Mathongo Physics Paper 9 PDF

Question Paper Physics Single Correct (Maximum Marks: 80) Question No.1 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. When p — 7 junction diode is forward biased, then : the depletion region is...

Question Paper Physics Single Correct (Maximum Marks: 80) Question No.1 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. When p — 7 junction diode is forward biased, then : the depletion region is reduced and barrier A height is increased the depletion region is widened and barrier 8. height is reduced both the depletion region and barrier c.height are reduced both the depletion region and barrier D.height are increased Question No. 2 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Energy levels A, B and C of a certain atom correspond to increasing values of energy, i.e. By < Ep < Ec.I1f A1, Ag and A3 are the wavelengths of radiations corresponding to transitions C to B, Bto A and C to A respectively, which of the following relations is correct? AN =AL+ A BA)\;; = Ay Question No. 3 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The energy that should be added to an electron to reduce its de- Broglie wavelength from 1 nm to 0.5 nm is four times the initial A.energy. equal to the initial B. energy. c.twice the initial energy. thrice the initial D. energy. Question No. 4 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Assertion: Gamma rays are more energetic than X-rays. Reason: Gamma rays are of nuclear origin but X- rays are produced due to sudden deceleration of high energy electrons while falling on a metal of high atomic number. both Assertion and Reason are true and the Reason is correct explanation of the A. Assertion. both Assertion and Reason are true but Reason is not correct explanation of the B. Assertion. Assertion is true but c.Reason is false. Assertion is false but D.Reason is true. Question No. 5 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The binding energy per nucleon for deuterons (%H) and helium ( %He) are 1.1 MeV and 7.0 MeV respectively. The energy released when two deuterons fuse to form a helium nucleus (3He) is: A.28 MeV B.2.2 MeV C.23.6 MeV D.18.6 MeV Question No. 6 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The correctness of velocity of an electron moving with velocity 50 ms~ is 0.005%. The accuracy with which its position can be measured will be A.4634 x 103m B.4634 x 10~°m c.4634 x 107 %m 0.4634 x 10~8m Question No. 7 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. A Zener diode is connected to a battery and a load as shown below: The currents I, Iz and I, are respectively 4kQ AL 10v=Vv, A.12.5 mA, 7.5 mA, 5 mA B.15 mA, 7.5 mA, 7.5 mA c.12.5 mA,5 mA, 7.5 mA D.15mA,5 mA, 10 mA Question No. 8 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. In a H-atom spectrum A3_; and Ap_; represents wavelengths emitted due to transition from second and first excited states to the ground state respectively. The value of ,\f—: is: A.27/32 5.32/27 c.20 D. None of these Question No. 9 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Maximum kinetic energy of a photoelectric varies with the frequency (f) of the incident radiation as Question No. 10 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. When a U nucleus originally at rest, decays by emitting an alpha particle having a speed ' u ', the recoil speed of the residual nucleus is Question No. 11 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. When 24.8 keV X-rays strike a material, the photoelectrons emitted from K shell are observed to move in a circle of radius 23 mm in a magnetic field of 2 x 10~2 T. The binding energy of K shell electrons is A.6.2 keV B.5.4 keV c.7.4keV D.8.6 keV Question No. 12 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The truth table for the following logic circuit is : A A B Y 0 1 A 0 1 0 1 0 0 1 1 1 A B Y 0 1 B. 0 1 0 1 0 1 1 1 0 A B Y 0 0 C. 0 1 1 1 0 0 1 1 1 D. None of the above Question No. 13 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30 mW and the speed of light is 3 x10% ms™., The final momentum of the object is £.0.3 x 10717 kg ms™? 8.1.0 x 10~'7 kg ms™ c.3.0 x 10717 kg ms™! 0.9.0 x 107 kg ms™ Question No. 14 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The wavelength of the first spectral line of sodium is 5896 A. The first excitation potential of sodium atom will be ( h=6.63 x1073¢ Js) A4.2V B.3.5V c2.1V D. None of these Question No. 15 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Choose the incorrect statement. The nuclear force becomes weak if the nucleus contains too many protons compared to the A.number of neutrons The nuclear force becomes weak if the nucleus contains too many neutrons compared to the B. number of protons Nuclei with atomic number greater than 82 show a tendency to c. disintegrate The nuclear force becomes very strong if the nucleus contains a large number of D.nucleons Question No. 16 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. In the following circuits, PN-junction diodes D1, D9 and D3 are ideal for the following potential of A and B, the correct increasing order of resistance between A and B will be @) -10V,-5V (i) —5V,-10V (i) —4 V,—-12V Dl R > MWW Dz R am MWW D R R4 > AW % A A () < (i) < (iii) B. (i) < (ii) < (@) c. (i) = (i) < @) D. (i) = (iii) < (ii) Question No. 17 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The electric displacement current through a surface area S is proportional to the Magnetic flux through A.S Rate of change of magnetic flux through B.S c. Electric flux through S Rate of change of D. electric flux through S Question No. 18 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. If the work functions of three photosensitive materials are 1 eV, 2 eV and 3 eV respectively, then the ratio of the respective frequencies of light that produce photoelectrons of the maximum kinetic energy of 1 eV from each of them is Al :2:3 B2 :3:4 cl:1:1 Question No. 19 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The following figure shows a logic gate circuit with two inputs A and B and output C. The voltage waveforms of A, B and C are as shown in second figure below Ae—] ogic gate] Be— drcuit [——=C ® AL, @) The logic circuit gate is A OR gate 8. AND gate c. NAND gate 0. NOR gate Question No. 20 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The rms value of the electric field of the light coming from the Sun is 720 N/C. The average total energy density of the electromagnetic wave is (e =8.85 x 10‘12) A.6.37 x 1079 J/m? 8.81.35 x 10712 J/m® c.3.3x 1073 J/m® 0.4.58 x 107 J/m? Physics Numerical (Maximum Marks: 20) Question No.1 Numerical Type The answer has to be filled into the input box provided below. Wavelengths belonging to Balmer series lying in the range of 450 nm to 750 nm were used to eject photoelectrons from a metal surface whose work function is 2.0eV. The maximum kinetic energy of emitted photoelectron is k eV, find value of 100k and roundoff to nearest integer. (Take he = 1242eVnm.) Question No. 2 Numerical Type The answer has to be filled into the input box provided below. A hydrogen-like atom of atomic number Z is in an excited state of quantum number 2n. It can emit a maximum energy photon of 204eV. If it makes a transition to the quantum state n, a photon of energy 40.8eV is emitted. Calculate the atomic number Z. Ground state energy of hydrogen atom is —13.6eV Question No. 3 Numerical Type The answer has to be filled into the input box provided below. The ratio of the nuclear radius, of an atom with mass number A and §He is (14) /3 What is the value of A? Question No. 4 Numerical Type The answer has to be filled into the input box provided below. For the circuit shown below, the current (in mA) through the Zener diode is 5k A 120V 750V 10k0) Question No. 5 Numerical Type The answer has to be filled into the input box provided below. Consider the following nuclear reaction H2 1+ 1H 3 5 2He If 20 meV of energy is released per fusion reaction. Mass of H? 1 consumed per day is 0.1 gm. What is the power of the reactor in MwW? Chemistry Single Correct (Maximum Marks: 80) Question No. 1 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The effect of lanthanoid contraction in the lanthanoid series of elements by and large means increase in atomic radii and decrease in ionic A. radii, decrease in atomic radii and increase in B.ionic radii. increase in both atomic c.and ionic radii. decrease in both D. atomic and ionic radii. Question No. 2 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. A salt on treatment with dil. HCI gives a pungent smelling gas and a yellow precipitate. The salt gives green flame when tested. The salt solution gives a yellow precipitate with potassium chromate. The salt is A.NiSO4 8.BaSy0s3 c.PbSy03 D. CuSOy4 Question No. 3 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The boiling points of the following hydrides follow the order A.SbH3 > NH3 > AsH3 > PHj3 B.NHs > PH3 > AsH3 > SbH3 c.NH3 > SbH3 > AsH3 > PHj3 D.SbH3 > AsH3 > NHs > PHj Question No. 4 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Which is not true about borax ? It is a useful primary standard for titrating A. against acids One mole of borax can B.be used as a buffer Aqueous solution of borax can not be used c. as buffer It is made up of two triangular BO3 units and two tetrahedral D.BO4 units Question No. 5 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The INCORRECT statement among the following is. Cep is an allotropic A.form of carbon QO3 is an allotropic B. form of oxygen Sg is the only allotropic c.form of sulphur red phosghorus is more stable in air than D. white phosphorus Question No. 6 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. A solution of a metal ion when treated with KI gives a red precipitate which dissolves in excess KI to give a colourless solution. Moreover, the solution of metal ion on treatment with a solution of cobalt (II) thiocyanate gives rise to a deep blue crystalline precipitate. The metal 1on is Question No. 7 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Match the Columns I and II and select the codes accordingly. Column I Column IT A. | Obtained through Solvay process I K,CO3 B. | Green colour due to[Cr(Hy0);] * jon | IL S,03~ + Fe C. | Green colouration III. | SO3™ + Ka( D. | Melts at 850°C IV. | NagCOg3  Only One Option Correct Type estion has multiple options out of which ONLY ONE is correct. : Columns I and II and select the codes accordingly. Jumn I Column II rtained through Solvay process I KyCO3 een colour due to [CI‘(H2 0)6] 3 jon | IL SQO?,_ + FeCl3 solution een colouration II1. SO_?,_ + KoCraO7/H* :lts at 850°C IV. | NayCOj3 B C D TIm I I B C D 71 I II B C D T Im Im I B C D  Iv III I I. A B C D IV I Il I 5 A B CD IV I I I B A B C D I I IV II Question No. 8 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Select the correct statement(s) among following. Al forms Ang_, an A.octahedral complex Be and Al show B. diagonal relationship Be forms tetrahedral complex ¢ [Be (C204),]* D. All of the above Question No. 9 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Separation of lanthanides from their mixture is not easy because of A. Shielding effect B. Penetrating effect Consequences of c.lanthanide contraction D. Inert pair effect Question No. 10 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Which of the following statements is correct? NOj on reaction with NaOH gives a mixture A. of two salts. N3O also known as laughing gas, is angular B.in shape. NOj is a sweet smelling and is angular c.in shape. NO is a colourless gas D. and acidic in nature. Question No. 11 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Arrange the following in the correct order of Lewis acidity. BF3, BCl3, BBr3 A.BF3 > BBr3 > BCl3 8.BF; > BCl; > BBr3 c.BF3 < BCl3 < BBr3 0.BBr; < BF3 < BCly Question No. 12 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. On performing a borax-bead test with a given inorganic mixture for qualitative analysis, the colour of the bead was found to be emerald green both in oxidising and reducing flame. It indicates the possibility of the presence of A Co?* B. N2t c.or’t b.Cu?* Question No. 13 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. CrO‘%’ (yellow) changes to CrgO%’ (orange) in pH = x and vice- versa in pH =y. Hence, x and y are A.6,8 B.6,5 c.8,6 D.7,7 Question No. 14 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Nitrogen exist as N9 but phosphorus exist as Py this is due to triple bond exist between phosphorus A.atom Pr — P, bond is weak B.in Py Pr — Py bond is strong c.in Py multiple bonds form D. easily Question No. 15 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Assertion: La (Z = 57) belongs to the d-block and is an element of group 3 of the periodic table. Reason: All Lanthanoids belong to the group 3 of the periodic table. Both the assertion and reason statements are true and the reason is the correct explanation A. of the assertion Both assertion and reason statements are true but the reason is not the correct explanation of the B. assertion. The assertion staterment is true but the reason statement is c. false Both the assertion and reason statements are D. false Question No. 16 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Which of the following halogen acids is least basic? Question No. 17 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Pick out the correct statement set for transition metals 1. They form interstitial compounds 2. 5d-elements have higher energies than 3 d or 4 d -elements 3. Zr and Hf have almost identical atomic and ionic radii 4. They have low melting and boiling points (or low enthalpies of atomization) A.1,2 only B.2,3 only c.1,2,3 only p.1,2,3,4 Question No. 18 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Metal chloride A is soluble in hot water but insoluble in cold water. Select correct statement about A. Thus A can give yellow ppt. A with Igz CrOy A can give white ppt B. with K2SO4 A can give yellow pt c.with KgI Y & All of the above are D. correct statements. Question No. 19 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Compounds A and B are treated with dil. HC separately. The gas liberated are Y and Z respectively. Y turns acidified Ko CroO7 paper green while Z turns lead acetate paper black. The compounds A and B are respectively. A.NaCl and NayCOj3 B.NapSOj3 and Nay S c.Nay S and NapSO3 D.NagSOj3 and NaySOy Question No. 20 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The correct decreasing order of electropositive character among the following elements is : Fe, Sc,Rb, Br, Te,F, Ca AFe>Sc>Rb>Br>Te>F>Ca B.Ca>Rb > Sc>Fe>Te>F>Br cRb>Ca>8Sc>Fe>Br>Te>F D.Rb>Ca>Sc>Fe>Te>Br>F Chemistry Numerical (Maximum Marks: 20) Question No. 1 Numerical Type The answer has to be filled into the input box provided below. Amongst the following, the maximum number of compounds which do not behave as Lewis acids are: SnCls, H3BOs3, AlCl3, CFy,SiF4, CCly, BF3 , SnCly Question No. 2 Numerical Type The answer has to be filled into the input box provided below. The oxidation number of Mn in the product of alkaline oxidative fusion of MnOy is Question No. 3 Numerical Type The answer has to be filled into the input box provided below. How many of the following trends is(are) CORRECT with respect to properties of hydrides of group 16 elements? 2. Bond angle: HoO > HyS > HoSe > HoTe 4. Volatility: HyO < HoS > HySe > HyTe 414. Thermal stability: HoO > HpS > HoSe > HoTe tv. Acidic strength: HoO > HyS > HySe > HyTe Question No. 4 Numerical Type The answer has to be filled into the input box provided below. How many among the following imparts colour to the Bunsen flame, when flame test is carried out? Ba, Mg, Ca, Be, Na, Sr, K Question No. 5 Numerical Type The answer has to be filled into the input box provided below. In the compound Nagy [B4O5 (OH)4] - 8H,0, if the: (1) number of B — O — B bonds is x. (i1) number of B — B bonds is y. (iii) number of sp? hybridized B atoms is z. Calculate the value ofx+y+z Mathematics Single Correct (Maximum Marks: 80) Question No. 1 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The shortest distance between the line x = y = z and the line of intersectionof2z + y+2z —1=0and 3z +y+ 22— 2 =0is 1. A. i units 1 - B. — units V3 Question No. 2 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. If A, B and C are three points position vectors a, b and ¢ respectively, then perpendicular distance of A from the line joining B and C'is Jaxbxc| " 2(bxc) |a> wlbo @ Question No. 7 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The length of the perpendicular (in units) from the point (1,2, 4) on the straight line I—Iz = %7 = % lies in the interval Question No. 8 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Let A(4,7,8), B(2,3,4) and C(2, 5, 7) be the position vectors of the vertices of a AABC. The length of the internal bisector of the angle of A is Question No. 9 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The direction cosines !, m and n of two lines are connected by the relations [ + m + n = 0 and Im = 0, then the angle between the lines is NE] @ Question No. 10 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. If x1, 9,23... 234 are numbers such that x; = x41 = 150,Vi € {1,2,3,4,....9} and @iy —x; = —2,Vie{10,11,..... 33}, then median of X13X2, X3 eoenan X34 is A 134 B.135 c.148 D.150 Question No. 11 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. - =. Let x, y are non zero and non collinear vectors such that (aa® +ba + )3 + (afl2 + b8+ c)fl + (a2 +by+¢) (@ x7) =0, then (a + b+ ¢) is (where a, b, c € R) A.-2 B.-1 c.0 D.4 Question No. 12 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. If the lines Ifl = y13 = 212 and ””;1 = y;3 = 214 intersect at a point, then the value of N+ 4is equal to A8 B.10 c.13 D.5 Question No. 13 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Coefficient of variation of two distributions are 60 % and 75 %, and their standard deviation are 18 and 15 respectively, then their arithmetic means respectively are A.30,30 B.30, 20 c.20,30 D.20,20 Question No. 14 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The line passing through the points (5,1, a) and (3, b, 1) crosses the yz — plane at the point (O, % , *TB). Then Aa=2,b=38 Ba=4,b=6 ca==6,b=4 D.a=8,b=2 Question No. 15 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Consider a line passing through the point P(3, 4, 5)& having direction ratios (2, —2, 1). If image of point Q(1, —1, 8) w.r.t. given line is Q’, then length of median of APQQ’ through vertex P is - A2 B.3 c.2.5 D.3.5 Question No. 16 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. If the points with position vectors ol +10J + 13k, 61 + 113 + 11k,32 i+p8j —8kare collinear, then (19c — 64)? is equal to A.36 B.25 c.49 D.16 Question No. 17 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. = 2 s - g T Ifa=1-2j+3kand b =-31+j —kand T I e S T. ) r Xxa=DbxXa,r xb =a x b thenaunitvectorin _> the direction of r is Ad(=21+]-k 8.1 (-21 -] +2k) c.3(-21—j-2k) D. None of these Question No. 18 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The direction cosines of two lines satisfy 2! + 2m — n = 0 and Im + mn + nl = 0. The angle between these lines is s A.T s 8.7 i "6 s D,§ Question No. 19 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. Letd= 32 +23+2icandg =142j— 2k be two vectors. Ifa vector perpendicular to both the vectors @ + Bandd — b has the magnitude 12 then one such vector is: Question No. 20 Only One Option Correct Type Each question has multiple options out of which ONLY ONE is correct. The perpendicular distance of P(1, 2, 3) from the line 2=6 _ ¥ T _ 27 3 7 = 218 AT B.5 c.0 D.6 Mathematics Numerical (Maximum Marks: 20) Question No. 1 Numerical Type The answer has to be filled into the input box provided below. Given two skew-lines with parametric equations z=1+t y=1+6t, z=2tand =1+ 2s, y=>5+ 15s, 2 = —2 + s. The shortest distance between these two given lines is equal to Question No. 2 Numerical Type The answer has to be filled into the input box provided below. Mean of 100 observations is 45. If it was later found that two observations 19 and 31 were incorrectly recorded as 91 and 13. The correct mean is n. what is value of [n]. ([.] is greatest integer function). Question No. 3 Numerical Type The answer has to be filled into the input box provided below. In AABC, a point P is chosen on side _/_XB so that. AP : PB=1 : 4andapoint Qs chosengn_)the side BC so that CQ : QB =1 : 3. Segment C? and AQ intersects at M. If the ratio 1‘1;%’ is expressed as a rational number in the lowest term as & , then find |a — b. Question No. 4 Numerical Type The answer has to be filled into the input box provided below. If the length intercepted by a line with direction ratios 2, 7, —5 between the lines 32 = y:17 = ZJ{Q and 1:33 = 953 — =6 VE, thenk = Question No. 5 Numerical Type The answer has to be filled into the input box provided below. Let [d| = 1, E‘ —d4and @ x 7 + b = 7. If the projection of 7 along @ is 2, then the projection of 7* along bisK, find 4K