A system has two normal modes of vibration, with frequencies @, and @₂ = 2w₁ . What is the probability that at temperature T, the system has an energy less than 4ħw, ? [In the following x = e-hand Z is the partition function of the system.] 3/2 (a) x³/²(x+2x²)/ Z (b) x³/² (1+x+x²) / Z 3/2 3/2 (c) x ³/² (1+2x²)/Z (d) x³/² (1+x+2x²)/Z
A system has two normal modes of vibration, with frequencies @, and @₂ = 2w₁ . What is the probability that at temperature T, the system has an energy less than 4ħw, ? [In the following x = e-hand Z is the partition function of the system.] 3/2 (a) x³/²(x+2x²)/ Z (b) x³/² (1+x+x²) / Z 3/2 3/2 (c) x ³/² (1+2x²)/Z (d) x³/² (1+x+2x²)/Z
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![A system has two normal modes of vibration, with frequencies @, and @₂ = 2w₁ . What
is the probability that at temperature T, the system has an energy less than 4ħw, ?
[In the following x = e¯h and Z is the partition function of the system.]
3/2
3/2
(a) x²
x³/²(x + 2x²) / Z
(b) x
x ³/² (1+x+x²) / Z
3/2
3/2
(c) x ³/² (1+2x²)/Z
(d) x ³/² (1+x+ 2x² ) / Z](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc1bd6b64-9689-4ddb-80a0-c3c9eaae056f%2F229b8c38-766b-4ddd-be12-99a42f5e00dc%2F5s4k81e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A system has two normal modes of vibration, with frequencies @, and @₂ = 2w₁ . What
is the probability that at temperature T, the system has an energy less than 4ħw, ?
[In the following x = e¯h and Z is the partition function of the system.]
3/2
3/2
(a) x²
x³/²(x + 2x²) / Z
(b) x
x ³/² (1+x+x²) / Z
3/2
3/2
(c) x ³/² (1+2x²)/Z
(d) x ³/² (1+x+ 2x² ) / Z
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