Home
Class 11
PHYSICS
A thin copper wire of length l metre inc...

A thin copper wire of length `l` metre increases in length by `2%` when heated through `10^(@)C`. What is the percentage increase in area when a square copper sheet of length `l` metre is heated through `10^(@)C`

A

`4%`

B

`8%`

C

`16%`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`A =l^(2) rArr (Delta A)/(A) xx 100 = 2(Delta l)/(l) xx 100 =2 (2 %) = 4%
Promotional Banner

Topper's Solved these Questions

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-I MEASUREMENT|4 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-II AIPMT 2006|1 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-I DIMENSIONS|22 Videos

  • MISCELLANEOUS

    ALLEN|Exercise SUBJECTIVE QUESTION|9 Videos

  • SEMICONDUCTORS

    ALLEN|Exercise Part-3(Exercise-4)|51 Videos

Similar Questions

Explore conceptually related problems

A thin copper wire of length L increase in length by 1% when heated from temperature T_(1) "to" T_(2) What is the percentage change in area when a thin copper plate having dimensions 2LxxL is heated from T_(1) "to "T_(2) ?

What will be the percentage increase in the area of a square when each of the its sides is increased by 10% ?

A copper wire of length l increases in length by 0.3 % on heating from 20^@C to 40^@C. Then percentage change in area of copper plate of dimensions 3 lxx 2l on heating from 20^@C to 40^@C is

A wire of length 100cm increases in length by 10^(-2)m when it is heated through 100^(@)C . The coefficient of linear expansion of the material of the wire exprassed in //K units is

The coefficient of linear exopansion of a metal is 1 xx 10^(-5//0)C . The percentage increase in area of a square plate of that metal when it is heated through 100^(0)C is

A thin copper wire of length l increases in length by 1% when heated from 0^(@)C to 100^(@)C . If a then copper plate of area 2lxxl is heated from 0^(@)C to 100^(@)C , the percentage increases in its area will be

A thin metal square plate has length l. when it is heated from 0^(@)C to 100^(@)C its length increases by 1%. What is the percentage increase in the area of the plate?

The length and breadth of a rectangle are increased by 20% and 10% respectively. What is the percentage increase in the area of the rectangle ?

A cylindrical wire is stretched to increase its length by 10%. Calculate the percentage increase in resistance.

ALLEN-PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT -EXERCISE-I ERRORS
  1. A physical quantity is given by X=M^(a)L^(b)T^(c). The percentage erro...

    Text Solution

    |

  2. An experiment measures quantities a, b and c and X is calculated from ...

    Text Solution

    |

  3. Zero error of an instrument introduces

    Text Solution

    |

  4. What is the fractional error in g calculated from T = 2 pi sqrt((l)/(g...

    Text Solution

    |

  5. A thin copper wire of length l metre increases in length by 2% when he...

    Text Solution

    |

  6. The resistance R = V//i, where V = 100 +- 5 V and I = 10+- 0.2 A. What...

    Text Solution

    |

  7. If error in measuring diameter of a circle is 4%, the error in circumf...

    Text Solution

    |

  8. The external and internal diameters of a hollow cylinder are measured ...

    Text Solution

    |

  9. Percentage error in measuring the radius and mass of a solid sphere a...

    Text Solution

    |

  10. The heat generated in a circuit is dependent upon the resistance, cur...

    Text Solution

    |

  11. The percentage errors in the measurement of mass and speed are 2% and ...

    Text Solution

    |

  12. While measuring acceleration due to gravity by simpe pendulum a studen...

    Text Solution

    |

  13. The pressure on a square plate is measured by measuring the force on t...

    Text Solution

    |

  14. The error in measuring the side of a cube is pm1%. The error in the ca...

    Text Solution

    |

  15. When a copper sphere is heated, maximum percentage change will be obse...

    Text Solution

    |

  16. The resistance R of a wire is given by the relation R= (rhol)/( pir^(2...

    Text Solution

    |

  17. Which of the following has the highest number of significant figures ?

    Text Solution

    |

  18. A physical quantity X is give by the relation X = (2h^(3)I^(2))/(2sqrt...

    Text Solution

    |