionHard
Question
The radius of a soap bubble is r. The surface tension of soap solution is T. Keeping temperature constant, the radius of the soap bubble is doubled, the energy necessary for this will be : -
Options
A.24 πr2 T
B.8 πr2 T
C.12 πr2 T
D.16 πr2 T
Solution
Initial surface energy
= 2 × T × 4πr2 = 8πr2T
Final surface energy
= 2 × T × 4π(2r)2 = 32πr2T
So energy needed
= 32πr2T = 8πr2T = 24πr2T
= 2 × T × 4πr2 = 8πr2T
Final surface energy
= 2 × T × 4π(2r)2 = 32πr2T
So energy needed
= 32πr2T = 8πr2T = 24πr2T
Create a free account to view solution
View Solution FreeMore Momentum and Collision Questions
A particle moving horizontally collides with a fixed plane inclined at 60o to the horizontal. If it bounces vertically. ...A mass ′m′ moves with a velocity ′V′ and collides inelastically with another indentical mass. Af...To what height h should a cylindrical vessel of diameter d be filled with a liquid so that the total force on the vertic...Three objects A, B and C are kept in a straight line on a smooth horizontal surface as shown in figure. The object A is ...A uniform rope of linear mass density λ and length l is coiled on a smooth horizontal surface. One end pulled up wi...