Light enters form air into a given medium at angle of 45° with interface of the air-medium surface. After refraction, the light ray is deviated through an angle of 15° from its original direction. The refractive index of the medium is

<p>Using snell’s law –</p><p>sin I =&nbsp;<math><mrow><mi>μ</mi><mi>s</mi><mi>i</mi><mi>n</mi><mtext> </mtext><mi>r</mi></mrow></math></p><p>sin45° =&nbsp;<math><mrow><mi>μ</mi><mi>s</mi><mi>i</mi><mi>n</mi><mn>3</mn><mn>0</mn><mo>°</mo></mrow></math></p><p><math><mrow><mi>μ</mi></mrow></math><math><mrow><mo>=</mo></mrow></math><math><mrow><mfrac><mrow><mi>s</mi><mi>i</mi><mi>n</mi><mn>4</mn><mn>5</mn></mrow><mrow><mi>s</mi><mi>i</mi><mi>n</mi><mn>3</mn><mn>0</mn></mrow></mfrac></mrow></math><math><mrow><mo>=</mo></mrow></math><math><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><mroot><mrow><mn>2</mn></mrow></mroot></mrow></mfrac></mrow></math><math><mrow><mo>×</mo></mrow></math><math><mrow><mn>2</mn></mrow></math><math><mrow><mo>=</mo></mrow></math>√2</p>

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