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An x-ray tube is operating at 50 kV and 20 mA. The target material of the tube has mass of 1kg and specific heat $495 J K g^{- 1} ° C^{- 1} .$ One percent of applied electric power is converted into x-rays and the remaining energy goes into heating the target. Then

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a suitable target material must have high melting temperature.

a suitable target material must have low thermal conductivity

The average rate of rise of temperature of the target would be $2 ° C / \sec$

The minimum wavelength of x-rays emitted is about $0.25 \times 10^{- 10} m$

answer is A, C, D.

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Detailed Solution

$P = V I = 50 \times 10^{3} \times 20 \times 10^{- 3} = 1000 J 99 % o f P = 990 J Δ T = \frac{990}{1 \times 195} = 2 ° C λ = \frac{h c}{e v_{0}} = \frac{12400}{50 \times 10^{3}} = 0.25 \times 10^{10} m$

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