A) 4
B) 8
C) 5
D) 3
Correct Answer: C
Solution :
Let \[{{C}_{0}}\] be the capacity of capacitor without insulator and C its capacity with insulator. Then | ||
\[c=k{{C}_{0}}\](k = dielectric constant) charge q remains constant. | ||
\[\therefore \,\,\,\,\,\,\,u=\frac{1}{2}\frac{{{q}^{2}}}{c}\] | ...(1) | |
And \[U+4U=\frac{1}{2}\frac{{{q}^{2}}}{{{c}_{0}}}\] or \[5U=\frac{1}{2}\frac{{{q}^{2}}}{{{C}_{0}}}\] | ...(2) | |
From Equation (1) and (2), we get | ||
\[\frac{C}{{{C}_{0}}}=5\] or k=5 | ||
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