-->

Motion In Straight Line

Question
CBSEENPH11016995

The light travels 100 m in vacuum and then 100 m in media in which velocity of light is 2.4 x 108 m/s. What is the average velocity of light?

Solution

Distance travelled by light in vacum is, S= 100m
Distance travelled by light in media is, S= 100m
Velocity of light in vacum is c = 3 x 108 m/s
Velocity of media is v = 2.4 x 10m/s
Time taken by light to cover 100m in vacum is,
straight t subscript 1 fraction numerator 100 over denominator 3 cross times 10 to the power of 8 end fraction equals 1 third straight x 10 to the power of negative 6 end exponent straight s
Time taken by light to cover 100m in media is,
straight t subscript 2 equals fraction numerator 100 over denominator 2.4 cross times 10 to the power of 8 end fraction equals 5 over 12 cross times 10 to the power of negative 6 end exponent straight s
Total time is given by, 
straight t equals straight t subscript 1 plus straight t subscript 2
space equals open parentheses 1 third plus 5 over 12 close parentheses cross times 10 to the power of negative 6 end exponent
space space equals 3 over 4 cross times 10 to the power of negative 6 end exponent straight s
 
Now average velocity is given by, 

top enclose straight v space equals fraction numerator 200 over denominator begin display style 3 over 4 cross times 10 to the power of negative 6 end exponent end style end fraction

space space space equals 8 over 3 cross times 10 to the power of 8 straight m divided by straight s