Answer:
(a) 16.777 miles
(b) Yes, he exceeded the speed limit
Explanation:
(a)
We need to perform the necessary calculations to convert kilometers to miles:
Thus, the distance of the trip in miles is:
(b)
Next, we will compute the man's speed during the journey:
Before that, we must convert minutes to hours:
The resulting speed is:
Consequently:
Thus, it can be concluded that the driver was speeding
Final displacement equals +24484.5 nm. The path difference observed with red light (λ1 = 656.3 nm) with 158 bright spots can be represented as: Δr = 2d2 - 2d1 = 150λ1, leading to the equation 2d2 - 2d1 = 150λ1. Dividing both sides results in: d2 - d1 = 75λ1 - - - - eq1, with d1 being the distance from the beam splitter to the fixed mirror, and d2 indicating the position of the movable mirror when 158 bright spots appear. Then, with 114 bright spots, the path difference is Δr = 2d'2 - 2d1 = 114λ1, simplifying to 2d'2 - 2d1 = 114λ1. Subsequent division gives: d'2 - d1 = 57λ1, where d'2 is the revised position of the movable mirror. The displacement of the movable mirror, (d2 - d'2), can be calculated by subtracting eq2 from eq1, leading to: d2 - d'2 = 75λ1 - 57λ2, with λ1 equal to 656.3 nm and λ2 equal to 434.0 nm. Finally, this gives d2 - d'2 = 75(656.3) - 57(434), resulting in +24484.5 nm.
