Thermal Properties of Matter MCQs for NEET — Physics Questions with Answers

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An object is cooled from 75°C to 65°C in 2 minutes in a room at 30°C. The time taken to cool another object from 55°C to 45°C in the same room in minutes is -

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Explanation

(a) According to Newton’s law of cooling
in first case, 75-65t=K75+652-30       ...(i)

In second case, 55-45t=K55+452-30   ...(ii) 

 Dividing eq. (i) by (ii) we get 

5t10=4020t=4 minutes

A cane is taken out from a refrigerator at 0°C. The atmospheric temperature is 25°C. If t1 is the time taken to heat from 0°C to 5°C and t2 is the time taken from 10°C to 15°C, then 

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Explanation

(b) According to Newton’s law of cooling.

A wall is made up of two layers A and B. The thickness of the two layers is the same, but materials are different. The thermal conductivity of A is double than that of B. In thermal equilibrium the temperature difference between the two ends is 36°C. Then the difference of temperature at the two surfaces of A will be

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Ice starts forming in lake with water at 0°C and when the atmospheric temperature is -10°C. If the time taken for 1 cm of ice be 7 hours, then the time taken for the thickness of ice to change from 1 cm to 2 cm is

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Explanation

(d) t=ρL2x22-x12tx22-x12tt'=x22-x12x'22-x'129t'=12-0222-12t=21 hours

A cylinder of radius R made of a material of thermal conductivity K1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of material of thermal conductivity K2. The two ends of the combined system are maintained at two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective thermal conductivity of the system is 

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A room is maintained at 20°C by a heater of resistance 20 ohm connected to 200 volt mains. The temperature is uniform through out the room and heat is transmitted through a glass window of area 1m2 and thickness 0.2 cm. What will be the temperature outside? Given that thermal conductivity K for glass is 0.2 cal/m °C and J = 4.2 J/cal

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Explanation

(a) Heat developed by the heater

H=V2R.tJ=2002×t20×4.2

Heat conducted by the glass H=0.2×1×20-θt0.002θ=15.24°C

There is formation of layer of snow x cm thick on water, when the temperature of air is -θ°C (less than freezing point). The thickness of layer increases from x to y in the time t, then the value of t is given by

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Explanation

(a)

 If dx thichness forms in time dt with x thickness of ice above it, then;Heat released due to its formation=Heat gained by the icemL=KAθxdtρAdxL=KAθxdtx1x2ρxdxL=0tKθdtt=ρL2x22-x12t=ρL2x2-y2=ρLx+yx-y2

Three rods of identical area of cross-section and made from the same metal form the sides of an isosceles triangle ABC , right angled at B. The points A and B are maintained at temperatures T and 2T respectively. In the steady state the temperature of the point C is TC. Assuming that only heat conduction takes place, TCT is equal to -

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A sphere, a cube and a thin circular plate, all made of the same material and having the same mass are initially heated to a temperature of 1000°C. Which one of these will cool first ?

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Explanation

(a) Rate of cooling θt=AεσT4-T04mcθtA . Since area of plate is largest so it will cool fastest.

Two identical conducting rods are first connected independently to two vessels, one containing water at 100°C and the other containing ice at 0°C. In the second case, the rods are joined end to end and connected to the same vessels. Let q1 and q2 g / s be the rate of melting of ice in two cases respectively. The ratio of is q1/q2

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