This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
To find the time it takes for a pulse of light to pass through the glass plate, we first need to calculate the speed of light within the glass. Step 1: Convert the thickness of the plate to meters. The thickness (d) is given as 0.9 cm. d = 0.9 cm × 1 m100 cm = 0.009 m = 9.0 × 10^-3 m Step 2: Calculate the speed of light (v) in the glass plate. The refractive index (n) is defined as the ratio of the speed of light in a vacuum (c) to the speed of light in the medium (v). n = (c)/(v) We are given n = 1.50 and c = 3.0 × 10^8 m/s. Rearrange the formula to solve for v: v = (c)/(n) v = 3.0 × 10^8 m/s1.50 v = 2.0 × 10^8 m/s Step 3: Calculate the time (t) it takes for the light to pass through the plate. Time is calculated by dividing the distance (thickness of the plate) by the speed. t = (d)/(v) t = 9.0 × 10^-3 m2.0 × 10^8 m/s t = (9.0)/(2.0) × 10^-3-8 s t = 4.5 × 10^-11 s Comparing this result with the given options: A. 3.0 × 10^-10 s B. 4.5 × 10^-11 s C. 3.0 × 10^-11 s D. 4.5 × 10^-10 s The correct option is B. The time taken is: B. 4.5 × 10^-11 s What's next?