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Meter bridge: the null point shifts when a resistance is added in series or in parallel

This type of question, asked 6 times: 26 Jul 2022, 29 Jan 2023, 1 Feb 2024, 22 Jan 2026 S1, 24 Jan 2026 S1, 24 Jan 2026 S2. All 7 questions below, oldest first.

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  1. Question 1

    26 Jul 2022

    26
    Resistance are connected in a meter bridge circuit as shown in the figure. The balancing length l1l_{1} is 40 cm40\text{ }cm. Now an unknown resistance XX is connected in series with PP and new balancing length is found to be 80 cm80\text{ }cm measured from the same end. Then the value of XX will be ____\_\_\_\_ Ω\Omega.

  2. Question 2

    29 Jan 2023

    115
    When two resistances R1R_{1} and R2R_{2} connected in series and introduced into the left gap of a meter bridge and a resistance of 10Ω10\Omega is introduced into the right gap, a null point is found at 60 cm60\text{ }cm from left side. When R1R_{1} and R2R_{2} are connected in parallel and introduced into the left gap, a resistance of 3Ω3\Omega is introduced into the right-gap to get null point at 40 cm40\text{ }cm from left end. The product of R1R2R_{1}R_{2} is___ Ω2\Omega^{2}

  3. Question 3

    29 Jan 2023

    28
    In a metre bridge experiment the balance point is obtained if the gaps are closed by 2Ω2\Omega and 3Ω3\Omega. A shunt of XΩX\Omega is added to 3Ω3\Omega resistor to shift the balancing point by 22.5 cm22.5\text{ }cm. The value of XX is ____\_\_\_\_ Ω\Omega.

  4. Question 4

    1 Feb 2024

    106
    In a metre-bridge when a resistance in the left gap is 2Ω2\Omega and unknown resistance in the right gap, the balance length is found to be 40 cm40\text{ }cm. On shunting the unknown resistance with 2Ω2\Omega, the balance length changes by:

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  5. Question 5

    22 Jan 2026 S1

    6
    A meter bridge with two resistances R1R_{1} and R2R_{2} as shown in figure was balanced (null point) at 40 cm from the point P. The null point changed to 50 cm from the point P, when 16Ω16\Omega resistance is connected in parallel to R2R_{2}. The values of resistances R1R_{1} and R2R_{2} are ____\_\_\_\_ .

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  6. Question 6

    24 Jan 2026 S1

    12
    Two resistors 2Ω2\Omega and 3Ω3\Omega are connected in the gaps of bridge as shown in figure. The null point is obtained with the contact of jockey at some point on wire XY . When an unknown resistor is connected in parallel with 3Ω3\Omega resistor, the null point is shifted by 22.5 cm toward Y . The resistance of unknown resistor is ____\_\_\_\_ Ω\Omega.

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  7. Question 7

    24 Jan 2026 S2

    23
    In a meter bridge experiment to determine the value of unknown resistance, first the resistances 2Ω2\Omega and 3Ω3\Omega are connected in the left and right gaps of the bridge and the null point is obtained at a distance l cml\text{ }cm from the left. Now when an unknown resistance xΩx\Omega is connected in parallel to 3Ω3\Omega resistance, the null point is shifted by 10 cm to the right of wire. The value of unknown resistance x is ____\_\_\_\_ Ω\Omega.