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Q.

A given LCR series circuit satisfies the condition for resonance with a given AC source. If the angular frequency of the AC source is increased by 100% then in order to establish resonance, without changing the value of inductance, the capacitance must be

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a

increased by 100%

b

reduced by 50%

c

increased by 75%

d

reduced by 75%

answer is D.

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Detailed Solution

At resonance ω2=1LC-----1 if ω bcomes double  then 2ω2=1LC1-----2 Dividing we get C1= C/4 so it decreases by 75%
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