Home
Class 11
PHYSICS
A thin copper wire of length l metere in...

A thin copper wire of length l metere 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 Question|1 Videos

  • SEMICONDUCTORS

    ALLEN |Exercise Part-3(Exercise-4)|50 Videos

Similar Questions

Explore conceptually related problems

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 thin copper wire of length L increase in length by 2 % when heated from T_(1) to T_(2) . If a copper cube having side 10 L is heated from T_(1) to T_(2) when will be the percentage change in (i) area of one face of the cube (ii) volume of the cube

A thin wire of length l when heated to a certain temperature increases its length by 1% . A sheet of the same material of area 2lxxl is heated to the same temperature then percentage increase in area will be :-

What will be the difference in volume of water when it is heated from 0^(@)C to 10^(@)C ?

Electric field inside a copper wire of length 10 meter, resistance 2 ohm connected to a 10 volt battery is (in SI units)

A steel scale measures the length of a copper rod as l_(0) when both are at 20^(@)C , which is the calibration temperature for the scale . The scale reading when both are at 40^(@)C , is :-

A hole is drilled in a copper sheet. The diameter of the hole is 4.24 " cm at " 27.0 ^(@) C . What is the change in the diameter of the hole when the sheet is heated to 227^(@) C ? Coefficient of Imear expansion of copper = 1.70 xx 10^(-5) K^(-1) .

A fine steel wire of length 4 m is fixed rigidly in a heavy brass frame as ashown in figure . It is just taut at 20^(@)C . The tensile stress developed in steel wire it whole system is heated to 120^(@)C is :- ( Given alpha _("brass") = 1.8 xx 10^(-5) .^(@)C^(-1), alpha_("steel") = 1.2 xx 10^(-5) .^(@)C, Y_("steel") = 2 xx 10^(11) Nm^(-2), Y_("brass")= 1.7xx10^(7) Nm^(-2) )

A hole is drilled in a copper sheet. The diameter of the hole is 4.24 cm at 27.0^(@)C . What is the change in the diameter of the hole when the sheet is heated to 227^(@)C ? Coefficient of linear expansion of copper =1.70xx10^(-5)K^(-1) .

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

    Text Solution

    |

  2. An experiment measures qunatites a, b and c, and X is calculate dfrom ...

    Text Solution

    |

  3. Zero error of an instrument intoduces

    Text Solution

    |

  4. What is the fractional error in g calculated form T=2pisqrt(l//g) ? Gi...

    Text Solution

    |

  5. A thin copper wire of length l metere increases in length by 2% when h...

    Text Solution

    |

  6. The resistance is R = (V)/(I) where V = 100 pm 5 Voits and I = 10 pm 0...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The heat generated in a cirucit is dependent upon the resstance, curre...

    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 a simple pendulum a stu...

    Text Solution

    |

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

    Text Solution

    |

  14. The error in measuring the side of a cube is +- 1%. The error in the c...

    Text Solution

    |

  15. When a copper sphere is heated, maximum per- centage change will be ob...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. A physical quantity X is given by X=(2k^(3)l^(2))/(msqrt(n)) . The per...

    Text Solution

    |