VITEEE 2017 Paper

In LCR series circuit, resonance frequency f0 is given by
Lω =

1

Cω

⇒ ω2 =

1

LC

∴ ω = √

1

LC

= 2πf0
∴ f0 =

1

2π√LC

or f0 α

1

√C

When the capacitance of the circuit is made 4 times, its resonant frequency become f0
∴

f0′

f0

=

√C

√4C

or f0′ =

f0

2