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A cubic cell consists of two atoms of masses m, and m2(m1 > m2) with m1 and m2 atoms situated on alternate planes. Assuming only nearest neighbour interactions, the centre of mass of the two atoms

A cubic cell consists of two atoms of masses m, and m2(m1 > m2) with m1 and m2 atoms situated on alternate planes. Assuming only nearest neighbour interactions, the centre of mass of the two atoms Correct Answer remains fixed in the optical mode and moves with the atoms in the acoustic mode

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In a cubic crystal, atoms of mass M1 lie on one set of planes and atoms of mass M2 lie on planes interleaved between those of the first set. If C is the forte constant between nearest neighbour planes, the frequency of lattice vibrations for the optical phonon branch with wave vector k = 0 is
Eight friends— A, B, C, D, E, F, G and H are sitting around a circular table facing the centre. Each one of them likes different brands of television—Onida, Sony, Samsung, Micromax, TCL, LG, Toshiba and Sansui, but not necessarily in the same order. A sits third to the right of the person who likes Sansui. A does not like Samsung. E is not an immediate neighbour of H. C sits on the immediate right of the person who likes Samsung.                                     Neither A nor H likes TCL or a Sony. The person who likes TCL is not an immediate neighbour of the person who likes Sansui. The person who likes Onida sits second to the left of E. The person who likes Onida is an immediate neighbour of the both persons who like LG and Toshiba. Person who likes Toshiba sits third to the right of B. B does not like TCL. F is not an immediate neighbour of A. G is not an immediate neighbour of the person who likes Onida. Only two people sit between the person who likes Toshiba and H. The persons who like TCL and the Sony are immediate neighbours of each other. Which of the following brands of television is liked by H?
Study the given information carefully and answer the question that follows. Colleagues Karna, Michelli, Prabhu, Vanaja, Mohan, Raghu, Jockey and Neelima are sitting around a square table in such way that four of them sit at corners and four of them at the middle of the sides. The ones who sit at the corners face outside (opposite to the centre) and the ones who sit at the middle of the sides face towards centre. Vanaja is seated third to the right of Jockey. Vanaja faces towards the centre. Mohan is third to the left of Prabhu. Prabhu is not sitting at middle of any of the sides. Only one person sits between Mohan and Raghu. Raghu is not an immediate neighbour of Prabhu. Neelima faces towards the centre. Karna is not an immediate neighbour of Raghu. Who is an immediate neighbour of both Mohan and Raghu?
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Two particles of equal masses are connected by an inextensible string of length L. One of the masses is constrained to moves on the surface of a horizontal table. The string passes through a small hole in the table and the other mass is hanging below the table. The only constraint is that the first mass moves on the surface of the table. The number of degree of freedom of the masses string system is
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