MH SET 2019 Paper 2 Physical Science Question Paper (23-Jun-2019)

Question 1

If $\overline{A} = x\hat{e}_x + y\hat{e}_y + z\hat{e}_j$, then $\nabla^2 \overline{A}$ will be :

Accepted Answer

0

Answer

1

Answer

3

Answer

– 3

Question 2

If a vector field $\overline{F} = x\hat{i} + 2y\hat{j} + 3z\hat{k}$, then $\overline{\nabla} \times (\overline{\nabla} \times \overline{F})$ is :

Accepted Answer

Zero

Answer

$\hat{j}$

Answer

$2\hat{j}$

Answer

$3\hat{k}$

Question 3

A gas molecule moves equal distances λ between successive collisions with equal probability in any direction. After a total of N such collisions, the mean square displacement of the molecule $\overline{d}^2$ will be :

Accepted Answer

Nλ2

Answer

Nλ

Answer

N2λ2

Answer

N2λ

Question 4

At the origin, the function $f(z) = \sqrt{|xy|}$ is not analytic because :

Accepted Answer

The Cauchy-Riemann (C-R) conditions are not satisfied in the neighbourhood of origin.

Answer

$f'(0) \neq 0$ and the C-R conditions are satisfied at origin.

Answer

$f'(0) = 0$ though the C-R conditions are satisfied at origin.

Answer

$f'(0) = 0$ and the C-R conditions are not satisfied at origin.

Question 5

I = $\int_c \frac{z^2\,dz}{(z^2 + 1)(z^2 + 4)}$, in the z-plane.Here c is a contour as shown :then :

Accepted Answer

I = π/3

Answer

I = π/6

Answer

I = – π/3

Answer

I = 0

MH SET 2019 Paper 2 Physical Science Question Paper (23-Jun-2019)

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