Question
Find the angular separation between the consecutive bright fringes in a Young's double slit experiment with blue$-$green light of wavelength $500\ nm$. The separation between the slits is $2.0 \times 10^{-3}m.$
✓
Answer
Given that, $\lambda=500\text{nm}=500\times10^{-9}\text{m}$ and $d = 2 \times 10^{-3}m$
As shown in the figure, angular separation $\theta=\frac{\beta}{\text{D}}=\frac{\lambda\text{D}}{\text{dD}}=\frac{\lambda}{\text{d}}$
So, $\theta=\frac{\beta}{\text{D}}=\frac{\lambda}{\text{d}}=\frac{500\times10^{-9}}{2\times10^{-3}}=250\times10^{-6}$
$= 25 \times 10^{-5}$ radian
$= 0.01$4 degree.
As shown in the figure, angular separation $\theta=\frac{\beta}{\text{D}}=\frac{\lambda\text{D}}{\text{dD}}=\frac{\lambda}{\text{d}}$
So, $\theta=\frac{\beta}{\text{D}}=\frac{\lambda}{\text{d}}=\frac{500\times10^{-9}}{2\times10^{-3}}=250\times10^{-6}$
$= 25 \times 10^{-5}$ radian
$= 0.01$4 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
A spherical shell is heated. The volume change according to the equation $\text{V}_\theta=\text{V}_\theta(1+\gamma\theta)$. Does the volume refer to the volume enclosed by the shell or the volume of the material making up the shell?
→Draw a diagram to show the standing pressure wave and standing displacement wave for the 3rd overtone mode of vibration of an open organ pipe.
A bar magnet is kept in a uniform magnetic field such that its magnetic moment is at an angle with the direction of $\overrightarrow{ B }$. Write an expression for potential energy of this system. When it will be minimum?
→Draw the circuit diagram of an illuminated photodiode in reverse bias. How is photodiode used to measure light intensity?
Write Maxwell's equations.
Find the charge on each of the capacitors 0.20ms after the switch S is closed in the figure.
Calculate the current drawn from the battery in the given network.
Figure shows a conducting circular loop of radius a placed in a uniform, perpendicular magnetic field B. A thick metal rod OA is pivoted at the centre O. The other end of the rod touches the loop at A. The centre O and a fixed point C on the loop are connected by a wire OC of resistance R. A force is applied at the middle point of the rod OA perpendicularly, so that the rod rotates clockwise at a uniform angular velocity $\omega.$ Find the force.
→The potential difference between the terminals of a 6.0V battery is 7.2V when it is being charged by a current of 2.0A. What is the internal resistance of the battery?
Given a uniform electric field$\overrightarrow{\text{E}}: 5 \times 10^3\ \hat{i}\ N/C,$ find the flux of this field through a square of $10 \ cm$ on a side whose plane is parallel to the $y-z$ plane. What would be the flux through the same square if the plane makes a $30^0$ angle with the $x-$axis?
→