Physics

Physics

Problem

A combination is made of two lenses of focal lengths ff and f′f' in contact; the dispersive powers of the materials of the lenses are ω\omega and ω′\omega'. The combination is achromatic when: (a) ω=ω0,ω′=2ω0,f′=2f\omega = \omega_0, \omega' = 2\omega_0, f' = 2f (b) ω=ω0,ω′=2ω0,f′=f/2\omega = \omega_0, \omega' = 2\omega_0, f' = f/2 (c) ω=ω0,ω′=2ω0,f′=−f/2\omega = \omega_0, \omega' = 2\omega_0, f' = -f/2 (d) ω=ω0,ω′=2ω0,f′=−2f\omega = \omega_0, \omega' = 2\omega_0, f' = -2f

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