Question

Show that planck's law of radiation can explain wien's law and rayleigh-jeans law.

Answer 1

PRESSURE IS INVERSELY PROPORTIONAL TO THE NUMBER OF DAYS LEFT FOR EXAM

Answer 2

Answer:

Planck's Law of radiation can explain Rayleigh-Jeans law if we take the low-frequency limit to increase the exponential and Wien's law if we disregard the 1 in the denominator while using the high-frequency limit.

Explanation:

• According to Planck's law, electromagnetic radiation from heated bodies emits in discrete energy units or quanta, the sizes of which depend on a fundamental physical constant (Planck's constant).
• Planck's Law for frequency from its law for wavelength is given as-
• u(f) = 8πf²/c³ × hf/e^hf/kt -1
• Taking the low-frequency limit, or hf<<kT, allows us to increase the exponential e^x = 1 + x + x²/2 + .....
• and if we ignore the higher order terms when truncating the series at x. The Rayleigh-Jeans law will be produced as a result.
• Next, we can disregard the 1 in the denominator if we use the high-frequency limit, where hf>>kT. Wien's law follows from this.

Thus, Planck's Law of radiation can explain Rayleigh-Jeans law if we take the low-frequency limit to increase the exponential and Wien's law if we disregard the 1 in the denominator while using the high-frequency limit.

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