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Statement I: While blowing a soap bubble...

Statement I: While blowing a soap bubble. to increase the size of soap bubble, we have to increase the air pressure within the soap bubble.
Statement II: To increase the size of soap bubble more air has to be pushed into the bubble.

A

Statement I is true, statement II is true and Statement II is a correct explanation for Statement I.

B

Statement I is true, Statement II is true and Statement II is NOT the correct explanation for Statement I.

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements regarding soap bubbles, let's break down the concepts step by step. ### Step 1: Understanding the Structure of a Soap Bubble A soap bubble consists of a thin film of soap solution that traps air inside. The pressure inside the bubble is different from the atmospheric pressure outside. **Hint:** Remember that a soap bubble has both an inner and outer surface, which affects the pressure dynamics. ### Step 2: Pressure Inside the Soap Bubble The pressure inside a soap bubble is given by the formula: \[ P_{\text{inside}} = P_{\text{atmospheric}} + \frac{4T}{r} \] where \( T \) is the surface tension of the soap solution and \( r \) is the radius of the bubble. As the radius \( r \) increases, the excess pressure \( \frac{4T}{r} \) decreases. **Hint:** Consider how the radius of the bubble affects the pressure; larger bubbles have lower excess pressure. ### Step 3: Evaluating Statement I Statement I claims that to increase the size of the soap bubble, we need to increase the air pressure within the bubble. However, as we increase the size (radius) of the bubble, the pressure inside actually decreases due to the formula mentioned above. Therefore, this statement is **false**. **Hint:** Think about the relationship between bubble size and pressure; larger bubbles have lower internal pressure. ### Step 4: Evaluating Statement II Statement II states that to increase the size of the soap bubble, more air must be pushed into the bubble. This is true because, to increase the size of the bubble, we need to add more air. However, since the pressure inside the bubble is lower than the atmospheric pressure, we need to exert an external force to push air into the bubble. **Hint:** Consider how air flows from high pressure to low pressure; to fill the bubble, we must overcome this natural flow. ### Conclusion - **Statement I** is **false**: Increasing the size of the soap bubble does not require increasing the internal air pressure. - **Statement II** is **true**: To increase the size of the soap bubble, more air must be pushed into it. Thus, the correct answer is that Statement I is false, and Statement II is true. **Final Answer:** Statement I is false, and Statement II is true.

To analyze the statements regarding soap bubbles, let's break down the concepts step by step. ### Step 1: Understanding the Structure of a Soap Bubble A soap bubble consists of a thin film of soap solution that traps air inside. The pressure inside the bubble is different from the atmospheric pressure outside. **Hint:** Remember that a soap bubble has both an inner and outer surface, which affects the pressure dynamics. ### Step 2: Pressure Inside the Soap Bubble ...
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