Question
Find the angular separation between the consecutive bright fringes in a Young's double slit experiment with blue-green light of wavelength 500nm. The separation between the slits is 2.0 × 10-3m.
✓
Answer
Given that, $\lambda=500\text{nm}=500\times10^{-9}\text{m}$ and d = 2 × 10-3m
As shown in the figure, angular separation $\theta=\frac{\beta}{\text{D}}=\frac{\lambda\text{D}}{\text{dD}}=\frac{\lambda}{\text{d}}$
So, $\theta=\frac{\beta}{\text{D}}=\frac{\lambda}{\text{d}}=\frac{500\times10^{-9}}{2\times10^{-3}}=250\times10^{-6}$
= 25 × 10-5 radian = 0.014 degree.
As shown in the figure, angular separation $\theta=\frac{\beta}{\text{D}}=\frac{\lambda\text{D}}{\text{dD}}=\frac{\lambda}{\text{d}}$
So, $\theta=\frac{\beta}{\text{D}}=\frac{\lambda}{\text{d}}=\frac{500\times10^{-9}}{2\times10^{-3}}=250\times10^{-6}$
= 25 × 10-5 radian = 0.014 degree.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In the given figure, a current carrying conductor of non-uniform cross-section is shown. At what points, the magnitude will be maximum of (i) current (ii) current density and (iii) drift velocity?
Each of the batteries shown in figure has an emf equal to 5V. Show that the magnetic field B at the point P is zero for any set of values of the resistances.
X-ray and visible light travel at the same speed in vacuum. Do they travel at the same speed in glass?
The magnetic field lines prefer to pass through iron than air. Explain why?
Consider a circuit containing an ideal battery connected to a resistor. Do "work done by the battery" and "the thermal energy developed" represent two names of the same physical quantity?
What is self induction ? Obtain expression for self induced emf.
For a given light sensitive material and a source of incident radiation of fixed frequency, how does the photoelectric current decay with the intensity of incident light?
Explain self induction and obtain equation of self induced emf in a coil.
Draw and explain the output waveform across the load resistor R, if the input waveform is as shown in the given figure.
Let I = current through a conductor, R = its resistance and V = potential difference across its ends. According to Ohm's law, product of two of these quantities equals the third. Obtain Ohm's law from dimensional analysis. Dimensional formulae for R and V are $\text{ML}^2\text{I}^{-2}\text{T}^{-3}$ and $\text{ML}^2\text{T}^{-3}\text{I}^{-1}$ respectively.
→