ALLEN. è ø = MB = = (1) 3 J (2) 3 J (3) 2 3 J (4) 3J (1) (2) Ans. 4 (3) (4) W = MB(cosq 1 cos q 2 ) = MB (cos 0 cos 60 ) = MB.

Size: px

Start display at page:

Download "ALLEN. è ø = MB = = (1) 3 J (2) 3 J (3) 2 3 J (4) 3J (1) (2) Ans. 4 (3) (4) W = MB(cosq 1 cos q 2 ) = MB (cos 0 cos 60 ) = MB."

Tobias Potter
5 years ago
Views:

1 at to Succss LLEN EE INSTITUTE KT (JSTHN) HYSIS 6. magntic ndl suspndd paalll to a magntic fild quis J of wok to tun it toug 60. T toqu ndd to mata t ndl tis position will b : () J () J () J J q 0 M M q 60 W M(cosq cos q ) M (cos 0 cos 60 ) M Þ M J æ ö ç - M t M s 60 ( ) æ ç ö J J è ø 6. T tansition fom t stat n to n a ydogn lik atom sults ultaviolt adiation. Infad adiation will b obtad t tansition fom : () 4 () 4 () ns. Lyman sis poducs U.. adiation alm sis poducs isibl adiation acan sis poducs Infad adiation So coct answ is 4 6. T pow dissipatd t cicuit sown t figu is 0 Watts. T valu of is : 5W 0 () 0 W () 0 W () 0 W 5 W ns. Total s q So q q Total 0 5 Þ 5+ Þ 0W IMT MINS 0 DE 64. Wic on of t followg plots psnts t vaiation of gavitational fild on a paticl wit distanc du to a t spical sll of adius? ( is masud fom t cnt of t spical sll) () () Hollow sp I0 I out µ 65. T put sistanc of a silicon tansisto is 00 W. as cunt is cangd by 40 µ wic sults a cang collcto cunt by m. Tis tansisto is usd as a common mitt amplifi wit a load sistanc of 4 KW. T voltag ga of t amplifi is : () 4000 () 000 () ns. oltag ga 0 0 b D I DI 0 () paalll plat capacito as a unifom lctic fild E t spac btwn t plats. If t distanc btwn t plats is d and aa of ac plat is, t ngy stod t capacito is: ns. () 0E d () 0 Ed () 0E E d/ 0

2 IMT MINS 0 Engy dnsity 0E So ngy stod 0E d 67. If v is scap vlocity and v 0 is obital vlocity of a satllit fo obit clos to t at's sufac, tn ts a latd by : () v v () 0 v v 0 () v0 v v 0 v ns. Escap vlocity v GM bital vlocity (na at's sufac) v 0 GM So v v In a coil of sistanc 0 W, t ducd cunt dvlopd by cangg magntic flux toug it, is sown figu as a function of tim. T magnitud of cang flux toug t coil Wb is: i(amp) at to Succss LLEN EE INSTITUTE KT (JSTHN) 70. To gt an output Y givn cicuit wic of t followg put will b coct: Y () 0 () 0 0 () Y ( + ). fo Y, ( + ) and 7. T quation of a simpl amonic wav is givn by : y s p (50 t x), w x and y a mts and t is sconds. T atio of maximum paticl vlocity to t wav vlocity is :- () p () p () p p y s p (50 t x) 0 0. t(s) () 6 () 4 () 8 q Df Þ Df q (aa und t cuv) wb 69. poton cayg M ktic ngy is movg a cicula pat of adius unifom magntic fild. Wat sould b t ngy of an a-paticl to dscib a cicl of sam adius t sam fild? () 0.5 M () 4 M () M M mv qv Þ mv q o sam and, K µ K' ( ) m M ( 4m) q m mk q Þ K' M aticl vlocity y t æp ö p ç è 50 cos (50t x) ø Maximum paticl vlocity 75 p m/s Wav vlocity v k w 50 quid atio 75 p 50 p 50 m/s 7. T dimnsions of (µ 0 0 ) / a: () [L T ] () [L / T / ] () [L / T / ] [L T] ns. Spd of ligt c m0î Dimnsion [LT ] 0 7. ta movg at a spd of 0 ms towads a stationay objct, mits a sound of fquncy 000Hz. Som of t sound acg t objct gts flctd back to t ta as co. T fquncy of t co as dtctd by t div of t ta is : (spd of sound ai is 0 ms ) () 5000 Hz () 000 Hz () 500 Hz 4000 Hz

3 at to Succss ns. LLEN EE INSTITUTE KT (JSTHN) æv+ v ö æ0 + 0 ö t n' n ç 000 ç èv- vt ø Hz T atio of amplitud of magntic fild to t amplitud of lctic fild fo an lctomagntic wav popagatg vacuum is qual to: () T atio of magntic pmability to t lctic suscptibility of vacuum () Unity () T spd of ligt vacuum cipocal of spd of ligt vacuum 0 s E c so quid atio E0 c 75. ca of mass m stats fom st and acclats so tat t stantanous pow dlivd to t ca as a constant magnitud 0. T stantanous vlocity of tis ca is popotional to: () t / () t/ m () t 0 t / v æ dv ç m ö v constant è dt ø ò ò mv dv dt Þ v µ t Þ v µ t / 76. T momnt of tia of a unifom cicula disc is maximum about an axis ppndicula to t disc and passg toug: ns. () D () () D s pot is fatst so momnt of tia about an axis passg cnt will b maximum 77. T masss a placd on t x-axis : 00 g at oig, 500 g at x 40 cm and 400 g at x 70cm. T distanc of t cnt of mass fom t oig is :- () 50 cm () 0 cm () 40 cm 45 cm ns. mx + mx + mx x cm m + m + m 00( 0) + 500( 40) ( 70) IMT MINS cm 78. ca of mass m is movg on a lvl cicula tack of adius. If m s psnts t static fiction btwn t oad and tys of t ca, t maximum spd of t ca cicula motion is givn by :- ns. () mg /m s () m g s () m mg s g/ms f f ut f < µmg So v < µ s g v max Mv m s g 79. n idal gas gos fom stat to stat via t diffnt pocsss as dicatd t - diagam If Q, Q, Q dicat t at absobd by t gas along t t pocsss and DU, DU, DU dicat t cang tnal ngy along t t pocsss spctivly, tn :- () Q Q Q and DU > DU > DU () Q > Q > Q and DU > DU > DU () Q > Q > Q and DU DU DU Q > Q > Q and DU DU DU ns. o t pats itial and fal positons a sam nc DU DU DU and fo pat () aa is maximum nc Q > Q > Q bcaus Q W + DU 80. ston is doppd fom a igt. It its t gound wit a cta momntum. If t sam ston is doppd fom a igt 00% mo tan t pvious igt, t momntum wn it its t gound will cang by :- () 00 % () 00 % () 68% 4% mv m g Þ µ f - i 00% i - 00

4 IMT MINS 0 é ê êë ù -ú úû 00 at to Succss ctiv faction at stant t, t /T/ LLEN EE INSTITUTE KT (JSTHN) ì ï æ00ö ü ï í ç - ý ïî è00ø ïþ 00 ctiv faction at stant t, t /T/ ( ) ; 4% 8. T stantanous valus of altnatg cunt and voltags a cicuit a givn as i s (00 pt) amp s (00 pt + p/) volt T avag pow Watts consumd t cicuit is :- () () 8 ns. avg ms I ms cos f () 4 cos60 8 watt 8. If t momntum of an lcton is cangd by, tn t d ogli wavlngt associatd wit it cangs by 0.5%. T itial momntum of lcton will b :- () ns. 00 p µ l Þ Þ 4 () 00 () Dp p itial Dl - l 0.5 Þ itial T alf lif of a adioactiv nuclus is 50 days. T tim tval (t t ) btwn t tim t wn t /T t -t / T/ Þ t /T Þ / Þ t t T / 50 days 84. od of lngt 0 cm lis along t pcipal axis of a concav mio of focal lngt 0 cm suc a way tat its nd clos to t pol is 0 cm away fom t mio. T lngt of t imag is :- ().5 cm () 5 cm () 0 cm 5 cm ns. ////////////////////////// f 0 cm fom mio fomula - imag distanc of v u f - Þ v v (-0) -0 5 cm lso imag distanc of, v c 0 cm T lngt of imag v c - v ( 0) 5 cm 85. Two adiations of potons ngis and.5, succssivly illumat a potosnsitiv mtallic sufac of wok function 0.5. T atio of t maximum spds of t mittd lctons is:- () : () : 5 () : 4 : mvmax mvmax E f ( 0.5) of it as dcayd and t tim t wn dcayd is :- () 60 days () 5 days () 0 days 50 days of it ad mv max (.5 0.5) vmax vmax Þ Þ v 4 v max max 4

5 at to Succss LLEN EE INSTITUTE KT (JSTHN) 86. Two mtallic sps of adii cm and cm a givn cags of 0 and 5 0, spctivly. If ts a connctd by a conductg wi, t fal cag on t bigg sp is :- () 4 0 () 0 () 0 0 Total cag s q : q : : So q cll avg an mf and tnal sistanc is connctd acoss a vaiabl xtnal sistanc. s t sistanc is casd, t plot of potntial diffnc acoss is givn by :- IMT MINS 0 N N tis situation valu of vais btwn zo and 90 so m m cos 90 and m max cos0 89. cicula platfom is mountd on a fictionlss vtical axl. Its adius m and its momnt of tia about t axl is 00 kg m. It is itially at st. 50 kg man stands on t dg of t platfom and bgs to walk along t dg at t spd of ms lativ to t gound.tim takn by t man to complt on volution is :- () () ns. p p () p s () s () p s s 0 0 v m/s (w..t. gound) w 0 () ns. 0 E E s E I + + fo 0 : 0 and fo ; E o t angl of mimum dviation of a pism to b qual to its factg angl, t pism must b mad of a matial wos factiv dx :- () is lss tan () is gat tan () lis btwn and lis btwn and m æ+d m ö æ+ ö sç s ç s / s/ MI of platfom 00 kgm, MI of man m 00 kgm o systm (platfom + man) by usg M 50 I w 0 mv Þ w 0 00 ad/s ngula vlocity of man w..t. platfom v + w 0 + ad/s Tim takn by t man to complt on volution p ad ad/s p s 90. slab of ston of aa 0.6 m and ticknss 0. m is xposd on t low sufac to stam at 00. block of ic at 0 sts on t upp sufac of t slab. In on ou 4.8 kg of ic is mltd. T tmal conductivity of slab is : (Givn latnt at of fusion of ic J kg ) :- ().05 J/m/s/ ().0 J/m/s/ ().4 J/m/s/.9 J/m/s/ ns. D Q D K T ml Dt Dx Dt ml Dx Þ K D t D T K J/m/s

GRAVITATION. (d) If a spring balance having frequency f is taken on moon (having g = g / 6) it will have a frequency of (a) 6f (b) f / 6

GRAVITATION. (d) If a spring balance having frequency f is taken on moon (having g = g / 6) it will have a frequency of (a) 6f (b) f / 6 GVITTION 1. Two satllits and o ound a plant P in cicula obits havin adii 4 and spctivly. If th spd of th satllit is V, th spd of th satllit will b 1 V 6 V 4V V. Th scap vlocity on th sufac of th ath is