MH SET 2021 Paper 2 Physical Science Question Paper (26-Sep-2021)

Question 1

Consider a vector $\bar{v}=\frac{\bar{r}}{r^3}$. The surface integral of this vector over the surface of a cube of side $a$ and centered at the origin is :

Accepted Answer

zero

Answer

$2\pi$

Answer

$2\pi a^3$

Answer

$4\pi$

Question 2

If a force $\bar{F}$ is derivable from a potential function $V(r)$, where $r$ is the distance from the origin of the coordinate system, it follows that :

Accepted Answer

$\bar{\nabla}\times\bar{F}=0$

Answer

$\bar{\nabla}.\bar{F}=0$

Answer

$\bar{\nabla}V=0$

Answer

$\nabla^2 V=0$

Question 3

A book contains 600 typographic errors in its 600 pages. These typo errors occur completely at random. Using the Poisson distribution, the probability, that a page contains no error, is :

Accepted Answer

0.37

Answer

0

Answer

1

Answer

0.74

Question 4

For which of the following values of $z$, will the function $\omega=u+iv$ defined by $z=\sin u\cosh v+i\cos u\sinh v$ ceases to be analytic ?

Accepted Answer

$z=\pm1$

Answer

$z=+i$

Answer

$z=-i$

Answer

$z=0$

Question 5

Consider a circle C in the $z$ plane, $|z-2|=5$, then $\oint_C\frac{dz}{z-8}$ is equal to :

Accepted Answer

0

Answer

$\infty$

Answer

3

Answer

5

MH SET 2021 Paper 2 Physical Science Question Paper (26-Sep-2021)

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