1.

The thickness of air column which will have one more wavelength of yellow light (6000 Å) than in the same thickness of vaccum will be (refractive index of air is 1.0003) :

Answer»

2 MM
2 cm
2 m
2 km

Solution :Here `mu_(a) = 1.0003 = (lambda_(v))/(lambda_(a))`
Let there be .t. thickness having n waves in vaccum and (n+ 1) waves in air
`therefore t = n lambda_(v) = (n + 1) lambda_(a)` ....(1)
`therefore (lambda_(v))/(lambda_(a)) = ( n+ 1)/(n) = 1.0003`
or `1 + 1/n = 0.0003`
or `1/n = 0.0003`
`n = 1/0.0003` ....(2)
`therefore t = (1)/(0.0003) xx 6000 xx 10^(-10)`
or `t = 2 xx 10^(-3) = 2 mm`.


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