Physics. AIEEE Solved Paper M 1 2. Key. (3) e Sol. = 2 e. C Cl. CH 3 C O CH 2 CH 3 + NaCl Nucleophilic acyl substitution.

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1 wwwjntuwoldcom PDFaidCom # Pdf Solutions wwwjntuwoldcom AIEEE--CODE-P : CHCHO Na + + CH O C Cl O CH C O CH CH + NaCl Nucleophilic acyl substitution AIEEE Solved Pape - 9 The deee of dissociation (α) of a weak electolyte, A B y is elated to van t Hoff facto (i) by the epession i () α + y () () () Key: () ( ) i α + y + + y α i + y+ α i : A B y Physics A y+ + yb α α yα Van t Hoff facto i - α + α + yα i + y α ( ) Silve Mio test is iven by which one of the followin compounds? () Acetaldehyde () Acetone () Fomaldehyde () Benzophenone Key: () o () : R CHO + A ( NH ) + OH + + RCOO + A + NH PHYSICS of wate is heated fom ºC to 5ºC Inoin the sliht epansion of the wate, the chane in its intenal eney is (specific heat of wate is 8 J/K/K) () kj () 8 kj () 8 kj () kj Key () U 8 8 kj () The half life of a adioactive substance is minutes The appoimate time intenal (t t ) between the time t when of it had decayed is () 7 min () min () min () 8 min Key () λt e λ t e ln t t T min () λ A mass M, attached to a hoizontal spin, eecutes SHM with amplitude A When the mass M passes thouh its mean position then a smalle mass m is placed ove it and both of them move toethe with amplitude A The A atio of is A M M+ m () () M+ m M () M M+ m () M+ m M Key () COM k MA (M M m)v + k Also V A M + m () Eney equied fo the electon ecitation in Li ++ fom the fist to the thid Boh obit is () ev () ev () 88 ev () ev Key () U () 88 ev () 5 The tansvese displacement y (, t) of a wave on a stin is iven by (a bt ab t) y(,t) e + + This epesents a () wave movin in + diection with speed a b () wave movin in + diection with speed b a () standin wave of fequency b () standin wave of fequency b Key () () ( a bt) y(, t) e +

2 wwwjntuwoldcom wwwjntuwoldcom A esisto R and F capacito in seies in connected thouh a switch to V diect supply Acoss the capacito is a neon bulb that lihts up at V Calculate the value of R make the bulb liht up 5 s afte the switch has been closed (lo 5 ) () Ω () 7 5 Ω () 7 Ω () 7 Ω Key () t RC V V e 5 e R R 7 Ω 7 () 7 A cuent I flows in a infinitely lon wie with coss section in the fom of a semi cicula in of adius R The manitude of the manetic induction alon its ais is I I () () R R () I () I R R Key () I d θ I B dbsin sin R R () db dθ 8 A Canot enine opeatin between tempeatues T and T has efficiency inceases to Then T and T ae, espectively : () 7 K and K () 7 K and K () K and 8 K () K and 8 K Key () T η T () 9 An object, movin with a speed of 5 m/s, is deceleated at a ate iven by dv 5 v dt whee v is the instantaneous speed The time taken by the object, to come to est, would be θ () s () s () s () 8 s Key () t dθ 5 d t 5 v t s () AIEEE--CODE-P The electostatic potential inside a chaed spheical ball is iven by φ a + b whee is the distance fom the cente; a, b ae constants Then the chae density inside the ball is () aε () aε () aε () aε Key () Now, φ a + b E a qencl E ds ε sphee a ρ a ε () ρ ε A ca is fitted with a conve side view mio of focal lenth cm A second ca 8 m θ θ behind the fist ca is ovetakin the fist ca at a elative speed of 5 m/s The speed of the imae of the second ca as seen in the mio of the fist one is () m/s () m/s 5 () m/s (D) 5 m/s Key () + v u f dv du v dt u dt dv 8 5 m / s dt () If a wie is stetched to make it % lone, its esistance will () incease by 5% () incease by % () decease by % () decease by 5% Key () l ρl R ρ A (Volume) R l

3 wwwjntuwoldcom wwwjntuwoldcom AIEEE--CODE-P R l R l () Thee pefect ases at absolute tempeatues T, T and T ae mied The masses of molecules ae m, m and m and the numbe of molecules ae n, n and n espectively Assumin no loss of eney, the final tempeatue of the mitue is (T + T + T ) () + + () n + n + n () () + + Key () n Numbe of moles of fist as N n Numbe of moles of second as N n Numbe of moles of thist as NA If no loss of eney then P V + P V + P V PV n n n RT + RT + RT N N N T A A A n+ n + n RT mi NA mi () + + n + n + n Two identical chaed sphees suspended fom a common point by two massless stins of lenth l ae initially a distance d (d << l ) apat because of thei mutual epulsion The chae beins to leak fom both the sphees at a constant ate As a esult the chaes appoach each othe with a velocity v Then as a function of distance between them, () () Key () v () A v v () v Kq Tsinθ (i) Tcosθ m (ii) A Tanθ l l Kq F e l kq m kq l m q Tcosθ m d dq q dt dt v q v () Tsinθ θ (i) l - 5 Wok done in inceasin the size of a soap bubble fom a adius of cm to 5 cm is nealy (suface tension of soap solution Nm ) () mj () mj () mj () mj Key () W (suface eney) final (suface eney) initial W T ( 5 ) ( mj mj () A fully chaed capacito C with initial chae q is connected to a coil of self inductance L at t The time at which the eney is stoed equally between the electic and the manetic fields is () LC () LC () LC () LC Key () q q Li + C C diffeentiatin wt t di q dt LC dq q dt LC 8

4 wwwjntuwoldcom wwwjntuwoldcom AIEEE--CODE-P d Compain ω dt ω LC So, q q cosωt (Q at t, q q ) q Fo half eney q q So, q cos t ω ω t t ω () LC 7 Two bodies of masses m and m ae placed at a distance The avitational potential at a point on the line joinin them whee the avitational field is zeo is Gm () zeo () () Key () Gm () m 9Gm (-n) Let avitational field at P is zeo Gm G m ( n) Now potential at P Gm G(m) VP ( n) Gm Gm (/) (/) 9Gm () m () continuously inceases () fist inceases and then deceases Key () Anula momentum L Iω L m ω Since fist decease then inceases So due to consevation of anula momentum L fist inceases then deceases 9 Let the z plane be the bounday between two tanspaent media Medium in z has a efactive inde of and medium with z < has a efactive inde of A ay of liht in medium iven by the vecto A i ˆ+ 8 j ˆ kˆ is incident on the plane of sepaation The anle of efaction in medium is () º () 5º () º () 75º Key () Anle of incidence with Z diection (nomal) cosα () ( ) ( ) α º So, sin α sin β sin sinβ β 5º () 5 Two paticles ae eecutin simple hamonic motion of the same amplitude A and fequency ω alon the ais Thei mean position is sepaated by distance X (X > A) If the maimum sepaation between them is (X + A), the phase diffeence between thei motion is () () () () Key () 8 A thin hoizontal cicula disc is otatin about a vetical ais passin thouh its cente An insect is at est at a point nea the im of the disc The insect now moves alon a diamete of the disc of each its othe end Duin the jouney of the insect, the anula speed of the disc () emains unchaned () continuously deceases 9

5 wwwjntuwoldcom wwwjntuwoldcom AIEEE--CODE-P 5 Diection : The question has a paaaph followed by two statements, Statement and Statement Of the iven fou altenatives afte the statements, choose the one that descibes the statements A thin ai film is fomed by puttin the conve suface of a plane conve lens ove a plane lass plate With monochomatic liht, this film ives an intefeence patten due to liht eflected fom the top (conve) suface and the bottom (lass plate) suface of the film Statement : When liht eflects fom the ai lass plate inteface, the eflected wave sufes a phase chane of Statement : The cente of the intefeence patten is dak () Statement is Tue, Statement is False () Statement is Tue, Statement is Tue; Statement is a coect eplanation fo Statement () Statement is Tue, Statement is Tue; Statement is not the coect eplanation fo Statement () Statement is False, Statement is Tue Key () 5 A themally insulated vessel contains an ideal as of molecula mass M and atio of specific heats γ It is movin with speed v and is suddenly bouht to est Assumin no heat is lost to the suoundins, its tempeatue inceases by ( γ) () Mv K ( γ+ )R () ( γ) Mv K R γ Mv K () γ R () ( γ ) Mv K R Key () R Mv T γ T ( γ) Mv K R () 5 A scew aue ives the followin eadin when used to measue the diamete of a wie Main scale eadin : 9 mm Cicula scale eadin : 5 divisions Given that mm on main scale coesponds to divisions of the cicula scale The diamete of wie fom the above data is () 5 cm () 5 cm () cm () 5 cm Key () d MSR + CSR mm () 5 A boat is movin due east in a eion whee the eath s manetic field is 5 5 NA m due noth and hoizontal The boat caies a vetical aeial m lon If the speed of the boat is 5 ms, the manitude of the induced emf in the wie of aeial is () mv () 75 mv () 5 mv () 5 mv Key () ε ind Bvl () mv 55 Diection : The question has Statement and Statement Of the fou choices iven afte the statements, choose the one that descibes the two statements Statement : Sky wave sinals ae used fo lon distance adio communication These sinals ae in eneal, less stable than ound wave sinals Statement : The state of ionosphee vaies fom hou to hou, day to day and season to season () Statement is Tue, Statement is False () Statement is Tue, Statement is Tue; Statement is a coect eplanation fo Statement () Statement is Tue, Statement is Tue; Statement is not the coect eplanation fo Statement () Statement is False, Statement is Tue Key ()

6 wwwjntuwoldcom wwwjntuwoldcom AIEEE--CODE-P 5 A mass m hans with the help of a stin wapped aound a pulley on a fictionless beain The pulley has mass m and adius R Assumin pulley to be a pefect unifom cicula disc, the acceleation of the mass m, if the stin does not slip on the pulley, is () () () () Key () Equations of motion ae m T ma (i) and T R mr (ii) α and a Rα (iii) Solvin a () 57 A wate fountain on the ound spinkles wate all aound it If the speed of wate comin out of the fountain is v, the total aea aound the fountain that ets wet is v v () () () Key () v () v A Rma () v 58 Diection : The question has Statement and Statement Of the fou choices iven afte the statements, choose the one that descibes the two statements Statement : A metallic suface is iadiated by a monochomatic liht of fequency v > v (the theshold fequency) The maimum kinetic eney and the stoppin potential ae K ma and V espectively If the fequency incident on the suface is doubled, both the K ma and V ae also doubled Statement : The maimum kinetic eney and the stoppin potential of photoelectons emitted fom a suface ae linealy dependent on the fequency of incident liht Key () () Statement is Tue, Statement is False () Statement is Tue, Statement is Tue; Statement is a coect eplanation fo Statement () Statement is Tue, Statement is Tue; Statement is not the coect eplanation fo Statement () Statement is False, Statement is Tue Kma hv w K ev and ma S () 59 A pulley of adius m is otated about its ais by a foce F (t 5t ) Newton (whee t is measued in seconds) applied tanentially If the moment of inetia of the pulley about its ais of otation is k m, the numbe of otations make by the pulley befoe its diection of motion if evesed, is () less than () moe than but less than () moe than but less than 9 () moe than 9 Key () τ α t t I dω t t dt t ω t ω is zeo at t s and t s d t Now t dt θ t t θ at t s ad numbe of otations < () Wate is flowin continuously fom a tap havin an intenal diamete 8 m the wate velocity as it leaves the tap is ms The diamete of the wate steam at a distance m below the tap is close to () 5 m () 75 m () 9 m () m Key () A v A v and v v + h ()

AIEEE Solved Paper (4) Statement 1 is False, Statement 2 is (3) g. Key. (4) Sol. Mathmatics. Key. (2) Sol. I. ω is zero at t = 0s and t = 6s

AIEEE Solved Paper (4) Statement 1 is False, Statement 2 is (3) g. Key. (4) Sol. Mathmatics. Key. (2) Sol. I. ω is zero at t = 0s and t = 6s www.jntuwold.com PDFaid.Com # Pdf Solutions www.jntuwold.com 56. A mass m hans with the help of a stin wapped aound a pulley on a fictionless beain. The pulley has mass m and adius R. Assumin pulley to