MH SET 2020 Paper 2 Physical Science Question Paper (27-Dec-2020)

Question 1

Unit vector perpendicular to $\bar{A}=2\hat{i}-\hat{j}+\hat{k}$ and $\bar{B}=3\hat{i}+4\hat{j}-\hat{k}$ is :

Accepted Answer

$\frac{-3\hat{i}+5\hat{j}+11\hat{k}}{\sqrt{155}}$

Answer

$\frac{\hat{i}-\hat{j}+2\hat{k}}{\sqrt{6}}$

Answer

$\frac{4\hat{i}-\hat{j}-5\hat{k}}{\sqrt{42}}$

Answer

$\frac{\hat{i}+2\hat{j}-4\hat{k}}{\sqrt{21}}$

Question 2

If S is a closed surface enclosing a volume V and $\hat{n}$ is the unit vector normal to the surface and $\bar{r}$ is the position vector, then the value of the integral $\iint_{S}\hat{n}\,dS$ is :

Accepted Answer

0

Answer

V

Answer

2V

Answer

3V

Question 3

A particle passes through a medium and is deflected by a small angle $\pm\delta_0$ upon each collision within the medium with equal probability in any direction. The mean square angular scattering after N such collision, $\overline{\delta^2}$ is :

Accepted Answer

$N\delta_0^2$

Answer

0

Answer

$\frac{\delta_0^2}{N}$

Answer

$N^2\delta_0^2$

Question 4

When a complex number Z is multiplied by $i$, the resulting vector $iz$, in the $z$ plane, is obtained by rotating the vector $z$ through :

Accepted Answer

$\pi/2$

Answer

$\pi$

Answer

$-\pi/2$

Answer

$3\pi/2$

Question 5

The residue of the function $\frac{z^2}{z^2+a^2}$ at $z=ia$ is :

Accepted Answer

$\frac{ia}{2}$

Answer

$-a^2$

Answer

$ia$

Answer

$\infty$

MH SET 2020 Paper 2 Physical Science Question Paper (27-Dec-2020)

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