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Monochromatic light of lamba=5000Å is incident on two slits separately by a distance of 5xx10^(-4)m . The interference patteren is seen on a screen placed at a distance of 1m form the slits. A thing glass plate of thicknes 1.5xx10^(-6)m and refractive index mu=1.5 is placed between one of the slits and the screen. Find the intensity at the centre of the screen if the density there is I_(0) in the absence of the plate. Also find the lateral shift of the central maximum. '

The childern are trying to shoot a marble into a marble into a small box using a spring loaded gun that fixed on a table and shoots horizontally from the edge of the table. The centre of the box is a horizontal distance 5m from the edge of the table. The first child compresses the spring a distance 2cm and finds that the marble falls short of its target by a horizontal distance 3m . By what distance x should the second child compress the spring to score a direct hit on the box?

The energy levels of a hypothetical one electron atom are shown in the figure. (a)Find the ionization potential of this atom. (b) Find the short wavelength limit of the series terminating at n=2 (c ) Find the excitaion potential for the state n=3. (d) find wave number of the photon emitted for the transiton n=3 to n=1 prop _______________ 0eV n=5 __________________ -0.80 eV n=4 ______________ -1.45 eV n=3__________________ -3.08 eV n=2_______________ -5.30 eV n=1 ____________________ -15.6 eV .