In a certain double slit experimental arrangement interference fr… - Vidyadip

MCQ

In a certain double slit experimental arrangement interference fringes of width $ 1.0 mm$ each are observed when light of wavelength $ 5000 Å $ is used. Keeping the set up unaltered, if the source is replaced by another source of wavelength $6000 Å, $ the fringe width will be......$mm$

A
$0.5 $
B
$1$
✓
$1.2 $
D
$1.5 $

✓

Answer

Correct option: C.

$1.2 $

c
(c)$\frac{{{\beta _1}}}{{{\beta _2}}} = \frac{{{\lambda _1}}}{{{\lambda _2}}}$or $\frac{{1.0}}{{{\beta _2}}} = \frac{{5000}}{{6000}}$or ${\beta _2} = \frac{{6000}}{{5000}} = 1.2\;mm$.

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

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

Similar questions

In a hydrogen atom, an electron moves in a circular orbit of radius $5.2 \times {10^{ - 11}}\,m$ and produces a magnetic induction of $12.56\, T$ at its nucleus. The current produced by the motion of the electron will be (Given ${\mu _0} = 4\pi \times {10^{ - 7}}\,Wb/A - m)$

If instantaneous current is given by $i = 4\cos \,(\omega \,t + \phi )$ amperes, then the $r.m.s$. value of current is

Surface tension of a soap solution is $1.9 \times {10^{ - 2}}N/m$. Work done in blowing a bubble of $2.0\, cm$ diameter will be

In an experiment to measure the internal resistance of a cell by potentiometer, it is found that the balance point is at a length of $2\,m$ when the cell is shunted by a $5\,\Omega $ resistance; and is at a length of $3\,m$ when the cell is shunted by a $10\,\Omega $ resistance. The internal resistance of the cell is, then ................ $\Omega $

Car $B$ overtakes another car $A$ at a relative speed of $40\, ms^{-1}$. How fast will the image of car ${B}$ appear to move in the mirror of focal length $10\, cm$ fitted in car ${A}$, when the car ${B}$ is $1.9\, m$ away from the car ${A}$ ? (In $ms^{-1}$)

The maximum velocity of a body undergoing $S.H.M$. is $0.2\,m/s$ and its acceleration at $0.1\,m$ from the mean position is $0.4\,m/s^2$. The amplitude of the $S.H.M.$ is .... $m$

A bullet of mass $10\, g$ moving horizontally with a velocity of $400\, m s^{-1}$ strikes a wood block of mass $2\, kg$ which is suspended by light inextensible string of length $5\, m.$ As a result, the centre of gravity of the block found to rise a vertical distance of $10\, cm.$ The speed of the bullet after it emerges out horizontally from the block will be ................... $\mathrm{ms}^{-1}$

In the following circuit, $18\,\Omega $ resistor develops $2\,J/sec$ due to current flowing through it. The power developed across $10\,\Omega $ resistance is .............. $W$

For equal point charges $Q$ each are placed in the $xy$ plane at $(0, 2), (4, 2), (4, -2)$ and $(0, -2)$. The work required to put a fifth change $Q$ at the origin of the coordinate system will be

$CO_2$ gas is found in which of the following pairs of the planet