Answer
Verified
425.1k+ views
Hint: A moving coil galvanometer is an electromagnetic device which is sensitive to the flow of small current in the circuit and is used to measure small current in the circuit. If follows the principle, that when a current carrying coil is kept in the proximity of a magnetic field it experiences a torque.
Formula used: $s=\dfrac{G}{n-1}$ where $G$ is a constant, which is the character of the galvanometer and $n$ is the range of the galvanometer.
Complete step by step answer:
A galvanometer is said to be sensitive, if it can show large deflections even when a small current flows through the circuit and thus sensitivity of the galvanometer is the ratio of change in deflection $d\theta$ to change in the current \[dI\]. This can be represented mathematically as $S=\dfrac{d\theta}{dI}$ .
We also know that, if $s$ is the sensitivity of the galvanometer, then $s=\dfrac{G}{n-1}$ where $G$ is a constant, which is the character of galvanometer and $n$ is the range of the galvanometer, which is the number of divisions the pointer moves to detect the small current.
Then, we can write, $S=\dfrac{G}{n-1}$, also given that $s=\dfrac{G}{8}$
Then, $\dfrac{G}{8}=\dfrac{G}{n-1}$
Or, $n-1=8$
Or $n=9$
Clearly, the range of the galvanometer increased to $9$.i.e. for small current, it points away $9$ divisions, then the sensitivity is said to become $S=\dfrac{s}{9}$
So, the correct answer is “Option C”.
Note: More deflection on the galvanometer, more the sensitivity of the galvanometer. The torque experienced by the current conductor in the magnetic field causes the pointer in the galvanometer to show deflection in the reading of the galvanometer.
Formula used: $s=\dfrac{G}{n-1}$ where $G$ is a constant, which is the character of the galvanometer and $n$ is the range of the galvanometer.
Complete step by step answer:
A galvanometer is said to be sensitive, if it can show large deflections even when a small current flows through the circuit and thus sensitivity of the galvanometer is the ratio of change in deflection $d\theta$ to change in the current \[dI\]. This can be represented mathematically as $S=\dfrac{d\theta}{dI}$ .
We also know that, if $s$ is the sensitivity of the galvanometer, then $s=\dfrac{G}{n-1}$ where $G$ is a constant, which is the character of galvanometer and $n$ is the range of the galvanometer, which is the number of divisions the pointer moves to detect the small current.
Then, we can write, $S=\dfrac{G}{n-1}$, also given that $s=\dfrac{G}{8}$
Then, $\dfrac{G}{8}=\dfrac{G}{n-1}$
Or, $n-1=8$
Or $n=9$
Clearly, the range of the galvanometer increased to $9$.i.e. for small current, it points away $9$ divisions, then the sensitivity is said to become $S=\dfrac{s}{9}$
So, the correct answer is “Option C”.
Note: More deflection on the galvanometer, more the sensitivity of the galvanometer. The torque experienced by the current conductor in the magnetic field causes the pointer in the galvanometer to show deflection in the reading of the galvanometer.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Why Are Noble Gases NonReactive class 11 chemistry CBSE
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
At which age domestication of animals started A Neolithic class 11 social science CBSE
Which are the Top 10 Largest Countries of the World?
Give 10 examples for herbs , shrubs , climbers , creepers
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Difference Between Plant Cell and Animal Cell
Write a letter to the principal requesting him to grant class 10 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE