8.16Ω and 60.5cm
19.15Ω and 60.5cm
8.16Ω and 39.5cm
19.15Ω and 39.5cm
In a meter bridge, the balance condition is given by:
X/Y = l1/(100 - l1)
where X and Y are the resistances, and l1 is the balance point distance from end A.
Given: Y = 12.5Ω, l1 = 39.5cm
Initially:
X/12.5 = 39.5/(100 - 39.5)
X/12.5 = 39.5/60.5
X = (39.5/60.5) * 12.5
X = 8.16Ω
After interchanging X and Y:
Y/X = l2/(100 - l2)
12.5/8.16 = l2/(100 - l2)
1.53 = l2/(100 - l2)
153 - 1.53l2 = l2
153 = 2.53l2
l2 = 153/2.53
l2 = 60.5cm
Therefore, the values of X and l2 are 8.16Ω and 60.5cm respectively.