You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Meter Bridge

The resistanc...

Question

The resistance in the left and right gaps of a balanced metre bridge are $R_{1}$ and $R_{2}$ . The balanced point is 50 cm. If a resistance of 24 $Ω$ is connected in parallel to $R_{2}$ , the balance point is 70 cm. The value of $R_{1}$ or $R_{2}$ is

Ω

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Ω

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Ω

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Ω

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 32 $Ω$
Balanced condition for 1st case: $\frac{R_{1}}{R_{2}} = \frac{l}{100 - l} = \frac{50}{100 - 50} = 1$
so $R_{1} = R_{2}$
In 2nd case : when 24 $Ω$ is connected in parallel to $R_{2}$ , the resistance of $R_{2}$ arm becomes $R_{P} = \frac{24 R_{2}}{24 + R_{2}}$
now balance condition is $\frac{R_{1}}{R_{P}} = \frac{70}{100 - 70}$
or $\frac{R_{1}}{R_{P}} = 7 / 3$
or $R_{2} = (7 / 3) R_{P}$ as $R_{1} = R_{2}$
or $R_{2} = (7 / 3) \frac{24 R_{2}}{24 + R_{2}}$
or $24 R_{2} + R_{2}^{2} = 56 R_{2}$
or $R_{2}^{2} = 32 R_{2}$
or $R_{2} = 32 Ω$

Suggest Corrections

Similar questions

Q. An unknown resistance

R_{1}

is connected in series with resistance

10 Ω

. When the combination is connected in left gap of a metre bridge and

R_{2}

is connected in right gap, the balance point from left end is at

50 cm

. When the

10 Ω

is removed, the balance point from left end becomes

40 cm

. The value of

R_{1}

Q. In the metre bridge arrangement, an unknown resistance

R_{1}

is connected in series with resistance of

10 Ω

. When the combination is connecetd to left gap of the meter bridge and

R_{2}

is connected to right gap, balance point from left end is at

50 cm

. When

10 Ω

resistor is removed, the balance point shifts to

40 cm

. The value of

R_{1}

Q. An unknown resistance

R_{1}

is connected in series with a resistance of

10 Ω

. This combination is connected in one gap of a meter bridge, while a resistance

R_{2}

is connected in the other gap. The balance point is obtained at

50 cm

mark. When the

10 Ω

resistance is removed, the balance point shifts to

40 cm

mark. The value of

R_{1}

is -

Q. In the figure shown for gives values of

R_{1}

and

R_{2}

the balance point for Jockey is at 40 cm from A. When

R_{2}

is shunted by a resistance of 10

Ω

, balance shifts to 50 cm.

R_{1}

and

R_{2}

are

(A B = 1 m)

Q. In the figure shown for gives of

R_{1}

and

R_{2}

the balance point for jockey is at

40 cm

from

A

when

R_{2}

is shunted by a resistance of

10 Ω

, balance point shifts to

50 cm from A,

. Then

R_{1}, R_{2}

are

Join BYJU'S Learning Program

The resistance in the left and right gaps of a balanced metre bridge are R1 and R2. The balanced point is 50 cm. If a resistance of 24Ω is connected in parallel toR2, the balance point is 70 cm. The value of R1 orR2 is

The resistance in the left and right gaps of a balanced metre bridge are $R_{1}$ and $R_{2}$ . The balanced point is 50 cm. If a resistance of 24 $Ω$ is connected in parallel to $R_{2}$ , the balance point is 70 cm. The value of $R_{1}$ or $R_{2}$ is