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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Experimental Physics

NTA Abhyas 2020 · Physics · Experimental Physics

In a meter Bridge experiment resistance x is connected in the right...

In a meter Bridge experiment resistance xx is connected in the right gap. When R1{R}_{1} and R2{R}_{2} are connected in the left gap separately the balance points are 40cm40cm and 50cm50cm respectively from the left end. Now if both R1 and R2{R}_{1} \text{ and } {R}_{2} are connected in series in the left gap with xx in the right gap then what will be the new balance point from the left end (in cmcm)?

Correct answer

62.5

Step-by-step solution

R1x=4060=23....(1),R2x=5050=1.....(2)\dfrac{{R}_{1}}{x} = \dfrac{40}{60} = \dfrac{2}{3} . . . . \left(1\right), \dfrac{{R}_{2}}{x} = \dfrac{50}{50} = 1 . . . . . \left(2\right)

R1+R2x=l100–l\dfrac{{R}_{1} + {R}_{2}}{x} = \dfrac{l}{100 – l} .... (3) Add eq (1) & (2)

R1+R2x=23+1=53\dfrac{{R}_{1} + {R}_{2}}{x} = \dfrac{2}{3} + 1 = \dfrac{5}{3} ... (4) Placing eq (4) in (3)

5/3=l100–l⇒500–5l=3l5 / 3 = \dfrac{l}{100 – l} ⇒ 500 – 5l = 3l

⇒8l=500∴l=62.5cm⇒ 8l = 500 ∴ l = 62.5cm
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