2. Sample Papers
  3. NEET

NEET Sample Paper NEET Sample Test Paper-53

  • question_answer
    Two loops P and Q are made from a uniform wire. The radii of P and Q are \[{{r}_{1}}\text{ }and\text{ }{{r}_{2}}\] respectively, and their moments of inertia are Ii and 12 respectively. If \[{{I}_{2}}=4{{I}_{1}}\], then \[{{r}_{2}}/{{r}_{1}}\] equals

    A) \[{{4}^{2/3}}\]                       

    B) \[{{4}^{1/3}}\]

    C) \[{{4}^{-2/3}}\]                      

    D) \[{{4}^{-1/3}}\]

    Correct Answer: B

    Solution :

    \[I=M{{R}^{2}}=\left( 2\pi RAd \right){{R}^{2}}\] \[or\text{ }\,I\,\,\propto \,\,{{R}^{3}}\] \[or\,\,\text{ }R\,\,\propto \,\,{{I}^{1/3}}\] \[or\,\,\,\frac{{{R}_{2}}}{{{R}_{1}}}={{\left( \frac{{{I}_{2}}}{{{I}_{1}}} \right)}^{1/3}}\,\,=\,\,{{\left( \frac{4}{1} \right)}^{1/3}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner