Question
In a double slit interference experiment, the separation between the slits is $1.0\ mm,$ the wavelength of light used is $5.0 \times 10^{-7}m$ and the distance of the screen from the slits is $1.0m$.
  1. Find the distance of the centre of the first minimum from the centre of the central maximum.
  2. How many bright fringes are formed in one centimeter width on the screen?

Answer

Given that$, d = 1\ mm = 10^{-3}m, D = 1m.$
So, fringe with $=\frac{\text{D}\lambda}{\text{d}}=0.5\ \text{mm}.$
  1. So, distance of centre of first minimum from centre of central maximum $=\frac{0.5}{2}\ \text{mm}=0.25\ \text{mm}$
  2. No. of fringes $\frac{10}{0.5}=20.$

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 proton and an a particle are accelerated through the same potential difference. Which one of the two has (i) greater de-Broglie wavelength, and (ii) less kinetic energy? Justify your answer.
An atom absorbs a photon of wavelength 500nm and emits another photon of wavelength 700nm. Find the net energy absorbed by the atom in the process.
Give a physical explanation of the fact that the potential energy of a positive charge coupled is positive.
When three identical capacitors are connected in series, their equivalent (total) capacitance is $1 \mu F$. If they are connected in parallel, what will be their total capacitance? If the capacitors are connected to the same source in both the conditions (combinations), then find the ratio of the stored energy in these two types of combinations.
Write applications of the resonance phenomenon in the $L - C - R$ series circuit.
The electric force experienced by a charge of $1.0 \times 10^{-6}C$ is $1.5 \times 10^{-3}N.$ Find the magnitude of the electric field at the position of the charge.
A proton and an alpha particle are accelerated through the same potential. Which one of the two has, (i) greater value of de-Broglie wavelength associated with it and (ii) less kinetic energy. Give reasons to justify your answer.
The ground state energy of hydrogen atom is – 13·6 eV. If an electron makes a transition from an energy level – 1·51 eV to – 3·4 eV, calculate the wavelength of the spectral line emitted and name the series of hydrogen spectrum to which it belongs.
Describe, with the help of a circuit diagram, the working of a photodiode.
Draw $ৎ \rightarrow$ T graph for metals, alloys and semi conductor and explain.