Test Paper Mock Test -4 Duration: 30min Total question :45 Total Marks: 60 PHYSICS
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1 Tst Papr Mock Tst -4 Duration: 30min Total qustion :45 Total Marks: 60 Each qustion carris 1 mark PHYSICS 1. A body is moving along a circular path with variabl spd. It has Marks:15 (a) a radial acclration (c) zro acclration (b) a tangntial acclration (d) both tangntial and radial acclrations. 2. A body is travling in a circl at constant spd. It (a) has constant vlocity. (b) has no acclration (c) has an inward acclration (d) has an outward radial acclration 3. A body of mass 100 gram, tid at th nd of a string of lngth 3 m rotats in a vrtical circl and is just abl to complt th circl. If th tnsion in th string at its lowst point is 3.7 N, thn its angular vlocity will b (g = 10 m/s2) (a) 4 rad/s (b) 3 rad/s (c) 2 rad/s (d) 1 rad/s 4. A body of mass 500 gram is rotating in a vrtical circl of radius 1 m. What is th diffrnc in its kintic nrgis at th top and th bottom of th circl? (a) 4.9 J (b) 19.8 J (c) 2.8 J (d) 9.8 J 5. A buckt containing watr is tid to on nd of a rop of lngth 2.5 m and rotatd about th othr nd in a vrtical circl. What should b th minimum vlocity of th buckt at th highst point, so that th watr in th buckt will not spill? (g = 10 m/s2) (a) 2.5 m/s (c) 5 m/s (b) 4 m/s (d) 7 m/s 1
2 SNJB s Lat Sau. K. B. Jain.Collg of Enginring, Chandwad 6. A buckt tid at th nd of a 1.6 m long string is whirld in a vrtical circl with a constant spd. What should b th minimum spd so that th watr from th buckt dos not spill whn th buckt is at th highst position? (a) 4 m/sc. (b) 6.25 m/sc. (c) 16 m/sc. (d) Non of ths 7. A can filld with watr is rvolvd in a vrtical circl of radius 4 mtr and th watr dos not fall down. Th tim priod of rvolution will b (a) 1 sc (b) 10 sc (c) 8 sc (d) 4 sc 8. A car is moving in a circular track of radius 10 mtr with a constant spd of 10 m/sc. A plumb bob is suspndd from th roof of th car by a light rigid rod of 1 mtr long. Th angl mad by th rod with th track is (a) zro (b) 30 (c) 45 (d) A car is moving in horizontal circular track of radius 10 m, with a constant spd of 36 km/hour. A simpl pndulum is suspndd from th roof of th car. If th lngth of th simpl pndulum is 1 m, what is th angl mad by th string with th track? (a) 30 (b) 45 (c) 60 (d) A car is moving on a circular path and taks a turn. If R1 and R2 ar th ractions on th innr and outr whls rspctivly, thn (a) R1 = R2 (b) R1 < R2 (c) R1 > R2 (d) R1 R2 11. A car is moving with a spd of 30 m/s on a circular path of radius 500 m. Its spd is incrasing at th rat of 2 m/s 2. Th acclration of th car is (a) 9.8 m/s 2 (b) 1.8 m/s 2 (c) 2 m/s 2 (d) 2.7 m/s Th body prforming uniform circular motion has. (A) Constant vlocity (B) constant acclration (C) Constant kintic nrgy (D) constant linar momntum 13. Th ration of angular spd of minut hand to hour hand of a clock is.
3 SNJB s Lat Sau. K. B. Jain.Collg of Enginring, Chandwad (A) 1:12 (B) 12:1 (C) 1:6 (D) 6:1 14. Th critical spd of a satllit of a mass 500kg is 20m/s. Th critical spd of anothr satllit of a mass 100kg moving in th sam orbit is (A) 20 km/hr (B) 40km/hr (C) 72km/hr (D) zro m/s 15. A fightr aroplan flying in th sky divs with a spd of 360 km/hr in a vrtical circl of radius 200 m. Wight of th pilot sitting in it is 75 kg. What will b th valu of forc with which th pilot prsss his sat whn th aroplan is at highst position (g = 10 m/s 2 ) (a) 3000 N (c) (75 g)n (b) 1500 N (d) 300 N CHEMISTRY Each qustion carris 1 mark Marks:15 1) Phosphinic acid nutralizs mols/s of sodium hydroxid. (A) 1 (B) 2 (C) 3 (D) 4 2) Which of th following dprssant is usd to sparat PbS and ZnS from th or. (A) CaCl2 (B)NaCN (C)HCN (D) FCO3 3) Which of th following is an intnsiv proprty? (A) Intrnal Enrgy (B) Volum \ (C) Hat capacity (D) Dnsity 4) Acooriding to R,S convntion, which of th following group hs highst priority? (A) -COOCH3 (B) -COCH3 (C) -COCH (D) CH2OH 5) 12 cm 3 of Bnzn is dissolvd in 18cm 3 of xyln. What will th prcntag volum of Bnzn? (A) 42.8% (B) 40% (C) 43.24% (D) 40.2% 6) In prparation of Holm s signal, phosphin is usd in combination with (A) calcium carbid (B) calcium hydroxid
4 (C) actyln SNJB s Lat Sau. K. B. Jain.Collg of Enginring, Chandwad (D) coppr sulphat 7) For th sam alkyl group, th ordr of boiling point of alkyl halids is (A) Chlorid<Bromid<Iodid (C) Chlorid<Bromid>Iodid (B) Chlorid>Bromid>Iodid (D) Chlorid>Bromid<Iodid 8) Which of th following pair of compounds is NOT isomorphous? (A) NaNO3 and CaCO3 (B) NaF and MgO (C) NaCl and KCl (D) Cr2O3 and F2O3 9) In Hall s procss which ragnt is usd as laching agnt? (A) aq.naoh (B)NaCN (C) HCN (D) aq.na2co3 10) Which amongst th following dos NOT influnc th rat of raction? (A) Prssur (B) Concntration of ractant C) Tmpratur (D) Molcularity 11) Which among th following is strong bas? (A) Mthanamin (B) Ethanamin (C) Bnznamin (D) Phnyl Mthanamin 12) 0.1 molal aquous solution of KCl frzs at C. What will b it s prcntag dissociation? (A) 99% (B) 50% (C) 100% (D) 75% 13) Which o foloin is NOT or of coppr? (A) Crocoisit (B) Malachit (C) Azurit (D) Cuptrit 14) Glucos on oxidation by mild oxidizing agnt lik bromin watr givs (A) Gloconic acid (B) Gluclaric acid (C) Saccharic acid (D) Lactic acid 15 Th tmpratur of th systm.dcrass in an. A adiabatic comprssion B isothrmal xpansion C isothrmal comprssion D adiabatic xpansion MATHEMATICS Each qustion carris 2 mark Marks:30 1) If B is squar matrix for which bji= j 2 -i 2, thn matrix B is. (A) zro (B) skw-symmtric (C) symmtric (D) unit
5 SNJB s Lat Sau. K. B. Jain.Collg of Enginring, Chandwad 2) In two matrix A and B ar of ordr s x t and u x v rspctivly thn AB is possibl if. (A) t=v (B) s=v (C) t=u (D) s=u 3) If matrix, A= [ ] thn A. [ ] =. (A) A-I (B) A+2I (C) A+I (D) 2I 4) If f(x) = x sinx thn f (x) at x= Π 2 is. (A) Π 2 +1 (B)1 (C) Π 2 (D) 0 5) Th quation of tangnt to th curv y =4x x at [ 1 4 (A) x=0 (B) y=0 (C) x= 4 6) Th ara btwn parabola y 2 =7x and x 2 =7y, is (D) y= 4 ] is. (A) 7 3 sq.units (B) 7 9 sq.units (C) 49 3 sq.units 7) Th function f(x) = logx, for x 0 has x 49 D) 9 sq.units (A) maximum valu 1 (B) minimum valu 1 (B) maximum valu (D) minimum valu 1 dx 8) 0 [ax+b(1 x)] 2 = (A) a b (B) b a (C)ab (D) 1 ab Π 9) 2 (acos 2 x + bsin 2 x)dx = 0 (A) Π 2 (a-b) (B) Π 2 (a+b) (C) Π 4 (a-b) (D) Π 4 (a+b) Π 10) 4 ( tanx + cotx )dx 0 =.
6 SNJB s Lat Sau. K. B. Jain.Collg of Enginring, Chandwad (A) Π 2 (B) 2 Π (C) Π 2 (D) Π 2 11) Th ara of th rgion boundd by th parabola y 2 =4a 2 (x-1) and th lin x=1and y=4a is. (A) 2a 3 sq. units (B) 4a 3 sq. units (C) 8a ) If M= [ 1 1 1] thn M 60= (A) 1 (B) 3 61 M (C) 3 59 M (D) 0 1 p 1 13) Th matrix [ 1 1 1] is non-invrtibl if p is a sq. units (D) sq. units 3 (A) -2 (B) 1 (C) 0 (D) ) Th adjoint of th matrix C is [ ] thn adj C is (A) c (B) -3c (C) 3d (D) c 15) A di is thrown 5 tims, thn th probability that an vn numbr will com up xactly 3 tims is (A) 5 16 (B) 1 2 (C) 3 16 (D) 3 2
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