Question 443: Properties of Matter

Question

A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1 has a hemispherical soap bubble of radius r. End 2 has sub-hemispherical soap bubble as shown in figure. Just after opening the valve,

Accepted Answer

Given that,
$${r_2} > {r_1}$$
Just inside of soap bubble, the pressure
$${P_1} = {P_0} + {{4T} \over {{r_1}}}$$ ..... (i)
$${P_2} = {P_0} + {{4T} \over {{r_2}}}$$ .... (ii)
Hence, $${r_2} > {r_1}$$ then $${P_1} > {P_2}$$
Therefore, air from end 1 flows towards end 2. Volume of the soap bubble at end 1 decreases.

Answer

air from end 1 flows towards end 2. No change in the volume of the soap bubbles

Answer

air from end 1 flows towards end 2. Volume of the soap bubble at end 1 decreases

Answer

no change occurs

Answer

air from end 2 flows towards end 1. Volume of the soap bubble at end 1 increases

Properties of Matter

A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1 has a hemispherical soap bubble of radius r. End 2 has sub-hemispherical soap bubble as shown in figure. Just after opening the valve,

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