%3Cp%3EA%20proton%20is%20located%20at%20a%20distance%20of%20%3Cspan%20class%3D%0
ID: 2296832 • Letter: #
Question
%3Cp%3EA%20proton%20is%20located%20at%20a%20distance%20of%20%3Cspan%20class%3D%0A%22c1%22%3E0.440%3C%2Fspan%3E%20m%20from%20a%20point%20charge%20of%20%2B8.30%20%3Cspan%20class%3D%0A%22c2%22%3E%3F%3C%2Fspan%3EC.%20The%20repulsive%20electric%20force%20moves%20the%20proton%20until%0Ait%20is%20at%20a%20distance%20of%20%3Cspan%20class%3D%22nobr%22%3E%3Cspan%20class%3D%0A%22c1%22%3E1.57%3C%2Fspan%3E%20m%3C%2Fspan%3E%20from%20the%20charge.%20Suppose%20that%20the%0Aelectric%20potential%20energy%20lost%20by%20the%20system%20were%20carried%20off%20by%20a%0Aphoton.%20What%20would%20be%20its%20wavelength%3F%3Cbr%20%2F%3E%0A%3Cspan%20class%3D%22qTextField%22%3E%3Cinput%20name%3D%22RN_2206689_7_0_2206721%22%0Avalue%3D%221.01e-20%22%20size%3D%2210%22%20id%3D%22RN_2206689_7_0_2206721%22%20dir%3D%22ltr%22%0Atype%3D%22text%22%20%2F%3E%3C%2Fspan%3E%20%3Cspan%20id%3D%22RN_2206689_7_0_2206721_mark%22%20class%3D%0A%22waMark%20single%20mIncorrect%22%3E%3Cspan%20class%3D%22badgeWrap%22%3E%3Cspan%20class%3D%0A%22badge%20container%22%3E%20%3C%2Fspan%3E%3C%2Fspan%3E%3C%2Fspan%3Enm%20Help%20please%3C%2Fp%3E%0A%3Cp%3E%3Cbr%20%2F%3E%3C%2Fp%3E%0A%3Cp%3EI've%20tried%20this%20EPE%3D%20ex%20kq%2Fr%20%26nbsp%3B%20%26nbsp%3B%20Ep1%3D%0A(1.6e-19*8.99e9*8.3e-6)%2F.440e-9%3D%202.71e-14%20Ep2%3D%0A(1.6e-19*8.99e9*8.3e-6)%2F1.57e-9%3D7.604e-15%26nbsp%3B%3C%2Fp%3E%0A%3Cp%3EDeltaE%3D%20%26nbsp%3B%20%26nbsp%3B1.95e-14C%20%26nbsp%3B%20lambda%3D%20hc%2FdeltaE%20%26nbsp%3B%0ALambda%3D%206.63e-34*3.0e8%2F1.95e-14%20%3D%201.02e-11%20this%20is%20wrong%20also%20but%20I%0Athen%20tried%20to%20convert%20to%20nm%20and%20got%201.01e-20.%20help%20%26nbsp%3B%20%26nbsp%3B%0A%26nbsp%3B%20%26nbsp%3B%20%26nbsp%3B%20%26nbsp%3B%20%26nbsp%3B%20%26nbsp%3B%20%26nbsp%3B%3C%2Fp%3E%0AExplanation / Answer
potential energy losy by the system is
dU = 9x10^9 q [ 1/d1 - 1/d2 ] ev = 9x10^9x8.3x10^-6 [1/0.44 - 1/1.57]
= 0.122 ev
then wavelength of photon lambda = 12400 / energy lost
= 12400 / 0.122
= 101639.34 A^o (angstroms)
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