In a Young's double slit experiment, the intensities at two point… - Vidyadip

MCQ

In a Young's double slit experiment, the intensities at two points, for the path difference $\frac{\lambda}{4}$ and $\frac{\lambda}{3}$ ( $\lambda$ being the wavelength of light used) are $I_1$ and $I_2$ respectively. If $I_0$ denotes the intensity produced by each one of the individual slits, then $\frac{ I _1+ I _2}{ I _0}=..............$

A
$2$
B
$1$
✓
$3$
D
$4$

✓

Answer

Correct option: C.

$3$

c
$I =4 I _0 \cos ^2\left(\frac{\Delta \phi}{2}\right)$

$I _1=4 I _0 \cos ^2\left(\frac{\pi}{4}\right)=2 I _0$

$I _2=4 I _0 \cos ^2\left(\frac{2 \pi}{3}\right)= I _0$

$\Rightarrow \frac{ I _1+ I _2}{ I _0}=3$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A $ 60 kg$ man runs up a staircase in $ 12$ seconds while a $ 50 kg$ man runs up the same staircase in $11$ , seconds, the ratio of the rate of doing their work is

A lamp is hanging at a height $40\, cm$ from the centre of a table. If its height is increased by $10\, cm $ the illuminance on the table will decrease by.....$\%$

Two thin parallel slits are made in an opaque screen. When a monochromatic beam of light passes through them at normal incidence, the first bright fringe in the transmitted light occurs at $\pm 45^o $ with the original direction of the light beam on a distant screen when the apparatus is in air. When the apparatus is immersed in a liquid, the same bright fringe now occurs at $\pm 30^o $. The index of refraction of the liquid is

The truth-table given below is for which gate

$A\,\, 0\,\, 0\,\, 1\,\, 1$

$B\,\, 0\,\, 1\,\, 0\,\, 1$

$C\,\, 1\,\, 1\,\, 1 \,\, 0$

A $U-$ tube is such that the diameter of one limb is $0.4\,mm$ and that of other is $d\, mm$ . If the surface tension of water contained in the tube is $0.07\,N/m$ and the difference in the levels of liquid in the limbs is $3.6\,cm,$ then the value of $d$ is

If a bullet of mass $5 \,gm$ moving with velocity $100 \,m /sec$, penetrates the wooden block upto $6 \,cm$. Then the average force imposed by the bullet on the block is ........... $N$

In an ideal gas at temperature $T$, the average force that a molecule applies on the walls of a closed container depends on $T$ as ${T^q }$ . A good estimate for $q$ is

In the circuit shown in the figure neglecting source resistance the voltmeter and ammeter reading will respectively be

Two equal forces ($P$ each) act at a point inclined to each other at an angle of $120^°$. The magnitude of their resultant is

The time period of oscillations of a simple pendulum is $1$ minute. If its length is increased by $44 \%$. then its new time period of oscillation will be ......... $s$