Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Heat and Thermodynamics question

2020 · 7 Jan · Shift 1 · Q65
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /JEE Main
  3. /Physics
  4. /Heat and Thermodynamics
  5. /2020 · 7 Jan · Shift 1 · Q65

Heat and Thermodynamics question

2020 · 7 Jan · Shift 1 · Q65

JEE MainPhysicsHeat and ThermodynamicsNumerical+4 / −1
A non-isotropic solid metal cube has coefficients of linear expansion as : 5 ×\times× 10-5/oC along the x-axis and 5 ×\times× 10-6/oC along the y and the z-axis. If the coefficient of volume expansion of the solid is C ×\times× 10-6/oC then the value of C is
Numerical answer
View written solutionFree

Correct answer: 60

  1. For a solid with different linear expansion coefficients along three mutually perpendicular axes, the coefficient of volume expansion is approximately the sum of the three linear coefficients:

β=αx+αy+αz\beta = \alpha_x + \alpha_y + \alpha_zβ=αx​+αy​+αz​

  1. Given:

αx=5×10−5/∘C\alpha_x = 5 \times 10^{-5}/^\circ Cαx​=5×10−5/∘C αy=5×10−6/∘C\alpha_y = 5 \times 10^{-6}/^\circ Cαy​=5×10−6/∘C αz=5×10−6/∘C\alpha_z = 5 \times 10^{-6}/^\circ Cαz​=5×10−6/∘C

  1. Convert all terms to the same power of 10:

5×10−5=50×10−65 \times 10^{-5} = 50 \times 10^{-6}5×10−5=50×10−6

So,

β=50×10−6+5×10−6+5×10−6\beta = 50 \times 10^{-6} + 5 \times 10^{-6} + 5 \times 10^{-6}β=50×10−6+5×10−6+5×10−6

β=60×10−6/∘C\beta = 60 \times 10^{-6}/^\circ Cβ=60×10−6/∘C

  1. Comparing with the form given in the question:

β=C×10−6/∘C\beta = C \times 10^{-6}/^\circ Cβ=C×10−6/∘C

Hence,

C=60C = 60C=60

  1. Comparison with stored answer:

Stored correct answer = 606060

Our derived answer matches it.

PreviousNext

More from Heat and Thermodynamics

  • M grams of steam at 100oC is mixed with 200 g of ice at its melting point in a thermally insulated container. If it produced liquid water at 40oC [heat of vaporization of water is 540 cal/g and heat of fusion of ice is 80 cal/g] the value…2020 · Numerical
  • Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the mean collision time between the gas molecule changes from τ1​ to τ2​. If Cv​Cp​​=γ for this gas then a good…2020 · MCQ
  • A thermodynamic cycle xyzx is shown on a V-T diagram. The P-V diagram that best describes this cycle is : (Diagrams are schematic and not to scale) Includes diagram2020 · MCQ
  • The plot that depicts the behavior of the mean free time t (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature (T), qualitatively, is: (Graphs are schematic and not drawn to scale)2020 · MCQ
  • Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its CP/CV value will be :2020 · MCQ
  • Three containers C1, C2 and C3 have water at different temperatures. The table below shows the final temperature T when different amounts of water (given in litres) are taken from each containers and mixed (assume no loss of heat during… Includes diagram2020 · Numerical
  • Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure ? where, 1 → 2 is adiabatic. (Graphs are schematic and are not to scale) Includes diagram2020 · MCQ
  • Consider two ideal diatomic gases A and B at some temperature T. Molecules of the gas A are rigid, and have a mass m. Molecules of the gas B have an additional vibrational mode, and have a mass 4m​ . The ratio of the specific…2020 · MCQ