p35_050 - 50. (a) We use Eq. 35-8 (and Fig. 35-10(b) is...

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Unformatted text preview: 50. (a) We use Eq. 35-8 (and Fig. 35-10(b) is useful), with n1 = 1 (using the rounded-off value for air) and n2 = 1 . 5 . 1 1.5 1.5 − 1 + = p i r Using the sign convention for r stated in the paragraph following Eq. 35-8 (so that r = +6.0 cm), we obtain i = −90 cm for objects at p = 10 cm. Thus, the object and image are 80 cm apart. (b) The image distance i is negative with increasing magnitude as p increases from very small values to some value p0 at which point i → −∞. Since 1/(−∞) = 0, the above equation yields 1 1.5 − 1 = p0 r =⇒ p0 = 2r. Thus, the range for producing virtual images is 0 < p ≤ 12 cm. ...
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