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Q.

Resonance occurs in a series L-C-R circuit when the frequency of the applied emf is 1000 Hz. Then :

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a

when f=900 Hz, the circuit behaves as a capacitative circuit

b

the impedance of the circuit is maximum at f=1000 Hz

c

at resonance the voltage across L and voltage across C differ in phase by 180°

d

if the value of C is doubled resonance occurs at f=2000 Hz

answer is A, C.

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Detailed Solution

At resonance XL=XC and Z=Zmin=R

XL=ωL and 1ωC=XC

If ‘f ’ is decreased then ‘ω’ will decrease and hence XC will increase therefore at f<fr, circuit behaves as capacitive.
VL and VC always difference in phase by 180° at any frequency.

If C" = 2C , ω"=ω2=10002Hz

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