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 glass vessel of volume 100 cm^_3 is filled with mercury and is heated from 25^oc to 75^oc .What volume of mercury will overflow? Coefficient of linear expansion of glass= 1.8 xx10^(-6) c^(-1) and coefficient of volume expansion of mercury is 1.8 xx 10^(-4) C^(-1) .

A aluminum can of cylindrical shape contains 500cm^3 of water. The area of the inner cross section of the can is 125cm^2 . All measurements refer to 10^@C . Find the rise in the water level if the temperature increases to 80^@C . The coefficient of linear expansion of aluminum =23 xx 10^(-6)C^(-1) and the average coefficient of volume expansion of water= 3.2xx10^(-4)C^(-1) respectively.

Find the coefficient of a^3b^4c in the expansion of (1+a-b+c)^9dot

A concrete slab has a length of 10 m on a winter night when the temperature is 0^@C . Find the length of the slab on a summer day when the temperature is 35^@C . The coefficient of linear expansion of concrete is 1.0xx10^(-5) C^(-1) .

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)

The value of coefficient of volume expansion of gycerine is 5 xx 10^(-4) k^(-1) fractional change in the density of gycerine for a rise of 40^(@)C in its temps is

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.

The coefficient of x^(28) in the expansion of (1+x^3-x^6)^(30) is 1 b. 0 c. 30 C_6 d. ^30 C_3

Find the coefficient of x^(13) in the expansion of (1-x)^5xx(1+x+x^2+x^3)^4dot

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).