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A temperature of 100°F Farenhiet scale is equal to T K Kelvin scale. The value of T is

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A black body at temperature 300K radiates heat at the rate E. If its temperature is increased by 600K, the rate of radiation will increase to -

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Explanation

According to Stefan-Boltzmann law, the rate of radiation emitted by a black body is proportional to the fourth power of its absolute temperature. If the temperature increases from 300K to 900K, the rate of radiation increases by (900/300)^4 = 81 times.

A body cools down from 80°C to 70°C in 5 minutes. the temperature of the body will fall from 70°C to 60°C in a time

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Explanation

Ts=TApplying Newton's law of cooling,For 1st case-105=-bA75-T    ....1For 2nd case-10t=-bA65-T    ....2from 1 and 2 we can say that t>5

Heat capacity is equal to the product of:

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Explanation

Heat capacity = mass x specific heat

When a block of iron floats in Hg at 0°C, a fraction K1 of its volumen= is submerged, while at temperature of 60°C a fraction K2 is seen to be submersed. If the coefficient of volume expansion of iron is γFe and that of mercury is γHg, then the ratio K1K2 can be expressed as:

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Explanation

Let V0 is the volume of the block. Then volume of the block at 600C-V=V01+γironTLet V0' is the volume of block submerged in the mercury, then volumeof the block submerged in the mercury at 600C-V'=V0'1+γmercuryT         Volume of the block submerged in mercury=volume of mercury displacedThen,VV'=V01+γiTV0'1+γmT1K2=1K11+γiT1+γmTK1K2=1+γiT1+γmT=1+60γi1+60γm

Hot water cools from 60°C to 50°C in first 10 minutes and from 50°C to 42°C in next 10 minutes. The temperature of surrounding is :

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Explanation

2θ1 - θ2t = Cθ1 + θ22 - θ01010 = C55 - θ0                                        1810 = C46 - θ0                                         2108= 55 - θ046 - θ0460 - 10θ0 = 440 - 8θ020 = 2θ0θ0 = 10° C

If αc and αf denote the numerical values of coefficient of linear expansion of a solid, expressed  per °C and per °F respectively, then

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Explanation

1α = LLTα  1T

A pendulum clock runs fast by 5 sec. per day at 20°C and goes slow by 10 sec. per day at 35°C. It shows correct time at a temperature of  

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Explanation

212α35 - T×86400 = 10                        ...112αT- 20×86400 = 5                           ...2Solving 1 and 2 T=250C.

A constrained steel rod of length l, area of cross-section A Young's modulus Y and coefficient of linear expansion α is heated through t°C. The work that can be performed by the rod when heated is

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Explanation

W=12FLwhere F=YAαtand L=αLt

A spherical black body with a radius of 12cm radiates 450-watt power at 500 K. If the radius were halved and the temperature doubled, the power radiated in watt would be:

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Explanation

(d)

Radiated power of the black body, P = δAT4

where A=surface area of the body 

          T=temperature of the body 

and,   δ=Stefan's constant 

when radius of the sphere is halved, new area,

              A'=A4

  power radiated.

 P'=δA42T4=164δAT4

=4P=4×450=1800 Watts.

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