Question
In Young’s double slit experiment, explain with reason in each case, how the interference pattern changes, when :
  1. Width of the slits is doubled.
  2. Separation between the slits is increased.
  3. Screen is moved away from the plane of slits.

Answer

  1. The fringe width $\beta= \frac{\text{D}\lambda}{\text{d}}.$
  2. When the width of the slit is doubled; the intensity of interfering waves becomes four times, intensity of maxima becomes 16 times i.e., fringes become brighter.
  3. When separation between the slits is increased the fringe width decreases, i.e., fringes come closer.
  4. $\beta \alpha\text {D }$ when screen is moved away from the plane of the slits, the fringe width increases, i.e., fringes become farther away.

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

A healthy youngman standing at a distance of 7m from a 11.8m high building sees a kid slipping from the top floor. With what speed (assumed uniform) should he run to catch the kid at the arms height (1.8m)?
What is obtained by fusion of two deuterons?
A metal wire PQ of mass 10g lies at rest on two horizontal metal rails separated by 4.90cm A vertically-downward magnetic field of magnitude 0.800T exists in the space. The resistance of the circuit is slowly decreased and it is found that when the resistance goes below 20.0Ω, the wire PQ starts sliding on the rails. Find the coefficient of friction.
A coil of cross $-$ sectional area $A$ lies in a uniform magnetic field $B$ with its plane perpendicular to the field. In this position the normal to the coil makes an angle of $0^\circ$ with the field. The coil rotates at a uniform rate to complete one rotation in time $T$. Find the average induced emf in the coil during the interval when the coil rotates:
$i.$ from $0^{\circ}$ to $90^{\circ}$ position
$ii.$ from $90^{\circ}$ to $180^{\circ}$ position
$iii.$ from $180^{\circ}$ to $270^{\circ}$ and
$iv.$ from $270^{\circ}$ to $360^{\circ}$
It is said that any charge given to a conductor comes to its surface. Should all the protons come to the surface? Should all the electrons come to the surface? Should all the free electrons come to the surface?
An ideal gas expands from $100cm^3$ to $200cm^3$ at a constant pressure of $2.0 \times 10^5$ Pa when 50J of heat is supplied to it. Calculate,
  1. The change in internal energy of the gas.
  2. The number of moles in the gas if the initial temperature is 300K.
  3. The molar heat capacity $C_p$ at constant pressure.
  4. The molar heat capacity $C_v$ at constant volume.
  1.  
  1.  
  1. Write three characteristic properties of nuclear force.
  2. Draw a plot of potential energy of a pair of nucleons as a function of their separation. Write two important conclusions that can be drawn from the graph.
A heating element using nichrome connected to a 230 V supply draws an initial current of 3.2 A which settles after a few seconds to a steady value of 2.8 A. What is the steady temperature of the heating element if the room temperature is 27.0°C? Temperature coefficient of resistance of nichrome averaged over the temperature range involved is $1.70\times10^{-4}{^\circ\text{C}}^{-1}.$
Consider a variation of the previous problem (figure). Suppose the circular loop lies in a vertical plane. The rod has a mass m. The rod and the loop have negligible resistances but the wire connecting O and C has a resistance R. The rod is made to rotate with a uniform angular velocity $\omega$ in the clockwise direction by applying a force at the midpoint of OA in a direction perpendicular to it. Find the magnitude of this force when the rod makes an angle $\theta$ with the vertical.