d i m / s, gb g I K J H G I K J ln 2 Part - A Physics Q 4 Q (2) LA M If g 10 m / s, the equation of its trajectory is: y 2x 5x

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1 JEE ai []. A char Q is uiformly distriutd ovr a lo rod AB of lth as show i th fiur. Th lctric pottial at th poit lyi at a distac from th d A is () () Q 4 l Q 8 () Ql 4 Q 4 z Q d Q As: [] V p p H G l 4 4 Part - A Physics 4. A uiform cylidr of lth ad mass havi cross-sctioal ara A is suspdd, with its lth vrtical, from a fid poit y a masslss spri, such that it is half sumrd i a liquid of dsity at As: [] quilirium positio. Th tsio of th spri wh it is i quilirium is () () A Hr is spri costat () A A. A soomtr wir of lth.5 m is mad of stl. Th tsio i it produs a lastic strai i %. What is th fudamtal frqucy of stl if dsity ad lasticity of stl ar 7. 7 / m ad. N / m ().5 Hz () 77 Hz () 88.5 Hz 78. Hz As: [4] strai Y A v strai Y.. f A B A 5. Th raph tw al of dviatio ( ) ad al of icidc (i) for a triaular prism is rprstd y Hz () d i m / s,. A proctil is iv a iitial vlocity of i whr i is alo th roud ad is alo th vrtical. f m / s, th quatio of its tractory is: () () 4y 5 () 4y 5 () y 5 y 5 vy v As: [4] ta, 5 m / s () y ta ta u y 5

2 JEE ai [] As: [] 6. Diamtr of a plao-cov ls is 6 cm ad thicss at th ctr is mm. f spd of liht i matrial of ls is 8 m / s, th focal lth of th ls is () cm () cm () 5 cm cm 8. A am of upolarisd liht of itsity is passd As: [] throuh a polaroid A ad th throuh aothr polaroid B which is oritd so that its pricipal pla mas a al of 45 o rlativ to that of A. Th itsity of th mrt liht is () / 4 () / 8 () / As: [] rom fiur, R R ~ 5 cm R. R.. of ls = v 5. 8 K J 5. f f 5 K J cm 7. Th supply volta to a room is V. Th rsistac of th lad wirs is 6. A 6 W ul is alrady switchd o. What is th dcras of volta across th ul, wh a 4 W hatr is switchd o i paralll to th ul? (). Volt ().4 Volt () zro Volt.9 Volt cos Th amplitud of a dampd oscillator dcrass to.9 tims its oriial maitud i 5 s. aothr s it will dcras to tims its oriial maitud whr quals. ().79 ().6 ().7.8 As: [] As amplitud dcrass potially so i ach 5s, th amplitud will dcrass to.9 tims its oriial maitud. As th total tim itrval is 5 s. So A A A. 79. Two cohrt poit sourcs S ad S ar sparatd y a small distac 'd' as show. Th fris otaid o th scr will As: [] R 4 6 R h 6 4 R Rh R 48 R R V V (Bfor cocti hatr) V V (Aftr coti hatr) So V V. 4 V () smi-circls () coctric circls () poits straiht lis As: [] Th locus of poits havi sam path diffrc is circl i th iv situatio so th itrfrc pattr producd o th scr will cosist of coctric circls.. A mtallic rod of lth is tid to a stri of lth ad mad to rotat with aular spd o a horizotal tal with o d of th stri fid. f thr is a vrtical matic fild 'B' i th rio, th.m.f. iducd across th ds of th rod is

3 JEE ai [] () 4 B () 5 B As: [] Th ra of ammtr icrass with dcras i rsistac. So statmt- is fals ad statmt- is tru. 4. Two chars, ach qual to q, ar pt at a ad a o th -ais. A particl of mass m ad char q q is placd at th orii. f char q is iv a small displacmt y a alo th y-ais, th t forc acti o th particl is proportioal to () B N As: [] B Vav B 5 B B. f a pic of mtal is hatd to tmpratur ad th allowd to cool i a room which is at tmpratur th raph tw th tmpratur T of th mtal ad tim t will closst to: () y As: [] () y () y y Wh th char +q is displacd from its quilirium positio y latral displacmt y [i.] th t forc acti o it () () q y q R cos 4 a y 4 a y / a y / which for y a rducs to As: [] (). This qustio has statmt ad statmt. f th four choics iv aftr th Statmts, choos th o that st dscris th two Statmts. Statmt- Hihr th ra, ratr is th rsistac of ammtr. Statmt- To icras th ra of ammtr, additioal shut ds to usd across it. () Statmt - is tru, Statmt- is fals () Statmt - is fals, Statmt- is tru () Statmt - is tru, Statmt- is tru Statmt- is th corrct plaatio of Statmt- Statmt - is tru, Statmt- is tru Statmt- is th ot th corrct plaatio of Statmt- q R 4 a y 5. This qustio has Statmt ad Statmt. f th four choics iv aftr th Statmts, choos th o that st dscris th two Statmts. Statmt-: A poit particl of mass m movi with spd v collids with statioary poit particl of mass. f th maimum ry loss possil is iv as. f mv th f m m Statmt-: aimum ry loss occurs wh th particls t stuc tothr as a rsult of th collisio tioal shut ds to usd across it. () Statmt - is tru, Statmt- is fals () Statmt - is fals, Statmt- is tru () Statmt - is tru, Statmt- is tru Statmt- is th corrct plaatio of Statmt- Statmt - is tru, Statmt- is tru Statmt- is th ot th corrct plaatio of Statmt- As: [] Hr statmt is fals as maimum ry which ca lost i a collisio is m m v

4 JEE ai [4] 6. Th - V charactristic of a ED is () () 8. Two capacitors C ad C ar chard to V ad V rspctivly. t is foud that y cocti thm tothr th pottial o ach o ca mad zro. Th: () C 5C () 9C 4C () 5C C C 5C As: [4] or fial pottial to zro, chars o oth must qual (opposit plats has to coctd) i.. C V C V C 5C 9. What is th miimum ry rquird to lauch a statllit of mass m from th surfac of a plat of mass ad radius R i a circular orit at a altitud of R () Gm R () Gm R () () 5 Gm 6R Gm R As: [] itial ry wh it was o surfac Gm Ei R ially, wh it is i orit Gm Gm E f R 6R E E E Gm f i 5 6R. As: [] Th corrct - V charatrcis. Curv is a show i () 7. Assum that a drop of liquid vaporats y dcras i its surfac ry, so that its tmpratur rmais uchad. What should th miimum radius of th drop for this to possil? Th surfac tsio is T, dsity of liquid is ad is its latt hat of vaporizatio () T / () T / () / T T / As: [] or a small cha of radius R, th ry cha du to surfac tsio, E 4 R R T 4R T 8RRT Equati it with ry rquird for vaporatio, 8RRT 4R R R T Th aov p v diaram rprsts th thrmodyamic cycl of a i, oprati with th idal mooatomic as. Th amout of hat, tractd from th sourc i a sil cycl is () K J p v () 4 p v () p v K J p v As: [4] Hat is tractd from sourc i procss & oly. Q Cv T p f v f p v p v Q Cp T 5 p f v f p v 5p v K J Q p v tractd 5 p v

5 JEE ai [5]. A circular loop of radius. cm lis paralll to a much ir circular loop of radius cm. Th ctr of th small loop is o th ais of th ir loop. Th distac tw thir ctrs is 5 cm. f a currt of. A flows throuh th smallr loop, th th flu lid with ir loop is (). wr () wr () 9. wr 6 wr S As: [] i i S S Cosidri currt i ir coil, w fid flu i smallr coil. ir / R K J r S W. A diod dtctor is usd to dtct a amplitud modulatd wav of 6% modulatio y usi a capacitor of capacity 5 pico farad i paralll with a load rsistac ilo ohm. id th maimum modulatd frqucy which could dtctd y it () 5. Hz () 5. Hz ().6 Hz.6 Hz As: [ ]. A idal as closd i a vrtical cylidrical cotair supports a frly movi pisto of mass. Th pisto ad th cylidr hav qual cross sctioal ara A. Wh th pisto is i quilirium, th volum of th as is V ad its prssur is p. Th pisto is slihtly displacd from th quilirium positio ad rlasd. Assumi that th systm is compltly isolatrd from its surroudi, th pisto cuts a simpl harmoic motio with frqucy. () () A P V AP V () V AP V P A As: [] No hat cha is tai plac, hc it is a adiaatic procss, so lt pisto is displacd slihtly say distac dowwards th P v A P V N or P P V P A V Now applyi wtos scod law o pisto t H G A P A V a KJ or a N or f P A V P A V P A V 4. A hoop of radius r ad mass m rotati with a aular vlocity is placd o a rouh horizotal surfac. Th iitial vlocity of th ctr of th hoop is zro. What will th vlocity of th ctr of th hoop wh its cass to slip? () r () r 4 () r r As: [] Th aular momtum of th loop will cosrvd aout its iitial poit of cotact. t v th spd of ctr of mass wh slippi lass, applyih i f V mr mr V H G r mvr 5. Two short ar mats of lth cm ach hav matic momts. Am ad. Am rspctivly. Thy ar placd o a horizotal tal paralll to ach othr with thir N pols poiti towards th south. Thy hav a commo matic quator ad ar sparatd y a distac of. cm. Th valu of th rsultat horizotal matic iductio at th mid-poit of th li oii thir ctrs is clos to (Horizotal compot of arth's matic iductio is 6. 5 W / m ) () 5. 4 W / m () W / m () 6. 5 W / m W / m As: [4] Th fild cratd y th mats alo at th poit 7 B m m r 4.. T alo orth 4 dirctio. Bt Bm BH, arth T T = T

6 JEE ai [6] 6. Th aod volta of a photocll is pt fid. Th wavlth of th liht falli o th cathod is radually chad. Th plat currt of th photocll varis as follows. () () () 8. a hydro li atom lctro mas trasitio from a ry lvl with quatum umr to aothr with quatum umr ( ). f >>, th frqucy of raditio mittd is proportioal to () () / As: [] Hr E N 6. N hr N () if 9. a CR circuit as show low oth switchs ar op iitially. Now swith S is closd, S pt op. (q is char o th capacitor ad RC is capacitiv tim costat). Which of th followi statmt is corrct? As: [] or currt to stalsh o ad hc out of iv optios, oly () is corrct 7. t dot th dimsioal formula of th prmittivity of vacuum. f = mass, = lth, T = tim ad A = lctric currt, th () T A () T A 4 () T A T A As: [4] N qq r Q P N o 4 T A qq r A T T, () At t q CV () t q CV, () Wor do y th attry is half of th ry dissipatd i th rsistor At t, q CV / As: [] or RC chari circuit q CV t / At t q CV

7 JEE ai [7]. Th matic fild i a travlli lctromatic wav has a pa valu of T. Th pa valu of lctric fild strth is () 9 V/ m () V/ m () V/ m 6 V/ m As: [4] a E wav, Em C B Em Bm C 6 V / m m

They must have different numbers of electrons orbiting their nuclei. They must have the same number of neutrons in their nuclei.

They must have different numbers of electrons orbiting their nuclei. They must have the same number of neutrons in their nuclei. 37 1 How may utros ar i a uclus of th uclid l? 20 37 54 2 crtai lmt has svral isotops. Which statmt about ths isotops is corrct? Thy must hav diffrt umbrs of lctros orbitig thir ucli. Thy must hav th sam