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  • Question 1
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    A boat has green light of wavelength λ = 500 nm on the mast. What wavelength would be measured and what colour would be observed for this light as seen by a diver submerged in water by the side of the boat? Given n w = 4/3.

  • Question 2
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    A Young’s double slit interference arrangement with slits S1 and S2 is immersed in water (refractive index = 4/3) as shown in the figure. The positions of maxima on the surface of water are given by x2 = p^2 m^2 λ^2 – d^2, where λ is the wavelength of light in air (refractive index = 1), 2d is the separation between the slits and m is an integer. The value of p is

  • Question 3
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    V1 is the frequency of the series limit of Lyman series, V2 is the frequency of the first line of Lyman series and V3 is the frequency of the series limit of the Balmer series. Then ______.

  • Question 4
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    Consider a Vernier callipers in which each 1 cm on the main scale is divided into 8 equal divisions and a screw gauge with 100 divisions on its circular scale. In the Vernier callipers, 5 divisions of the Vernier scale coincide with 4 divisions on the main scale and in the screw gauge, one complete rotation of the circular scale moves it by two divisions on the linear scale. Then:

  • Question 5
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    An electron in an excited state of Li^2+ ion has angular momentum 3h/2π. The de Broglie wavelength of the electron in this state is pπa0 (where a0 is the Bohr radius). The value of p is

  • Question 6
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    A parallel plate capacitor having plates of area S and plate separation d, has capacitance C1 in air. When two dielectrics of different relative permittivities (ε1 = 2 and ε2 = 4) are introduced between the two plates as shown in the figure, the capacitance becomes C2. The ratio C2/C1 is

  • Question 7
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    Two spherical stars A and B emit black-body radiation. The radius of A is 400 times that of B and A emits 10^4 times the power emitted from B. The ratio (λA/λB) of their wavelengths λA and λB at which the peaks occur in their respective radiation curves is

  • Question 8
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    In an aluminium (Al) bar of square cross section, a square hole is drilled and is filled with iron (Fe) as shown in the figure. The electrical resistivities of Al and Fe are 2.7 × 10–8 Ωm and 1.0 × 10–7 Ωm, respectively. The electrical resistance between the two faces P and Q of the composite bar is

  • Question 9
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    The densities of two solid spheres A and B of the same radii R vary with radial distance r as ρA(r) = k(r/R) and ρB(r) = k(r/R)^5, respectively, where k is a constant. The moments of inertia of the individual spheres about axes passing through their centres are IA and IB, respectively. If IB/IA = n/10 , the value of n is

  • Question 10
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    A bar magnet is equivalent to _______.

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