Answer
397.2k+ views
Hint: A meter bridge is an instrument that works on the wheatstone bridge principle. It is used to find the unknown resistance of the conductor. Find the relation between the two resistance $X$ and $Y$ with the formula where $l$ is the balanced length. Then find the new balanced length when resistance is replaced with $3X$.
Complete step by step answer:
To measure an electrical resistance, a meter bridge is used which is not known by balancing its two legs of the bridge, where one of the legs includes an unknown component.
A meter bridge is an instrument that works on the wheatstone bridge principle. It is used to find the unknown resistance of the conductor.
Meter bridge consists of a wire which is one meter long which has uniform resistance and it has two slots in which one resistance is unknown.
A high resistance is connected in series with the galvanometer to protect it from high currents.The galvanometer is connected between the two resistors.
Jockey one end is connected to the junction of two resistors and the other end is used to find the balancing length. Meter bridge,galvanometer, one meter wire, jockey are used to find the unknown length.
A null point is obtained at point 40cm from one end $X$ then we can write,
$ \Rightarrow \dfrac{X}{l} = \dfrac{Y}{{100 - l}}$
$ \Rightarrow \dfrac{X}{{40}} = \dfrac{Y}{{60}}$
Since $\left( {100 - 40 = 60} \right)$
$ \Rightarrow \dfrac{{3X}}{2} = Y$
Now the new position of the null point then
$ \Rightarrow \dfrac{R}{S} = \dfrac{l}{{l - 100}}$
$ \Rightarrow \dfrac{{6k}}{l} = \dfrac{{3k}}{{100 - l}}$
$ \Rightarrow l = 67$
Hence, the correct answer is option (C).
Note: If a semiconductor is placed in the left gap of a meter bridge and it is heated then, balancing length is shifted to the right. A meter bridge is an instrument that works on the wheatstone bridge principle. It is also used to compare the two resistors. It is also used to determine the specific resistance of a resistor.
Complete step by step answer:
To measure an electrical resistance, a meter bridge is used which is not known by balancing its two legs of the bridge, where one of the legs includes an unknown component.
A meter bridge is an instrument that works on the wheatstone bridge principle. It is used to find the unknown resistance of the conductor.
Meter bridge consists of a wire which is one meter long which has uniform resistance and it has two slots in which one resistance is unknown.
A high resistance is connected in series with the galvanometer to protect it from high currents.The galvanometer is connected between the two resistors.
Jockey one end is connected to the junction of two resistors and the other end is used to find the balancing length. Meter bridge,galvanometer, one meter wire, jockey are used to find the unknown length.
A null point is obtained at point 40cm from one end $X$ then we can write,
$ \Rightarrow \dfrac{X}{l} = \dfrac{Y}{{100 - l}}$
$ \Rightarrow \dfrac{X}{{40}} = \dfrac{Y}{{60}}$
Since $\left( {100 - 40 = 60} \right)$
$ \Rightarrow \dfrac{{3X}}{2} = Y$
Now the new position of the null point then
$ \Rightarrow \dfrac{R}{S} = \dfrac{l}{{l - 100}}$
$ \Rightarrow \dfrac{{6k}}{l} = \dfrac{{3k}}{{100 - l}}$
$ \Rightarrow l = 67$
Hence, the correct answer is option (C).
Note: If a semiconductor is placed in the left gap of a meter bridge and it is heated then, balancing length is shifted to the right. A meter bridge is an instrument that works on the wheatstone bridge principle. It is also used to compare the two resistors. It is also used to determine the specific resistance of a resistor.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)