Home
Class 11
MATHS
The length L (in centimetre) of a copper...

The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment, if `L" "=" "124. 942` when `C" "=" "20` and `L=" "125. 134` when `C" "=" "110` , express L in terms of C.

Text Solution

Verified by Experts

The general form of linear function is `f(x)=ax+b`
It is given that the length `L` (in centimetre) of a copper rod is a linear function of its Celsius temperature `C`.
So, let `L=aC+b …(1)`
We have given that, if `L=124.942` when `C=20` ...
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos

  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

The coefficient of linear expansion of a rod is alpha and its length is L. The increase in temperature required to increase its legnth by 1% is

A rod of length l and coefficient of linear expansion alpha . Find increase in length when temperature changes from T to T+ DeltaT

A rod of length l and coefficient of linear expansion alpha . Find increase in length when temperature changes from T to T+ DeltaT

The dimension of L//C is equivalent to that of ( L to inductance, C to capacitance)

L-C circuit

A thin rod, length L_(0) at 0^(@)C and coefficient of linear expansion alpha has its two ends mintained at temperatures theta_(1) and theta_(2) respectively Find its new length .

The relation between H.C.F. and L.C.M of 12 and 20 will be

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 :-

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. In what ratio is the line joining the points (2,3)a n d\ (4,-5) divide...

    Text Solution

    |

  2. The vertices of a quadrilateral are A(-2,6),\ B(1,2),\ C(10 ,4)a n d D...

    Text Solution

    |

  3. The length L (in centimetre) of a copper rod is a linear function o...

    Text Solution

    |

  4. Find the equation of the line which cuts off an intercept 4 on the ...

    Text Solution

    |

  5. Find the equation of the straight line which makes equal intercepts on...

    Text Solution

    |

  6. Find the equation of the line which cuts off equal and positive int...

    Text Solution

    |

  7. Find the equation of a straight line which passes through the point ...

    Text Solution

    |

  8. Find the equation of the straight line whose intercepts on X-axis and ...

    Text Solution

    |

  9. Find the equation of the line through (2,3) so that the segment of the...

    Text Solution

    |

  10. A line passes through the point (3,-2). Find the locus of the middle p...

    Text Solution

    |

  11. Find the equations of the lines, which cut-off intercepts on the axes ...

    Text Solution

    |

  12. Find eqn of lines pass through origin and trisect the intercept of lin...

    Text Solution

    |

  13. Find the equation to the straight line: cutting off intercepts 3 and 2...

    Text Solution

    |

  14. Find the equation to the straight line: cutting off intercepts -5 and ...

    Text Solution

    |

  15. Find the equation to the straight line which passes through the point ...

    Text Solution

    |

  16. A straight line passes through the point (alpha,beta) and this point b...

    Text Solution

    |

  17. Point R (h, k) divides a line segment between the axes m the ratio 1...

    Text Solution

    |

  18. Find the equation of the straight line which passes through the point ...

    Text Solution

    |

  19. The equation of straight line which passes through the point (-4,3) su...

    Text Solution

    |

  20. Find the equation of a line which passes through the point (22,-6) and...

    Text Solution

    |