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MHT-CET When the same monochromatic ray of light travels through water, the number of waves in glass slab of thickness 6 cm is same as in

water column of height  7 cm. If refractive index of water is

  1. 1.269

  2. 1.286

  3. 1.259

  4. 1.310

Answers (1)
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It is given that wave number in 6cm of glass is the same as the wave number in water with height 7 cm.

Let \lambda _{g} is wavelength of light in glass and \lambda _{w}  is wavelength of light in water.

According to question, \frac{6}{\lambda _{g}} = \frac{7}{\lambda _{w}} \Rightarrow \frac{\lambda _{w}}{\lambda _{g}} = \frac{7}{6}

Also we know that relation between refractive index and wavelength, \frac{\mu _{g}}{\mu _{w}} = \frac{\lambda _{w}}{\lambda _{g}}

Putting values, \frac{1.5}{\mu _{w}} = \frac{7}{6} \Rightarrow \mu _{w} = 1.286

Option (2) is correct

 

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