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Pune University - SY BSc (Sem - I) PHYSICS - I, April 2010

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Total No. of Questions : 4] [Total No. of Pages : 3 [3717] - 103 P260 S.Y. B.Sc. PHYSICS (Sem. - I) PH - 211 : Mathematical Physics (New) (Paper - I) (21211) Time : 2 Hours] Instructions to the candidates : 1) All questions are compulsory. 2) Figures to the right indicate full marks. 3) Use of calculators and logtables is allowed. 4) Neat diagrams must be drawn wherever necessary. [Max. Marks : 40 Q1) Attempt all of the following: a) State the polar form of complex number and represent it graphically.[1] b) Find degree and order of given differential equation: c) dy 2 d4y + y2 = 0. [1] 4 +6 dx dx r r r r r r rr Determine the value of P if = 3i + P j + k and = 3i 2 j 3k are perpendicular to each other. [1] d) Define conservative and non-conservative force fields. e) [1] Prove that sinh f) = i sin i . [1] r rr rr r r r Find projection of = i 2 j + k on the vector = 4i 4 j + 7k . [1] g) If h) i) j) = 4x2y 2y3z3, find 2 . r r r Find the area of parallel goam whose adjacent sides are i 2 j + 3k and r rr [1] 2i + j 4k . r r r r r 2 2 If v = xyzi + 4 xy z j xyz k , find the value of divergence of v at (1, 1, 3). [1] If z = 2 + 5 i , find (i) complex conjugate of z and (ii) product zz .[1] P.T.O.

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Additional Info : S.Y. B.Sc. Physics (Semister - I), PH - 211 : Mathematical Physics (Paper - I) (New Course), Pune University
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