Define photoelectric effect and explain the experimental set-up of the photoelectric effect.
The photoelectric effect refers to the emission of electrons from a material (usually a metal) when exposed to light of a sufficiently high frequency. This phenomenon provides evidence for the particle nature of light, as photons transfer energy to electrons.
Experimental Set-Up:
The experimental setup to observe the photoelectric effect typically includes:
- A light source (e.g., UV light) with a known frequency.
- A photosensitive material (metal plate) connected to an electrometer.
- A variable voltage source to control the stopping potential.
- A collector to capture the emitted photoelectrons.
The light is directed onto the metal surface, and the emitted electrons are detected by the electrometer.
Derive an expression for energy stored in a charged capacitor. A spherical metal ball of radius 15 cm carries a charge of 2μC. Calculate the electric field at a distance of 20 cm from the center of the sphere.
Draw a neat labelled diagram of Ferry's perfectly black body. Compare the rms speed of hydrogen molecules at 227°C with rms speed of oxygen molecules at 127°C. Given that molecular masses of hydrogen and oxygen are 2 and 32, respectively.
Distinguish between an ammeter and a voltmeter. (Two points each).
The displacement of a particle performing simple harmonic motion is \( \frac{1}{3} \) of its amplitude. What fraction of total energy is its kinetic energy?
Using the geometry of the double slit experiment, derive the expression for the fringe width of interference bands.
An alternating voltage is given by \( e = 8 \sin(628.4 t) \).
Find:
(i) Peak value of e.m.f.
(ii) Frequency of e.m.f.
(iii) Instantaneous value of e.m.f. at time \( t = 10 \, {ms} \)