Physics help urgent!

I dont understand what the mark scheme of q12 b means why cant thbeta radiation comes from electron in atomic nucleus? Why is it not good to have large energy and why energy is associated with wavelength?

Please help!
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Energy and wavelength are related. As wavelength decreases, energy increases. This can be shown mathematically by the equation:

c = wavelength*frequency

Where c is the speed of light.

Since c is a constant, if wavelength is small, frequency is large.

Also,

Energy = frequency*plank's constant

Therefore if frequency is large, energy is also large.

Therefore, if wavelength is small, energy is large.

But you would expect the potential energy near the nucleus to be very low, as high energy orbits are further from the nucleus. Such a high energy electron near the nucleus just doesn't make sense, because you would think that with such a high energy it would be able to escape the nucleus.

thank you
i have a confusion over the sue of equation like:

E=hf
c=f (lambda) (or v= f times lambda, when should I use c and when should i use v?)
Kinetic energy=(m*v^2)/2
einstein's photoelectric equation hf = Φ + E_{kmax'
which equation applies to photon only and which applies to electron only?}

You're right that c = f*lambda only applies for light, not electrons, but for electrons v = f*lambda, where v is the phase velocity of the electron.

For both electrons and photons, E = hf is true.

KE = 0.5mv^2 only applies for particles that have mass, like electrons, and doesn't apply to massless particles like photons.

thanks!

is einstein's photoelectric equation hf = Φ + E_{kmax' for electron also? cause I only encounter the equation in photoelectric effect .}