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# Solution for The Threshold Frequency for a Certain Metal is 3.3 × 1014 Hz. If Light of Frequency 8.2 × 1014 Hz is Incident on the Metal, Predict the Cutoff Voltage for the Photoelectric Emission. - CBSE (Science) Class 12 - Physics

ConceptPhotoelectric Effect and Wave Theory of Light

#### Question

The threshold frequency for a certain metal is 3.3 × 1014 Hz. If light of frequency 8.2 × 1014 Hz is incident on the metal, predict the cutoff voltage for the photoelectric emission.

#### Solution

Threshold frequency of the metal, v_0 = 3.3 xx 10^(14) Hz

Frequency of light incident on the metal, v = 8.2 xx 10^14  Hz

Charge on an electron, e = 1.6 × 10−19 C

Planck’s constant, h = 6.626 × 10−34 Js

Cut-off voltage for the photoelectric emission from the metal = V_0

The equation for the cut-off energy is given as:

eV_0 = h(v -v_0)

V_0 = (h(v - v_0))/e

= (6.626 xx 10^(-34) xx (8.2 xx 10^14 - 3.3 xx 10^(14)))/(1.6 xx 10^(-19)) = 2.0292 V

Therefore, the cut-off voltage for the photoelectric emission is 2.0292 V

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#### APPEARS IN

NCERT Solution for Physics Textbook for Class 12 (2013 to Current)
Chapter 11: Dual Nature of Radiation and Matter
Q: 8 | Page no. 408
Solution The Threshold Frequency for a Certain Metal is 3.3 × 1014 Hz. If Light of Frequency 8.2 × 1014 Hz is Incident on the Metal, Predict the Cutoff Voltage for the Photoelectric Emission. Concept: Photoelectric Effect and Wave Theory of Light.
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