JEE Main & Advanced Physics Magnetic Effects of Current / करंट का चुंबकीय प्रभाव Question Bank Self Evaluation Test - Moving Charges and Mangetism

  • question_answer
    A cyclotron is operated at an oscillator frequency of 24 MHz and has a dee radius\[R=60cm\]. What is magnitude of the magnetic field B (in Tesla) to accelerate deuterons\[(mass=3.34\times {{10}^{-27}})kg\]?

    A) 9.5

    B) 7.2    

    C) 5.0 

    D) 3.2

    Correct Answer: D

    Solution :

    [d] Given: \[f=24\times {{10}^{6}}Hz,\,\,\,\,R=0.60m\] We know that,  \[R=\frac{mv}{qB}\] \[\therefore \,\,\,B=\frac{mv}{qR}\]                  ?..(i) where \[v=\omega R=2\pi fR\] \[=2\pi \times 24\times {{10}^{6}}\times 0.60=9.04\times {{10}^{7}}m/s\] From (i), \[B=\frac{(3.34\times {{10}^{-27}})(9.04\times {{10}^{7}})}{1.6\times {{10}^{-19}}\times 0.60}=3.2T\],


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