If a piece of metal is heated to temperature and then allowed to cool in a room which is at temperature _0, the graph between the temperature T of the metal and time t will be closest to

if a piece of metal is heated to temperature theta and then

If a piece of metal is heated to temperature $${\theta}$$ and then allowed to cool in a room which is at temperature $${\theta _0},$$ the graph between the temperature $$T$$ of the metal and time $$t$$ will be closest to

Answer : Radiation mcq option image

Solution :
According to Newton’s law of cooling, the temperature goes on decreasing with time non-linearly.

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Heat and Thermodynamics >> Radiation

Releted Question 1

Two metallic spheres $${S_1}$$ and $${S_2}$$ are made of the same material and have got identical surface finish. The mass of $${S_1}$$ is thrice that of $${S_2}.$$ Both the spheres are heated to the same high temperature and placed in the same room having lower temperature but are thermally insulated from each other. The ratio of the initial rate of cooling of $${S_1}$$ to that of $${S_2}$$ is

A. $$\frac{1}{3}$$

B. $${\frac{1}{{\sqrt 3 }}}$$

C. $${\frac{{\sqrt 3 }}{1}}$$

D. $${\left( {\frac{1}{3}} \right)^{\frac{1}{3}}}$$

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Releted Question 2

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

A. 225

B. 450

C. 900

D. 1800

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Releted Question 3

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

A. 225

B. 450

C. 900

D. 1800

View Answer

Releted Question 4

The plots of intensity versus wavelength for three black bodies at temperature $${T_1},$$ $${T_2}$$ and $${T_3}$$ respectively are as shown. Their temperatures are such that

A. $${T_1} > {T_2} > {T_3}$$

B. $${T_1} > {T_3} > {T_2}$$

C. $${T_2} > {T_3} > {T_1}$$

D. $${T_3} > {T_2} > {T_1}$$

View Answer

If a piece of metal is heated to temperature $${\theta}$$ and then allowed to cool in a room which is at temperature $${\theta _0},$$ the graph between the temperature $$T$$ of the metal and time $$t$$ will be closest to

Releted MCQ Question on
Heat and Thermodynamics >> Radiation

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

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

The plots of intensity versus wavelength for three black bodies at temperature $${T_1},$$ $${T_2}$$ and $${T_3}$$ respectively are as shown. Their temperatures are such that

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Radiation

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If a piece of metal is heated to temperature $${\theta}$$ and then allowed to cool in a room which is at temperature $${\theta _0},$$ the graph between the temperature $$T$$ of the metal and time $$t$$ will be closest to

Releted MCQ Question on Heat and Thermodynamics >> Radiation

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

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

The plots of intensity versus wavelength for three black bodies at temperature $${T_1},$$ $${T_2}$$ and $${T_3}$$ respectively are as shown. Their temperatures are such that

Practice More Releted MCQ Question on Radiation

Practice More MCQ Question on Physics Section

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Heat and Thermodynamics >> Radiation

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Radiation