### JEE Mains Previous Years Questions with Solutions

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1

### AIEEE 2003

To demonstrate the phenomenon of interference, we require two sources which emit radiation
A
of nearly the same frequency
B
of the same frequency
C
of different wavelengths
D
of the same frequency and having a definite phase relationship

## Explanation

For the phenomenon of interference we require two sources of light of same frequency and having a definite phase relationship (a phase relationship that does not change with time)
2

### AIEEE 2002

which of the following is used in optical fibres?
A
total internal reflection
B
scattering
C
diffracttion
D
refraction

## Explanation

In an optical fibre, light is sent through the fibre without any loss by the phenomenon of total internal reflection as shown in the figure.
3

### AIEEE 2002

Wavelength of light used in an optical instrument are ${\lambda _1} = 4000\mathop A\limits^ \circ$ and ${\lambda _2} = 5000\mathop A\limits^ \circ ,$ then ratio of their respective resolving powers (corresponding to ${\lambda _1}$ and ${\lambda _2}$ ) is
A
$16:25$
B
$9:1$
C
$4:5$
D
$5:4$

## Explanation

${{{{\left( {R.P} \right)}_1}} \over {{{\left( {R.P} \right)}_2}}} = {{{\lambda _2}} \over {{\lambda _1}}} = {5 \over 4}$
4

### AIEEE 2002

If two mirrors are kept at ${60^ \circ }$ to each other, then the number of images formed by them is
A
$5$
B
$6$
C
$7$
D
$8$

## Explanation

KEY CONCEPT : When two plane mirrors are inclined a each other at an angle $\theta$ then the number of the images of a point object placed between the plane mirrors is

${{{{360}^ \circ }} \over \theta } - 1,\,\,if{{{{360}^ \circ }} \over \theta }$ is even

$\therefore$ Number of images formed

$= {{{{360}^ \circ }} \over {{{60}^ \circ }}} - 1 = 5$