A wire connected in the left gap of a meter bridge balance a 10 Ω resistance in the right gap to a point, which divides the bridge wire in the ratio 3 :2. If the length of the wire is 1 m. The length of one ohm wire is

Question

A wire connected in the left gap of a meter bridge balance a 10 Ω resistance in the right gap to a point, which divides the bridge wire in the ratio 3 :2. If the length of the wire is 1 m. The length of one ohm wire is (A) 0.057 m (B) 0.067 m (C) 0.37 m (D) 0.134 m

Tardigrade Admin · Accepted Answer

Here, (R/S)=(3/2), S=10 Ω ∴ R=(3/2)× S=(3/2)×10=15 Ω As the length of wire is 1 m. ∴ length of one ohm wire =1/5=0.067 m

Q. A wire connected in the left gap of a meter bridge balance a $10 Ω$ resistance in the right gap to a point, which divides the bridge wire in the ratio $3 : 2$ . If the length of the wire is $1 m$ . The length of one ohm wire is

$0.057 m$

$0.067 m$

$0.37 m$

$0.134 m$

Here, $\frac{R}{S} = \frac{3}{2}$ , $S = 10 Ω$
$∴ R = \frac{3}{2} \times S = \frac{3}{2} \times 10 = 15 Ω$
As the length of wire is $1 m$ .
$∴$ length of one ohm wire $= 1/5 = 0.067 m$

Q. A wire connected in the left gap of a meter bridge balance a 10Ω resistance in the right gap to a point, which divides the bridge wire in the ratio 3:2. If the length of the wire is 1m. The length of one ohm wire is

0.057m

0.067m

0.37m

0.134m