Category solved model papers

Describe in brief the various types of polarization mechanisms.

8 b]Describe in brief the various types of polarization mechanisms.

What is Hall effect and illustrate on the determination of the type of charge carriers in semiconductors.

7b]What is Hall effect and illustrate on the determination of the type of charge carriers in semiconductors. type of charge carriers in semiconductors.

Deduce the expression for electrical conductivity of a conductor using the quantum free electron theory of metals.

8 a]Deduce the expression for electrical conductivity of a conductor using the quantum free electron theory of metals.

Form the partial differential equation from 𝑓(𝑥+𝑦+𝑧,𝑥2+𝑦2+𝑧2) = 0

6.A] Form the partial differential equation from 𝑓(𝑥 + 𝑦 + 𝑧, 𝑥2 + 𝑦2 + 𝑧2) = 0 Answer:-

Solve 𝜕^2𝑧/𝜕𝑥^2=𝑥𝑦 subject to the conditions 𝜕𝑧/𝜕𝑥=log(1 + 𝑦), when 𝑥 = 1 and 𝑧=0, when 𝑥=0.

5.B] Solve , given that when x = 0, z = 1 and

Form the partial differential equation from 𝑓(𝑥 + 𝑦 + 𝑧, 𝑥2 + 𝑦2 + 𝑧2) = 0

6.A] Form the partial differential equation from 𝑓(𝑥 + 𝑦 + 𝑧, 𝑥2 + 𝑦2 + 𝑧2) = 0 Answer:

Form the partial differential equation by eliminating the arbitrary function from the relation 𝑎𝑥 + 𝑏𝑦 + 𝑐𝑧 = 𝑓(𝑥2 + 𝑦2 + 𝑧2).

5.A] Form the partial differential equation by eliminating the arbitrary function from the relation 𝑎𝑥 + 𝑏𝑦 + 𝑐𝑧 = 𝑓(𝑥2 + 𝑦2 + 𝑧2). Answer:

Using Lagrange’s interpolation formula, fit a polynomial which passes through the points (−1, 0), (1, 2), (2, 9) and (3, 8) and hence estimate the value of y when 𝑥 = 2.2

8. B) Using Lagrange’s interpolation formula, fit a polynomial which passes through the points (−1, 0), (1, 2), (2, 9) and (3, 8) and hence estimate the value of y…

Solve 𝜕^2𝑧/𝜕𝑥^2 = 𝑧, given that when 𝑦 = 0, 𝑧 = 𝑒^𝑥 𝑎𝑛𝑑 𝜕𝑧/𝜕𝑦 = 𝑒^−x

6.C] Solve = Z given that when y=0, z=ex and = e-x . Answer:-

Problems on work done by force and flux

4.A] If 𝐹⃗ = (5𝑥𝑦 − 6𝑥2)𝑖+ (2𝑦 − −4𝑥)𝑗, evaluate ∫c 𝐹⃗ ∙ 𝑑𝑟⃗ along the curve 𝐶: 𝑦 = 𝑥3 in the 𝑥𝑦 −plane from the point (1,…