PROGRESS TEST-4 GR, GRK & GRS JEE MAIN PATTERN

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1 PROGRESS TEST- GR, GRK & GRS JEE MIN PTTERN Test Date: -7-7

2 [ ] PT-IV (Main) GR, GRK & GRS_.7.7 PHYSIS. () mg mg m m. () If acceleation of block is a upwad along the incline, then acceleation of block B is a downwad. Fo block B, g T 8a (i) Fo block, T gsin3 a g T a (ii) Fom (i) and (ii) 7g 9a a = 7 8 m/s = 35 9 m/s gsin3 3 a T B a g 3. () This is the situation simila to elastic collision of ball impinging on floo and bouncing back.. (B) v avg 5. () t t v v 3v t dx v v dt R v v x sin = R x x = R cosec dx dt = R cosec cot d dt d dt (v v )sin Rcos ( ve sign shows that deceasing with time) Mentos Edusev: Paus Lok omplex, Boing Road ossing, Patna- Helpline No. : //6/7

3 PT-IV (Main) GR, GRK & GRS_.7.7 [ 3 ] 6. (B) a k t c o v k t o v = kt dv Theefoe, tangential acceleation, a k dt o tangential foce, Ft mat mk Only tangential foce does wok, Powe = F t v ( mk)( kt) o Powe = mk t 7. (B) Let x be the extension in the sping when kg block leaves the contact with gound. Then, kx = g g o x = m k Now, fom consevation of mechanical enegy mgx kx mv (m = 5 kg) o 8. () v kx gx m Substituting the values () v m/s 5 If block M moves a distance of x the extension in sping inceases by x. By wok enegy theoem, k[ x ( x x) ] Mgx O k(x xx ) Mgx O k(x x ) Mg x x Mg x k Mg k x Mentos Edusev: Paus Lok omplex, Boing Road ossing, Patna- Helpline No. : //6/7

4 [ ] PT-IV (Main) GR, GRK & GRS_ (B). (D) T mg sin = T = mg sin + = = + = 5 N mv mv 36.5 eff 3 3 eff 3 O T v mgsin. () P 3 P P 3 5 Q Q d eq eq. () d By Guass theoem, EdS dq E 9 de fo max. electic field, d Mentos Edusev: Paus Lok omplex, Boing Road ossing, Patna- Helpline No. : //6/7

5 PT-IV (Main) GR, GRK & GRS_.7.7 [ 5 ] () entipetal foce on electon at distance fom cente of disc. m ee E m e R R m Q dv d e O O. (B) m R. Wok done on innemost shell W U U U3 KQ Wok done on middle shell W U U U3 KQ 3 5. () 6. (D) W. W Electostatic field is always consevative. final = +, V common E final E initial V V V U U V U, E loss = E initial -E final = Mentos Edusev: Paus Lok omplex, Boing Road ossing, Patna- Helpline No. : //6/7

6 [ 6 ] PT-IV (Main) GR, GRK & GRS_ (D) P V 8. () v v 3v 3 7 v V 6 R 3 F 3V F O F Q V B B R B = 9. () Net esistance = 3 Then by Kichoff law 6 = 3 i, i = amp. () V = ir V B i. 5R ir 3 i R i/3 i/3.5r B 3R V i 3 3 R ir. () Fom symmety. B and D ae points having same potential so, edawing the netwok as B, D O R O 5 Mentos Edusev: Paus Lok omplex, Boing Road ossing, Patna- Helpline No. : //6/7

7 PT-IV (Main) GR, GRK & GRS_.7.7 [ 7 ]. (D) Let the potential of the junction be V V. Then 6 V V 8 V V V 8 V V 6V i 8 i i 3 8 V F V V 6 volt Potential dop acoss capacito 6 6V hage on capacito = 6 3. (D) 5 5 R R =. (D) The cicuit can be epesented as O So we can aange the cicuit in following way Re q 3 B O D = Req = 5 5. (B) 9 x 5 x = cm 6. (D) 7. () 8. (B) 9. (D) 3. () Mentos Edusev: Paus Lok omplex, Boing Road ossing, Patna- Helpline No. : //6/7

8 [ 8 ] PT-IV (Main) GR, GRK & GRS_ (B) 3. (B) spectal lines in backet seies. HEMISTRY Fo Zn + Fe + Zn + + Fe spontaneous. 33. () gas does not liquifies above T. 3. (B) l + e l (P ) l l + e E o cell..76 ve and hence, the eaction is (P ) (P ) l l (P ) (P ) E = 35. (B) 36. (B).59 P log P Fo the cell to be spontaneous G = nfe = ve and E = +ve i.e. P > P. Ni eacts with O, So [O] deceases so, second eaction moves backwad i.e [l ] inceases so, fist eaction also moves backwad so, [Pl 3 ] deceases and [Pl 5 ] inceases. Kt.33log t K log.5 Mentos Edusev: Paus Lok omplex, Boing Road ossing, Patna- Helpline No. : //6/7

9 PT-IV (Main) GR, GRK & GRS_.7.7 [ 9 ] o K. min ate = K [R] =.. = 3 Mmin. 37. (B) Fo F g.eq metal is deposited i.e, mole g, mole u and 3 mole l 38. () So, mole atio : : 6 : 3 : 3 H (aq.) e H (g).59 PH E log (i) [H ].59 PH E log (ii) [H ] 39. ().59 deceases E E log.59 H (. atm) H ( M) e H ( M) e H (.atm) H (. atm) H ( M) H ( M) H (. atm). (B).59 ( ). cell E log ( )..59 log 5 3 i t =? mass of H. i t w E F Mentos Edusev: Paus Lok omplex, Boing Road ossing, Patna- Helpline No. : //6/7

10 [ ] PT-IV (Main) GR, GRK & GRS_.7.7 t o t. (D) 9.3 s H O HO + H.. O.... H O O.. It is hemiacetal O H OH. (B) 3. (B) Ring contaction take place. In this eaction cabocations ae fomed as intemediate and eaangement also takes place.. () 5. (D) 6. (D) 7. () 8. (B) 9. (B) H B B 5. (D) H + l O N H==H H 3 O N H H H 3 + H O N H H H 3 l H H = H H H H = H 3 H + + H = H H H H H H 3 OH H 3 + H 3 H 3 H 3 H O -H + H 3 H 3 Mentos Edusev: Paus Lok omplex, Boing Road ossing, Patna- Helpline No. : //6/7

11 PT-IV (Main) GR, GRK & GRS_.7.7 [ ] l 3 H=H l l + l 3 HH.. OH l l 3 HH HO + H H + l l 3 HH OH 5. () 5. (B) 53. (B) 5. () 55. (B) gentite is a sulphide oe. 56. (D) The anode mud in the electolytic efining of silve contains u. 57. (B) Ni(H ) onc.hl Ni(NH ) l 3 3 is[ni(nh 3) l I II [Ni(NH ) l ] 3 (-solution) +HO HO [Ni(NH ) O do not eact 3 I = is [Ni (NH 3 ) l ] II = Tans [Ni (NH 3 ) l ] 58. () 59. (D) 6. () 6. () MTHEMTIS 6. (D) tan tan tan 3 tan tan sin x sin x Range [cos, ] 3 6 Mentos Edusev: Paus Lok omplex, Boing Road ossing, Patna- Helpline No. : //6/7

12 [ ] PT-IV (Main) GR, GRK & GRS_ () 6. () 65. (D) tan cot tan tan3 cot cot 3 log x x x x x = 66. (B) 67. () 68. () t x = y ' at x = 5 3 bx 5a a b 69. () 5 f( ) = f() 7 () 7. () 7. (B) 73. (D) 7. (B) 75. (B) 76. (D) 77. () 78. (B) 79. (D) 3 t ; t 3t t dy 3t 3 9 dx t 8. (D) 8. () 8. () 83. () 8. (D) 85. () 86. (D) 87. () Let a, and b be two numbe then a,,, b whee, ae M s + = a + b...() Mentos Edusev: Paus Lok omplex, Boing Road ossing, Patna- Helpline No. : //6/7

13 PT-IV (Main) GR, GRK & GRS_.7.7 [ 3 ] a, G, G b whee G, G ae G.M s then G G = ab...() a, H, H, b whee H, H ae Hm s a b H H a b ab H H a b H H ab...(3) 88. () 89. () H H H H G G G G H H H H S = t 8 6 n = upto n tem = n +...upto n tem = n () cos(x y) cos(x y) cos x cos(x y) cos(x y) 3 n 3 = n + 3 n cos x cosx cosy (cos² x sin ² y) cos²x cosy = cos²x sin²y cos²x( cosy) = sin²y cos²x y sin² = sin²y y y y cos ²x sin² sin² cos ² y cos x sec Mentos Edusev: Paus Lok omplex, Boing Road ossing, Patna- Helpline No. : //6/7

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