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
Step 1: Identify the given values. The speed of light in air (c_air) is given as 3 × 10^8 \, m/s. The refractive index of light from air to water (n_water) is given as (4)/(3). Step 2: Use the formula for refractive index. The refractive index (n) of a medium is defined as the ratio of the speed of light in a vacuum (or air, as an approximation) to the speed of light in that medium (v). n = c_airv In this case, we are looking for the speed of light in water (v_water), so the formula becomes: n_water = c_airv_water Step 3: Rearrange the formula to solve for the speed of light in water. v_water = c_airn_water Step 4: Substitute the given values and calculate the speed of light in water. v_water = 3 × 10^8 \, m/s(4)/(3) v_water = (3 × 10^8 \, m/s) × (3)/(4) v_water = (9)/(4) × 10^8 \, m/s v_water = 2.25 × 10^8 \, m/s The correct value of the speed of light in water is 2.25 × 10^8 m/s.