State whether the given statement is true or false:

Resistance of a conductor is proportional to the length of the conductor for constant cross-section area and temperature.

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True

False

answer is A.

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Detailed Solution

The given statement is true.
Concept- Vary the length and make observations to test proportionality. If the applied voltage remains constant, the current decreases as the resistance increases. To maintain a constant voltage, use a battery.
Procedure:
Collect various lengths and cross-sectional areas of iron spokes.
Make a circuit using a battery, an ammeter, and a plug key, but leave gas between P and Q.
Connect P and Q with a 10 cm length of iron spoke.
Make a mental note of the current ammeter reading.
Rep for other lengths of iron spokes, noting the current values for each.
As the length of the spoke increases, you'll notice that the current decreases.
The resistance of each spoke increases with length for a constant potential difference.
As a result, the resistance of a conductor is proportional to its length (l) when the cross-sectional area remains constant. As a result,

When the cross-section area was smaller, the resistance was greater. As a result,

As a result, we can confirm L and A.
solution

Hence, the given statement is true.

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