The softest sound a human ear can hear is at 0 dB (I₀ = 10⁻¹² W/m²). Sounds above 130 dB cause pain. A particular student's eardrum has an area of A = 51 , mm².

a) Determine the sound intensity in W/m².
b) Calculate the sound power received by the student's eardrum.
c) Determine if a sound of 120 dB is painful for this student.