11.27 Monochromatic radiation of wavelength 640.2 nm (1nm = 10–9 m) from a neon lamp irradiates photosensitive material made of cesium on tungsten. The stopping voltage is measured to be 0.54 V. The source is replaced by an iron source and its 427.2 nm line irradiates the same photo-cell. Predict the new stopping voltage.
11.27 Monochromatic radiation of wavelength 640.2 nm (1nm = 10–9 m) from a neon lamp irradiates photosensitive material made of cesium on tungsten. The stopping voltage is measured to be 0.54 V. The source is replaced by an iron source and its 427.2 nm line irradiates the same photo-cell. Predict the new stopping voltage.
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1 Answer
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11.27 Wavelength of the monochromatic light, = 640.2 nm = 640.2
Stopping potential of neon lamp, = 0.54 V
Charge of an electron, e = 1.6
Planck’s constant, h = 6.626 Js
Speed of light, c = 3 m/s
Let be the work function and frequency of emitted light
We have the photo-energy relation from the photoelectric effect as:
= = h -
-
= 1.6
= 3.105 - 0.864
= 2.241 J
= eV
=1.40 eV
The wavelength of the radiation emitted from an iron source, = 427.2 nm = 427.2
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Based on theory
z² × (13.6) (1 - ¼) = 3 × (13.6)
z = 2 . (i)
h/√2mk? = (1/2.3) × h/√2mk?
=> k? = (2.3)²k? = 5.25k? (ii)
Now, k? = E? - Φ
k? = E? - Φ = z²E? - Φ
∴ k? /k? = (10.2 - Φ)/ (4 × 10.2 - Φ) = 1/5.25
=> Φ = 3eV
- (i)
- (ii)
from (i) & (ii)
ev
hu = hu0 + K.E
Cases u = 2u0
h2u0 = hu0 + K.E1
K.E1 = hu0
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Now, cases 2
h 5u0 = hu0 + k.E2
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v2 =
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This is a Short Answer Type Questions as classified in NCERT Exemplar
Sol:
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