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Standard XII

Physics

Specific Heat Capacity

The temperatu...

Question

The temperature of a piece of metal is raised from $27^{o} C$ to ${51.2}^{o} C$ . The rate at which the metal radiates energy increases nearly

1.36 times

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Solution

The correct option is B 1.36 times
The rate at which a substance radiates is directly proportional to the fourth power of the absolute temperature.
The temperature increases from $300 K$ to $324.2 K$ which is an increase by $1.080$
Hence the rate at which the metal radiates would increase by $(1.08)^{4}$ = $1.36$

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The temperature of a piece of metal is raised from 27oC to 51.2oC. The rate at which the metal radiates energy increases nearly

The correct option is B 1.36 timesThe rate at which a substance radiates is directly proportional to the fourth power of the absolute temperature.The temperature increases from 300K to 324.2K which is an increase by 1.080Hence the rate at which the metal radiates would increase by (1.08)4 = 1.36

The temperature of a piece of metal is raised from $27^{o} C$ to ${51.2}^{o} C$ . The rate at which the metal radiates energy increases nearly