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Statement-1 : If there is a soap bubble ...

Statement-1 : If there is a soap bubble in air then excess pressure inside it is `(4T)/(R)`, where T is surface tension of soap and R is the radius of the bubble.
Statement-2 : If there is a water drop in air then excess pressure inside it is `(2T)/(R)`
Statement-3 : If there is an air bubble in water then excess pressure inside it is `(4T)/(R)`

A

T T T

B

T T F

C

T F F

D

T F T

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze each statement regarding the excess pressure inside soap bubbles, water drops, and air bubbles in water. ### Step-by-Step Solution: 1. **Understanding Excess Pressure in Soap Bubbles:** - A soap bubble consists of two surfaces (inner and outer). - The formula for excess pressure inside a soap bubble is given by: \[ \Delta P = \frac{4T}{R} \] - Here, \(T\) is the surface tension of the soap, and \(R\) is the radius of the bubble. - **Conclusion:** Statement 1 is **True**. 2. **Understanding Excess Pressure in Water Drops:** - A water drop in air has only one surface (the outer surface). - The formula for excess pressure inside a water drop is given by: \[ \Delta P = \frac{2T}{R} \] - Here, \(T\) is the surface tension of water, and \(R\) is the radius of the drop. - **Conclusion:** Statement 2 is **True**. 3. **Understanding Excess Pressure in Air Bubbles in Water:** - An air bubble in water also has only one surface (the outer surface of the bubble). - The formula for excess pressure inside an air bubble in water is: \[ \Delta P = \frac{2T}{R} \] - Here, \(T\) is the surface tension of water, and \(R\) is the radius of the bubble. - **Conclusion:** Statement 3 is **False** because it incorrectly states that the excess pressure is \(\frac{4T}{R}\). ### Final Conclusion: - Statement 1 is True. - Statement 2 is True. - Statement 3 is False.
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