Properties of Solids & Fluids · JEE Main previous year questions

2014 3 questions

1. Q372014 · 6 Apr 2014 · Shift 1

   An open glass tube is immersed in mercury in such a way that a length of $8\mathrm{cm}$ extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional $46\mathrm{cm}$. What will be length of the air column above mercury in the tube now? (Atmospheric pressure $=76\mathrm{cm}$ of $\mathrm{Hg}$)

   1. A.$16\mathrm{cm}$
   2. B.$22\mathrm{cm}$
   3. C.$38\mathrm{cm}$
   4. D.$6\mathrm{cm}$
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   Answer: A

2. Q392014 · 6 Apr 2014 · Shift 1

   The pressure that has to be applied to the ends of a steel wire of length $10\mathrm{cm}$ to keep its length constant when its temperature is raised by $100^{\circ }\mathrm{C}$ is: (For steel Young's modulus is $2\times 10^{11}\mathrm{N}{\mathrm{m}}^{-2}$ and coefficient of thermal expansion is $1.1\times 10^{-5}{\mathrm{K}}^{-1}$ )

   1. A.$2.2\times 10^8\mathrm{Pa}$
   2. B.$2.2\times 10^9\mathrm{Pa}$
   3. C.$2.2\times 10^7\mathrm{Pa}$
   4. D.$2.2\times 10^6\mathrm{Pa}$
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   Answer: A

3. Q412014 · 6 Apr 2014 · Shift 1
   
   1. A.$R^2\sqrt{\frac{{\rho }_{w}g}{3T}}$
   2. B.$R^2\sqrt{\frac{{\rho }_{w}g}{6T}}$
   3. C.$R^2\sqrt{\frac{{\rho }_{w}g}{T}}$
   4. D.$R^2\sqrt{\frac{2{\rho }_{w}g}{3T}}$
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   Answer: D