Difficult
$A$ piece of metal weighs $46 \, g$ in air. When it is immersed in a liquid of specific gravity $1.24$ at $27^{\circ}C$,it weighs $30 \, g$. When the temperature of the liquid is raised to $42^{\circ}C$,the metal piece weighs $30.5 \, g$ and the specific gravity of the liquid at $42^{\circ}C$ is $1.20$. Calculate the coefficient of linear expansion of the metal.
- A$3.316 \times 10^{-5} \, ^{\circ}C^{-1}$
- B$2.316 \times 10^{-5} \, ^{\circ}C^{-1}$
- C$4.316 \times 10^{-5} \, ^{\circ}C^{-1}$
- DNone of these
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$(b)$ When we try to close a water tap with our fingers,fast jets of water gush through the openings between our fingers.
$(c)$ The size of the needle of a syringe controls flow rate better than the thumb pressure exerted by a doctor while administering an injection.
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DifficultJEE MAIN 2014
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