Question
Light of wavelength $\lambda= 5000 Å$ falls normally on a narrow slit. A screen placed at a distance of $1\, m$ from the slit and perpendicular to the direction of light. The first minima of the diffraction pattern is situated at $5\, mm$ from the centre of central maximum. The width of the slit is.......$mm$

Answer

(a)Position of nth minima ${x_n} = \frac{{n\lambda D}}{d}$
$ \Rightarrow $ $5 \times {10^{ - 3}} = \frac{{1 \times 5000 \times {{10}^{ - 10}} \times 1}}{d}$
$ \Rightarrow $ $d = {10^{ - 4}}\,\,m = 0.1\,\,mm$.

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

Similar questions

Three resistors are connected to form the sides of a triangle $ABC$, the resistance of the sides $AB$, $BC$ and $CA$ are $40\,ohms$, $60\,ohms$ and $100\,ohms$ respectively. The effective resistance between the points $A$ and $B$ in $ohms$ will be
In the circuit shown $P \ne R$, the reading of the galvanometer is same with switch $S$ open or closed. Then
A ball is held in the position shown with string of length $1\,\, m$ just taut & then projected horizontally with a velocity of $3 \,\,m/s$. If the string becomes taut again when it is vertical, angle $\theta$ is given by  ........ $^o$
The addition of $HCN$ to carbonyl compounds is an example of
Resonance is an example of
When a sound wave of frequency $300 Hz$ passes through a medium the maximum displacement of a particle of the medium is $0.1 cm$. The maximum velocity of the particle is equal to
A circular disc of radius $b$ has a hole of radius $a$ at its centre (see figure). If the mass per unit area of the disc varies as $\left( {\frac{{{\sigma _0}}}{r}} \right)$, then the radius of gyration of the disc about its axis passing through the centre is
The electron in a hydrogen atom makes a transition from an excited state to the ground state. Which of the following statements is true
the magnetic induction at $O$ due to the whole length of the conductor is
In an amplitude modulation, a modulating signal having amplitude of $X$ Volt is superimposed with a carrier signal of amplitude $Y$ Volt in first case. Then, in second case, the same modulating signal is superimposed with different carrier signal of amplitude $2 Y$ Volt. The ratio of modulation index in the two case respectively will be: