Home
Class 12
PHYSICS
Assertion : When the length of a conduct...

Assertion : When the length of a conductor is doubled, its resistance will also get doulbed.
Reason : Resistance is direclty proportional to the length of a conductor.

A

If both assertion and reason are ture and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If assertion and reason both are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we will analyze the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that when the length of a conductor is doubled, its resistance will also get doubled. ### Step 2: Understand the Reason The reason states that resistance is directly proportional to the length of a conductor. This is a fundamental principle in physics. ### Step 3: Recall the Formula for Resistance The resistance \( R \) of a conductor can be expressed using the formula: \[ R = \rho \frac{L}{A} \] where: - \( R \) is the resistance, - \( \rho \) is the resistivity of the material, - \( L \) is the length of the conductor, - \( A \) is the cross-sectional area of the conductor. ### Step 4: Analyze the Effect of Doubling the Length If the length \( L \) of the conductor is doubled (i.e., \( L' = 2L \)), the new resistance \( R' \) can be calculated as: \[ R' = \rho \frac{L'}{A} = \rho \frac{2L}{A} = 2 \left( \rho \frac{L}{A} \right) = 2R \] This shows that when the length of the conductor is doubled, the resistance also doubles. ### Step 5: Conclusion Both the assertion and the reason are true. The assertion is correct because it follows directly from the reason, which states that resistance is directly proportional to the length of the conductor. ### Final Answer - Assertion: True - Reason: True - Conclusion: The assertion is correct because the reason is valid. ---

To solve the question, we will analyze the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that when the length of a conductor is doubled, its resistance will also get doubled. ### Step 2: Understand the Reason The reason states that resistance is directly proportional to the length of a conductor. This is a fundamental principle in physics. ...
Promotional Banner

Topper's Solved these Questions

  • CURRENT ELECTRICITY

    A2Z|Exercise AIPMTNEET Questions|81 Videos
  • CURRENT ELECTRICITY

    A2Z|Exercise Section - C|1 Videos
  • CURRENT ELECTRICITY

    A2Z|Exercise Section - A|1 Videos
  • ATOMIC PHYSICS

    A2Z|Exercise Section D - Chapter End Test|30 Videos
  • DUAL NATURE OF RADIATION AND MATTER

    A2Z|Exercise Section D - Chapter End Test|30 Videos

Similar Questions

Explore conceptually related problems

The length of a conductor is halved. Its conductance will be

The length of a conductor is halved, its conductivity will be

The resistance of a conductor is

When the area of cross-section of a conductor is doubled, its resistance becomes:

When the temperature of a metallic conductor is increased, its resistance

The length of a conductor is doubled and its radius is halved, its specific resistance is

The length and area of cross-section of a conductor are doubled, its resistance is

A2Z-CURRENT ELECTRICITY-Section B - Assertion Reasoning
  1. Assertion : Electric field outside the conducting wire which carreis a...

    Text Solution

    |

  2. Assertion : When current through a bulb is increased by 2% power incre...

    Text Solution

    |

  3. Assertion : When the length of a conductor is doubled, its resistance ...

    Text Solution

    |

  4. Assertion : In the following circuit e.m.f. is 2 V internal resistance...

    Text Solution

    |

  5. Assertion : The e.m.f. of the drivercell in the potentiometer experime...

    Text Solution

    |

  6. Assertion : Direction of current can't be from negative potential Re...

    Text Solution

    |

  7. Statement I: Internal resistance of a battery is drawn parallel to a ...

    Text Solution

    |

  8. Assertion : When a cell is charged by connecting its positive terminal...

    Text Solution

    |

  9. Assertion : Potential measured by a voltmeter across a wire a always l...

    Text Solution

    |

  10. Assertion : The drift velocity of electrons in a metallic wire will de...

    Text Solution

    |

  11. Assertion : In meter bridge experiment, a high resistance is always co...

    Text Solution

    |

  12. Assertion : Insulators do no allow flow of current through them. Rea...

    Text Solution

    |

  13. Assertion : There is no current in the metals in the absence of electr...

    Text Solution

    |

  14. Assertion : The drift velocity of electrons in a metallic wire will de...

    Text Solution

    |

  15. Assertion : Electric field outside the conducting wire accurate measur...

    Text Solution

    |

  16. Assertion : A potentiometer of longer length is used of accurate measu...

    Text Solution

    |

  17. Assertion : The e.m.f. of the driver cell in the potentiometer experim...

    Text Solution

    |

  18. Assertion : A person touching a high power line gas stuck with the lin...

    Text Solution

    |

  19. Assertion : The connecting wires are made of copper. Reason : The el...

    Text Solution

    |

  20. Assertion : The 200 W bulbs glows with more brightness then 100 W bulb...

    Text Solution

    |