JEE Main & Advanced Physics NLM, Friction, Circular Motion Question Bank Self Evaluation Test - Laws of Motion

  • question_answer
    Two blocks of masses m and M are connected by means of a metal wire of cross-sectional area a passing over a frictionless fixed pulley as shown in the figure. The system is then released. If \[M=2\], then the tension per unit crossectional area produced in the wire is

    A) \[\frac{2mg}{3A}\]  

    B) \[\frac{4mg}{3A}\]

    C) \[\frac{mg}{A}\]    

    D) \[\frac{3mg}{4A}\]

    Correct Answer: B

    Solution :

    [b] Tension in the wire, \[T=\left( \frac{2mM}{m+M} \right)g\] \[=\frac{\text{Force/Tension}}{\text{Area}}=\frac{2mM}{A\left( m+M \right)}g\] \[=\frac{2\left( m\times 2m \right)g}{A\left( m+2m \right)}=\frac{4{{m}^{2}}}{3mA}g=\frac{4mg}{3A}\] \[\left( M=2m\text{ given} \right)\]


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