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In this problem we will consider a vapor fluid interface on top of a solid surface. A schematic is shown below:
This is a zoomed-in picture of the edge of a liquid droplet sitting on a surface. The change in the Helmholtz energy due to a change in the position of the vapor-liquid interface along the surface is:
Where are the interaction energies (in N/m, analogous to the intermolecular potential but for macroscopic substances) between the three phases and are material-dependant constants. L is the length of the interface in-and-out of the figure (in-and-out of the page) and θ is the contact angle (a) Compute the work (W) required to move the liquid-vapor interface from x0 to a distance x at constant T, L and θ
(b) Find dU for this system for a given T (for constant T).
(c) You perform an experiment and find that the change in temperature as a function of distance (x) under adiabatic conditions is 10 Kelvin/mm. Find how the contact angle would change as a function of applied heat under isothermal conditions at constant x (and constant L).
In a Fraunhofer diffraction due to single slit the 1 st order minimum is obtained at angle 30 0 with the incident beam. What is the width of the slit if wavelength of i
what is space charge and diffusin capacitance.
A toroid having a square cross-section, 5.48cm on the side, and an inner radius of 19.4cm 450 turns and carries a current of 1.04A. (It is made up of a square solenoid instead of r
A charge of 1.5µC is carried on two parallel rectangular plates each measuring 60mm by 80mm. Measure the electric flux density. If the plates are spaced 10mm apart and the v
For the series-parallel arrangement shown in Figure, find (a) The supply current, (b) The current flowing by each resistor and (c) the p.d. across each resistor
Core type Transformers: In this type of transformer the windings enclose the core (fig. given below). Both the windings are divided and half of every winding is placed on eac
The radioactive isotope D decays according to the sequence If the mass number and atomic number of D2 are 176 and 71 respectively, what is (i) the mass number (ii) atomic
Coriolis pseudoforce (G. de Coriolis; 1835) A pseudoforce that arises due to motion relatively a frame which itself rotating relatively second, inertial frame. The magnitude o
Define, with the help of a schematic diagram, the principle and working of a Light Emitting Diode. What criterion is kept in mind whereas choosing the semiconductor material for su
A scalar function is given by f(x, y, z) = 2xy 2 + xyz 3 . Calculate the gradient of the function at the point (1, 1, 1).
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