\textbf{176-} The energy of photon B is 25 percent less than the energy of photon A. If the difference in wavelength of these two photons is 50 nanometers, what is the frequency difference of these two photons? $\left(c = 3\times10^8\ \frac{\text{m}}{\text{s}}\right)$
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(1) $5\times10^{14}$ \hspace{1cm} (2) $2\times10^{14}$ \hspace{1cm} (3) $2\times10^{13}$ \hspace{1cm} (4) $5\times10^{13}$
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