coaching class sample paper for jee preparation, Exercises of Physics

Download coaching class sample paper for jee preparation and more Exercises Physics in PDF only on Docsity! Government Coaching for JEE – Mains 2018-2019 Unit Test-1 Subject: Physics, Chemistry & Maths Time:60min Mark:180 Instructions: 1) The Test booklet consists of 45 questions 2) Each question carries 4 marks for correct response 3) For each incorrect response one mark will be detected 4) The maximum marks are 180 5) The test is for 60 minutes duration Choose the best answer 45x4=180 PART A- Physics Q.No. 1 to 15 1. What is the unit of k in the relation U= where U represents potential energy, y represents the displacement and ‘a’ represents the amplitude a) ms-1 b) ms c) Jm d) Js-1 2. An important milestone in the evolution of the universe just after the Big Bang is the planck time tp, the value of which depends on three fundamental constants, ‘c’ speed of light, gravitational constant G and plancks constant h. then tp∝ a) Ghc5 b) C) d)( ) 3. The dimension of b4 ( Stefan’s Constant , b-Wien’s constant a) M0L0T0 b) ML4T-3 c) ML-2T d) ML6T-2 4. If G represents gravitational force, W represents Weak interaction force, E represents electromagnetic force, N represents nuclear force, the correct order of strength would be a) W< G<N<E b) G<W<E<N c) G< N<W<E d) E< G<W<N 5. W = (F+ 2ma)Vn. Where W is the workdone, F is the force, m-Mass, a-acceleration and v-velocity can be made dimensionally correct for a) n=0 b) n=1 c) n=-1 d) No value of n 6. The LC of a stop watch is 0.2s. The time of 20 oscillations of a pendulum is measured to be 25s. The percentage error m measurement of time will be a) 8% b) 1.8% c) 0.8% d) 0.1% e) 7. If energy (E), Velocity(V) and time (T ) are chosen as fundamental quantities the dimension of Surface tension (S) will be represented a) EV-2T-1 b) EV-1T-2 c) EV-2T-2 d) E2V-1T-3 8. Two Capacitances C1 and C2 are combined in series. If C1 = (10.0 ± 0.1) F and C2= (5.0 ± 0.2) F. Calculate the combined Capacitance a) (3.3±0.07)F b) (3.3±7)F c) (33±0.07)F d) (3.3±0.7)F 9. The measured mass and volume of a body are 23.42 g and 4.9 cm3 respectively with possible error 0.01g and 0.1cm3. The maximum error in density is nearly a) 0.2% b) 2% c) 5% d) 10% 10. The mass of the block is 87.2g and its volume is 25 cm3. Its density upto correct significant figures is a) 3.488 g cm-3 b) 3.5 g cm-3 c) 3.48 g cm-3 d) 3.4 g cm-3 11. In a slide calipers (m+1) number of vernier divisions is equal to m number of smallest main scale divisions. If d unit is the magnitude of the smallest main scale division, then the magnitude of the vernier constant is a) unit b) unit c) unit d) () unit 12. The velocity of a body moving in viscous medium is given by V= (1-eQt) where t is time, P and Q are constants then the dimensions of P is a) M°L T-2 b) M°L2 T-2 c) M -1 L T-2 d) M°L° T-2 13. Dimensions of ∈ , where symbols have their usual meaning, are a) [L-1 T] b) ) [L2 T2] c) ) [L2 T-2] d) ) [LT-1] 14. The physical quantities are not having same dimensions are a) torque and work b) momentum and plank’s constant c) Stress and young’s modulus d) Speed and (µ0є0)-1/2 15. Which of the following relation ship for force and energy is correct a) 1 dyne = 105 N , l erg = 10-7 J b) 1 dyne = 10-5 N , l erg = 10-7 J c) 1 dyne = 10-5 N , l erg = 107 J d) 1 dyne = 10-7 N , l erg = 10-5 J PART B - Chemistry Q.No. 16 to 30 16. Which of the following substances exist in the liquid state at room temperature? a) Air b) Iron c) Oil d) Sand 17. What will be the minimum pressure required to compress 500 dm3 of air at 1 bar to 200 dm3 at 30° c ? a)not reflexive, symmetric and transitive B)reflexive symmetric and not transitive c)reflexive, symmetric and transitive d)reflexive, not symmetric and transitive 38. Let R be the real line. Consider the following subsets of the plane RXR. S= {(x,y)/y=x+1 and 0<x<2 } T= {(x,y)/x-y is an integer Which one of the following is true. a) Neither S nor T is an equivalence relation on R. b) Both S & T are equivalence relations on R. c)S is an equivalence, relation on R but T is not d) T is an equivalence relation on R but S is not 39. A, B & C are 3sets such that A∩ B=A∩C and A∪B= A∪C then a) A=B b) A=C c) B=C d) A∩ B= 40. Let S be a non-empty subset of R.Consider the following statements. P: There is a rational number x€S such that x>0 Which of the following statement is the negation of the statement P. a)There is no rational number x€S such that x ≤0 b)Every rational number x€S satisfies x ≥ 0 c)x€S and x ≤ 0 x is not rational d)There is a rational number x€S such that x ≤ 0 41. Consider the following relations R = {(x,y)/x and y are real numbers and x=wy for some rational number w} S = {(m/n,p/q)/m,n,p and q are integers such that n,q≠ 0and qm =pn } then a)Neither R nor S is an equivalence relation. b)S is an equivalence relation but R is not an equivalence relation c)R and S are both equivalence relations d)R is an equivalence relation but S is not 42. Let X be a set consisting of first 2018 terms of the A.P. 1,6,11, ………..and Y be the set consisting of first 2018 terms of the A.P.9, 16,23…………………….. Then the number of elements in the set X∪Y. is a) 288 b) 3748 c) 10086 d) 14128 43. Domain of the function f(x)=sin(2) + /6 for real valued x is a) [- , ] b) [- , ] c) (- , ) d) (- , ) 44. A function f:NZ is defined by f(n)= , 2 , a) one-one onto but not b) onto but not one –one c) one-one and onto d) neither one –one nor onto 45. If fk(x)= 1/k (sin kx+ coskx) where x€R and k≥ 1 then f4(x)-f6 (x) is equal to a) b) c) d) Government JEE Coaching Unit Test-1 2018-2019 Subject: Physics, Chemistry & Maths Answer Key 1.c 2. d 3.b 4.b 5.d 6.c 7.c 8.a 9.b 10.b 11.a 12.a 13.c 14.b 15.b 16. a 17.b 18. d 19.b 20. c 21.c 22.b 23.c 24.a 25.c 26.a 27.b 28.a 29.b 30.b 31.c 32.a 33.b 34.c 35. c 36. c 37. b 38. b 39. c 40.b 41. b 42. b 43. a 44. c 45. b