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NEET Sample Paper NEET Sample Test Paper-79

  • question_answer
    In the figure shown,\[{{\operatorname{m}}_{1}}\,\,=\,\,10\,kg,\,\,\,{{m}_{2}}\,\,=\,\,6\,kg\],\[{{\operatorname{m}}_{3}}\,=\,\,4\,kg\]. If \[{{\operatorname{T}}_{3}}= 40 N\], then \[{{\operatorname{T}}_{2}}\] is  

    A)  13 N                           

    B)  32N

    C)  25 N               

    D)  35 N

    Correct Answer: B

    Solution :

                    Let a be the acceleration of each blocks. Then, \[{{\operatorname{T}}_{3}}=\left( {{m}_{1}}+{{m}_{2}}+{{m}_{3}} \right)a\]                                    ? (i) and \[{{\operatorname{T}}_{2}}=\left( {{m}_{1}}+{{m}_{2}} \right)a\]                         ... (ii) From Eqs. (i) and (ii), we get \[{{\operatorname{T}}_{2}}=\left( \frac{{{m}_{1}}+{{m}_{2}}}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}} \right)\,\times \,{{T}_{3}}\] \[=\,\,\,\,\left( \frac{10+6}{10+6+4} \right)\,\,\times \,\,40\] \[=\,\,\,32\,\,N\]


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