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A 30.0 cm long metal rod expands by 0.06...

A `30.0 cm` long metal rod expands by `0.0650 cm` when its temperature is raised from `0^(circ) C` to `100^(circ) C`. A second rod of different metal and of the same length expands by `0.0350 cm` for the same rise in temperature, A third composite rod, also `30.0 cm` long, is made up of pieces of each of the above metals placed end to end and expands by `0.0580 cm` when temperature is increased from `0^(circ) C` to `100^(circ) C`. Find the length (in `cm` ) of the smaller portion of the composite rod at `0^(circ) C`.

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A 30"cm" long metal rod expands by 0.0650"cm" when its temperature is raised from 0^(@)C to 100^(@)C . A second rod of different metal and of the same length expands by 0.0350"cm" for the same rise in temperature. A third composite rod, also 30"cm" long, is made-up of pieses of each of the above metals placed end to end and expands by 0.0580"cm" when temperature is increased from 0^(@)C to 100^(@)C . Find the length of the longer portion of the composite bar in cm at 0^(@)C .

A metal rod (A) of 25 cm length expands by 0.050 cm when its temperature is raised from 0^@ C to 100^@ C . Another rod (B) of a different metal of length 40 cm expamds by 0.040 cm for the same rise in temperature. A third rod ( C) of 50 cm length is made up of pieces of rods (A) and (B) placed end to end expands by 0.03 cm on heating from 0^@ C . Find the lengths of each portion of the composite rod.

Knowledge Check

  • A 30.0 cm long metal rod expands by 0.0650 cm when its temperature is raised from 0^(@)C to 100^(@)C . A second rod of different metal and of the same length expands by 0.0350 cm for the same rise in temperature. A third composite rod, also 30.0 cm long, is made up of pieces of each of the above metals placed end to end and expands by 0.0580 cm when temperature is increased from 0^(@)C to 100^(@)C . the length of the longer portion of the composite bar in cm at 0^(@)C is

    A
    `23 cm`
    B
    `16 cm`
    C
    `18 cm`
    D
    `20 cm`

  • A rod of length 20 cm made of metal A expands by 0.075 when its temperature is raised from 0^(@) C to 100^(@)C . Another rod of a different metal B having the same length expands by 0.045 cm for the same change in temperature. A third rod of the same length is composed of two parts, one of metal A and other of metal B. This rod expands by 0.065 cm for the same change in temperature. The portion made of metal A has the length :

    A
    13.33 cm
    B
    10 cm
    C
    15 cm
    D
    18 cm

  • A rod of length 20 cm is made of metal. It expands by 0.075 cm when its temperature is raised from 0^(@)C to 100^(@)C . Another rod of different metal B having the same length expands by 0.045 cm for the same change in temperature. A third rod of the same length is composed of two parts, one of metal A and the oher of metal B . This rod expandss by 0.060 cm for the same change in temperature. The portion made of metal A has the length :

    A
    `20 cm`
    B
    `10 cm`
    C
    `15 cm`
    D
    `18 cm`sss

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