The pressure inside two soap bubbles are \(1.01\) and \(1.02\) atmosphere, respectively. The ratio of their volumes is:
1. \(4:1\)
2. \(2:1\)
3. \(8:1\)
4. \(0.8:1\)
A large number of water drops, each of radius \(r,\) combine to have a drop of radius \(R.\) If the surface tension is \(T\) and mechanical equivalent of heat is \(J\), the rise in heat energy per unit volume will be:
1. | \(\dfrac{2T}{J}\left (\dfrac{1}{r}- \dfrac{1}{R}\right)\) | 2. | \(\dfrac{2T}{Jr}\) |
3. | \(\dfrac{3T}{Jr}\) | 4. | \(\dfrac{3T}{J}\left (\dfrac{1}{r}- \dfrac{1}{R}\right)\) |
Assertion (A): | Clothes containing oil or grease stains cannot be cleaned by water wash |
Reason (R): | Because the angle of contact between the oil/grease and water is obtuse. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | (A) is False but (R) is True. |
1. | \(\dfrac{T}{R}\) | 2. | \(\dfrac{2T}{R}\) |
3. | \(\dfrac{3T}{R}\) | 4. | \(\dfrac{4T}{R}\) |
The amount of work required to expand the soap bubble from a radius of \(r_1=3.5~\text{cm}\) to \(r_2=7.0~\text{cm}\) is:
(given surface tension of soap solution, \(T=0.03~\text{N/m}\))
1. \(0.14~\text{mJ}\)
2. \(1.4~\text{mJ}\)
3. \(0.7~\text{mJ}\)
4. \(2.8~\text{mJ}\)