A 20 m long steel rail is firmly attached to the road bed only at its ends. The sun raises the temperature of the rail by 30-C, causing the rail to buckle. Assuming that the buckled rail consists of two straight parts meeting in the centre, calculate how much the centre of the rail rises? For steel a = 12 * 10%/C.

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Chapter1: Units, Trigonometry. And Vectors
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1. A 20 m long steel rail is firmly attached to the road bed only at its ends. The sun raises
the temperature of the rail by 30°C, causing the rail to buckle. Assuming that the buckled
rail consists of two straight parts meeting in the centre, calculate how much the centre of
the rail rises? For steel a = 12 x 10-6/C.
2. What should be the lengths of a steel and copper rod if the steel rod is 4 cm longer than
the copper rod at any temperature. a(steel) = 1.1 x 10-5/C; a (copper) = 1.7 x 10-5/C.
3. Two glass bulbs of volume 500 and 100 cc are connected by a narrow tube whose volume
is negligible. When the apparatus is sealed off, the pressure of the air inside is 70 cm of
Hg and the temperature 20°C. What does the pressure become if the 100 cc bulb is kept
at 20°C and the other is heated to 100°C?
4. A bubble of gas rises from the bottom of a lake 30 m deep. At what depth will the volume
be thrice as great as it was originally (atmospheric pressure = 0.76 m of mercury; specific
gravity of mercury = 13.6)?
6. A 3.0 g bullet moving at 120 m/s on striking a 50 g block of wood is arrested within the
block. Calculate the rise of temperature of the bullet if (a) the block is fixed; (b) the block
is free to move. The specific heat of lead is 0.031 cal/g C.
7. Calculate the difference in temperature between the water at the top and bottom of a 25
m high waterfall assuming that 15% of the energy of fall is spent in heating the water (J =
4.18 J/Cal).
8. A piece of lead falls from a height of 100 m on to a fixed non-conducting slab which brings
it to rest. Show that its temperature immediately after the collision is raised by
approximately 7.1 K (the specific heat of lead is 30.6 cal/kg 0°C between 0 and 100°C).
9. 1.36 kg of air are held at 6.89 kPa and 38 C. Given that Rair 88.89 J/kg-K, what is the
volume of the container?
10. What is the change in internal energy of 2.27 kg of oxygen gas when the temperature
changes from 38 C to 49 C? (c, = 0.658 kJ/kg-K)
Transcribed Image Text:1. A 20 m long steel rail is firmly attached to the road bed only at its ends. The sun raises the temperature of the rail by 30°C, causing the rail to buckle. Assuming that the buckled rail consists of two straight parts meeting in the centre, calculate how much the centre of the rail rises? For steel a = 12 x 10-6/C. 2. What should be the lengths of a steel and copper rod if the steel rod is 4 cm longer than the copper rod at any temperature. a(steel) = 1.1 x 10-5/C; a (copper) = 1.7 x 10-5/C. 3. Two glass bulbs of volume 500 and 100 cc are connected by a narrow tube whose volume is negligible. When the apparatus is sealed off, the pressure of the air inside is 70 cm of Hg and the temperature 20°C. What does the pressure become if the 100 cc bulb is kept at 20°C and the other is heated to 100°C? 4. A bubble of gas rises from the bottom of a lake 30 m deep. At what depth will the volume be thrice as great as it was originally (atmospheric pressure = 0.76 m of mercury; specific gravity of mercury = 13.6)? 6. A 3.0 g bullet moving at 120 m/s on striking a 50 g block of wood is arrested within the block. Calculate the rise of temperature of the bullet if (a) the block is fixed; (b) the block is free to move. The specific heat of lead is 0.031 cal/g C. 7. Calculate the difference in temperature between the water at the top and bottom of a 25 m high waterfall assuming that 15% of the energy of fall is spent in heating the water (J = 4.18 J/Cal). 8. A piece of lead falls from a height of 100 m on to a fixed non-conducting slab which brings it to rest. Show that its temperature immediately after the collision is raised by approximately 7.1 K (the specific heat of lead is 30.6 cal/kg 0°C between 0 and 100°C). 9. 1.36 kg of air are held at 6.89 kPa and 38 C. Given that Rair 88.89 J/kg-K, what is the volume of the container? 10. What is the change in internal energy of 2.27 kg of oxygen gas when the temperature changes from 38 C to 49 C? (c, = 0.658 kJ/kg-K)
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