A U-shaped wire is dipped in a soap solution, and removed. The thin soap film formed between the wire and the light slider supports a weight of `1.5xx 10^-2 N` (which includes the small weight of the slider). The length of the slider is 30 cm. What is the surface tension of the film ?

In the above problem, If the yield strength of steel is 2.5 xx 10^8 N m^-2 , what is the maximum weight that can be hung at the lower end of the wire?

Figure 10.24 (a) shows a thin liquid film supporting a small weight = 4.5xx 10^-2 N. What is the weight supported by a film of the same liquid at the same temperature in Fig. (b) and (c) ? Explain your answer physically:

A wire stretched between two rigid supports vibrates in itsfundamental mode with a frequency of 45 Hz. The mass of the wire is 3.5 xx 10^-2 kg and itslinear mass density is 4.0 xx 10^-2 kg m^-1 . What is the tension in the string?

What is the excess pressure inside a bubble of soap solution of radius 5.00 mm,given that the surface tension of soap solution at the temperature (20^@C) is 2.50xx 10 2 N in 1 ? If an air bubble of the same dimension were formed at depth of 40.0 cm inside a container containing the soap solution (of relative density 1.20), what would be the pressure inside the bubble ? (1 atmospheric pressure is 1.01xx 105 Pa).

A horizontalwire 0.1m longcarries a current of 5 A. Findthe magnitude of magnetic field which can support the weight of the wire. Mass of given wire is 3 xx 10^3Kgm^(-1) .

A solenoid 60 cm long and of radius 4.0 cm has 3 layers of windings of 300 turns each. A 2.0 cm long wire of mass 2.5 g lies inside the solenoid (near its centre) normal to its axis, both the wire and the axis of the solenoid are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to an external battery which supplies a current of 6.0 A in the wire. What value of current (with appropriate sense of circulation) in the windings of the solenoid can support the weight of the wire? g = 9.8 m s^-2 .

Two mercury droplets of radii 0.1 cm and 0.2 cm collapse into one single drop. What amount of energy is released ? The surface tension of mercury, T = 435.5 xx 10^-3 N m^-1