federal Urdu University of Arts Science & Technology Department Applied Physics final Examination Spring 2020 Subject: Methods of Mathematical Physics-I Time: 4+2 Hrs. Note : Please Send your Papers at! ished 76 @gmail. com Also send your papers an whatsapp Q - No - 1 (@ ) 34 X , (t ) = @ 21t-21 2 x, (t ) = Sin (ant + 4), xalt ) is periodic Then find X, (jw) & X, (je) and sketch their magnitudes ( b ) If x ct ) = hut ) = e"ult), ayo then find yet) = xct ) * h(t ). (@ find x(jw) of function shown in fig 1 X(t) Also find fourier transform of ult) using integration property. -1 Q- NO- R ( d) show that X(jo ) of real and even x(t ) is also real and even . (10+ 5+ 10+5) ( a) find the function whose fourier Transform is equal to the daplace transform of x(t). ( 5 ) (6) find Inverse daplace transform of ( 5 + 2 ) ( 5+ 3 ) (52+ 25+ 10 ) (5) ( c ) of f(t ) = 1 6 Sint OLt LK is periodic with period 21 2 then find F (S ). ( 5 ) ( d) Find the transient and steady-state solutions of the forced harmonic oscillator 4 f ( t ) + 3 f ( t ) + 2 f ( t ) = @ (5) given that flo) =0 * f (0 ) = 6 - X