JEE MAIN 2016 ONLINE EXAMINATION DATE : SUBJECT : PHYSICS TEST PAPER WITH SOLUTIONS & ANSWER KEY

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1 JEE MAIN 6 ONLINE EXAMINATION DATE : -4-6 SUBJECT : PHYSICS TEST PAPER WITH SOLUTIONS & ANSWER KEY CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL

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3 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT A bole has an opening of radius a and lengh b. A cork of lengh b and radius (a + a) where (a<<a) is compressed o fi ino he opening compleely (See figure). If he bulk modulus of cork is B and fricional coefficien beween he bole and cork is hen he force needed o push he cork ino he bole is : a b Ans. (4) () (B b) a () (B b) a (3) (B b) a (4) (4B b) a V P V V i (a + a) b V f a b V ~ aba V V aba a b a a P a a Normal force a a b fricion N 4ba 4 b a CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE #

4 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT Consider an elecromagneic wave propagaing in vacuum. Choose he correc saemen : () For an elecromagneic wave propagaing in +y direcion he elecric field is E E ˆ yz(x,)z and he magneic field is B B ˆ z(x,)y () For an elecromagneic wave propagaing in +y direcion he elecric field is E E ˆ yz(x,)y and he magneic field is B B ˆ yz(x,)z (3) For an elecromagneic wave propagaing in +x direcion he elecric field is E E yz(y,z,) yˆ zˆ and he magneic field is B B yz(y,z,) yˆ zˆ (4) For an elecromagneic wave propagaing in +x direcion he elecric field is E E yz(x,) yˆ zˆ and eh magneic field is B B yz(x,) yˆ zˆ Ans. (4) If wave is propagaing in x direcion, E & B mus be funcions of (x, ) & mus be in y-z plane. 3. A galvanomeer has a 5 division scale. Baery has no inernal resisance. I is found ha here is deflecion of 4 divisions when R 4.Deflecion becomes divisions when resisance aken form resisance box is 49. Then we can conclude : R G V ( ) Ans. () Resisance required on R.B. For a deflecion of divisions is 98. () Full scale deflecion curren is ma. (3) Curren sensiiviy of galvanomeer is A/ division. (4) Resisance of galvanomeer is. Bonus CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 3

5 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT A carno freezer akes hea from waer a C inside i and rejecs i o he room a a emperaure of Ans. (4) 7 C. The laen hea of ice is J kg. The laen hea of ice is J kg. If 5 kg of waer a C is convered ino ice a C by he freezer, hen he energy consumed by he freezer is close o : ().68 6 J ().7 7 J (3).5 5 J (4).67 5 J Waer a ºC W Q Q Room a 7ºC hea required o freeze 5 kg waer Joule Q 68 KJ for carno's cycle Q T Q T Q Q KJ W Q Q J J.66 5 KJ CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 4

6 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT A realisic graph depicing he variaion of he reciprocal of inpu resisance in an inpu characerisics measuremen in a common emier ransisor configuraion is : i r r i. ().6 ().6 V BE (V) V BE (V) i r. r i. (3).6 (4).6 V BE (V) V BE (V) Ans. () For common emier configuraion, he inpu characersics graph is as shown B V BE r i Vi i r i di dv i slope CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 5

7 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT A paricle of mass m is aced upon by a force F given by he empirical law F v().if his law is o be esed experimenally by observing he moion saring from res, he bes way is o plo : () log v() agains () v() agains (3) logv () agains (4) log v() agains Ans. (4) m dv d R V d R m dv v V dv m R V V V m n V V n V R m d R R logv vs will be a s. line curve 7. A figher plane of lengh m, wing span (disance from ip of one wing o he ip of he oher wing) of 5 m and heigh 5m is flying owards eas over Delhi. Is speed is 4 ms The earh's magneic field over Delhi is 5 5 T wih he declinaion angle ~ and dip of such ha sin.if he volage 3 developed is V B beween he lower and upper side of he plane and V W. beween he ips he wings hen V B and V W are closed o : () V B 4 mv, V W 35mV wih lef side of pilo a higher volage. () V B 4 mv, V W 35mV wih righ side of pilo a high volage. (3) V B 45 mv, V W mv wih lef side of pilo a higher volage. (4) V B 45 mv, V W mv wih righ side of pilo a higher volage. Ans. (3) B H B V V B B 4 (5) (4) B H Bcos B H B CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 6

8 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT -4-6 B V 3 5 T V B V B 44.6 mv 45 mv V W B V V 4 V mv (lef side a figher volage) N + C W E S 8. To ge an oupu of from he circui shown in figure he inpu mus be : Ans. (4) a b c () a, b, c () a, b, c (3) a, b, c (4) a, b, c Checking opions one by one a O b c O We mus noe ha c and oupu of OR gae mus also be herefore Y Y O CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 7

9 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT To ge an oupu of from he circui shown in figure he inpu mus be : () Four () Two (3) Three (4) Give Ans. (3). An asronau of mass m is working on a saellie orbiing he earh a a disance h. from he earh's surface. The radius of he earh is R, while is mass is M. The graviaional pull FG on he asronau is: () F G GM m (R h) () zero since asronau feels weighless (3) Ans. () F G GM GM m m F G (R h) R GMm (4) < F G < R GMm (R h). In he figure shown/ ABC is a uniform wire. If cenre of mass wire lies verically below poin A, hen BC AB Ans. (4) B 6 ().85 ().5 (3) 3 (4).37 A C A B 6º C X If CM lies verically below A as per choose coordinae axis in x-coordinae is equal o X cm m x m m x m ( ) ( ) 4 ( ) CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 8

10 4 4 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT ( ) ~ A neuron moving wih a speed 'v' makes a head on collision wih a saionary hydrogen aom in ground Ans. (3) sae. The minimum kineic energy of he neuron for which inelasic collision will ake place is : (). ev (). ev (3) (4) 5.8eV Assuming perfecly inelasic collision for maximum loss in K.E. V V f i K.E f (m) V i 4 K.E KE f i KE loss i KE i >. ev K.E i >.4 ev 3. Concree mixure is made by mixing cemen, sone and sand in a roaing cylindrical drum. If he drum Ans. roaes oo fas, he ingrediens remain suck o he wall of he drum and proper mixing of ingrediens does no ake place. The maximum roaional speed of he drum in revoluions per minue (rpm) o ensure proper mixing is close o : (Take he radius of he drum o be.5m and is axle o be horizonal): ().3 ().4 (3) 7. (4) 8. Bonus 5gr v r < 5g r CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 9

11 6 4 rad/s rpm PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT A phooelecric surface is illuminaed successively by monochromaic ligh of wavelenghs and 3. If Ans. (4) he maximum kineic energy of he emied phooelecrons in he second case is 3 ime ha in he firs case, he work funcion of he surface is : () 3hc () hc KE hc W..(i) (3) hc 3 (4) hc 3 K.E hc W K.E hc 3 W 3 hc W hc W 3 3 (Equaing (i) & (ii)) hc 3 W 3 W hc..(ii) 5. A,B,C and D are four differen physical quaniies having differen dimensions. None of hem is Ans. (4) dimensionless. Bu we know ha he equaion AD C ln (BD) holds ure.then which of he combinaion is no a meaningful quaniy? () A B C () A C B (3) C AD BD C AD Cn (BD) (B) (D) dimensionless [AD] [C] Checking opions one by one A C dimensions of A are no same as dimensions of C. D meaningless (4) A C D CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE #

12 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT A hin m long rod has a radius of 5 mm. A force of 5 kn is applied a one end o deermine is Young's modulus. Assume ha he force is exacly known. If he leas coun in he measuremen of all lenghs is. mm, which of he following saemens is false? () The maximum value of Y ha can be deermined is 4 N/m () Y Y ges minimum conribuion from he uncerainy in he lengh. (3) The figure of meri is he larges for he lengh of he rod. (4) Ans. () Y Y m r 5 3 m F 5 3 N F / A F A ges is maximum conribuion from he uncerainy in srain (5 ) max Figure shows a nework of capaciors where he number indicaes capaciances in micro Farad. The value of capaciance C if he equivalen capaciance beween poin A and B is o be F is : A C Ans. (3) () 33 F 3 () 3 F 3 (3) 3 F 3 (4) 34 F 3 B CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE #

13 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT F 8 4F + 4F 8F 8 8 F F C 3 C C C C C C 3 3 F 8. Which of he following shown he correc relaionship beween he pressure 'P' and densiy of an ideal gas a consan emperaure? P P () () O O P P (3) (4) O O Ans. () PM RT RT P M P CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE #

14 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT A hemispherical glass body of radius cm and refracive index.5 is silvered on is curved surface. A small air bubble is 6cm below he fla surface inside i along he axis. The posiion of he image of he air bubble made by he mirror is seen.: cm 6cm Ans. () O Slivered () cm below fla surface () 3 cm below fla surface (3) 6 cm below fla surface (4) 4 cm below fla surface cm 6cm 4cm V V 4 5 V cm cm acs as objec for plane surface d d' 3 n.5 rel d' 3 cm 5 cm below plane surface CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 3

15 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT In an engine he pison undergoes verical simple harmonic moion wih ampliude 7cm. A washer ress on op of he pison and moves wih i. The moor speed is slowly increased. The frequency of he pison a which he washer longer says in conac wih he pison, is closed o : ().7 Hz (). Hz (3).9 Hz (4). Hz Ans. (3) A g T (.7) m/s 4 f (.7) m/s 5 f Hz.9 Hz 7. Two sars are ligh years away from he earh. They are seen hrough a elescope of objecive diameer 3cm. The wavelengh of ligh 6 nm. To see he sars jus resolved by he elescope, he minimum disance beween hem should be ( ligh year m) of he order of : () 8 km () 6 km (3) km (4) km Ans. (). D 9 x ligh year. 6 3 x ligh year x m km. A conducing meal circular -wire loop of radius r is placed perpendicular o a magneic field which varies wih ime as B B e /, where B and are consans, a ime. If he resisance of he loop is R hen he hea generaed in he loop afer a long ime ( ) is : r B () R r B () r B (3) r B (4) R R R Ans. (4) hea equaed ind R R Rd R ind 4 r B 4 r B R d e i Rd / / e / d CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 4

16 4 r B R 4 r B R PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT -4-6 { + } 3. A paricle of mass M is moving in a circle of fixed radius R in such a way ha is cenripeal acceleraion a ime is given by n R where n is a consan. The power delivered o he paricle by he force acing on i, is: () M n R () Mn R (3) M n R (4) M n R Ans. (3) V R n R V n R V nr dv nr d P F V mdv V d mnr. nr P n R m 4. The raio (R) of oupu resisance r, and he inpu resisance r in measuremens of inpu and oupu characerisics of a ransisor is ypically in he range : () R~.. () R~.. (3) R~ 3 (4) R~ Ans. (4) r R ri ypical value is approximaely 5. A modulaed signal C m () has he form C m () 3 sin 3 + (cos cos4).the carrier frequency f c, he modulaing frequency (message frequency) f, and he modulaion index are respecively given by : () f c Hz ; f 3Hz ; () f c 5 Hz ; f 5Hz ; 3 (3) f c Hz ; f 5Hz ; (4) f c 5 Hz ; f 3Hz ; 3 Ans. () m () 3 sin (3 ) + cos (4 ) f 3 5 CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 5

17 4 f c 5 Hz f m 5 Hz 3 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT The resisance of an elecrical oaser has a emperaure dependence given by R (T) R [+(T T ] in is range of operaion. A T 3 K, R. And a T 5 K, R. The oaser is conneced o a volage source a V and is emperaure is raised a a consan rae form 3 o 5 K in 3s. The oal work done in raising he emperaure is : () 4 ln.5.3 J () 3 J (3) ) ln 3 J (4) 4 ln 5 6 Ans. Bonus () R ( (T T ) T emperaure a '' T emperaure a 3 K 5 3 T T () 3 T T 3 T T 3 3 () d ( ) n 3 ( + ()) + () d 3 ( ) 5 6, n 6 5 CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 6

18 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT Consider a hin meallic shee perpendicular o he plane of he paper moving wih speed 'v' in a uniform magneic field B going ino he plane of he paper (see figure). If charge densiies and are induced on he lef and righ surfaces, respecively, of he shee hen (ignore fringe effecs) v B () (3) Ans. (4) vb vb, () vb vb vb, (4) vb, vb V W direcion of V B is owards lef herefore induced change deniion will be elecric field + W (B) (V) () BV CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 7

19 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT Velociy-ime graph for a body of mass kg is shown in figure. Work-done on he body in firs wo seconds of he moion is : V(m/s) 5m/s (,) s (s) () J () J (3) 45 J (4) 93 J Ans. (3) V 5 m/s V 8 V 5 V 4 m/s sec. W (6 5) ( 9) 45 J 9. A oy-car,blowing is horn, is moving wih a seady speed of 5 m/s, away from a wall. An observer, owards whom he oy car is moving, is able o hear 5 bea per second. If he velociy of sound in air is 34 m/s, he frequency of horn of he oy car is close o : () 34Hz () 7 Hz (3) 5 Hz (4) 68 Hz Ans. () CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 8

20 PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT m/s Wall 5 bea sec 34 F dir 34 5 f 34 f ind 34 5 f f ind f dir f 5 34 (3 5)(34 5) 5 f 34 5 f 7 Hz 3. Wihin a spherical charge disribuion of charge densiy (r), N equipoenial surfaces of poenial V,V + V, + V,..V + NV (V > ), are draw and have increasing radii r,r,r,..r N, respecively. If he difference in he radii of he surface is consan for all values of V and V hen : () (r)r () (r) (3) (r) (4) (r) consan r r Ans. (3) r r V + V V V V + V V r consan uniform E. field. CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE # 9

21 (E) (4r ) (E) (4r ) PAPER- (B.E./B. TECH.) OF ONLINE JEE (MAIN) CBT -4-6 dv r 4r dr (E) (4r ) 4 r afer inegral on RHS We mus obain r r dr r CORPORATE OFFICE : CG TOWER, A-46 & 5, IPIA, NEAR CITY MALL, JHALAWAR ROAD, KOTA (RAJ.) REG. OFFICE : J-, JAWAHAR NAGAR, MAIN ROAD, KOTA (RAJ.)-345 PH. NO.: FAX NO. : PH.NO. : , TO KNOW MORE : SMS RESO AT WEBSITE : CONTACT@RESONANCE.AC.IN CIN : U83RJ7PLC49 THIS SOLUTION WAS DOWNLOAD FROM RESONANCE JEE Main 6 SOLUTION PORTAL PAGE #

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