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Thermal Properties of Matter Test - 13

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Thermal Properties of Matter Test - 13
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  • Question 1
    1 / -0
    Keeping the number of moles, volume and temperature the same, which of the following are the same for all ideal gases?
    Solution
    We have the relation PV=nRT (ideal gas equation)
    by keeping the number of moles, volume and temperature same, pressure will also remains same ($$\because$$R is constant)
  • Question 2
    1 / -0
    In the steady state, the two ends of a metel rod are at $$30^oC$$ and $$20^oC$$. The temperature at the 60th cm is
    Solution
    Given the rod is in steady state, and of one meter length. 
    Temperature gradient is a constant.
    $$\dfrac{dT}{dx} = c$$
    $$dT = cdx$$
    $$T = cx +a$$; Substituting the conditions that T(0) = 30 and T(100) = 20;
    $$T = -0.1x + 30;$$
    putting T(60) we get $$T(60) = -6 + 30 = 24^{\circ}C$$
  • Question 3
    1 / -0
    Thermal radiations are similar to
    Solution
    Thermal radiations have high wavelengths and low frequencies, this property is similar to that of X-rays.
  • Question 4
    1 / -0
    How is the velocity of thermal radiations ($$v$$) related to the velocity of light ($$c$$)?
    Solution
    Thermal radiations will transmit as electromagnetic waves. So, the velocity of thermal radiations is equal velocity of light.
    option (C) is the correct answer
  • Question 5
    1 / -0
    A hot and a cold body are kept in vacuum separated from each other. Which of the following causes decrease in temperature of the hot body?
    Solution
    There are only three forms of heat transfer:
    • Conduction, but the two bodies need to be in contact
    • Convection, but there needs to be a medium between them
    • Radiation, this is possible even in vacuum
    Hence, radiation is the only form of heat transfer possible 
  • Question 6
    1 / -0
    In which part of electromagentic spectrum do the heat radiations lie?
    Solution
    Heat radiations have very high wavelengths and hence they fall under infrared.
  • Question 7
    1 / -0
    The material of prism used for obtaining spectrum of heat radiations is
    Solution
    We can't use any kinds of glass to get a heat radiation spectrum, because glass absorbs infrared radiation.
    Rock salt doesn't absorb infrared radiation and hence it can be used.
  • Question 8
    1 / -0
    When water is heated from $$0^{\circ}C$$ to $$10^{\circ}C$$, its volume:
    Solution
    Water exhibits an anomalous behaviour. It contracts on heating between $$0 ^{ o }{ C }$$ and $$4 ^{ o }{ C }$$ , so the volume of the water decreases. Above $$4 ^{ o }{ C 
    }$$ volume increases upon heating. Thus, it has highest density at $$4 ^{ o }{ C }$$
  • Question 9
    1 / -0
    Heat is transmitted from higher to lower temperature through actual mass motion of the molecules in
    Solution
    Conduction: It is the mechanism of heat transfer in which heat is transfer takes place by vibration of molecules and molecules will not leave their original position. 
    Convection: It is a mode of heat transfer by actual motion of mass. It is possible only in fluids.
    Radiation: It does not require any medium to transfer heat. It transfers heat by electromagnetic waves
    option (B) is the correct answer 
  • Question 10
    1 / -0
    For a liquid, the coefficients of apparent expansion '$${\gamma}_{a}$$ 'and real expansion '$${\gamma}_{r}$$' are related as:
    Solution
    $$\gamma_r=\gamma_a + \gamma_g$$ where;
    $$\gamma_r$$ is the real expansion,$$\gamma_a$$ is the apparent expansion and $$\gamma_g$$ is the expansion of the vessel. Hence, $$\gamma_a < \gamma_r$$ 
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