Answer:
4.674 cm
Explanation:
refractive index of ice μ₁ = 1.309
refractive index of quartz μ₂ = 1.544
Velocity of light in ice v₁ = c/μ₁
= 3 x 10⁸ / 1.309
= 2.292 x 10⁸
Velocity of light in quartz v₂ = c/μ₂
= 3 x 10⁸ / 1.544
= 1.943 x 10⁸
Total time taken by light to pass through ice
= 2.12 x 10⁻²/ (2.292 x 10⁸ )
= .92 x 10⁻¹⁰ s
Total time taken by light to pass through quartz
= 1.24 x 10⁻²/ (1.943 x 10⁸ )
= .638 x 10⁻¹⁰ s
Total time taken
= .92 x 10⁻¹⁰ + .638 x 10⁻¹⁰
= 1.558 x 10⁻¹⁰ s
velocity of light in vacuum
= 3 x 10⁸ m /s
distance travelled in 1.558 x 10⁻¹⁰ s
= 3 x 10⁸ x 1.558 x 10⁻¹⁰
= 4.674 x 10⁻² m
4.674 cm
