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Q.

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Choke coil is simply a coil having a large inductance but a small resistance. Choke coils are used with fluorescent mercury-tube fittings. If household electric power is directly connected to a mercury tube, the tube will be damaged.
Reason (R) : By using the choke coil, the voltage across the tube is reduced by a factor R/R2+ω2L2, where ω is frequency of the supply across resistor R and inductor L. If the choke coil were not used, the voltage across the resistor would be the same as the applied voltage.
In the light of the above statements, choose the most appropriate answer from the options given below:

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a

(A) is false but (R) is true.

b

Both (A) and (R) are true and (R) is the correct explanation of (A).

c

(A) is true but (R) is false.

d

Both (A) and (R) are true but (R) is not the correct explanation of (A).

answer is C.

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Detailed Solution

Assertion (A):

A choke coil is a device with a high inductance and low resistance, typically used in AC circuits to limit current without dissipating much power as heat.

  • In fluorescent tube light circuits, a choke coil is used to regulate the current and produce the necessary high voltage for ignition.
  • If household AC power is directly applied without a choke, excessive current may flow, damaging the tube.
  • Thus, Assertion (A) is correct. 

eason (R):

The voltage across an inductive circuit is given by:

  • V=Vapplied×RR2+(ωL)2V = V_{\text{applied}} \times \frac{R}{\sqrt{R^2 + (\omega L)^2}}

where RR is resistance, LL is inductance, and ω\omega is the angular frequency.

This shows that the voltage across the tube is reduced due to the presence of the choke coil.

Without the choke, the full voltage of the supply would appear across the tube, potentially damaging it.

Thus, Reason (R) is also correct, and it correctly explains Assertion (A).

Both (A) and (R) are correct, and (R) is the correct explanation of (A).

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Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : Choke coil is simply a coil having a large inductance but a small resistance. Choke coils are used with fluorescent mercury-tube fittings. If household electric power is directly connected to a mercury tube, the tube will be damaged.Reason (R) : By using the choke coil, the voltage across the tube is reduced by a factor R/R2+ω2L2, where ω is frequency of the supply across resistor R and inductor L. If the choke coil were not used, the voltage across the resistor would be the same as the applied voltage.In the light of the above statements, choose the most appropriate answer from the options given below: