In the arrangement shown in figure, when the switch $S_2$ is open, the galvanometer, shows no deflection for $l=50 \mathrm{ cm}$ when the switch $S_2$ is closed, the galvanometer shows no deflection for $l=0.416 \mathrm{ m}$ . The internal resistance $(r)$ of $6 \mathrm{ V}$ cell is

Question

In the arrangement shown in figure, when the switch

S_2

is open, the galvanometer, shows no deflection for

l=50 \mathrm{ cm}

when the switch

S_2

is closed, the galvanometer shows no deflection for

l=0.416 \mathrm{ m}

. The internal resistance

(r)

of

6 \mathrm{ V}

cell is

In the arrangement shown in figure, when the switch S_2 is open, the galvanometer, shows no deflection for l=50 cm when

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Correct answer: A. 2

When S_2 open. Assume resistance of X Y=R . Resistance of wire per unit length, x=(R)/(L)=R ^ -1 I=E_0 / R Now, the potential drop across 50 cm length is 6 V , So array cc (E_0)/(R) × R × (50)/(100)=6 and E_0=12 V array When S_2 closed, potential drop across 0.416 cm length, V_1= (E_0)/(R) × R ×0.416=12 ×0.416 5 V Hence, E-I r=5 V aligned & & 6-I r & =5 & & I & =(5)/(10) and and 6-5 and =(5)/(10) r & & r & =2 aligned

In the arrangement shown in figure, when the switch S_2 is open,...

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