10th Class Science Solved Paper - Science-2016 Outside Delhi Set-III

  • question_answer
    The refractive indices of glass and water with respect to air are 3/2 and 4/3 respectively. If speed of light in glass is \[2\times {{10}^{8}}\,m/s,\] find the speed of light in water.

    Answer:

    Refractive index of a medium
                                        \[\text{=}\frac{\text{Speed of light in air}}{\text{Speed of light in the medium}}\]
                For glass,
                                        \[\frac{\text{3}}{\text{2}}\text{=}\frac{\text{Speed of light in air}}{\text{2 }\times \text{ 1}{{\text{0}}^{\text{8}}}}\]
                Speed of light in air \[=\frac{3}{2}\times \mathrm{ }2\times \mathrm{ }{{10}^{8}}=3\mathrm{ }\times \mathrm{ }{{10}^{8}}\mathrm{ }m/s\]
                \[\text{Speed of light in water = 3}\,\,\times \,\text{1}{{\text{0}}^{\text{8}}}\,\times \frac{\text{3}}{\text{4}}\,\text{=}\,\text{2}\text{.25}\,\times \text{1}{{\text{0}}^{\text{8}}}\text{m/s}\]


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