Thermal Expansion class11th #science#shorts #cbse#neet#reels#short #trending#temperature#education

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:

Two thermally insulated vessels are filled with an ideal gas. The pressure, volume and temperature in the two vessels are P_(1), V_(1), T_(1) and P_(2), V_(2), T_(2) respectively. Now, the two vessels are connected using a short insulating tube. (a) Find final temperature of the gas. (b) Express the final pressure of the gas in terms of P_(1), V_(1), P_(2) and V_(2) only.

A steel bolt of cross-sectional area A_(b) = 5 xx 10^(-5) m^(2) is passed through a cylindrical tube made of aluminium. Cross-sectional area of the tube material is A_(t)= 10^(-4) m^(2) and its length is l = 50 cm . The bolt is just taut so that there is no stress in the bolt and temperature of the assembly increases through /_\theta=10^@C . Given, coefficient of linear thermal expansion of steel, alpha_(b) = 10^(-5)//^@C . Young's modulus of steel Y_(b)=2xx10^(11)N//m^(2) Young's modulus of Al, Y_(t)=10^(11) N//m^(2) , coefficient of linear thermal expansion of Al alpha_(t)=2xx10^(-5)//^@C The compressive strain in tube is

A steel bolt of cross-sectional area A_(b) = 5 xx 10^(-5) m^(2) is passed through a cylindrical tube made of aluminium. Cross-sectional area of the tube material is A_(t)= 10^(-4) m^(2) and its length is l = 50 cm . The bolt is just taut so that there is no stress in the bolt and temperature of the assembly increases through /_\theta=10^@C . Given, coefficient of linear thermal expansion of steel, alpha_(b) = 10^(-5)//^@C . Young's modulus of steel Y_(b)=2xx10^(11)N//m^(2) Young's modulus of Al, Y_(t)=10^(11) N//m^(2) , coefficient of linear thermal expansion of Al alpha_(t)=2xx10^(-5)//^@C The compressive stress in tube is

A steel bolt of cross-sectional area A_(b) = 5 xx 10^(-5) m^(2) is passed through a cylindrical tube made of aluminium. Cross-sectional area of the tube material is A_(t)= 10^(-4) m^(2) and its length is l = 50 cm . The bolt is just taut so that there is no stress in the bolt and temperature of the assembly increases through /_\theta=10^@C . Given, coefficient of linear thermal expansion of steel, alpha_(b) = 10^(-5)//^@C . Young's modulus of steel Y_(b)=2xx10^(11)N//m^(2) Young's modulus of Al, Y_(t)=10^(11) N//m^(2) , coefficient of linear thermal expansion of Al alpha_(t)=2xx10^(-5)//^@C The tensile stress in bolt is

In each of the following questions a short passage is given with one of the lines in the passage missing and represented by a blank. Select the best out of the five answer choices given, to make the passage complete and coherent. Next to China, India is the most populated country in the world.... Particularly, rush to technical and higher education has increased as the scope for arts and science has become lesser and lesser due to lack of reforms and up gradation in the course structure and materials according to the developments of the world. Also, qualification in higher education gives added advantage to face successfully competition in the job market.

A steel string guitar is strung so that there is negligible tension in the strings at a temperature of 24.9^@C . The guitar is taken to an outdoor winter concert where the temperature of the string decrease to - 15.1 ^@C . The cross-sectional area of a particular string is 5.5 xx10^(-6)m^2 . The distance between the points where the string is attached does not change . For steel , Young's modulus is 2.0 xx10^(11) N//m^2 , and the coefficient of linear expansion is 1.2 xx10^(-5)//""^@C . Use your knowledge of liner thermal expansion and stress to calculate the tension in the string at the concert.