QJEEM18Ph85bd: JEE Main 2018 Physics - Class 12 JEEM18Ph85bd Solution: In a meter bridge, as shown in the figure, it is given that…

Question

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In a meter bridge, as shown in the figure, it is given that resistance

Y = 12.5 Ω

and that the balance is obtained at a distance

39.5

c m

from end

A

(by Jockey J). After interchanging the resistances

X

and

Y

, a new balance point is found at a distance

l_{2}

from end

A .

What are the value of

X

and

l_{2}

?

Accepted Answer

For balanced meter bridge,

\frac{X}{39.5}

=

\frac{Y}{(100 - 39.5)}

\Rightarrow

X =

\frac{12.5 \times 39.5}{60.5}

= 8.16

Ω

Now, when we interchange X and Y then

\frac{Y}{l_{2}} = \frac{X}{100 - l_{2}}

\Rightarrow

\frac{12.5}{l_{2}} = \frac{8.16}{100 - l_{2}}

\Rightarrow

20.66

l_{2}

= 1250

\Rightarrow

l_{2}

= 60.5

Ω

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