Question

In a meter bridge experiment, a resistance of \( 10 \, \Omega \) is balanced by a resistance \( X \) with a balance point at \( 40 \, \mathrm{cm} \). What is the value of \( X \)?

• A. \( 6.67 \, \Omega \)
• B. \( 8.00 \, \Omega \)
• C. \( 10.00 \, \Omega \)
• D. \( 15.00 \, \Omega \)

Hint:

In a meter bridge, the principle is based on the Wheatstone bridge's law, where the balance point helps determine the unknown resistance using the formula \( \frac{R_1}{R_2} = \frac{l_1}{l_2} \), with \( l_1 \) and \( l_2 \) being the lengths on either side of the meter bridge.