Q89 / 90 · JEE Main 2022 (24 Jun Shift 1) · Physics

In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf's of two cells respectively is 3:2, the difference in the balancing length of the potentiometer wire in above two cases will be _____ cm.

Correct answer: 25

Solution

If the potential difference between the potentiometer is V and the potential of the battery is ε. 

Then, εV=lL

Therefore, ε1ε2=l1l2⇒32=75x⇒x=50 cm

Therefore, the difference in the balancing length is 75-50=25 cm

Hence, the correct answer is 25.

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