Physics MCQs for NEET — Practice Questions with Answers

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Newton’s law of cooling, holds good only if the temperature difference between the body and the surroundings is

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Explanation

(a) I holds good only for small temperature difference between the body and the surroundings i.e. less than 10°C.

The temperature of a body falls from 50°C to 40°C in 10 minutes. If the temperature of the surroundings is 20°C Then temperature of the body after another 10 minutes will be 

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Explanation

(b) In first case 50-4010=K50+402-20           ….(i)
In second case 40-θ210=K40+θ22-20            ….(ii)
By solving θ2=33.3°C.

A body takes 5 minutes to cool from 90°C to 60°C. If the temperature of the surroundings is 20°C, the time taken by it to cool from 60°C to 30°C will be. 

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Explanation

(c) 90-605=K90+602-206=k×55k=655And, 60-30t=65560+302-20t=11 minute

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

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