Two metallic s pheres of radii `R_(1)` and `R_(2)` are connected b y a thin wire. If `+q_(1)~ and `+q_(2)` are the charges on the two s pheres then

Question

Two metallic s pheres of radii `R_(1)` and `R_(2)` are connected b y a thin wire. If `+q_(1)~ and `+q_(2)` are the charges on the two s pheres then

Two metallic s pheres of radii `R_(1)` and `R_(2)` are connected b y a thin wire. If `+q_(1)~ and `+q_(2)` are the charges on the two s pheres then
A. `q_(1)// q_(2)=R_(1)^(2)//R_(2)^(2)`
B. `q_(1)//q_(2)=R_(1)//R_(2)`
C. `q_(1)//q _(2)=R_(1)^(3)//R_(2) ^(3)`
D. `q_(1)//q_(2)=(R_(1)^(2)-R_(2)^(2))//(R_(1)^(2)+R_(2)^(2))`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - 2
When the two metallic spheres are connected by a wire, they are at the saem potential for a spherical conductor capacitiy `C=4piepsilon_(0)R`. ltbr. `therefore` Potential `V=("charge")/("capacity")`
`therefore V_(1)=V_(2)`
or `(q_(1))/(4pi epsilon_(0)R_(1))=(q_(2))/(4piepsilon_(0)R_(2))`
`therefore (q_(1))/(q_( 2))=(R_(1))/(R_(2))`