Physics ADS

Sume and explain Gaus' law in dielectrics. Also give its significance.

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(b) Derive a mathematical expression for an electric field it a polan lying outside of a (5)

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uniformy charged spherical shell

A spherical shell has a total charge q = 4pC and radios 0.3 m. Calculate the eloctric (10) (20)

field at a dinance of .5

frons the center of the shell

3. (a^

What is meant by induced er? Why is is called induced?

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(b) Derive an expression for induced end in a coll with N tures due to changing magnetic (5)

c) Magnetic flax fhrough a 20 tum coil changes from 0.5 to 0.1 Wb in 0.2 x. How much (5)

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inf would be induced in the coil?

L. Or

Discuss the time-independert Schrodinger wave equat

Why is is called time (5)

independere?

Son or tients wither wave equation for a panicle in a c

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rensional potent

* f electron= = 911 x10 g

electron in a 1-D potential well with L, = 1 nm. Mass (10) (2

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What is meant by Beavais latice?

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Calabne the volume of the buse centered cuble structare of side length Q.4 mm. The (5)

volvine needs to te in A

Clearly elaborate the difference

entared and face-centered cubic (10) (20)

lattices. Also discuss sypes of bau

6

(a)

Define Permi sphere. la this an e

Deduce the Fermi-Dirat distrite

ute? Explain

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fee Fermi energy level (E = Ey)

(c) Calculate the Farmi energy for Ca in eV with mumber deasity (n) of 8.49 x (5)

1070 atoms /

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1。

（）

(b)

（e）

用一911×10-1K2A一662×10-018

Explain on sal

ads the difference between alpha, beta and gamma decay.

Write the decay oquer

non for the alpho decay of Us

The churge number and masss number of two nuclei A & 8 are the

same. But their

inding energies are such that (B.D), > (B.6),. Which suckens will have more mai

and why?

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