how many photons, with = 11 cm, must be absorbed to raise the temperature of your eye by 2.0°C?

Question

Exposure to high doses of microwaves can cause damage.

Estimate how many photons, with = 11 cm, must be absorbed to raise the temperature of your eye by 2.0°C.

(Assume the mass of an eye is 11 g and its heat capacity is 4.0 J/g·K. )

Answer 1

You can use E = h*nu to calculate the energy of one photon with the wavelength of 11 cm. nu = 2pi/lambda, where lambda is the wavelength, 11 cm.
Now you can use E = cm(T2-T1) to see now much energy is required to raise the temperature on an eye by 2 degrees. E = 11g * 4 J/g*K * 2 K = 88 J
Divide this number by energy of one photon you obtained earlier. This is the number of photons in question.

This is not the full solution, but I hope it's a good enough of a hint.