If the radius of the wire of the meter bridge is doubled, what will happen to the balancing length?

  1. The balancing length will become zero
  2. The balancing length will also get doubled
  3. The balancing length will remain the same
  4. The balancing length will get reduced

Answer (Detailed Solution Below)

Option 3 : The balancing length will remain the same
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CONCEPT:

  • Meter bridgeMeter bridge is instruments based on the principle of Wheatstone bridge and is used to measure an unknown resistance.

F1 P.B 8.5.20 Pallavi D5

  • In the case of a meter bridge, the resistance wire AC is 100 cm long. Varying the position of tapping point B, the bridge is balanced.
  • If in the balanced position of bridge AB = l, BC (100 – l) so that

\(\frac{Q}{P} = \frac{{\left( {100 - l} \right)}}{l}\)

Also, \(\frac{P}{Q} = \frac{R}{S} \Rightarrow S = \frac{{\left( {100 - l} \right)}}{l}R\)

EXPLANATION:

  • The balance point of the meter bridge is independent of the radius of the wire.
  • Though the radius of the wire is doubled, it will not affect the ratio of the length of the 2 parts of the wire. Hence the balancing length will also not get affected. So option 3 is correct.
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