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

In the form `(C,L)`, two points lying on the line are `(20,124.942)` and `(110,125.134)`.
`:.` Equation of required line is,
`L-124.942=(125.134-124.942)/(110-20)(C-20)`
`L=(0.192)/(90)(C-20)+124.942`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos

  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|7 Videos

  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

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

The L.C.M. of 30 and 45 is

If L is the inductance, C is the capacitance and R is the resistance, then Rsqrt(C/L) . has the dimension

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 .

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 :-

When a capacitor is charged then l_(c) = conduction current l_(d) = displacembet current)

A rod of length L is placed along the X-axis between x=0 and x=L . The linear density (mass/length) rho of the rod varies with the distance x from the origin as rho=a+bx. a.) Find the SI units of a and b b.) Find the mass of the rod in terms of a,b, and L.

The total surface area of a cone of radius r/2 and length 2l , is a) 2pir(l+r) b) pir(l+r/4) c) pir(l+r) d) 2pirl

The co-efficient of thermal expansion of a rod is temperature dependent and is given by the formula alpha = aT , where a is a positive constant at T "in"^(@)C . if the length of the rod is l at temperature 0^(@)C , then the temperature at which the length will be 2l is

Find a_(C) and alpha of the smooth rod of mass m and length l .

NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Find the equation of the line passing through the point (0,2) making a...

    Text Solution

    |

  2. The perpendicular from the origin to a line meets it at the point (-2,...

    Text Solution

    |

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

    Text Solution

    |

  4. The owner of a milk store finds that, he can sell 980 litres of milk e...

    Text Solution

    |

  5. P (a, b) is the midpoint of a line segment between axes. Show that eq...

    Text Solution

    |

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

    Text Solution

    |

  7. By using the concept of equation of a line, prove that the three point...

    Text Solution

    |

  8. Reduce the following equations into slope intercept form and find th...

    Text Solution

    |

  9. Reduce the following equations into intercept form and find their int...

    Text Solution

    |

  10. Reduce the following equations into normal form. Find their perpendic...

    Text Solution

    |

  11. Find the distance of the point (-1, 1) from the line 12(x+6)=5(y-2).

    Text Solution

    |

  12. Find the points of the x-axis, whose distances from the line x/3+y/4=...

    Text Solution

    |

  13. Find the distance between parallel lines (i) 15 x" "+" "8y" "-" "34"...

    Text Solution

    |

  14. find equation of the line parallel to the line 3x - 4y + 2 = 0 and pas...

    Text Solution

    |

  15. Find equation of the line perpendicular to the line x" " -" "7y" "+" "...

    Text Solution

    |

  16. Find angles between the lines sqrt(3)x+y=1and x+sqrt(3)y=1.

    Text Solution

    |

  17. The line through the points (h, 3) and (4, 1) intersects the line 7x-9...

    Text Solution

    |

  18. Prow that the line through the point (x1> y1) and parallel to the l...

    Text Solution

    |

  19. Two lines passing through the point (2, 3) intersects each other at a...

    Text Solution

    |

  20. Find the equation of the perpendicular bisector of the line segment jo...

    Text Solution

    |