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?

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

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?

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 $J = \frac{10^{6}}{π} A / m^{2} \hat{k}$ 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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6 m/s

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answer is A.

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Detailed Solution

B inside the cavity is given as $\frac{μ_{0}}{2} (\vec{j} \times \vec{a}) = 0.4 \hat{j}$
Inside the cavity particle will undergo helical path $P = V \cos θ \times \frac{2 π m}{q B}$

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