NEET Sample Paper NEET Sample Test Paper-56

  • question_answer
    A magnetic needle suspended parallel to a magnetic field require \[\sqrt{3}J\] of work to turn it through\[60{}^\circ \]. The torque needed to maintain the needle in this position will be:

    A) \[2\sqrt{3}J\]                 

    B) \[3J\]     

    C) \[\sqrt{3}J\]                  

    D) \[\frac{3J}{2}\]

    Correct Answer: B

    Solution :

    [b] \[W=MB\,[cos{{\theta }_{1}}-cos{{\theta }_{2}}]\] \[=MB\,\,[cos{{0}^{0}}-cos{{60}^{0}}]\,\therefore {{\theta }_{1}}=0,{{\theta }_{2}}=60\] \[W=MB\,\left[ \frac{1}{2} \right]\] \[MB=\,2W\] \[MB=\,\,=2\sqrt{3}\therefore W=\sqrt{3}\] \[\tau =MB\,\cos \theta \,(\theta ={{60}^{0}})\] \[\tau =MB\,\sin \,{{60}^{0}}\] \[\tau =\frac{\sqrt{3}}{2}MB\] \[\tau =\frac{\sqrt{3}}{2}\times 2\sqrt{3}\] \[\tau =3J\]


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