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A bar of iron is 10 cm at 20^(@)C. At 19...

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

A

`11xx10^(-6)`cm longer

B

`11xx10^(-6)cm` cm shorter

C

`11xx10^(-5)cm` shorter

D

`11xx10^(-5)cm` longer

Text Solution

Verified by Experts

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

A brass sheet is 25 cm long and 8 cm breath at 0^(@) C . Its area at 100^(@)C is (alpha = 18 xx 10^(-6 // ^(@))C)

An iron sphere has a radius of 10 cm at a temperature of 0^(@)C . Calculate the change in volume of the sphere if it is heated to 100^(@)C . Given alpha_(Fe) = 1.1 xx 10^(-6).^(@)C^(-1)

A second's pendulum gives correct time at 25^(@)C . The pendulum shaft is thin and is made of steel. How many second will it lose per day at g 35^(@)C ? (alpha_(steel)=11xx10^(-5)//^(@)C)

A steel scale measures the length of a copper wire as 80.0 cm when both area at 20^(@)C (the calibration temperature for scale). What would be the scale read for the length of the wire when both are at 40^(@)C ? (Given alpha_("steel") = 11 xx 10^(-6) per ^(@)C and alpha_("copper") = 17 xx 10^(-6) per^(@)C )

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.

What will be the stress at -20^(@) C, if a steel rod with a cross-sectional area of 150 mm^(2) is stretched between two fixed points? The tensile load at 20^(@) C is 5000 N (Assume, alpha=11.7xx10^(-6)//^(@)C and Y = 200 xx 10^(11) N//m^(2) )

It is desired to make a 20.0Omega coil of wire whose temperature coefficient of resistance is zero. To do this, a carbon resistor of resistance R_(1) is placed in series with an iron resistor of resistance R_(2) . The proportion of iron and carbon are so chosen that R_(1) +R_(2)= 20 Omega for all temperatures near 20^@C . Find the values of R_(1) and R_(2) . Temperature coefficient of resistance for carbon, alpha_(C)= - 0.5 xx 10^(-3)//^(@)C and that of iron is alpha_(Fe) =5 xx 10^(-3)//^(@)C .

A steel rod is 4000cm in diameter at 30^(@)C A brass ring has an interior diameter of 3.992cm at 30^(@) in order that the ring just slides onto the steel rod the common temperature of the two should be nearly (alpha_(steel)=11xx10^(-6)/(^(@)C) and alpha_(brass)=19xx10^(-6)/(^(@)C)

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