Wave Nature of Electromagnetic Radiation

Threshold frequency, ν₀ is the minimum frequency which a photon must possess to eject an electron from a metal. It is different for different metals. When a photon of frequency 1.0 × 10¹⁵ s^–1 was allowed to hit a metal surface, an electron having 1.988 × 10^–19 J of kinetic energy was emitted. Calculate the threshold frequency of this metal. Show that an electron will not be emitted if a photon with a wavelength equal to 600 nm hits the metal surface.

The region in the electromagnetic spectrum where the Balmer series lines appear is ______.

A particular station of All India Radio, New Delhi, broadcasts on a frequency of 1,368 kHz (kilohertz). The wavelength of the electromagnetic radiation emitted by the transmitter is ______

[speed of light, c = 3.0 × 10⁸ ms⁻¹]

Nitrogen laser produces radiation at a wavelength of 337.1 nm. If the number of photons emitted is 5.6 × 10²⁴, calculate the power of this laser.

Neon gas is generally used in the signboards. If it emits strongly at 616 nm, calculate

1. the frequency of emission,
2. distance traveled by this radiation in 30 s
3. energy of quantum and
4. number of quanta present if it produces 2 J of energy.

The wavelength associated with an electron equal to the wavelength of a proton would be ______ × 10³.

(mass of e = 9 × 10⁻²⁸ g; mass of proton = 1.6725 × 10⁻²⁴ g)

The energy ratio of a photon of wavelength 3000 Å and 6000 Å is ______.

A particular station of All India Radio, New Delhi, broadcasts on a frequency of 1,368 kHz (kilohertz). The wavelength of the electromagnetic radiation emitted by the transmitter is ______.

[speed of light, c = 3.0 × 10⁸ ms⁻¹]