if a molecules in a solid has a temp of T = hf/2k then what would be the average energy of vibration
1) 0.88kT
2) 0.47kT
3) 0.62kT
4) 0.31kT
. 47kt
.88kt
To calculate the average energy of vibration for a molecule in a solid, we can use the given equation T = hf/2k. Here, T is the absolute temperature, h is the Planck's constant, f is the frequency of vibration, and k is the Boltzmann constant.
To find the average energy of vibration, we need to consider the energy of a single quantum, which is given by E = hf. Dividing this expression by 2k, we get:
E_average = (hf) / (2k)
Now, we substitute the value of T = hf/2k into this equation:
E_average = T
So, the average energy of vibration is equal to the temperature T. Therefore, the answer to the question is option 1) 0.88kT.