When a known standard resistor of 2\(\Omega\) is connected to the 0.0cm end of a meter bridge, the balance point is found to be at 55.0cm. What is the value of the unknown resistor?
A
1.10\(\Omega\)
B
1.64\(\Omega\)
C
2.44\(\Omega\)
D
27.50\(\Omega\)
Verified Correct Answer: B.
Physical Principles & Numerical Solution
\(\frac{R_1}{R_2}\) = \(\frac{L_1}{R_2}\)
\(\frac{2}{R_2}\) = \(\frac{55}{45}\)
R = 1.64\(\Omega\)
Source: Myschool Past Questions Archive (Record #28279)