Current Electricity Charging Discharging Of Capacitors Question 315

Question: Two resistances are connected in two gaps of a metre bridge. The balance point is 20 cm from the zero end. A resistance of 15 ohms is connected in series with the smaller of the two. The null point shifts to 40 cm. The value of the smaller resistance in ohms is

[KCET 2005]

Options:

A) 3

B) 6

C) 9

D) 12

Show Answer

Answer:

Correct Answer: C

Solution:

Let S be larger and R be smaller resistance connected in two gaps of meter bridge. \ $ S=( \frac{100-l}{l} )R=\frac{100-20}{20}R=4R $ …..(i) When $ 15\Omega $ resistance is added to resistance R, then $ S=( \frac{100-40}{40} )(R+15)=\frac{6}{4}(R+15) $ …. (ii) From equations (i) and (ii) $ R=9\Omega $