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Two metallic plates A and B, each of area 5 x 10^-4 m², are placed parallel to each other at a separation of 1 cm. Plate B carries a positive charge of 33.7 x 10^-12C. A monochromatic beam of light, with photons of energy 5 eV each, starts falling on plate A at t = 0 so that 10¹⁶ photons fall on it per square meter per second. Assume that one photoelectron is emitted for every 10⁶ incident photons. Also assume that all the emitted photoelectrons are collected by plate B and the work function of plate A remains constant at the value 2eV. Determine
(a) the number of photoelectrons emitted up to t = 10 s
(b) the magnitude of the electric field between the plates A and B at t = 10 s, and
(c) the kinetic energy of the most energetic photoelectron emitted at t = 10 s when it reaches plate B
Neglect the time taken by the photoelectron to reach plate B. Take e₀ = 8.85 x 10^-12 C²/N-m²

Chemistry

When propionic acid is treated with aqueous sodium bicarbonate, CO₂ is liberated. The 'C' of CO₂ comes from

(a)	methyl group	(b)	carboxylic acid group
(c)	methylene group	(d)	bicarbonate

Mathematics

The equation of the locus of the mid-points of the circle 4x² + 4y² - 12x + 4y + 1 = 0 that subtend an angle of 2p/3 at its centre is...............

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