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A steel bridge 200 m long exists in a l...

A steel bridge 200 m long exists in a locality, where temperature varies from 243 K to 313 K. Find the change in length of the bridge for this variation in temperature. Coefficient of linear expansion of steel is `11 xx 10^(-6)K^(-1)`.

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An iron sphere has a radius of 10 cm at a temperature of 0^(@)C . Calculate the change in the volume of the sphere, if it is heated to 100^(@)C . Coefficient of linear expansion of iron = 11 xx 10^(-6).^(@)C^(-1) .

A clock with a steel pendulum gives accurate time at 30^@C . Calculate the fractional loss or gain in time if temperature changes to 50^@C . Coefficient of linear expansion of steel = 12 xx 10^(-6) ""^@C^(-1)

Knowledge Check

  • At 50^(@)C , a brass rod has a length 50 cm and a diameter 2 mm . It is joined to a steel rod of the same length and diameter at the same temperature . The change in the length of the composite rod when it is heated to 250^(@)C is (Coefficient of linear expansion of brass = 2.0 xx 10^(-5)"^(@) C^(-1) , coefficient of linear expansion of steel = 1.2 xx 10^(-5) "^(@) C^(-1) )

    A
    `0.28` cm
    B
    `0.30` cm
    C
    `0.32` cm
    D
    `0.34` cm

  • Consider a brass rod and a steel rod (80 cm longer than brass rod) at 0^(@)C . It is observed that on increasing temperatures of the two rods by same amount difference in lengths of the two rods does not change. Given that the thermal coefficient of linear expansion for steel and brass are 11xx10^(-6).^(@)C^(-1) and 19xx10^(-6).^(@)C^(-1) respectively. The sum of lengths of the two rods at 0^(@)C is

    A
    2 m
    B
    4 m
    C
    3 m
    D
    1.5 m

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    A metre scale is made up of steel and measures correct length at 16^C . What will be the percentage error if this scale is used (a) on a summer day when the temperature is 46^C and (b) on a winter day when the temperature is 6^C ? Coefficient of linear expansion of steel =11 xx 10^(-6) o^C^(-1) .

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    A steel rod is rigidly clamped at its two ends. The rod is under zero tension at 20^0C . If the temperature rises to 100^0 C , what force will the rod exert on one of the clapms? Area of cross section of the rod = 2.00 mm^2 . Coefficient of linerar expansion of steel = 12.0 xx 10^(-6) ^0 C^(-1) and Young's modulus of steel 2.00 xx 10^(11) N m^(-2) .

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