5.If a steel band were to fit snugly around the earth's equator at `25^(@)C` ,but then was heated to `45^(@)C` ,how high above the earth would the band be (assume equal everywhere) and `alpha` for steel be `12times10^(-6)`/C

A steel tape placed around the earth at the equator when the temperature is 10^(@)C . What will be the clearance between the tape and the ground (assumed to be uniform) if the temperature of the tape rises to 40^(@)C ? Neglect expansion of the earth. Radius of earth at equator is 6400 km & alpha_(steel)= 1.2 xx 10^(-5)K^(-1)

Assume that one early morning when the temperature is 10^(@)C a driver of an automobile gets his gasoline tank which is made of steel, filled with 75 L of gasoline, which is also at 10^(@)C Durign the day, the temperature rises at 30^(@)C how much gasoline will overflow ? (Given, alpha for steel = 1.2 xx 10^(-5)"^(@) C^(-1),gamma for gasoline = 9.5 xx 10^(-4)"^(@)C)

A steel tape is correctly calibrated at 20^(@)C and is used to measure the length of a table at 30^(@)C . Find the percentage error in the measurement of length. [alpha_(steel) = 11 xx 10^(-5)//.^(@)C]

Two fines steel wires , fastened between the projectors of a heavy brass bar, are just taut when the whole system is at 0^(@)C . What is the tensile stress in the steel wires the temperature of the system is raised by 200^(@)C ? ( alpha_("glass") = 2 xx 10^(-5) ^(@)C ^(-1), alpha_("steel") = 1.2 xx 10^(-5)"^(@)C^(-1) , Y_("steel") = 200GNm^(-2) )

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

A steel ruler exactly 20 cm long is graduated to give correct measurements at 20^@C . (a) Will it give readings that are too long or too short at lower temperatures? (b) What will be that actual length of the ruler when it is used in the desert at a temperature of 40^@ C ? alpha_(steel = 1.2 xx 10^-5(.^@ C)^-1 .

A steel rular exactly 20 cm long is graduated to give correct measurements at 20^@C . (a) Will it give readings that are too long or too short at lower temperatures? (b) What will be that actual length of the rular when it is used in the desert at a temperature of 40^@ C ? alpha_(steel) = 1.2 xx 10^-5(.^@ C)^-1 .

A cylindrical steel plug is inserted into a circular hole of diameter 2.60 cm in a brass plate. When the plug and the plates are at a temperature of 20^(@)C, the diameter of the plug is 0.010 cm smaller than that of the hole. The temperature at which the plug will just fit in it is ("Given",alpha_(steel)=11xx10^(-6)C^(-1)and alpha_(brass)=19xx10^(-6)C^(-1)

A steel metre scale is to be ruled so that the millimetre intervals are accurate to within about 5 xx 10^(-5) mm at a certain temperature. What is the maximum temperature variation allowable during the ruling ? Given alpha for steel = 1.1 xx 10^(-5).^(@)C^(-1) .

A glass flask is filled up to a mark with 50 cc of mercury at 18^@C . If the flask and contents are heated to 38^@C , how much mercury will be above the mark ( alpha for glass is 9xx10^(-6)//^@C and coeffiecient of real expansion of mercury is 180xx10^(-6)//^@C )?