A system absorbs 196 kJ of heat and the surroundings do

Solution: The line spectrum observed in case of hydrogen atom can be quantitatively explained using Bohr’s model. When an electron jumps from a lower orbit to a higher orbit, it absorbs energy. When the electron jumps from higher orbit to lower orbit, it emits energy. The amount of energy absorbed or emitted when an electron jumps from orbit n(initial orbit) to i orbit nfinal orbit) may be given as: --------(1) Step1: a) The lines of the Lyman series are observed in the ultraviolet region of the electromagnetic spectrum. Step2: b) In the Lyman series, for n = 1,f d n = 2, ti amount of energy emitted is given by: -18 1 1 E = (-2.18 x 10 J) ( 12 2 2) -18 1 1 = (-2.18 x 10 J)( 1 4) = (-2.18 x 10 -18J)(3 / 4) -18 = (-2.18 x 10 J) x (0.75) = -1.635 x 10 -18J Here, (-)ve sign indicates emission of energy. Step3: Wavelength of the radiation, is given by- = hc / E,