JEE Main 2016 Question Paper (09-Apr-2016)

Question 1

Three capacitors each of $4\,\mu\mathrm{F}$ are to be connected in such a way that the effective capacitance is $6\,\mu\mathrm{F}$. This can be done by connecting them

Accepted Answer

Two in series and one in parallel

Answer

all in series

Answer

all in parallel

Answer

Two in parallel and one in series

Question 2

In the circuit shown, the resistance $ r $ is a variable resistance. If for $ r = fR $, the heat generation in $ r $ is maximum, then the value of $ f $ is

Accepted Answer

$\frac{1}{2}$

Answer

$1$

Answer

$\frac{1}{4}$

Answer

$ \frac{3}{4} $

Question 3

The ratio of work done by an ideal monoatomic gas to the heat supplied to it in an isobaric process is

Accepted Answer

$\frac{2}{5}$

Answer

$\frac{3}{2}$

Answer

$ \frac{3}{5} $

Answer

$\frac{2}{3}$

Question 4

A rocket is fired vertically from the earth with an acceleration of $2g$, where $g$ is the gravitational acceleration. On an inclined plane inside the rocket, making an angle $\theta$ with the horizontal, a point object of mass $m$ is kept. The minimum coefficient of friction $\mu_{\min}$ between the mass and the inclined surface such that the mass does not move is:

Accepted Answer

$ 	an 	heta $

Answer

$ 	an 2	heta $

Answer

$3 	an 	heta$

Answer

$2 	an 	heta$

Question 5

In Young's double-slit experiment, the distance between the slits and the screen is $1 \mathrm{m}$ and monochromatic light of wavelength $600 \mathrm{nm}$ is being used. A person standing near the slits is looking at the fringe pattern. When the separation between the slits is varied, the interference pattern disappears for a particular distance $d_0$ between the slits. If the angular resolution of the eye is $\frac{1}{60}^\circ$, then the value of $d_0$ is close to

Accepted Answer

$2 \mathrm{mm}$

Answer

$1 \mathrm{mm}$

Answer

$3 \mathrm{mm}$

Answer

$4 \mathrm{mm}$