Question:

Let K1 and K2 be the maximum kinetic energies of photo-electrons emitted when two monochromatic beams of wavelength λ1 and λ2, respectively are incident on a metallic surface. If λ= 3λ2 then:

Updated On: Mar 19, 2025
  • \(K_1> \frac{K_2}{3}\)

  • \(K_1< \frac{K_2}{3}\)

  • \(K_1=\frac{K_2}{3}\)

  • \(K_2<=\frac{K_1}{3}\)

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The Correct Option is B

Solution and Explanation

K1=\(\frac{ℎc}{λ_1}−Φ\)=\(\frac{ℎc}{3λ_2}−Φ\)….(i)
and
K2=\(\frac{ℎc}{λ_2}−Φ\)….(ii)
from (i) and (ii) we can say
3K1 = K2 – 2φ
\(K1<\frac{K2}{3}\)

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Concepts Used:

Waves

Waves are a disturbance through which the energy travels from one point to another. Most acquainted are surface waves that tour on the water, but sound, mild, and the movement of subatomic particles all exhibit wavelike properties. inside the most effective waves, the disturbance oscillates periodically (see periodic movement) with a set frequency and wavelength.

Types of Waves:

Transverse Waves -

Waves in which the medium moves at right angles to the direction of the wave.

Examples of transverse waves:

  • Water waves (ripples of gravity waves, not sound through water)
  • Light waves
  • S-wave earthquake waves
  • Stringed instruments
  • Torsion wave

The high point of a transverse wave is a crest. The low part is a trough.

Longitudinal Wave -

A longitudinal wave has the movement of the particles in the medium in the same dimension as the direction of movement of the wave.

Examples of longitudinal waves:

  • Sound waves
  • P-type earthquake waves
  • Compression wave