1.

A unit positive point charge of mass m is projected with a velocity V inside the tunnel as tunnel as shown.  The tunnel has been made inside a uniformly charged nonconducting sphere (charge density\[\rho \]). The minimum velocity with which the point charge should be projected such that it can reach the opposite end of the tunnel is equal to    

A. \[{{[\rho {{R}^{2}}/4m{{\varepsilon }_{0}}]}^{1/2}}\]
B.             \[{{[\rho {{R}^{2}}/24m{{\varepsilon }_{0}}]}^{1/2}}\]
C.             \[{{[\rho {{R}^{2}}/6m{{\varepsilon }_{0}}]}^{1/2}}\]
D.             zero because the initial and the final points are        at some potential             
Answer» B.             \[{{[\rho {{R}^{2}}/24m{{\varepsilon }_{0}}]}^{1/2}}\]


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