Quantization Of Energy
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Quantization of energy
Since n can have only integral values equal to 1,2,3 etc, therefore from equation it follows that the energy E associated with the motion of a particle in a box can have only discrete values i.e., the energy is quantized.
n = 4 E4 =16h2/8ma2
n = 3 E3 = 9h2/8ma2
n = 2 E2 = 4h2/8ma2
n = 1 E1 = h2/8ma2
The integer n is called the quantum number of the particle.
Further putting n=1,2,3.... tainted of the particle of mass m confined in the box of length a are shown in fig. It is important to noted that separation of energy levels also depends upon the box light a. As a increases, i.e., the space available to a particle increases, energy quanta become smaller and energy levels move closer together. If the box light becomes very large, quantization disappears and there is a smooth transition from quantum behavior to classical behavior. This is called correspondence principle given by Bohr.
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n = 4 E4 =16h2/8ma2
n = 3 E3 = 9h2/8ma2
n = 2 E2 = 4h2/8ma2
n = 1 E1 = h2/8ma2
The integer n is called the quantum number of the particle.
Further putting n=1,2,3.... tainted of the particle of mass m confined in the box of length a are shown in fig. It is important to noted that separation of energy levels also depends upon the box light a. As a increases, i.e., the space available to a particle increases, energy quanta become smaller and energy levels move closer together. If the box light becomes very large, quantization disappears and there is a smooth transition from quantum behavior to classical behavior. This is called correspondence principle given by Bohr.
For more help in Quantization of energy click the button below to submit your homework assignment