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Q. What is the density of energy states in metals? Obtain an expression for the density of states for free electron gas in metals.
Ans. Density of energy state is defined as the number of available energy states per unit energy range per unit volume.
To calculate density of energy state, let us introduce a 3 D space defined by. Each point in this space would represent an energy state and is associated with a volume element of one unity. Now if we draw a sphere of radius n in this space then each energy state defined by
The factor 1/8 accounts for the fact that only positive integers are allowable and thus only one octant of the sphere is available.
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The mass of a proton and of an antiproton is 1.00728 u. Recall that the conversion of exactly 1 u into energy yields 931.5 MeV. a. Measure the mass used up when a proton and
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A battleship concurrently ?res two shells at enemy ships along the trajectories shown. One ship (A) is close by; the other ship (B) is far away. Which ship gets hit ?rst?
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Under standard state conditions at 37 o C, a biochemical reaction : A ↔ B + C has an equilibrium constant K = 0.0422 mol/dm 3 . (i) Calculate the standard
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When we move from a positive charge towards an equal negative charge along the line joining the two then initially potential reduces in magnitude and at centre changes into zero, b
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