RAJASTHAN PMT Rajasthan - PMT Solved Paper-1997

  • question_answer
    Refractive index of glass is 3/2 and that of water is 4/3. If speed of light in glass is 2x 108 m/s, then speed of light in water is:

    A)  \[2.67\,\times {{10}^{8}}\,m/s\]

    B)  \[2.67\,\times {{10}^{-2}}\,m/s\]

    C)         \[2\times {{10}^{8}}\,m/s\]       

    D)  \[2.25\,\times {{10}^{8}}\,m/s\]

    Correct Answer: D

    Solution :

    According to \[n=\frac{c}{\upsilon }\] \[\therefore \]  \[c=n\upsilon \] \[\therefore \]  \[{{n}_{1}}{{\upsilon }_{1}}={{n}_{2}}{{\upsilon }_{2}}\]                 \[\frac{3}{2}\times 2\times {{10}^{8}}=\frac{4}{3}\times \upsilon \]                 \[\upsilon =2.25\times {{10}^{8}}m/s\]


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