Quantum Universe - Chapter 6

Question 1

Wein’s displacement law

Answer 1

λmaxT = 2.89810^-3
λ = b/T

Question 2

Stefan’s Law

Answer 2

P=AσT^4

Question 3

Energy quantum radiation / Energy of photon

Answer 3

E=hf
E = hc/λ

Question 4

Energy balance of photo electron

Answer 4

Kmax = hf - Φ

Question 5

Cutoff frequency

Answer 5

F = Φ/h

Question 6

Relativistic invariant energy equation

Answer 6

E^2 = (pc)^2 + m0^2*c^4

Question 7

Energy momentum relation

Answer 7

E = mv
E = mc

Question 8

Compton wavelength of an electron

Answer 8

λc = h/(m0*c)

Question 9

Bohrs first quantisation condition

Answer 9

Ln = n*h-dash

Question 10

Bohrs second quantisation condition

Answer 10

hf = E0*(1/n^2 - 1/m^2)

Question 11

Bohrs radius of the nth orbit

Answer 11

rn = a0*n^2

Question 12

Ground state of hydrogen

Answer 12

E1 = -E0 = -13.6eV

Question 13

The nth energy of hydrogen like ion

Answer 13

En = -Z^2E0(1/n^2)

Question 14

Energy of matter wave

Answer 14

E = hf

Question 15

De broglie wavelength

Answer 15

λ = h/p = h/mv

Question 16

Heinsenburg uncertainty principle

Answer 16

ΔxΔp = 0.5h-dash

Question 17

Momentum and kinetic energy relation

Answer 17

P = sqrt(2mKE)

Question 18

Lyman α line

Answer 18

E0/hc*(1/2^2-1)
N=2

Question 19

H-α line

Answer 19

E0/hc*(1/3^2-1/2^2)
N=3 m=2

Question 20

Balmer series

Answer 20

N to N2

Question 21

Lyman series

Answer 21

N to n1

Question 22

Kinetic energy and mass relation

Answer 22

K1m1 = K2m2

Question 23

Paschen series

Answer 23

N to n3

Question 24

Bracket series

Answer 24

N to n4

Question 25

Name series in order

Answer 25

Lyman (UV)
Balmer (Visible)
Paschen (Infrared)
Bracket (Infrared)
Pfund (Infrared)