Question
Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is :
BITSAT
Physics
Mechanical Properties of Fluids
2024
BITSAT 2024 (Memory Based Paper 2)
BITSAT Physics Question (2024) — Solution
Options
- A. 4: 1
- B. 0.8: 1
- C. 8: 1
- D. 2: 1
Answer
C. 8: 1
Step-by-step solution
According to question, pressure inside, 1st soap bubble, P_1=P_1-P_0=0.01= 4 T R_1 .....(i) And P_2=P_2-P_0=0.02= 4 T R_2 .....(ii) Dividing, equation (ii) by (i), 1 2 = R_2 R_1 R_1=2 R_2 Volume V= 4 3 R^3 V_1 V_2 = R_1^3 R_2^3 = 8 R_2^3 R_2^3 = 8 1
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