A liquid of volumetric thermal expansion coefficient = `gamma` and bulk modulus B is filled in a spherical tank of negligible heat expansion coefficient its radius R and wall thickness is t `(tleleR)` when the temperature of the liquid is raised by theta the tensile stress developed in the walls of th tank is:

A liquid whose coefficient of volume expansion is gamma_(r) Completely fills a sealed metal tank at negligible pressure the coefficient of linear expansion of the metal is alpha and the pressure of the liquid will be

A metal rod having coefficient of linear expansion (alpha) and Young's modulus (Y) is heated to raise the temperature by Delta theta . The stress exerted by the rod

A metal rod of Young's modulas F and coefficient of thermal expansion alpha is held at its two ends such that its length remians invariant. If its temperature is raised by t^(@)c , then the linear stress developed in it is

A metal rod of Young's modules Y and coefficient of thermal expansion alpha is held at its two ends such that its length remains constant. If its temperature is raised by t^(@)C , the linear stress developed in it is

A metal rof having coefficient of linear expansion alpha and Young's modulus Y is heated to raise its temperature by Delta theta . The stress exerted by the rod is

A fluid having a thermal coefficient of volume expansion gamma is filled in a cylindrical vessel up to a height h_0 . The coefficient of linear thermal expansion of the material of the vessel is alpha . If the fluid is heated with the vessel , then find the level of liquid when temperature increases by Deltatheta .

The coefficient of volume expansion of a liquid is 4.9xx10^(-4)K^(-1) . Calculate the fractional change in its density when the temperature is raised by 30^(@)C .

Consider a cylindrical container of cross-section area A length h and having coefficient of linear expansion alpha_(c) . The container is filled by liquid of real expansion coefficient gamma_(L) up to height h_(1) . When temperature of the system is increased by Deltatheta then (a). Find out the height, area and volume of cylindrical container and new volume of liquid. (b). Find the height of liquid level when expansion of container is neglected. (c). Find the relation between gamma_(L) and alpha_(c) for which volume of container above the liquid level (i) increases (ii). decreases (iii). remains constant. (d). On the surface of a cylindrical container a scale is attached for the measurement of level of liquid of liquid filled inside it. If we increase the temperature of the temperature of the system by Deltatheta , then (i). Find height of liquid level as shown by the scale on the vessel. Neglect expansion of liquid. (ii). Find the height of liquid level as shown by the scale on the vessel. Neglect expansion of container.