INDIAN ASSOCIATION OF PHYSICS TEACHERS NATIONAL STANDARD EXAMINATION IN PHYSICS

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1 INDIAN ASSOCIATION OF PHYSICS TEACHERS NATIONAL STANDARD EXAMINATION IN PHYSICS 5-6 Date f Examinatin: nd Nvember, 5 Time: 93 t 3 hrs Q. Paper Cde: P 36 Write the questin paper cde mentined abve n YOUR answer sheet (in the space prvided), therwise yur answer sheet will NOT be assessed. Nte that the same Q.P. Cde appears n each page f the questin paper. Instructins t Candidates. Use f mbile phnes, smartphnes, ipads during examinatin is STRICTLY PROHIBITED.. In additin t this questin paper, yu are given answer sheet alng with Candidate s cpy. 3. On the answer sheet, make all the entries carefully in the space prvided ONLY in BLOCK CAPITALS as well as by prperly darkening the apprpriate bubbles. Incmplete/incrrect/carelessly filled infrmatin may disqualify yur candidature. 4. On the answer sheet, use nly BLUE r BLACK BALL POINT PEN fr making entries and filling the bubbles. 5. Questin paper has tw parts. In part A(Q. Ns. t 6) each questin has fur alternatives, ut f which nly ne is crrect. Chse the crrect alternative and fill the apprpriate bubble, as shwn. Q. N. a c d In part A (Q. Ns. 6 t 7) each questin has fur alternatives ut f which any number f alternatives (,, 3 r 4) may be crrect. Yu have t chse ALL crrect alternatives and fill the apprpriate bubbles, as shwn. Q. N. 64 a c 6. Fr Part A, each crrect answer gets 3 marks. A wrng ne gets a penalty f mark. Part A full marks are 6 fr each questin, yu get them when ALL crrect answer are marked. 7. Any rugh wrk shuld be dne nly in the space prvided. 8. Use f nn prgrammable calculatr is allwed. 9. N candidate shuld leave the examinatin hall befre the cmpletin f the examinatin.. After submitting yur answerpaper, take away the Candidate s cpy fr yur reference. Please DO NOT make any mark ther than filling the apprpriate bubbles prperly in the space prvided n the answer sheet. Answer sheets are evaluated using machine, hence CHANGE OF ENTRY IS NOT ALLOWED. Scratching r verwriting may result in a wrng scre. DO NOT WRITE ON THE BACK SIDE OF THE ANSWER SHEET. FIITJEE Ltd., Nrth West Delhi Centre, , Central Market, West Avenue Rad, Punjabi Bagh (West), New Delhi - 6, Ph:

2 INDIAN ASSOCIATION OF PHYSICS TEACHERS NATIONAL STANDARD EXAMINATION IN PHYSICS 5-6 Q. Paper Cde: P 36. An expressin cntaining certain physics quantities is After evaluatin the crrect answer is: (D) 4. A bdy f mass m and radius R rlling hrizntally withut slipping at a speed v climbs a 3v ramp t a height. The rlling bdy can be 4g a sphere a circular ring a spherical shell (D) a circular disc 3. A particle f mass g starts frm rest at t = s frm a pint ( m, 4 m) and gets accelerated at.5 m/s alng x 3y 4 3 in XY plane. The angular mmentum f the particle abut the rigin (in SI units) at t = s is. 3k. 3k zer (D) 3k 4. A bdy released frm a height H hits elastically an inclined plane at a pint P. After the impact the bdy starts mving hrizntally and hits the grund. The height at which pint P shuld be situated s as t have the ttal time f travel maximum is H H 4 H 4 (D) H 5. A thin rd f length l in the shape f a semi circle is pivted at ne f its ends such that it is free t scillate in its wn plane. The frequency f f small scillatins f the semicircular rd is g g 4 l r and g l (D) g l 6. Tw air bubbles with radii r r r frmed f the same liquid stick t each ther t frm a cmmn interface. Therefre, the radius f curvature f the cmmn surface is r r infinity r r r r r (D) r r r 7. A particle executes a peridic mtin accrding t the relatin x 4cs 5tsin5t. Therefre, the mtin can be cnsidered t be the superpsitin f n independent simple harmnic mtins, where n is 3 4 (D) 5 8. A car mving alng a straight rad at a speed f u m/s applies brakes at t = secnd. The rati f distances travelled by the car during 3 rd and 8 th secnd is 5 : 3. The car cvers a distance f.5 m in the last secnd f its travel. Therefre, the acceleratin a (in m/s ) and the speed u (in m/s) f the car are respectively., 6.,.5, (D)., 6 FIITJEE Ltd., N-W Centre, 3, 3, 33, Central Market, West Avenue Rad, Punjabi Bagh, New Delhi - 6, Ph:

3 9. Masses m and m are cnnected t a string passing ver a pulley as shwn. Mass m starts frm rest and falls thrugh a distance d in time t. Nw, by interchanging the masses the time required fr m t fall thrugh the same distance is t. Therefre, the rati f masses m : m is (D) 4 3. The graph f specific heat f water (n Y axis) against temperature (n X axis) between C and C is a straight line parallel t the temperature axis is a straight line passing thrugh a pint 5 C, cal / g C and having a small psitive slpe. has a minimum between 4.5 C and 5.5 C (D) has a minimum at abut 3 C. A particle dide (p n junctin) when frward biased in equivalent t a clsed switch a cell (ptential difference) a small resistance (D) all the abve in series. The circuit shwn belw is equivalent t OR gate NOR gate AND gate (D) NAND gate 3. Which ne f the fllwing statements in cnnectin with a semi cnducting material is NOT CORRECT? They have negative temperature cefficient f resistance They have a mderate frbidden energy gap. Current is carried by electrns and hles bth. (D) Every semi cnducting material is a tetravalent element. Grup f Q. N. 4 t is based n the fllwing paragraph Generally light emitted frm a surce cntains several wavelengths. Similarly the electrical vltage at the utput f a sensr cntains a mixture f dc and several ac cmpnents f different amplitudes and different frequencies. Filter circuits are used t pass desired frequencies and / r t eliminate undesired frequencies. The frequencies transmitted by the filter frm the pass band while the frequencies eliminated by the filter frm the stp band r rejectin band. We can think f fur basic types f electrical filters a lw pass filter where frequencies belw a certain cutff frequency c are passed. Similarly ne can think f a high pass filter, band pass filter, band stp (r band rejectin) filter. The cutff frequency c is the frequency at which the utput vltage falls t times its maximum value. An inductr and/r a capacitr is an essential cmpnent f a filter. Generally a resistance is included in a filter circuit t determine the time cnstant and hence the cutff frequency. FIITJEE Ltd., N-W Centre, 3, 3, 33, Central Market, West Avenue Rad, Punjabi Bagh, New Delhi - 6, Ph:

4 4. Refer t the RC netwrks () and () shwn belw. Which f the fllwing statements is true? Each f the tw netwrks represents a lw pass filter. Each f the tw netwrks represents a high pass filter. Netwrk () represents a lw pass filter while netwrk () a high pass filter. (D) Netwrk () represents a high pass filter while netwrk () a lw pass filter. 5. The input utput vltage relatin fr a certain high pass filter is given by V CR V i C R The cut ff frequency c fr this filter will be RC RC RC 6. The input utput vltage relatin fr a certain filter circuit is given by V A V i where is the angular frequency f the input while, A and are cnstants. This relatin is meant fr lw pass filter high pass filter band pass filter (D) band stp filter 7. Refer t the fllwing schematic diagrams f different cmbinatins f a lw pass filter (LPF) and a high pass filter (HPF). Assume f f. The cmbinatin that wrks as a band pass filter is (D) RC i iii ii (D) iv 8. Refer t the schematic diagram in Q. N. (47). The cmbinatin that wrks as a band eliminatin filter is i ii iii (D) iv FIITJEE Ltd., N-W Centre, 3, 3, 33, Central Market, West Avenue Rad, Punjabi Bagh, New Delhi - 6, Ph:

5 9. An astrphysicist desires t study radiatin at wavelengths higher than thse fr visible light cming frm a certain celestial bdy. He must use an ptical filter that is high pass lw pass band pass (D) band rejectin. Figure belw shws an acustical filter that cnsists f a set f identical cavities cnnected by narrw tubes and figure shws its electrical analg. The acustical filter represented by figure is lw pass band pass high pass (D) band rejectin. Graphs I, II and III and IV shwn belw represent the frequency respnse f different types f filter circuits. The crrect rder f these graphs crrespnding t lw pass, high pass band pass and band tp filter is I, II, III, IV IV, II, III, I II, IV, III, I (D) IV, III, II, I Grup f Q. Ns. t 3 is based n the fllwing paragraph. Equal vlumes f tw liquids (L and L ) are taken in tw identical calrimeters. Bth L and L are initially at abut 8 CC. Calrimeters are crked fitted with thermmeters t recrd the temperatures f the liquids. The temperatures are recrded every 3 s alternating between the tw liquids, that is the temperatures are recrded at an interval f min fr any ne liquid. The graphs f temperature ( C) versus time t (min) fr tw liquids L and L are as shwn.. Frm the graphs it can be said that Newtn s law f cling is nt valid the specific heat f L is greater than that f L the bservatin recrded are nt cnsistent (D) nne f the abve statements are crrect FIITJEE Ltd., N-W Centre, 3, 3, 33, Central Market, West Avenue Rad, Punjabi Bagh, New Delhi - 6, Ph:

6 3. Equal vlumes f the tw liquids are necessary s that heat cntents f the tw liquids are equal the expsed surfaces are equal the calculatins are simplified (D) nne f the abve 4. The nature f the uter surfaces f the calrimeters shuld be blackened and rugh shuld be silvered and rugh shuld be silvered and plished / shining (D) culd be arbitrary 5. Which f the fllwing arrangements wuld be the ideal envirnment fr the tw calrimeters? A duble walled bx, bth inner and uter space filled with water A duble walled bx with water in the inner bx and empty uter bx A duble walled bx with water in the uter bx and empty inner bx (D)In air withut any bx. 6. The tw curves will intersect at sme later time merge after a lng time remain separate at all times (D) be parallel t the X axis but distinct after a lng time 7. Given: mass f L = 5 g and mass f L = 6.5 g. If water equivalent f calrimeters is s assumed t be negligible, then s equals (D) If and are the densities f L and L respectively then, identify the crrect statement s s, s s, s s, (D) s s, 9. If the experiment is carried ut with equal masses f the tw liquids, then L will cl faster L will cl faster bth the liquids will cl at the same rate (D) nthing can be said abut the rates as data are insufficient 3. The entire experiment is repeated with ther tw liquids having nearly the same specific heats. Then, the tw curves will be cincident. the tw curves will be parallel. the tw curves will intersect at a pint. (D) nthing can be said abut the tw curves as data are insufficient. 3. When a light wave is incident at the interface between tw media, the reflectin cefficient is n given by where n is the refractive index f the denser medium with respect t the n rarer medium. Tw stretched strings whse linear densities are 5 g/m and 9 g/m are jined tgether. Assuming the law f ptics hlds gds here als, the reflectin cefficient fr the pulse alng the strings is 9/6 3/4 /6 (D) /9 FIITJEE Ltd., N-W Centre, 3, 3, 33, Central Market, West Avenue Rad, Punjabi Bagh, New Delhi - 6, Ph:

7 3. A certain perfect gas ccupying litre at 8 cm f Hg suddenly expands t 9 cc while the pressure falls t 6 cm f Hg. Therefre, the gas is plyatmic diatmic mnatmic (D) data inadequate 33. Tw thin rds f lengths I and I at a certain temperature are jined t each ther end t end. The cmpsite rd is then heated thrugh a temperature. The cefficients f linear expansin f the tw rds are and respectively. Then, the effective cefficient f linear expansin f the cmpsite rd is I I I I I I I I (D) 34. A y-y has a spl f mass m and radius R. A massless string is wuld arund an axle f radius b and f negligible mass. If the y-y released frm rest has a dwnward acceleratin f g/9, the rati R/b is 3 4 (D) A pulley f negligible mass is suspended frm a spring balance. Blcks weighing 5. kg and 3. kg are attached t the tw end ends f a string passing ver the pulley. The reading n the spring balance will be 8. kg 7.5 kg. kg (D) 4. kg 36. A unifrm rd (ABCDAC) is bent in the shape f a kite as shwn. If a pint X alng AC is the centre f mass f the structure, distance AX is.5m.8m.m (D).m 37. Tw particles, each f mass m and charge q are attached at the ends f a light rd f length r. The rd is rtated at a cnstant angular speed abut an axis perpendicular t the rd passing thrugh its centre. The rati f magnetic mment f the system t it angular mmentum q/m q/m q/m (D) q/4m 38. A jet f water f crss sectinal area A hits a plate nrmally with velcity v. The plate is mving in the directin f the jet with velcity V. Therefre, the frce exerted n the plate is prprtinal t v v (v V) (D) (v V) 39. A heavy cylindrical shaft (pile) f mall M is driven vertically thrugh a distance s int the grund by the blw f a pile driver f mass m. The pile driver drps vertically thrugh a distance h int the head f the pile. The average resistance f the grund id m h m h g m g m M M s m M s M h m h g m M (D) g m M m s m M s FIITJEE Ltd., N-W Centre, 3, 3, 33, Central Market, West Avenue Rad, Punjabi Bagh, New Delhi - 6, Ph:

8 4. An ptical fibre cnsists f a cre (refractive index n ) surrunded by a cladding (refractive index n ). A ray f light enters the fibre frm air at and angle with the fibre axis. The maximum value f fr which the ray can prpagate dwn the fibre is sin n n sin n n sin n n (D) sin n n 4. A wire ab f length cm is fixed in the shape f a sinusidal curve as shwn. The wire carries a current f. A. In a unifrm magnetic field B f. T, the wire experience a frce whse magnitude is. N N zer (D) insufficient data 4. A charge (Q) is distributed unifrmly n a spherical balln f radius R. Anther pint charge (+Q) is situated at the centre f the balln. The balln is nw inflated t twice the radius. Neglecting the elastic energy invlved in the prcess, the change in ttal electric energy f the system is Q Q R 4 R Q 4 R (D) zer 43. A rainbw is frmed when a ray f sunlight passes thrugh a spherical raindrp. Then the ttal angle thrugh which the ray deviates is (i and r dente the angles f incidence and f refractin respectively) i 4r + i 4r (i r) (D) ( + i r) 44. A series LCR circuit is cnnected t an ac surce f frequency f and a vltage V. At this frequency, reactance f the capacitr is 35 hm while the resistance f the circuit is 8 hm. Current in the circuit leads the vltage by 54 and pwer dissipated in the circuit is 4 watt. Therefre, vltage V is 5 vlt 6 vlt 7 vlt (D) 8 vlt 45. A car has a rear view mirrr f fcal length cm. A truck m brad and.6 m in height is vertaking the car with a relative speed f 5 km/hr. At the mment when the truck is 6 m behind the car, the driver will see the image f the truck t be mving at a speed f.43 m/s.3 m/s. m/s (D) 4.7 m/s 46. In the circuit shwn belw the switch is clsed at t =. Fr < t < R (C + C ), the current I in the capacitr C in terms f ttal current I is C C I I C C C C I (D) I C C C C FIITJEE Ltd., N-W Centre, 3, 3, 33, Central Market, West Avenue Rad, Punjabi Bagh, New Delhi - 6, Ph:

9 47. The earth is getting energy frm the sum whse surface temperature is T s and radius is R. Let the radius f the earth be r and the distance frm the sun be d. Assume the earth and the sun bth t behave as perfect black bdies and the earth is in thermal equilibrium at a cnstant temperature T e. Therefre, the temperature T s f the sun is xt e where x is d R R r 4d r (D) d R 48. Imagine an atm made up f a prtn and a hypthetical particle f duble the mass as that f an electrn but the same charge. Apply Bhr thery t cnsider transitins f the hypthetical particle t the grund state. Then, p the lngest wavelength (in terms f Rydberg cnstant fr hydrgen atm) is R 5 3R 49. The half life perid f a radiactive element X is the same as the mean lifetime f anther radiactive element Y. Initially bth f them have the same number f atms. Then, X and Y have the same initial decay rate X and Y decay at the same rate always Y will decay at larger rate than X (D) X will decay at larger rate than Y 5. A sdium atm emits a phtn f wavelength 59 nm and recils with velcity v equal t.9 m/s.48 m/s.3 m/s (D) data inadequate 5. Tw cils wund in the same magnetic cre have inductances L and L. When the tw cils are cnnected in series, the effective inductance is L + L certainly greater than L + L certainly less than L + L (D) nne f the abve 5. A particle f mass m and charge q mves alng a diameter f a unifrm spherical charge distributin f radius R with ttal charge +Q. The angular frequency f the peridic mtin perfrmed by the particle is qq qq qq qq (D) mr mr mr 4 mr 53. A spherical bdy f mass m mving with a speed u cllides elastically with a lighter spherical bdy f mass m initially at rest. The maximum angle thrugh which the heavier bdy gets deflected after cllisin depends upn m and u nly m and u nly m and m nly (D) m, m and u all 54. A nn-cnducting spherical shell f radius R surrunds a pint charge q. The electric flux thrugh a cap f the shell f half angle is q q q q cs (D) In a Yung s duble slit experiment the intensity at a pint is I where the crrespnding path difference is ne sixth f the wavelength f light used. If I dentes the maximum intensity, I the rati is equal t I 4 3R 3 (D) 3R (D) 3 4 FIITJEE Ltd., N-W Centre, 3, 3, 33, Central Market, West Avenue Rad, Punjabi Bagh, New Delhi - 6, Ph:

10 56. A charge +q is placed at a distance f d frm a pint O. A cnducting bdy surrunds pint O such that q remains utside. The electric field at O due t the induced charge is zer q directed twards the charge q 4 d q directed away frm the charge q 4 d (D) data insufficient 57. A caxial cable cnsists f tw thin cylindrical cnducting shells f radii a and b (a < b). The inductance per unit length f the cable is a b a ln b ln (D) b ln a 4 b 4 a a 58. Tw cherent surces f light S and S, equidistant frm the rigin, are separated by a distance as shwn. They emit light f wavelength. Interference is bserved n a screen placed alng the circle f large radius R. Pint P is seen t be a pint f cnstructive interference. Then, angle (ther than and 9 ) is (D) nt pssible in the first quadrant 59. If a current f A passing thrugh a certain electrlyte fr t minutes librates gram f xygen, then t is abut 6 5 (D) 5 6. A plarized light is incident n a Plarid. Let I be the intensity f light transmitted by this Plarid. Nw, a very large number (say N) f plarids is placed in a rw with their axes displaced thrugh a small angle successively. If the last plariid is crssed t the first ne, the intensity f light transmitted by the last Plarid is abut zer l I (D) I N 6. Which f the fllwing statement/s is/are crrect in case f a resistance in a resistance bx used in a labratry? The resistance is prepared using tungsten r nichrme wire The resistance is prepared using manganin wire Half f the length f the resistance wire is wuld clckwise and the remaining half anticlckwise just t accmmdate the whle length in a small space (D) Half f the length f the resistance wire is wund clckwise and the remaining half anticlckwise t make the inductive effect zer. 6. In a certain experiment density f the material f a small metallic cylindrical tube f a given mass is t be determined. Its length is abut 3 cm, uter diameter mre than abut cm and wall thickness abut mm; the flat base being a little thicker than mm. Which f the fllwing set/s f apparatus can be used t determine the vlume f the tube accurately? Water and a measuring cylinder Water, a measuring cylinder and a micrmeter screw gauge An verflw vessel, a measuring cylinder and water (D) Only vernier callipers FIITJEE Ltd., N-W Centre, 3, 3, 33, Central Market, West Avenue Rad, Punjabi Bagh, New Delhi - 6, Ph:

11 63. An bject and a screen are separated by a distance D. A cnvex lens f fcal length f such that 4f < D, is mved between the bject and the screen t get tw sharp images. If the tw psitins f the lens are separated by a distance L, then L is equal t DD 4f bject distance in ne psitin is numerically equal t image distance in the ther psitin the rati f sizes f the tw images is D L D L D L (D) the rati f sizes f the tw images is D L 64. A transistr (pnp r npn) can be used as an amplifier a switch an scillatr (D) a current surce 65. Which f the fllwing is/are the unit/s f magnetic field? tesla Newtn/ampere-meter weber/meter (D) vlt-secnd/meter 66. The inductance f a slenid varies directly as the area f crss sectin directly as the square f the number f turns inversely as the length f the slenid (D) directly as the vlume enclsed by the slenid 67. Which f the fllwing statement/s in case f a thermdynamic prcess is/are crrect? (The symbls carry their usual meaning Eint =W indicates an adiabatic prcess Eint = Q suggests an ischric prcess Eint = is true fr a cyclic prcess (D) Eint = W indicates an adiabatic prcess 68. With a rise f temperature surface tensin f water decreases viscsity f air decreases viscsity f water decreases (D) viscsity f air increases 69. Which f the fllwing statement/s are crrect in case f a surce f emf (such a primary cell)? Inside the cell there always exist an electrstatic field and a nn electrstatic field f equal magnitude directed ppsite t it Ptential difference is the wrk f an electrstatic field whereas electrmtive frce is the wrk f a nn electrstatic field Under certain cnditin current can flw frm psitive terminal t negative terminal within the cell (D) When an external resistance is cnnected t the cell, the electrstatic field inside the cell decreases in magnitude cmpared t the nn electrstatic field. 7. When phtns each with energy 4.5 ev strike the surface f a metal A, the phtelectrns given ut have maximum kinetic energy T A and the crrespnding de Brglie wave length is A. When anther metal surface B is irradiated with phtns each with energy 4.7 ev, the crrespnding maximum kinetic energy T B is.5 ev less than T A. If the de Brglie wave length B f these phtelectrns is twice that f, then A wrk functin f metal A is.5 ev wrk functin f metal A is 4. ev T A =. ev (D) the radiatin incident n metal A has a wavelength 9 nm. FIITJEE Ltd., N-W Centre, 3, 3, 33, Central Market, West Avenue Rad, Punjabi Bagh, New Delhi - 6, Ph: