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Match the temperature of a black body given in List-I with an appropriate statement in List-II, and choose the correct option. [Given: Wien’s constant as 2.9 × 10−3 m-K and β„Žπ‘ 𝑒 = 1.24 × 10−6 V-m] List-I List-II (P) 2000 K (1) The radiation at peak wavelength can lead to emission of photoelectrons from a metal of work function 4 eV. (Q) 3000 K (2) The radiation at peak wavelength is visible to human eye. (R) 5000 K (3) The radiation at peak emission wavelength will result in the widest central maximum of a single slit diffraction. (S) 10000 K (4) The power emitted per unit area is 1/16 of that emitted by a blackbody at temperature 6000 K. (5) The radiation at peak emission wavelength can be used to image human bones. (A) 𝑃 → 3,𝑄 → 5, 𝑅 → 2, 𝑆 → 3 (B) 𝑃 → 3,𝑄 → 2, 𝑅 → 4, 𝑆 → 1 (C) 𝑃 → 3,𝑄 → 4, 𝑅 → 2, 𝑆 → 1 (D) 𝑃 → 1,𝑄 → 2, 𝑅 → 5, 𝑆 → 3

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A thin conducting rod MN of mass 20 gm, length 25 cm and resistance 10 Ξ© is held on frictionless, long, perfectly conducting vertical rails as shown in the figure. There is a uniform magnetic field 𝐡0 = 4 T directed perpendicular to the plane of the rod-rail arrangement. The rod is released from rest at time 𝑑 = 0 and it moves down along the rails. Assume air drag is negligible. Match each quantity in List-I with an appropriate value from List-II, and choose the correct option. [Given: The acceleration due to gravity 𝑔 = 10 m s −2 and 𝑒 −1 = 0.4] List-I List-II (P) At 𝑑 = 0.2 s, the magnitude of the induced emf in Volt (1) 0.07 (Q) At 𝑑 = 0.2 s, the magnitude of the magnetic force in Newton (2) 0.14 (R) At 𝑑 = 0.2 s, the power dissipated as heat in Watt (3) 1.20 (S) The magnitude of terminal velocity of the rod in m s −1 (4) 0.12 (5) 2.00 (A) 𝑃 → 5,𝑄 → 2, 𝑅 → 3, 𝑆 → 1 (B) 𝑃 → 3,𝑄 → 1, 𝑅 → 4, 𝑆 → 5 (C) 𝑃 → 4,𝑄 → 3, 𝑅 → 1, 𝑆 → 2 (D) 𝑃 → 3,𝑄 → 4, 𝑅 → 2, 𝑆 → 5

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