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Two identical rods are pulled as shown i...

Two identical rods are pulled as shown in figure (1) and (2). The surface are smooth. If `Deltal_(1) and Deltal_(2)` are the elongations in two cases respectively, then find `(Deltal_(2))/(Deltal_(1))`.

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Knowledge Check

  • The spectrum of a black body at two temperatures 27^(@)C and 327^(@)C is shown in the figure. Let A_(1) and A_(2) be the areas under the two curves respectively. Find the value of (A_(2))/(A_(1))

    A
    `16 : 1`
    B
    `8 : 1`
    C
    `9 : 4`
    D
    `16 : 9`

  • Two wires are arranged as shown in the figure. The elongation in upper and lower wire are respectively

    A
    `((m_(1) + m_(2)) gl_(1))/(AY_(1)), (m_(2) gl_(2))/(AY_(2))`
    B
    `((m_(1) - m_(2)) gl_(1))/(AY_(1)), (m_(2) gl_(2))/(AY_(2))`
    C
    `(((m_(1))/(m_(2)) + 1 ) gl_(1))/(AY_(1)), (m_(2) gl_(2))/(AY_(2))`
    D
    `(((m_(1))/(m_(2)) - 1 ) gl_(1))/(AY_(1)), (m_(2) gl_(2))/(AY_(2))`

  • Two identical rods are made of different materials whose thermal conductivities are K_(1) and K_(2) . They are placed end to end between two heat reservoirs at temperatures theta_(1) and theta_(2) . The temperature of the junction of the rod is

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    B
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    C
    `(K_(1)theta_(2) + K_(2)theta_(1))/(K_(1) + K_(2))`
    D
    `(K_(1)theta_(1)+ K_(2)theta_(2))/([K_(1)-K_(2)])`

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