11.2 The work function of cesium metal is 2.14 eV. When light of frequency 6 Hz is incident on the metal surface, photoemission of electrons occurs. What is the
(a) Maximum kinetic energy of the emitted electrons,
(b) Stopping potential, and
(c) Maximum speed of the emitted photoelectrons?
11.2 The work function of cesium metal is 2.14 eV. When light of frequency 6 Hz is incident on the metal surface, photoemission of electrons occurs. What is the
(a) Maximum kinetic energy of the emitted electrons,
(b) Stopping potential, and
(c) Maximum speed of the emitted photoelectrons?
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1 Answer
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11.2 Work function of cesium metal, = 2.14 eV
Frequency of light, = 6 Hz
The maximum kinetic energy is given by the photoelectric effect, = ,
Where = Planck’s constant = 6.626 Js, 1 eV = 1.602 J
= = 0.345 eV
For stopping potential , we can write the equation for kinetic energy as:
= , where e = charge of an electron =
or = = 0.345 V
Hence, the stopping potential is 0.345 V
Maximum speed of the emitted photoelectrons = v
Kinetic energy K = m , where m = mass of
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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
- (1)
Now, cases 2
h 5u0 = hu0 + k.E2
k.E2 = 4hu0
v2 =
v2 = 2v1
This is a Short Answer Type Questions as classified in NCERT Exemplar
Sol:
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