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%