A wire of length \(10~\text{cm} \) and diameter \(0.5 \text{ mm} \) is used in a bulb. The temperature of the wire is \(1727^{\circ} \text{C}\) and power radiated by the wire \(94.2~\text{W}.\) Its emissivity is \(\dfrac{x}{8}\) then the value of \(x\) is:
(Given \(\sigma=6.0 \times 10^{-8}~ {\text{Wm}}^{-2} {~\text K}^{-4} , \pi=3.14 \) and assume that the emissivity of wire material is same at all)
1. \(5 \)
2. \(4\)
3. \(6\)
4. \(7\)
Subtopic:  Radiation |
 53%
Level 3: 35%-60%
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Two spherical bodies made of the same material have radii of \(0.2~ \text m\) and \(0.8~ \text m,\) and absolute temperatures of \(800 ~ \text K \) and \(400~ \text K\) respectively. Assuming the effect of the surroundings is negligible, if the smaller body radiates energy \(E, \) in a given time, how much energy does the larger body radiate in the same time?
1. \(256 E\)
2. \(16E\)
3. \(64E\)
4. \(E\)
Subtopic:  Radiation |
 82%
Level 1: 80%+
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