Problem

Problem

➤ Example 1 The region between x=0x = 0 and x=Lx = L is filled with uniform steady magnetic field −B0k-B_0 \boldsymbol{k}. A particle of mass mm, positive charge qq and velocity v0iv_0 \boldsymbol{i} travels along xx-axis and enters the region of the magnetic field. Neglect the gravity throughout the question. (a) Find the value of LL if the particle emerges from the region of magnetic field with its final velocity at an angle 30∘30^\circ to its initial velocity. (b) Find the final velocity of the particle and the time spent by it in the magnetic field, if the magnetic field now extends upto 2.1L2.1 L.

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