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What is the percentage change in length of `1m` iron rod it its temperature changes by `100^(@)C. alpha` for iron is `2 xx 10^(-5)//"^(@)C`.

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To find the percentage change in length of a 1m iron rod when its temperature changes by 100°C, we can use the formula for linear expansion. The formula for the change in length (ΔL) is given by: \[ \Delta L = L \cdot \alpha \cdot \Delta T \] Where: - \(L\) = original length of the rod (1 m) ...
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Consider a metal scale of length 30cm and an object. The scale is calibrated for temp 20^(@)C . (a) What is the actual length of division which is shown as 1cm by scale at 40^(@)C . Given alpha_(s) = 2 xx 10^(-5)//"^(@)C . (b) What will be the reading of scale at 40^(@)C if the actual length of objects is 10cm . (c ) What will be the actual length of object at 40^(@)C if is measured length is 10cm . (d) What is % error in measurement for part (b) and (c). (e) If the linear expansion coefficient of object is alpha_(0) = 4 xx 10^(-5) and neglecting the expansion of scale, then answers of (b) and (c) parts. (f) If alpha_(0) = 4 xx 10^(-5) and alpha_(s) =2xx 10^(-5) then find answers of (b) and (c) part.

The length of steel rod exceeds that of a brass rod by 5 cm. If the difference in their lengths remains same at all temperature, then the length of brass rod will be: ( alpha for iron and brass are 12xx10^(-6)//^(@)C and 18xx10^(-6)//^(@)C , respectively)

The length of s steel rod exceeds that of a brass rod by 5 cm. If the difference in their lengths remains same at all temperature, then the length of brass rod will be: ( alpha for iron and brass are 12xx10^(-6)//^(@)C and 18xx10^(-6)//^(@)C , respectively)

A closed pipe of length 1 m emits the fundamental note. What is the percentage change in the frequency when the temperature is changed from 30^@C" to "45^@C.

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 wire 3 m is length and 1 mm is diameter at 30^(@) C is kept in a low temperature at -170^(@)C and is stretched by hanging a weight of 10 kg at one end. The change in length of the wire is [Take, Y=2xx10^(11) N//m^(2), g=10 m//s^(2) and alpha =1.2 xx 10^(-5) //""^(@)C ]

A bar of iron is 10 cm at 20^(@)C . At 19^(@)C it will be ( alpha of iron =11xx10^-6//^(@)C )

Find the ratio of the lengths of an iron rod and an aluminum rod for which the difference in the lengths in independent of temperature. Coefficients of linear expansion of iron and aluminum are 12 xx10^(-6)C^(-1) and 23 xx 10^(-6)C^(-1) respectively.

A steel tape measures that length of a copper rod as 90.0 cm when both are at 10^(@)C , the calibration temperature, for the tape. What would the tape read for the length of the rod when both are at 30^(@)C . Given alpha_("steel")=1.2xx10^(-5)" per".^(@)Cand alpha_(Cu)=1.7xx10^(-5)per .^(@)C

RESONANCE ENGLISH-CALORIMETRY AND THERMAL EXPANSION-Example
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  3. A rectangular plate has a circular cavity as shown in the figure. If w...

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  4. In the given figure, when temperature is increased then which of the f...

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  5. What is the percentage change in length of 1m iron rod it its temperat...

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  6. In the given figure, a rod is free at one end and other end is fixed. ...

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  7. An iron ring measuring 15.00 cm in diameter is a be shrunk on a pulley...

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  8. A steel rod of length 1 m rests on a smooth horizontal base. If it is ...

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  9. A steel rod is clamped at its two ends and rests on a fixes horizontal...

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  10. A steel wire of cross-sectional area 0.5mm^2 is held between two fixed...

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  11. A pendulum clock consists of an iron rod connected to a small, heavy b...

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  12. A bar measured with a vernier caliper is found to be 180 mm long. The ...

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  13. A plane lamina has area 2m^(2) at 10^(@)C then what is its area at 110...

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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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  15. If percentage change in length is 1% with change in temperature of a c...

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  16. The densities of wood and benzene at 0^(@)C are 880 kg//m^(3) and 900 ...

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  17. A glass vessel of volume 100 cm^(3) is filled with mercury and is heat...

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  18. A body is float inside liquid. If we increase temperature then what ch...

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  19. In previous question discuss the case when body move downward, upwards...

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  20. The readings of a thermometer at 0^(@)C and 100^(@)C are 50 cm and 75 ...

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