Física volume único - Parte 112

Lei de Snell-Descartes na * sen(i) = nb * sen(r) A6 i = 60° r = 30° na = 1 na * sen(i) = nb * sen(r) sen(60°) = nb * sen(30°) nb/2 = $\sqrt{ 3 }$/2 nb = $\sqrt{ 3 }$ A7 r = 45° i = 30° na * sen(i) = nb * sen(r) na * sen(30°) = nb * sen(45°) na/2 = nb$\sqrt{ 2 }$/2 na = nb$\sqrt{ 2 }$ nb/na = 1/$\sqrt{ 2 }$ n$_{ba}$ = $\sqrt{ 2 }$/2 A8 nl * sen(i) = na * sen(r) nl * sen(i) = sen(r) nl * 0,75 = 1 nl = 1/0,75 nl = 4/3 nl = 1,33 A9 na = 1 nv = ? nva = nv/na na * sen(i) = nv * sen(r) sen(i) = (3 cm)/R sen(r) = (2 cm)/R na * (3 cm)/R = nv * (2 cm)/R na * 3 = nv * 2 nv/na = 3/2 n$_{va}$ = 1,5 V6 i = 45° r = 60° nb = $\sqrt{ 2 }$ na * sen(45°) = $\sqrt{ 2 }$ * sen(60°) na * $\sqrt{ 2 }$/2 = $\sqrt{ 2 }$ * $\sqrt{ 3 }$/2 na * 1/2 = $\sqrt{ 3 }$/2 na = $\sqrt{ 3 }$ V7 na * sen(60°) = nl * sen(30°) na * $\sqrt{ 3 }$/2 = nl/2 na * $\sqrt{ 3 }$ = nl na/nl = 1/$\sqrt{ 3 }$ n$_{al}$ = $\sqrt{ 3 }$/3 V8 nv * sen(i) = n * sen(r) sen(i) = n * sen(r) 1 = 0,5n n = 1/0,5 n = 2 V9 nba = nb/na na * sen(i) = nb * sen(r) sen(i) = 3/5 sen(r) = 4/5 na * 3/5 = nb * 4/5 na * 3 = nb * 4 nb/na = 3/4 nb/na = 0,75 R5 nva = nv/na nv * sen(i) = na * sen(r) nv * sen(30°) = na * sen(45°) nv/2 = na$\sqrt{ 2 }$/2 nv = na$\sqrt{ 2 }$ nv/na = $\sqrt{ 2 }$ R6 i = 30° r = 45° na = 1 c = 3 * 10⁸ m/s n * sen(i) = na * sen(r) n * sen(30°) = sen(45°) n/2 = $\sqrt{ 2 }$/2 n = $\sqrt{ 2 }$ n = c/v v = c/n v = 3 * 10⁸ m/s * $\sqrt{ 2 }$/2 v = 1,5$\sqrt{ 2 }$ * 10⁸ m/s v = 2,1 * 10⁸ m/s R7 c = 3 * 10⁸ m/s na * sen(60°) = nl * sen(30°) $\sqrt{ 3 }$/2 = nl/2 nl = $\sqrt{ 3 }$ [d] R8 nl = 1,6 na * sen(r) = nl * sen(i) 4/5 = 1,6 * sen(i) sen(i) = 1/2 1/2 = 3,5/H H/2 = 3,5 H = 7 $\sqrt{ 3 }$/2 = h/7 h = 3,5 * $\sqrt{ 3 }$ h = 6,062177826 [c] R9 i = 90° sen(i) = 1 na * sen(i) = nm * sen(r) sen(i) = 4/3 * sen(r) sen(r) = 3sen(i)/4 sen(r) = 3/4 sen(r) = 0,75 r = 50° A10 [c] A11 Raio 2 A12 i = 60° na = $\sqrt{ 2 }$ nb = $\sqrt{ 3 }$ b) na * sen(i) = nb * sen(r) $\sqrt{ 2 }$ * $\sqrt{ 3 }$/2 = $\sqrt{ 3 }$ * sen(r) sen(r) = $\sqrt{ 2 }$/2 r = 45°