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The answer to each of the following questions is a single-digit integer ranging from 0 to 9. Darken the correct digit. There is one charged metallic sphere of radius R. The charge is uniformly distributed over its surface. Let U_(1) be the energy stored in the region from radius R (surface) up to the radius 2R and U_(2) be the total energystored outside this sphere. Calculate U_(2)//U_(1). |
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Answer» `U_(2)=(Q^(2))/(8pi epsilon_(0)R)"" …(i)` Using the same formula we can write energy stored outside the metallic sophere of radius 2R as follows: `U.=(Q^(2))/(8pi epsilon_(0)(2R))=(Q^(2))/(16pi epsilon_(0)R)"" ...(ii)` Hence energystored in between radius R and 2R can be written as follows: `U_(1)=U_(2)-U.=(Q^(2))/(8pi epsilon_(0)R)-(Q^(2))/(16pi epsilon_(0)R)=(Q^(2))/(16pi epsilon_(0)R)"" ...(iii)` Now dividing equation (iii) and (i) We get `U_(2)//U_(1)=2`. |
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