1.

A galvanometer of resistance `50Omega` is connected to a b attery of 3V alongwith a resistance of `2950Omega` in series. A full scale deflection of 30 division is obtained in the galvanometer in order to reduce this deflection to 20 division. The resistance in sereis. should be:-A. `5050Omega`B. `550Omega`C. `6050Omega`D. `4450Omega`

Answer» Correct Answer - D
Current through the galvanomete,
`l=(3)/((50+2950))=10^(-3)A`
Current for 30 divisions `= 10^(-3)A`
Current for 20 divisions `= (10^(-3))/(30)xx20 =(2)/(3)xx10^(-3)A`
For the same deflection to obtain for 20 divisions, let resistance added be R
`therefore " " (2)/(3)xx10^(-3)=(3)/((50+1R))`
`rArr " " R = 4450 Omega`


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