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Question
In a potentiometer arrangement, a cell of emf 1.5V gives a balance point at 27cm length of wire. If the cell is replaced by another cell and balance point shifts to 54cm, the emf of the second cell is
In a potentiometer arrangement, a cell of emf 1.5V gives a balance point at 27cm length of wire. If the cell is replaced by another cell and balance point shifts to 54cm, the emf of the second cell is
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Solution
The correct option is A 3V
ε1ε2=l1l2ε1ε2=l1l2
where ε1,ε2=ε1,ε2= emf's of two cells
l1,l2=l1,l2= lengths of the potentiometer wire on which emf ε1,ε2ε1,ε2 are balanced
Here,
ε1=1.5V,l1=27cmε1=1.5V,l1=27cm
ε2=?,l2=54cmε2=?,l2=54cm
∴ε2=ε1l2l1=3V
ε1ε2=l1l2ε1ε2=l1l2
where ε1,ε2=ε1,ε2= emf's of two cells
l1,l2=l1,l2= lengths of the potentiometer wire on which emf ε1,ε2ε1,ε2 are balanced
Here,
ε1=1.5V,l1=27cmε1=1.5V,l1=27cm
ε2=?,l2=54cmε2=?,l2=54cm
∴ε2=ε1l2l1=3V
where ε1,ε2=ε1,ε2= emf's of two cells
l1,l2=l1,l2= lengths of the potentiometer wire on which emf ε1,ε2ε1,ε2 are balanced
Here,
ε1=1.5V,l1=27cmε1=1.5V,l1=27cm
ε2=?,l2=54cmε2=?,l2=54cm
∴ε2=ε1l2l1=3V
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