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

Byju's Answer

Standard XII

Physics

Series and Parallel Combination of Resistors

An unknown re...

Question

An unknown resistance $X$ is connected in a left gap and known resistance $R$ is connected in the right gap of a metre bridge. The balance point is obtained at 60 cm from the left end of the wire. When R is increased by $2 Ω$ , the balance point shifts by $10 c m$ . Find $X$ and $R$ respectively.

6 Ω, 4 Ω

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

6 Ω, 3 Ω

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

4 Ω, 6 Ω

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

3 Ω, 4 Ω

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

Open in App

Solution

The correct option is A $6 Ω, 4 Ω$

using wheatstone bridge connection:
$\frac{X}{R} = \frac{60}{100 - 60} = \frac{60}{40}$
$\frac{X}{R} = \frac{3}{2}$ ....(1)
and after shifting,
$\frac{X}{R + 2} = 1$ ....(2)

on solving both eq. (1) and (2)
$R = 4 Ω$
$X = 6 Ω$

Hence, option A is correct.

Suggest Corrections

Similar questions

Q. An unknown resistance

X

is connected in a left gap and known resistance

R

is connected in the right gap of a metre bridge. The balance point is obtained at 60 cm from the left end of the wire. When R is increased by

2 Ω

, the balance point shifts by

10 c m

. Find

X

and

R

respectively.

Q. A resistance of

2 Ω

is connected across one gap of a metre–bridge (the length of the wire is 100 cm) and an unknown resistance, greater than

2 Ω

, is connected across the other gap. When these resistances are interchanged, the balance point shifts by 20 cm. Neglecting any corrections, the unknown resistance is

Q. When an unknown resistance and a resistance of

4 Ω

are connected in the left and right gaps of a meter bridge, the balance point is obtained at

50 c m

. The shift in the balance point, if a

4 Ω

resistance is now connected in parallel to the resistance in the right gap, is

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}

Two equal resistances are connected in the gaps of a metre bridge. If the resistance in the left gap is increased by (10%) the balancing point shifts by

Join BYJU'S Learning Program

An unknown resistance X is connected in a left gap and known resistance R is connected in the right gap of a metre bridge. The balance point is obtained at 60 cm from the left end of the wire. When R is increased by 2 Ω, the balance point shifts by 10 cm. Find X and R respectively.

The correct option is A 6 Ω, 4 Ω using wheatstone bridge connection: XR=60100−60=6040 XR=32 ....(1) and after shifting, XR+2=1 ....(2) on solving both eq. (1) and (2) R=4 Ω X=6 Ω Hence, option A is correct.

An unknown resistance $X$ is connected in a left gap and known resistance $R$ is connected in the right gap of a metre bridge. The balance point is obtained at 60 cm from the left end of the wire. When R is increased by $2 Ω$ , the balance point shifts by $10 c m$ . Find $X$ and $R$ respectively.

The correct option is A $6 Ω, 4 Ω$

using wheatstone bridge connection:
$\frac{X}{R} = \frac{60}{100 - 60} = \frac{60}{40}$
$\frac{X}{R} = \frac{3}{2}$ ....(1)
and after shifting,
$\frac{X}{R + 2} = 1$ ....(2)

on solving both eq. (1) and (2)
$R = 4 Ω$
$X = 6 Ω$

Hence, option A is correct.