Two rods of different materials and identical cross sectional area, are joined face to face at one end their free ends are fixed to the rigid walls. If the temperature of the surroundings is increased by `30^(@)C`, the magnitude of the displacement of the joint of the rod is (length of rods `l_(1) = l_(2) = 1unit`, ratio of their young's moduli, `Y_(1)//Y_(2) = 2`, coefficients of linear expansion are `alpha_(1)` and `alpha_(2)`)

Two rods of different materials having differnet lengths and same cross sectional areas are joined end to end in a straight line. The free ends of this compound rod are maintained at different temperatures The temperature gradient in each rod will be .

Two rods of equal cross sections area are joined end the end as shown in figure. These are supported between two rigid vertical walls. Initially the rods are unstrained . If temperature of system is increased by DeltaT then junction will not shift if -

A brass rod of length 1 m is fixed to a vertical wall at one end, with the other end keeping free to expand. When the temperature of the rod is increased by 120^@C , the length increases by 3 cm . What is the strain?

Two rods having thermal conductivity in the ratio of 5 : 3 having equal lengths and equal cross-sectional area are joined by face to face. If the temperature of the free end of the first rod is 100^(@)C and free end of the second rod is 20^(@)C . Then temperature of the junction is

Two same length rods of brass and steel of equal cross-sectional area are joined end to end as shown in figure and supported between two rigid vertical walls. Initially the rods are unstrained. If the temperature of system is raised by Deltat . Find the displacement of the junction of two rods. Given that the coefficient of linear expansion and young's modulus of brass and steel are apha_(b).alpha_(s)(alpha_(b)gtalpha_(s)),Y_(b) and Y_(s) respectively.

Two rods of equal cross sections area are joined end the end as shown in figure. These are supported between two rigid vertical walls. Initially the rods are unstrained . If temperature of system is increased by DeltaT then shifting in junction if junction if Y_(1)alpha_(1) gt Y_(2)alpha_(2) is given by -

A rod of length l and radius r is joined to a rod of length l//2 and radius r//2 of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of theta^(@) , the twist angle at the joint will be