Question

Луч света проходит в алмазе (с показателем преломления 2,2) путь равный 0,4м. Какое расстояние за то же время пройдет луч света в вакууме? скорость света в вакууме равна 3*10в8степени м/с

Answer 1

1  найдем скорость света в алмазе   V1 = С/n   n =2,2
t = L/V1=L*n/C - время света в алмазе
2) за это время свет в вакууме пройдет расстояние  L2 = C* t=
C*L*n/C= L*n=0,4*2,2=0,88 м - пройдет свет в вакууме

Answer 2

Calculation of the Distance Traveled by Light in Vacuum

To calculate the distance traveled by light in vacuum, we can use the formula:

distance = speed × time

Given that the speed of light in vacuum is 3 × 10^8 m/s and the time is the same as the time it takes for light to travel through the diamond, we can calculate the distance.

Calculation:

The path length of light through the diamond is given as 0.4 m and the refractive index of the diamond is 2.2.

To calculate the time it takes for light to travel through the diamond, we can use the formula:

time = distance / speed

Substituting the values, we get:

time = 0.4 m / (2.2 × 3 × 10^8 m/s)

Calculating this, we find:

time ≈ 6.06 × 10^-10 s

Now, we can calculate the distance traveled by light in vacuum using the formula:

distance = speed × time

Substituting the values, we get:

distance = (3 × 10^8 m/s) × (6.06 × 10^-10 s)

Calculating this, we find:

distance ≈ 1.82 × 10^-1 m

Therefore, the distance traveled by light in vacuum in the same time it takes to travel through the diamond is approximately 0.182 m.

Please note that the calculations provided are based on the given information and assumptions.