Home
Class 12
PHYSICS
In order to increase the resistance of a...

In order to increase the resistance of a given wire of uniform cross section to four times its value, a fraction of its length is stretched uniformly till the full length of the wire becoes `3/2` times the original length. What is the value of this fraction?

A

`1/8`

B

1/6`

C

`1/10`

D

`1/4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELECTRIC CURRENT & CIRCUITS

    CENGAGE PHYSICS ENGLISH|Exercise Combination of Resistance 1|14 Videos
  • ELECTRIC CURRENT & CIRCUITS

    CENGAGE PHYSICS ENGLISH|Exercise Combination of Resistance 2|14 Videos
  • COULOMB LAW AND ELECTRIC FIELD

    CENGAGE PHYSICS ENGLISH|Exercise Single Answer Correct Type|22 Videos
  • ELECTRIC CURRENT AND CIRCUIT

    CENGAGE PHYSICS ENGLISH|Exercise Interger|8 Videos

Similar Questions

Explore conceptually related problems

In order to increase the resistance of a given wire of unknown of uniform cross section to four times its value, a fraction of its length is stretched uniformly till the full length of the wire becoes 3/2 times the original length. What is the value of this fraction?

A wire of resistance 5Omega is uniformly stretched until its new length becomes 4 times the original length. Find its new resistance.

The increase of length of a wire under a load is equal to its initial length. What is the stress in the wire equal to?

The resistance of a wire is R ohm. If it is melted and stretched to n times its original length, its new resistance will be

A metal wire of resistance 6Omega is stretched so that its length is increased to twice its original length. Calculate its new resistance.

A long straight wire of circular cross- section carries a current along its length. On the axis inside the wire, it follows that

A metal wire of resistance 62 Ohms is stretched so that its length increased to twice of original length. Calculate its new resistance

Statement I: A wire of uniform cross-section and uniform resistivity is connected across an ideal cell. Now the length of the wire is doubled keeping volume of the wire constant. The drift velocity of electrons after stretching the wire becomes one-fouth of what it was before stretching the wire. Statement II: If a wire (of uniform resistivity and uniform cross section) of length l_0 is stretched to length nl_0 , then its resistance becomes n^2 times of what it was before stretching the wire (the volume of wire is kept constant in stretching process). Further at constant potential difference, current is inversely proportional to resistance. Finally, drift velocity of free electron is directly proportional to current and inversely proportional to cross-sectional area of current carrying wire.

If a wire is stretched to double its length, find the new resistance if the original resistance of the wire was R.

When a force of 100 N is applied on a wire of uniform cross-section as shown in figure then length of wire is increased by 1 mm. Energy stored in the wire will be