For harder X-rays,
(a) the wavelength is higher
(b) the intensity is higher
(c) the frequency is higher
(d) the photon energy is higher.

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Solution

(c) the frequency is higher
(d) the photon energy is higher

Harder X-rays are the X-rays having low wavelengths. Since the frequency varies inversely with the wavelength, hard X-rays have high frequency.
Energy of a photon $(E)$ is given by
$E = \frac{h c}{λ}$
Here,
h = Planck's constant
c = Speed of light
$λ$ = Wavelength of light.
Clearly, energy varies inversely with wavelength. Therefore, the energy of the photon will be higher for the hard X-ray.

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For harder X-rays, (a) the wavelength is higher (b) the intensity is higher (c) the frequency is higher (d) the photon energy is higher.

For harder X-rays,
(a) the wavelength is higher
(b) the intensity is higher
(c) the frequency is higher
(d) the photon energy is higher.