Chapter 25

Top $1\text{.}\text{715 m}$ from floor, bottom $0\text{.}\text{825 m}$ from floor. Height of mirror is $0\text{.}\text{890 m}$, or precisely one-half the height of the person.

$2\text{.}\text{25}\times {\text{10}}^8\text{m/s}$ in water

$2\text{.}\text{04}\times {\text{10}}^8\text{m/s}$ in glycerine

$1\text{.}\text{490}$, polystyrene

$1\text{.}\text{28 s}$

$\mathrm{1.03\; ns}$

$n=1\text{.}\text{46}$, fused quartz

(a) 0.898

(b) Can’t have $n<1\text{.}\text{00}$ since this would imply a speed greater than $c$.

(c) Refracted angle is too big relative to the angle of incidence.

(a) $\frac{c}{5\text{.}\text{00}}$

(b) Speed of light too slow, since index is much greater than that of diamond.

(c) Angle of refraction is unreasonable relative to the angle of incidence.

$\text{66}\text{.}\mathrm{3º}$

$>1\text{.}\text{414}$

1.50, benzene

$\text{46}\text{.}\mathrm{5º}\text{, red; 46}\text{.}\mathrm{0º}\text{, violet}$

(a) $0\text{.}\text{043º}$

(b) $1\text{.}\text{33 m}$

$\text{71.3º}$

$\text{53.5º}\text{, red;}$ $\text{55.2º}\text{, violet}$

$\text{5.00 to 12.5 D}$

$-\mathrm{0.222\; m}$

(a) 3.43 m

(b) 0.800 by 1.20 m

(a) $-1\text{.}\text{35 m}$ (on the object side of the lens).

(b) $+\text{10}\text{.}0$

(c) 5.00 cm

44.4 cm

(a) 6.60 cm

(b) –0.500

(a) $+7\text{.}\text{50 cm}$

(b) $\text{13}\text{.}\text{3 D}$

(c) Much greater

(a) +6.67

(b) +20.0

(c) The magnification increases without limit (to infinity) as the object distance increases to the limit of the focal distance.

$-0\text{.}\text{933 mm}$

+0.667 m

(a) $\mathrm{–1.5}\times {10}^{\mathrm{–2}}\text{m}$

(b)$\mathrm{–66.7\; D}$

+0.360 m (concave)

(a) +0.111

(b) -0.334 cm (behind “mirror”)

(c) 0.752cm

$\text{6.82 k}{\text{W/m}}^2$

(a) $\begin{array}{l}{v}_{610}=\frac{3.00\times {10}^8}{1.530}\text{m/s, }{v}_{410}=\frac{3.00\times {10}^8}{1.514}\text{m/s}\\ \text{3}\text{.00}\times {\text{10}}^8\left(\frac{1}{1.514}-\frac{1}{1.530}\right)\text{m/s}=2.07\times {10}^6\text{ m/s}\end{array}$

(b) No.

(c) No.

(d) Yes.