Question

39. For a quantum wave particle energy (E) can be represented
(a) ħk
(b) hw
(c) hw/2
d) hk/2
​

Answer 1

Answer:

The answer is a Option D

Answer 2

Answer:

For a quantum wave-particle, energy can be represented as ħω i.e.(b).

Explanation:

In quantum mechanics, a quantum particle in a given system is treated as a wave particle.

In fact , they are assumed as wave packets which is a linear combination of several waves that interfere constructively.

the energy associated with such wave-particle is given as,

E=hν

E=energy

h=planks constant

ν=frequency

ν=ω/2π

ω=the angular frequency

on substituting the value of ν from equation 2, we get

E=hω/2π= ħω  

 ħ=h/2π

∴E= ħω