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A meter scale made of steel is calibrated at `20^@C` to give correct reading. Find the distance between 50 cm mark and 51 cm mark if the scale is used at `10^@C`. Coefficient of linear expansion of steel is `1.1 xx 10^(-5)C^(-1)`

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To solve the problem, we need to find the distance between the 50 cm mark and the 51 cm mark on a steel meter scale when the temperature is reduced to 10°C. The scale was originally calibrated at 20°C. We will use the coefficient of linear expansion of steel to find the new length. ### Step-by-Step Solution: 1. **Identify the Given Values:** - Initial temperature, \( T_1 = 20°C \) - Final temperature, \( T_2 = 10°C \) - Coefficient of linear expansion of steel, \( \alpha = 1.1 \times 10^{-5} \, °C^{-1} \) ...
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A steel rod is clamped at its two ends and rests on a fixes horizontal base. The rod is unstrained at 20^@C . Find the longitudinal strain developed in the rod if the temperature rises to 50^@C . Coefficient of linear expansion of steel =1.2 xx 10^(-5 @)C^(-1) .

A steel rod is clamped at its two ends and rests on a fixes horizontal base. The rod is unstrained at 20^@C . Find the longitudinal strain developed in the rod if the temperature rises to 50^@C . Coefficient of linear expansion of steel =1.2 xx 10^(-5 @)C^(-1) .

A steel rod is clamped at its two ends and rests on a fixed horizontal base. The rod is unstrained at 20^@C . Find the longitudinal strain developed in the rod if the temperature rises to 50^@C . Coefficient of linear expansion of steel =1.2 xx 10^(-5)C^(-1) .

A brass scale is graduated at 10^@C . What is the true length of a zinc rod which measures 60.00 cm on this scale at 30^@C ? Coefficient of linear expansion of brass =18xx10^-6K^-1 .

A steel wire of cross-sectional area 0.5mm^2 is held between two fixed supports. If the wire is just taut at 20^@C , determine the tension when the temperature falls to 0^@C . Coefficient of linear expansion of steel is 1.2 xx 10^(-5)C^(-1) and its Young's modulus is 2.0 xx 10^11 N m^(-2).

A steel wire of cross-sectional area 0.5mm^2 is held between two fixed supports. If the wire is just taut at 20^@C , determine the tension when the temperature falls to 0^@C . Coefficient of linear expansion of steel is 1.2 xx 10^(-5 @)C(-1) and its Young's modulus is 2.0 xx 10^11 N m^(-2) .

A meter 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)C^(-1) .

(a) The brass scale of a barometer gives correct reading at 0^(@)C . Coefficient of linear expansion of brass is 2.0xx10^(-5)//^(@)C . The barometer reads 75cm at 27^(@)C . What is the atmospheric pressure at 27^(@)C ? (b) A barometer reads 75.0cm on a steel scale. The room temperature is 30^(@)C . The scale is correctly graduated for 0^(@)C . The coefficient of linear expansion of steel is alpha=1.2xx10^(-5)//^(@)C and the coefficient of volume expansion of mercury is gamma=1.8xx10^(-4)//^(@)C . Find the correct atmospheric pressure.

A steel tape 1m long is correctly calibrated for a temperature of 27^(@)C . The length of a steel rod measured by this tape is found to be 63.0cm on a hot day when the temperature is 45.0^(@)C . What is the acutual length of the steel rod on that day? what is the length of the same steel rod on a day when the temperature is 27.0^(@)C ? coefficient of linear expansion of steel = 1.20xx10^(-5) .^(@)C^(-1) .

A steel rod is rigidly clamped at its two ends. The rod is under zero tension at 20^@C . If the temperature rises to 100^@ 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 linear expansion of steel = 12.0 xx 10^(-6)C^(-1) and Young's modulus of steel 2.00 xx 10^(11) N m^(-2) .

HC VERMA ENGLISH-HEAT AND TEMPERATURE-Exercise
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  14. The volume of a glass vessel is 1000 cc at 20^@C. What volume of mercu...

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