If T is the surface tension of soap solution, the amount of work done in blowing a soap bubble from a diameter D to a diameter 2D is
A
2πD2T
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4πD2T
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
6πD2T
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
8πD2T
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C6πD2T Work done, W= (increase in surface area) × surface tension W=2×[4π(2D2)2−4π(D2)2]×T
(Since for soap bubble, there are two free surfaces) =2×(4πD2−πD2)T=6πD2T