The length of each rail is `10m` .The linear expansion of steel is `0.000012``/^(@)`C and the range of variation of temperature at the given place is `15^(@)`C .So the gap to be provided between the rails is

(a) The brass scale of a barometer gives correct reading at 0^(@)C . Coefficient of linear expansion of brass is 2.0xx10^(-5)//^(@)C . The barometer reads 75cm at 27^(@)C . What is the atmospheric pressure at 27^(@)C ? (b) A barometer reads 75.0cm on a steel scale. The room temperature is 30^(@)C . The scale is correctly graduated for 0^(@)C . The coefficient of linear expansion of steel is alpha=1.2xx10^(-5)//^(@)C and the coefficient of volume expansion of mercury is gamma=1.8xx10^(-4)//^(@)C . Find the correct atmospheric pressure.

An iron rod and another of brass, both at 27^@C differ in length by 10^-3 m. The coefficient of linear expansion for iron is 1.1xx10^(-5)//^(@)C and for brass is 1.9xx10^(-5)//^(@)C . The temperature at which both these rods will have the same length is

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.

The figure shows two thin rods , one made of aluminium [alpha = 23 xx 10^(-6) (C^(@))^(-1)] and the other of steel [alpha = 12 xx 10^(-6) (C^(@))^(-1)] . Each rod has the same length and the same initial temperature . They are attached at one end to two separate immovable walls. Temperature of both the rods is increased by the same amount , until the gap between the rods vanishes . Where do the rods meet the gap vanishes?

Calculate the safe speed with which a train can negotiate a curve of 50 m radius, where the superelevation of the outer rail above the inner rail is 0.6 m. Given that the distance between the rails is 1 m

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 1.0 xx 10^(-5 @) C^(-1) .

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) .

What is the temperature of the steel-copper junction in the steady state system show in Fig. 7(e).17 ? Length of steel rod = 15.0 cm, length of the copper rod = 10.0 cm, temperature of the furnace =300^(@)C , temperature of other end 0^(@)C . The are of cross-section of the steel rod is twice that of the copper rod. (Thermal conductivity of steel =50.2 js^(-1) m^(-1) K^(-1) and of copper =3895 js^(-1) m^(-1) K^(-1) ).

A solution is to be kept between 30^0C\ a n d\ 35^0C . What is the range of temperature in degree Fahrenheit?

Two rods of equal cross sections, one of copper and the other of steel, are joined to form a composite rod of length 2.0 m at 20^@C , the length of the copper rod is 0.5 m. When the temperature is raised to 120^@C , the length of composite rod increases to 2.002m. If the composite rod is fixed between two rigid walls and thus not allowed to expand, it is found that the lengths of the component rods also do not change with increase in temperature. Calculate Young's moulus of steel. (The coefficient of linear expansion of copper, alpha_c=1.6xx10^(-5@)C and Young's modulus of copper is 1.3xx10^(13)N//m^(2) ).