A piece of steel has a length 2 m at 200K . At 250 K its length increases by 0.1 m. Find the coefficient of cubical expansion of steel.

A metal rod 6.522 m long at 285K expands by 0.576 m at 363K. Find the coefficient of linear expansion of the metal.

The length of a metal rod at 0^(@)C is 0.5m. When it is heated, its length increases, by 2.7 mm.The final temperature of the rod is (coefficient of linear expansion of the metal =90xx10^(-6)//^(@)C )……………. .

A barometer reads 75.0 cm on a steel scale. The room temperature is 30^o C . The scale is correctly graduated for 0^C . The coefficient of linear expansion of steel is alpha=1.2 xx 10^(-5) C^(-1) and the coefficient of volume expansion of mercury is sigma=1.8 xx 10^(_4) C^(-1). ? Find the correct atmospheric pressure.

A steel ball initially at a pressure of 1.0 xx 10^5 Pa is heated from 20^@ C to 120^@ C keeping its volume constant. Find the pressure inside the ball. Coefficient of linear expansion of steel = 12 xx 10^(-6) C^(-1) and bulk modulus of steel = 1.6 xx 10^(11) N m^(-2)

(i) A piece of wire of resistance 10 ohm is drawn out so that its length is increased to three times its original length. Calculate the new resistance. (ii) What is co-efficient of cubical expansion?

Find a positive value of m for which the coefficient of x^2 in the expansion (1+x)^m is 6.

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).

Assertion: the coefficient of volumetric expansion has unit K^(-1) . Reason: the coefficient of cubical expansion is equal to (DeltaV)/(V. DeltaT)