BVP Medical BVP Medical Solved Paper-2007

  • question_answer
    If two electric bulbs have 40 W and 60 W rating at 220 V, then the ratio of their resistances will be

    A)                  3 : 2                                      

    B)                  3 : 8

    C)                  4 : 3                                      

    D)                  9 : 4

    Correct Answer: A

    Solution :

                    Key Idea: The rate at which electrical energy is dissipated into other forms of energy is called electric power P. Electrical power \[={{\varepsilon }_{0}}\,\,E_{rms}^{2}\]               (V = iR) \[=8.85\times {{10}^{-12}}\times {{(720)}^{2}}\]                \[=4.58\times {{10}^{-6}}J/{{m}^{3}}\]where Vis potential difference, R is resistance. Given, \[{{10}^{-10}}s\]                 \[f=\frac{v}{v-{{v}_{s}}}f\] \[{{v}_{s}}\]        \[v=320m/s,\,{{v}_{s}}=4m/s,\,f=240Hz\] \[f=\frac{320}{320-4}\times 240\]             \[=243Hz\] Note: Higher the wattage of a bulb smaller is the resistance of its filament that is thicker is the filament.


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