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question_answer1) A steel rod of length 25 cm has a cross-sectional area of 0.8\[c{{m}^{2}}\]. The force (in N) required to stretch this rod by the same amount as the expansion produced by heating it through \[10{}^\circ C\]is coefficient of linear expansion of steel is\[{{10}^{-5}}{}^\circ {{C}^{-1}}\]. Young's modulus of steel is\[2\times {{10}^{10}}N/{{m}^{2}}\].
question_answer2) A pendulum clock is 5 sec fast at temperature of \[15{}^\circ C\]and 10 sec slow at a temperature of\[30{}^\circ C\]. At what temperature (in \[{}^\circ C\]) does it give the correct time-
question_answer3) 45 gm of alcohol are needed to completely fill up a weight thermometer at\[15{}^\circ C\]. Find the weight (in gm) of alcohol which will overflow when the weight thermometer is heated to\[33{}^\circ C\]. (Given \[{{\gamma }_{a}}=121\times {{10}^{-5}}{}^\circ {{C}^{-1}}\])
question_answer4) A brass rod and a lead rod each 80.00 cm long at \[0{}^\circ C\] are clamped together at one end with their free ends coinciding. The separation (in mm) of the free ends of the rods if the system is placed in steam bath is (coefficients of linear expansions of brass and lead are \[2\times {{10}^{-5}}/{}^\circ C\] and \[1.0\times {{10}^{-5}}/{}^\circ C\] respectively)
question_answer5) At\[4{}^\circ C\], 0.98 of the volume of a body is immersed in water. The temperature (in \[{}^\circ C\]) at which the entire body gets immersed in water \[\left( {{\gamma }_{w}}=3.3\times {{10}^{-4}}{{K}^{-1}} \right)\] is (neglect the expansion of the body)-
question_answer6) An iron tyre is to be fitted onto a wooden wheel 1.0 metre in diameter. The diameter of the tyre is 6 mm, smaller than that of the wheel. The tyre should be heated so that its temperature increases by a minimum of (given coefficient of volume expansion of iron is \[3.6\times {{10}^{-5}}/{}^\circ C\]) (in \[{}^\circ C\])
question_answer7) An iron tyre is to be fitted onto a wooden wheel 100 cm in diameter. The diameter of the tyre is 5 mm smaller than that of the wheel. How much should the temperature (in\[{}^\circ C\]) of the tyre be increased for this purpose? \[\alpha \]for iron \[=12\times {{10}^{-6}}per{}^\circ C\]
question_answer8) Two metal strips, one of brass and other of steel are of equal length 1.5 m and equal thickness 0.25 cm. These are put together riveted and clamped at one end at \[0{}^\circ C\]as shown in fig. If the temperature rises to\[50{}^\circ C\], calculate the radius of curvature (in meter) of the combined strip. \[\alpha \] for brass is \[19\times {{10}^{-6}}/{}^\circ C\],\[\alpha \]for steel\[=11\times {{10}^{-6}}/{}^\circ C\].
question_answer9) A 30 cm long cylinder floats vertically in mercury at\[0{}^\circ C\]. If the temperature rises to\[100{}^\circ C\], find the increase in length of the cylinder (in cm) under mercury. The density of mercury at \[0{}^\circ C\]\[=13.6g/c{{m}^{3}}\], density of iron at \[0{}^\circ C=7.6g/c{{m}^{3}}\],coefficient of volume expansion of mercury \[=1.82\times {{10}^{-4}}/{}^\circ C\]and coefficient of cubical expansion of iron \[=3.51\times {{10}^{-5}}/{}^\circ C\]
question_answer10) A mass of 2 kg is suspended from a fixed point by a wire of length 3m and diameter 0.5 mm. Initially the wire is just unstressed, the mass resting on a fixed support. By how much must the temperature (in\[{}^\circ C\]) fall if the mass is to be entirely supported by the wire? (Y of wire\[=206\text{ }GPa,\alpha =11\times {{10}^{-6}}{}^\circ {{C}^{-1}}\])
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