(a) what wavelength photon would you need to ionize a hydrogen atom (ionization energy = 13.6 ev)? (b) compute the temperature of the blackbody whose spectrum peaks at wavelength you found in (a).

(a). The wavelength of photon is 914 A.

(b). The temperature of the black body whose spectrum peaks at wavelength is 31706.78 K.

Explanation:

Given that,

Ionization energy = 13.6 eV

(a). We need to calculate the wavelength

Using formula of wavelength

Where, h = Planck constant

c = speed of light

E = energy

Put the value into the formula

The wavelength of photon is 914 A.

(b). We need to calculate the temperature of the black body whose spectrum peaks at wavelength

Using Wien's displacement law

Put the value of wavelength

The temperature of the black body whose spectrum peaks at wavelength is 31706.78 K.

Hence, This is the required solution.

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