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Standard XII

Physics

Matter Waves

A thin square...

Question

A thin square steel plate with each side equal to $10$ cm is heated by a blacksmith. The rate of radiated energy by the heated plate is $1134$ W. The temperature of the hot steel plate is (Stefan's constant $σ = 5.67 \times 10^{- 8} w a t t m^{- 2} K^{- 4}$ , the emissivity of the plate $= 1$ )

1000

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1189

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2000

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2378

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Solution

The correct option is D $1189$ K
The rate of radiated energy $\frac{Q}{t} = P = A ϵ σ T^{4}$
$\Rightarrow 1134 = 5.67 \times 10^{- 8} \times (0.1)^{2} T^{4} \Rightarrow T = 1189 K$

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A thin square steel plate with each side equal to 10 cm is heated by a blacksmith. The rate of radiated energy by the heated plate is 1134W. The temperature of the hot steel plate is (Stefan's constant σ=5.67×10−8wattm−2K−4, the emissivity of the plate =1)

The correct option is D 1189 KThe rate of radiated energy Qt=P=AϵσT4⇒1134=5.67×10−8×(0.1)2T4⇒T=1189K

A thin square steel plate with each side equal to $10$ cm is heated by a blacksmith. The rate of radiated energy by the heated plate is $1134$ W. The temperature of the hot steel plate is (Stefan's constant $σ = 5.67 \times 10^{- 8} w a t t m^{- 2} K^{- 4}$ , the emissivity of the plate $= 1$ )

The correct option is D $1189$ K
The rate of radiated energy $\frac{Q}{t} = P = A ϵ σ T^{4}$
$\Rightarrow 1134 = 5.67 \times 10^{- 8} \times (0.1)^{2} T^{4} \Rightarrow T = 1189 K$