Get Answers to all your Questions

header-bg qa

In the circuit shown, when key \mathrm{K_1} is closed, then the ammeter reads \mathrm{I_0} whether \mathrm{K_2} is open or closed. But when \mathrm{K_1} is open the ammeter reads \mathrm{I_0/2} , when \mathrm{K_2} is closed:

Assuming that ammeter resistance is much less than \mathrm{R_2}, the values of \mathrm{r} and \mathrm{R_1} is ohms are:

Option: 1

100,50


Option: 2

50,100


Option: 3

0,100


Option: 4

0,50


Answers (1)

best_answer

When \mathrm{K}_1 is closed, \mathrm{R}_1 is short-circuited

When \mathrm{K_2} is open, \mathrm{i_0=\frac{E}{r+R_2}=\frac{E}{r+100}}

When \mathrm{K_2} is closed, \mathrm{i_0=\frac{1}{2}\left[\frac{E}{r+50}\right]}

From these two equations, we get \mathrm{r=0}

When \mathrm{K_1} is open and \mathrm{K_2} is closed. \mathrm{\frac{i_0}{2}=\frac{E}{2\left(R_1+50\right)}}

From eqs. (i) and (iii), we have \mathrm{R}_1=50 \Omega

Hence option 4 is correct

Posted by

Pankaj

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE