A) \[K:1\]
B) \[1:K\]
C) \[{{K}^{2}}:1\]
D) \[1:{{K}^{2}}\]
Correct Answer: A
Solution :
Force between two charges\[{{Q}_{1}}\]and\[{{Q}_{2}}\]is given by \[{{F}_{1}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{Q}_{1}}{{Q}_{2}}}{{{r}^{2}}}\] ???..(1) Now, dielectric is filled between two shells, then force \[{{F}_{2}}=\frac{1}{4\pi {{\varepsilon }_{0}}K}\frac{{{Q}_{1}}{{Q}_{2}}}{{{r}^{2}}}\] ???...(2) From Eqs. (1) and (2), we get \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{{{Q}_{1}}{{Q}_{2}}}{{{r}^{2}}}\times \frac{4\pi {{\varepsilon }_{0}}K{{r}^{2}}}{{{Q}_{1}}{{Q}_{2}}}=\frac{K}{1}\] \[{{F}_{1}}:{{F}_{2}}=K:1\]
You need to login to perform this action.
You will be redirected in
3 sec
