Question

Data Set 1 2 3 2 (nm) 650 460 542 ny 1.250 1.000 1.500 п, 1.548 1.333 1.224 o 55.0° 35.0° 40.0° 02 41.4 25.5 52.0 v (m/s) v (m/s) 0.80 0.65 1.00 0.75 0.67 0.82 sind, sind, 2 (nm) 0.82 0.66 0.57 0.43 0.64 0.79 7. Use the above data and complete the table below for the ratio's given. Record your values to 3 sig. figs. Data Set sino, 2 22 sine, п, ni 1.23 1.33 0.81 1.33 1.37 0.77 V1 V, 1.23 1.33 0.81 1 2 3 ratine across different data sets, write a complete

Answer 1

in the given data

$\lambda$₁ values are 650 , 460 , 542 nm

v₁ values are 0.8 , 1 , 0.67 m/sec

v₂ values are 0.65 , 0.75 , 0.82 m/sec

using equation f = v / $\lambda$

so v₁ / v₂ = $\lambda$ ₁ / $\lambda$ ₂

$\lambda$₂ = $\lambda$ ₁ v₂ / v₁

= 650 x 10^-9 x 0.65 / 0.8 = 528.125 nm next,

= 460 x 10^-9 x 0.75 / 1 = 345 nm next,

= 542 x 10^-9 x 0.82 / 0.67 = 663.343 nm

so $\lambda$ ₂ values are 528.125 nm ,345 nm , 663.343 nm

7 )

using relation

v₁ / v₂ = $\lambda$ ₁ / $\lambda$ ₂

v₁ / v₂ values are given is 1.23 , 1.33 , 0.81

so $\lambda$ ₁ / $\lambda$ ₂ values also 1.23 , 1.33 , 0.81