ch36-p095 - 95. (a) Since the resolving power of a grating...

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∆λ =− λλ f f c f 2 where f = c / λ is used. The negative sign means that an increase in frequency corresponds to a decrease in wavelength. We may interpret f as the range of frequencies that can be resolved and take it to be positive. Then, 2 c f Nm ∆= and f c Nm = λ . (b) The difference in travel time for waves traveling along the two extreme rays is t = L / c , where L is the difference in path length. The waves originate at slits that are separated by ( N – 1) d , where d is the slit separation and N is the number of slits, so the path difference is L = ( N – 1) d sin θ and the time difference is t Nd c = 1 bg sin . If N is large, this may be approximated by t = ( Nd / c ) sin . The lens does not affect the
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