List - I List - II (A) Heat capacity of body (I) $J kg^{-1}$ (B) Specific heat capacity of body (II) $J K^{-1}$ (C) Latent heat (III) $J kg^{-1} K^{-1}$ (D) Thermal conductivity (IV) $J m^{-1} K^{-1} s^{-1}$
Physics Quantities and Units Match
The question requires matching physical quantities listed in List - I with their correct units from List - II. We need to determine the standard SI units for each quantity.
- (A) Heat capacity of body: This quantity represents the heat energy required to raise the temperature of an entire object by one Kelvin ($1 K$). Its unit is Joules per Kelvin ($J K^{-1}$). This corresponds to unit (II).
- (B) Specific heat capacity of body: This quantity represents the heat energy required to raise the temperature of a unit mass (typically $1 kg$) of a substance by one Kelvin ($1 K$). Its unit is Joules per kilogram per Kelvin ($J kg^{-1} K^{-1}$). This corresponds to unit (III).
- (C) Latent heat: This is the heat energy absorbed or released during a change of state (e.g., melting, boiling) per unit mass. Its unit is Joules per kilogram ($J kg^{-1}$). This corresponds to unit (I).
- (D) Thermal conductivity: This measures a material's ability to conduct heat. Its SI unit is Watts per meter-Kelvin ($W m^{-1} K^{-1}$), which is dimensionally equivalent to Joules per second per meter-Kelvin ($J s^{-1} m^{-1} K^{-1}$). The unit provided is $J m^{-1} K^{-1} s^{-1}$. This corresponds to unit (IV).
Determining the Correct Option
Based on the analysis, the correct matches are:
- (A) Heat capacity $\rightarrow$ (II) $J K^{-1}$
- (B) Specific heat capacity $\rightarrow$ (III) $J kg^{-1} K^{-1}$
- (C) Latent heat $\rightarrow$ (I) $J kg^{-1}$
- (D) Thermal conductivity $\rightarrow$ (IV) $J m^{-1} K^{-1} s^{-1}$
This combination (A)-(II), (B)-(III), (C)-(I), (D)-(IV) matches option 4.
| List - I Quantity | List - II Unit | Correct Match |
| (A) Heat capacity | (II) $J K^{-1}$ | Correct |
| (B) Specific heat capacity | (III) $J kg^{-1} K^{-1}$ | Correct |
| (C) Latent heat | (I) $J kg^{-1}$ | Correct |
| (D) Thermal conductivity | (IV) $J m^{-1} K^{-1} s^{-1}$ | Correct |
Similar Questions
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Important Questions from Physical and Thermal Properties of Bulk Matter
A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire is 1727°C and power radiated by the wire is 94.2 W. Its emissivity is $\frac{x}{8}$ where x =……
(Given $\sigma = 6.0 \times 10^{-8}$ W m$^{-2}$ K$^{-4}$, $\pi = 3.14$ and assume that the emissivity of wire material is same at all wavelength.)
A water drop of radius $1$ cm is broken into eight equal droplets. Surface tension of water is $0.075$ N $m^{-1}$. The gain in surface energy is __________$\times10^{-7}$ J.(Take $\pi = 3.14$)
- Two water drops of radius 'r' each coalesce to form a single large drop. If 'T' is the surface tension, then the surface energy released in this process is:
- Pressure of an ideal gas, contained in a closed vessel, is increased by $0.4\%$ when heated by $1^\circ C$. Its initial temperature must be:
A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of $800 \ cm^3$ and temperature $27^{\circ}C$. The change in temperature when the gas is adiabatically compressed to $200 \ cm^3$ is:
(Take $\gamma = 1.5$; $\gamma$ is the ratio of specific heats at constant pressure and at constant volume)
