Related InterviewSolutions

• The linear expansivity of glass is `8xx10^(-6)K^(-1)` and cubical expansivity of mercury is `18xx10^(-5)K`. What volume of mercury must be placed inside a flask of 300cc, so that the volume of the flask not occupied by mercury may remain the same all temperature?
• A glass tube is attached to the bottom of a thin iron rod of length `1m`. To what height must the glass tube be filled with mercury so that the centre of mass of the pendulum formed will not rise or all with changes in temperature? (Linear expansivity of glass `=9xx10^(-6)K^(-1)`, that of iron `=12x10^(-6)K^(-1)` and cubical edxpansivity of mercury `=18.2xx10^(-5)K^(-1)`)
• The compensated pendulum of a clock consista of an isosceles triangular frame of base length `l_(1)` and expansivity `alpha_(1)` and side length `l_(2)` and expansivity `alpha_(2)`. The pendulum is supported as shown in the figure. Calculate the ratio `l_(1)//l_(2)` so that the length of the pendulum may remain unchanged at all temperatures?
• A glass hydrometer reads 9200 in a liquid at `45^(@)C`. What would be the reading at `15^(@)C`? (Cubical expansivity of the liquid `=52.xx10^(-5)//K` and that of glass `=2.4xx10^(-5)//K`)
• A bimetallic strip consiting of a brass strip and a steel strip, each of length `1m` and thickness `1//2` cm is clamped at one end at `0^(@)C`.Calculate the depression of the free end when it is heated to `100^(@)C`.
• If a clock with an uncompensated pendulum of steel keeps correct time at `15^(@)C` how many seconds would it lose is 24 hours at a temperature of `25^(@)`? (Linear expansivity of steel `=12xx10^(-6)K^(-1)`)
• A vessel of volume `0.02m^(3)` contains a mixture of hydrogen and helium, at `20^(@)C` and 2 atm pressure. The mass of the mixture is equal to `5g`. Find the ratio of the mass of hydrogen to that of helium in the given mixture.
• An iron scale is correct at `0^(@)C` an at this temperature, a zinc rod measures `1m` on this scale. What will be the length of the zinc rod as measured by the iron scale when both the are at `100^(@)C`? (Linear expansivity of zinc `=126xx10^(-6)K^(-1)` and linear expansivity of iron `=12x10^(-6)K^(-1)`)
• The scale of a barometer is made of brass and is correct is `15^(@)C`. The reading of the barometer is `0.754m` at `5^(@)C`. Correct this reading to `0^(@)C`. (Linear expansivity of brass `=18x10^(-6)K^(-1)` and cubical expansivity of mercury `=18xx10^(-5)K^(-1)`)
• A composite bar of length `L=L_(1)+L_(2)` is made from a bar of material 1 and length `L_(1)` attached to a bar of material 2 and length `L_(2)`. Find the effective linear expansion `alpha` of this bar.The coefficinets of linear expansion of the material of the rods are `alpha_(1)` and `alpha_(2)` respectively.