JEE Main & Advanced Sample Paper JEE Main Sample Paper-43

  • question_answer
    In figure, if the surfaces are frictionless, the ratio \[{{T}_{1}}:{{T}_{2}}\] is

    A)  \[\sqrt{3}:2\]              

    B)  \[1:\sqrt{3}\]

    C)  1 : 5                           

    D)  5 : 1

    Correct Answer: D

    Solution :

     Let the common acceleration of the system of masses is a Then, for mass 12 kg  \[0=v-at\]                               ...(i) And for the mass 3 kg \[\therefore \]                            ...(ii) Put the value of \[-a=\frac{0-v}{t}=-\frac{v}{t}\] from Eq. (ii), in \[f=\mu R=\mu mg\] (i) \[a=\mu g\] \[\therefore \]    \[t=\frac{v}{a}=\frac{v}{g\mu }\] \[\eta =\frac{{{P}_{0}}}{{{P}_{i}}}\]       \[\therefore \]

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