Relativistic corrections become necessary when the expression for the kinetic energy 1/2 mv2, becomes comparable with mc2. where m is the mass of the
At what de-Broglie wavelength, will relativistic corrections become important for an electron?
(a) A=10nm (b) A =10-1 nm (c) A=10-4 nm (d) A=10-6 nm
Relativistic corrections become necessary when the expression for the kinetic energy 1/2 mv2, becomes comparable with mc2. where m is the mass of the
At what de-Broglie wavelength, will relativistic corrections become important for an electron?
(a) A=10nm (b) A =10-1 nm (c) A=10-4 nm (d) A=10-6 nm
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1 Answer
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This is a Multiple Choice Questions as classified in NCERT Exemplar
Answer-(c,d)
Explanation-
V= h/m
V1=
V1=
V1=
V1=
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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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