4. The median of the following frequency distribution is 35. Find the value of x.<br />[CBSE 2005 (SP), CBSE 2005 (D.B.)]<br />Income<br />0-10 10-20 20-30 30-40 40-50 50-60 60 - 70<br />Frequency 2 3 x<br />6 5 3 2<br />STATISTICS<br />CHAPTERWISE MATHEMATICS-X
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Given :
➾ Refractive index of water = 4/3
➾ Refractive index of glass = 3/2
To Find :
➨ Speed of light in each medium.
Concept :
➠ Refractive index of a medium is defined as the ratio of speed of light in vacuum to the speed of light in medium..
➠ It is an unitless as well as dimensionless quantity.
Mathematically,
✭ n = c / v
where,
➛ c denotes speed of light in vacuum
➛ v denotes speed of light in medium
➛ n denotes refractive index of medium
Calculation :
◈ Speed of light in water :
⇒ n = c / v
⇒ 4/3 = 3×10^8
8
/ v
⇒ v = 2.25 × 10^8
8
m/s
◈ Speed of light in glass :
⇒ n' = c / v'
⇒ 3/2 = 3×10^8
8
/ v'
⇒ v' = 2 × 10^8
8
m/s
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