BHU PMT BHU PMT Solved Paper-2004

  • question_answer
    The focal lengths for violet, green and red light rays are \[{{f}_{V}}\], \[{{f}_{C}}\] and \[{{f}_{R}}\] respectively. Which of the following is the true relationship?                                                                                                                               [BHU PMT-2004]

    A)  \[{{f}_{R}}<{{f}_{G}}<{{f}_{V}}\]                             

    B)  \[{{f}_{V}}<{{f}_{G}}<{{f}_{R}}\]

    C)  \[{{f}_{G}}<{{f}_{R}}<{{f}_{V}}\]                             

    D)  \[{{f}_{G}}<{{f}_{V}}<{{f}_{R}}\]

    Correct Answer: B

    Solution :

                     From lens formula, we have                                                 \[\frac{1}{f}=\left( \mu -1 \right)\left( \frac{1}{{{R}_{1}}}-\frac{1}{{{R}_{2}}} \right)\] \[\Rightarrow \]                               \[\frac{1}{f}\propto \,u\] Since, \[{{\mu }_{V}}>{{\mu }_{G}}>{{\mu }_{R}}\] Therefore, \[{{f}_{V}}>{{f}_{G}}>{{f}_{R}}.\]


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