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A long thick solid conductor has a cylindrical cavity of radius 1 m parallel to its axis at a distance of 2m from centre of cylinder. Cylinder have uniform surface current density J=106πA/m2k^ A charged particle of mass 0.1 kg and charge π coulomb is projected with velocity v at an angle of 60º as shown in figure. For what maximum v, particle is able to strike point B?

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a

8 m/s

b

6 m/s

c

4 m/s

d

5 m/s

answer is A.

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Detailed Solution

B inside the cavity is given as μ02j→×a→=0.4j^Inside the cavity particle will undergo helical path P=Vcosθ×2πmqB

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A long thick solid conductor has a cylindrical cavity of radius 1 m parallel to its axis at a distance of 2m from centre of cylinder. Cylinder have uniform surface current density J=106πA/m2k^ A charged particle of mass 0.1 kg and charge π coulomb is projected with velocity v at an angle of 60º as shown in figure. For what maximum v, particle is able to strike point B?