when light passes through water, it’s velocity is reduced by 25%. If the speed of light in a vacuum is 1.86 x 10^5 miles per second, at what velocity does it travel through water? write your answer in scientific notation.

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WaywardDelaney WaywardDelaney · Answer 1 · 2020-01-13T17:58:15+01:00

Answer:

The speed of light in water is 1.395 × [tex]10^{5}[/tex] miles per hour .

Step-by-step explanation:

Given as :

The speed of light in a vacuum = [tex]v_1[/tex] = 1.86 × [tex]10^{5}[/tex] miles per sec

Let The speed of light in water = [tex]v_2[/tex] miles per hour

When light passes through water, its speed reduced by 25%

So, [tex]v_2[/tex] = 1.86 × [tex]10^{5}[/tex] miles per sec - 25% of [tex]v_1[/tex]

Or, [tex]v_2[/tex] = 1.86 × [tex]10^{5}[/tex] miles per sec - 25% × 1.86 × [tex]10^{5}[/tex] miles per sec

Or, [tex]v_2[/tex] = 1.86 × [tex]10^{5}[/tex] miles per sec ×( 1 - [tex]\dfrac{25}{100}[/tex])

Or, [tex]v_2[/tex] = 1.86 × [tex]10^{5}[/tex] miles per sec × [tex]\dfrac{75}{100}[/tex]

Or, [tex]v_2[/tex] = 1.86 × [tex]10^{5}[/tex] × 0.75

∴ [tex]v_2[/tex] = 1.395 × [tex]10^{5}[/tex] miles per hour

So, The speed of light in water = [tex]v_2[/tex] = 1.395 × [tex]10^{5}[/tex] miles per hour

Hence, The speed of light in water is 1.395 × [tex]10^{5}[/tex] miles per hour . Answer