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Physics Question on Capacitors and Capacitance

The natural frequency of an LC - circuit is 1,25,000 cycles per second. Then the capacitor C is replaced by another capacitor with a dielectric medium of dielectric contant k. In this case, the frequency decreases by 25 kHz. The value of k is

A

3

B

2.1

C

1.56

D

1.7

Answer

1.56

Explanation

Solution

n=12πLC;n1n2=C2C1=Kccn=\frac{1}{2\pi \sqrt{LC}};\frac{n_1}{n_2}=\sqrt{\frac{C_2}{C_1}}=\sqrt{\frac{Kc}{c}} n1n2=K\frac{n_1}{n_2}=\sqrt{K}