Question
Find the intensity at a point on a screen in Young’s double slit experiment where the interfering waves have a path difference of (i) $\lambda/6$, and (ii) $\lambda/2.$
✓
Answer
Phase difference $=\frac{2\pi}{\lambda}\times$ Path diffrence
Path difference $\frac{\lambda}{6}$ ⟹ phase difference $=\frac{\pi}{3}$
Path difference $\frac{\lambda}{2}$ ⟹ phase difference $={\pi}$
$\text{I}=4\text{I}_0\cos^{2}\bigg(\frac{\phi}{2}\bigg)$
Path difference $\frac{\lambda}{6}$ ⟹ phase difference $=\frac{\pi}{3}$
Path difference $\frac{\lambda}{2}$ ⟹ phase difference $={\pi}$
$\text{I}=4\text{I}_0\cos^{2}\bigg(\frac{\phi}{2}\bigg)$
- $\text{I}_1=4\text{I}_0\times\frac{3}{4}=3\text{I}_0$
- $\text{I}_2=4\text{I}_0\times0=0$
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
Define electric field strength. Is it a vector or a scalar quantity?
A current of 10A is established in a long wire along the positive z-axis. Find the magnetic field $\overrightarrow{\text{B}}$ at the point (1m, 0, 0).
→An inductor-coil carries a steady-state current of 2.0A when connected across an ideal battery of emf 4.0V. If its inductance is 1.0H, find the time constant of the circuit.
Which of the following two statements is more appropriate?
- Two forces are added using triangle rule because force is a vector quantity.
- Force is a vector quantity because two forces are added using triangle rule.
The alternating current in a circuit is described by the graph shown in Fig. Show rms current in this graph.
Why do we prefer a potentiometer to measure the emf of a cell rather than a voltmeter?
When a glass rod is rubbed with a silk cloth, charges appear on both. A similar phenomenon is observed with many other pairs of bodies. Explain how this observation is consistent with the law of conservation of charge.
No interference pattern is detected when two coherent sources are infinitely close to each other. Why?
A small source of sound vibrating at frequency 500Hz is rotated in a circle of radius $\frac{100}{\pi}\text{cm}$ at a constant angular speed of 5.0 revolutions per second. A listener situates himself in the plane of the circle. Find the minimum and the maximum frequency of the sound observed. Speed of sound in air = 332m/s.
→Draw a p-n junction which is reverse biased.