Properties of Solids & Fluids · JEE Main previous year questions

2012 4 questions

1. Q392012 · 26 May 2012 · Shift 1

   The terminal velocity of a small sphere of radius $a$ in a viscous liquid is proportional to

   1. A.$a^2$
   2. B.$a^3$
   3. C.$a$
   4. D.$a^{-1}$
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   Answer: A

2. Q402012 · 12 May 2012 · Shift 1

   Water is flowing through a horizontal tube having cross-sectional areas of its two ends being $A$ and $A^{\prime }$ such that the ratio $A/A^{\prime }$ is 5. If the pressure difference of water between the two ends is $3\times 10^5\mathrm{N}{\mathrm{m}}^{-2}$, the velocity of water with which it enters the tube will be (neglect gravity effects)

   1. A.$5\mathrm{m}{\mathrm{s}}^{-1}$
   2. B.$10\mathrm{m}{\mathrm{s}}^{-1}$
   3. C.$25\mathrm{m}{\mathrm{s}}^{-1}$
   4. D.$50\sqrt{10}\mathrm{m}{\mathrm{s}}^{-1}$
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   Answer: A

3. Q392012 · 7 May 2012 · Shift 1

   A structural steel rod has a radius of $10\mathrm{mm}$ and length of $1.0\mathrm{m}$. A $100\mathrm{kN}$ force stretches it along its length. Young's modulus of structural steel is $2\times 10^{11}\mathrm{N}{\mathrm{m}}^{-2}$. The percentage strain is about

   1. A.$0.16\%$
   2. B.$0.32\%$
   3. C.$0.08\%$
   4. D.$0.24\%$
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   Answer: A

4. Q432012 · 7 May 2012 · Shift 1

   A perfect gas at $27^{\circ }\mathrm{C}$ is heated at constant pressure so as to double its volume. The final temperature of the gas will be, close to

   1. A.$327^{\circ }\mathrm{C}$
   2. B.$200^{\circ }\mathrm{C}$
   3. C.$54^{\circ }\mathrm{C}$
   4. D.$300^{\circ }\mathrm{C}$
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   Answer: A