A) \[15.7\times {{10}^{-7}}Wb/{{m}^{2}}\] done clear
B) \[22.2\times {{10}^{-7}}Wb/{{m}^{2}}\] done clear
C) \[12.6\times {{10}^{-7}}Wb/{{m}^{2}}\] done clear
D) \[18.9\times {{10}^{-7}}Wb/{{m}^{2}}\] done clear
View Answer play_arrowA) Experiences a net force only. done clear
B) Experiences a torque only. done clear
C) May undergo translatory motion as well as rotational motion. done clear
D) remains at absolute rest. done clear
View Answer play_arrowA) \[\frac{\lambda \omega {{R}^{3}}}{6}\] done clear
B) \[\frac{\lambda \omega {{\ell }^{3}}}{3}\] done clear
C) zero done clear
D) \[\frac{\lambda {{\omega }^{2}}{{\ell }^{2}}}{3}\] done clear
View Answer play_arrowA) 6.28 m done clear
B) 3.14m done clear
C) 0.95m done clear
D) 5.25m done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) circle only done clear
B) square only done clear
C) equilateral triangle only done clear
D) all shapes done clear
View Answer play_arrowA) 1000 J done clear
B) 600 J done clear
C) 1250 J done clear
D) zero done clear
View Answer play_arrowA) 0.25 A done clear
B) 1.2 A done clear
C) 3.6 A done clear
D) 1.6 A done clear
View Answer play_arrowA) 0.4 s done clear
B) 0.314 s done clear
C) 0.2 s done clear
D) 0.625 s done clear
View Answer play_arrowA) \[\frac{{{\mu }_{0}}}{2}\ell n(3)\] done clear
B) \[\frac{{{\mu }_{0}}}{2}\ell n(5)\] done clear
C) \[{{\mu }_{0}}\ell n(3)\] done clear
D) zero done clear
View Answer play_arrowA) 100 Watt done clear
B) 30 Watt done clear
C) zero done clear
D) 20 Watt done clear
View Answer play_arrowA) The impedance of circuit is \[10\,\Omega \] done clear
B) The reactance in circuit is \[5\sqrt{3}\,\Omega \] done clear
C) The resistance in circuit is 5 Q done clear
D) All the above done clear
View Answer play_arrowA) 88 volt done clear
B) 60 volt done clear
C) 8 volt done clear
D) 20 volt done clear
View Answer play_arrowA) 12 A done clear
B) 4 A done clear
C) 8 A done clear
D) zero done clear
View Answer play_arrowA) \[\frac{2}{\sqrt{3}}\] done clear
B) \[\frac{4}{3}\] done clear
C) zero done clear
D) \[\frac{\sqrt{3}}{2}\] done clear
View Answer play_arrowA) \[\phi =\frac{\pi }{2}\] done clear
B) \[\phi ={{\cos }^{-1}}\left( \frac{7}{9} \right)\] done clear
C) \[\phi ={{\cos }^{-1}}\left( \frac{3}{7} \right)\] done clear
D) \[\phi =\pi \] done clear
View Answer play_arrowA) \[1.6\,{{\sec }^{-1}}\] done clear
B) \[0.25\,{{\sec }^{-1}}\] done clear
C) \[200\,{{\sec }^{-1}}\] done clear
D) \[3.2\,{{\sec }^{-1}}\] done clear
View Answer play_arrowA) The amplitude of oscillation of block done clear
B) The maximum velocity of block. done clear
C) The time period of oscillation of block. done clear
D) The mean position of block oscillation. done clear
View Answer play_arrowA) \[\ell =\frac{a}{\sqrt{2}}\] done clear
B) \[\ell =\frac{\sqrt{2}}{3}a\] done clear
C) \[\ell =\frac{4\sqrt{2}}{3}a\] done clear
D) \[\ell =4\sqrt{2}\,s\] done clear
View Answer play_arrowA) \[{{v}_{0}}\sqrt{\frac{2m}{k}}\And \sqrt{\frac{k}{2m}}\] done clear
B) \[{{v}_{0}}\sqrt{\frac{m}{2k}}\And \sqrt{\frac{2m}{k}}\] done clear
C) \[{{v}_{0}}\sqrt{\frac{m}{2k}}\And \sqrt{\frac{k}{2m}}\] done clear
D) \[{{v}_{0}}\sqrt{\frac{m}{k}}\And \,\sqrt{\frac{k}{m}}\] done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) 3.2 N done clear
B) 1.6 N done clear
C) 12.5 N done clear
D) 20 N done clear
View Answer play_arrowA) \[S=\frac{mg}{a}\] done clear
B) \[S=\frac{mg}{2\pi a}\] done clear
C) \[S=\frac{mg}{8\pi a}\] done clear
D) None of the above done clear
View Answer play_arrowA) \[\frac{45}{142}\] done clear
B) 1 done clear
C) \[\frac{65}{162}\] done clear
D) \[\frac{85}{162}\] done clear
View Answer play_arrowA) larger portion above water than previous. done clear
B) It will sink. done clear
C) Smaller portion above water than previous. done clear
D) Remains unchanged done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) 8 cm done clear
B) 11 cm done clear
C) 25 cm done clear
D) zero done clear
View Answer play_arrowA) \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{25}{16}\] done clear
B) \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{16}{25}\] done clear
C) \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{5}{4}\] done clear
D) \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{4}{5}\] done clear
View Answer play_arrowA) The wavelength of wave is 4 cm. done clear
B) The maximum displacement of free end of rod about mean position is 3 cm. done clear
C) Every point on rod performs SHM. done clear
D) maximum displacement of free end is zero. done clear
View Answer play_arrowA) 3.64 Hz done clear
B) 2.42 Hz done clear
C) 160 Hz done clear
D) 1.68 Hz done clear
View Answer play_arrowA) 1 done clear
B) 12.87 done clear
C) 11.13 done clear
D) 1.35 done clear
View Answer play_arrowquestion_answer32) Which of the following is the correct order of basicity for the given molecules?
A) I > II > III done clear
B) III > II > I done clear
C) III > I > II done clear
D) II > I > III done clear
View Answer play_arrowA) \[0.208\,S\,c{{m}^{-1}}\] done clear
B) \[0.102\,\,S\,c{{m}^{-1}}\] done clear
C) \[0.320\,S\,c{{m}^{-1}}\] done clear
D) \[0.152\,S\,c{{m}^{-1}}\] done clear
View Answer play_arrowA) \[28.3\times {{10}^{-2}}g\] done clear
B) \[2.83\times {{10}^{-3}}g\] done clear
C) \[1.0\times {{10}^{-7}}g\] done clear
D) \[1.0\times {{10}^{-4}}g\] done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[C{{H}_{3}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-CHO\] done clear
B) \[\underset{CHO}{\overset{CHO}{\mathop{|}}}\,\] done clear
C) \[\begin{align} & COOH \\ & | \\ & COOH \\ \end{align}\] done clear
D) \[\begin{align} & CHO \\ & | \\ & COOH \\ \end{align}\] done clear
View Answer play_arrowA) done clear
B) \[C{{H}_{3}}CHO\] done clear
C) \[{{C}_{2}}{{H}_{5}}-COCl\] done clear
D) \[C{{H}_{3}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\] done clear
View Answer play_arrowquestion_answer38) Addition of \[B{{r}_{2}}\] to cis-2-butene would give a product which is
A) Having no chiral carbon done clear
B) Meso compound done clear
C) Racemic mixture done clear
D) 2-bromo butane done clear
View Answer play_arrowA) \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ H \end{smallmatrix}}{\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}}\,-\underset{\begin{smallmatrix} | \\ Br \end{smallmatrix}}{\mathop{C}}\,H=C{{H}_{2}}\] done clear
B) \[\underset{\begin{smallmatrix} | \\ Br \end{smallmatrix}}{\mathop{C}}\,{{H}_{2}}-\underset{\begin{smallmatrix} \\ \end{smallmatrix}}{\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{CH}}}\,-\underset{{}}{\mathop{C}}\,{{H}_{2}}C{{H}_{3}}\] done clear
C) \[C{{H}_{2}}-\underset{\begin{smallmatrix} | \\ Br \end{smallmatrix}}{\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}}\,-C{{H}_{2}}-C{{H}_{3}}\] done clear
D) \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ H \end{smallmatrix}}{\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}}\,-C{{H}_{2}}C{{H}_{2}}Br\] done clear
View Answer play_arrowA) 0.0447 done clear
B) 0.513 done clear
C) 0.825 done clear
D) 0.0003 done clear
View Answer play_arrowquestion_answer41) Which of the following can show geometrical isomerism?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer42) The following carbocation rearranges to
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[N{{O}_{2}}\] done clear
B) \[{{N}_{2}}{{O}_{4}}\] done clear
C) \[{{N}_{2}}{{O}_{3}}\] done clear
D) \[{{O}_{2}}\] done clear
View Answer play_arrowquestion_answer44) Which of the following is not an aromatic compound?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer45) Which of the following carbocations is most stable?
A) done clear
B) \[{{C}_{6}}{{H}_{5}}-\overset{+}{\mathop{C}}\,H-{{C}_{6}}{{H}_{5}}\] done clear
C) \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\] done clear
D) done clear
View Answer play_arrowquestion_answer46) All the given hydrocarbons are weak acids. Which one of them is strongest acid?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer47) pH of \[{{10}^{-8}}M\,HCl\] solution will be approximately
A) 8.0 done clear
B) 7.5 done clear
C) 6.9 done clear
D) 2.5 done clear
View Answer play_arrowA) \[{{10}^{-3}}M\] done clear
B) \[{{10}^{-4}}M\] done clear
C) \[{{4}^{1/3}}\times {{10}^{-3}}M\] done clear
D) \[2\times {{10}^{-5}}M\] done clear
View Answer play_arrowquestion_answer49) Arrange the following hydrogens in decreasing order of their acidic strength:
A) a > b > c done clear
B) b > a > c done clear
C) b > c > a done clear
D) a > c > b done clear
View Answer play_arrowquestion_answer50) Which of the following can't act as buffer?
A) \[NaCN+HCl\] done clear
B) \[C{{H}_{3}}COONa+HCl\] done clear
C) \[N{{H}_{4}}OH+HCl\] done clear
D) \[N{{H}_{4}}Cl+HCl\] done clear
View Answer play_arrowA) 66% done clear
B) 42% done clear
C) 34% done clear
D) 58% done clear
View Answer play_arrowA) \[{{\left( C{{H}_{3}} \right)}_{3}}CBr\] done clear
B) \[C{{H}_{3}}C{{H}_{2}}C{{H}_{2}}C{{H}_{2}}Br\] done clear
C) \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ Br \end{smallmatrix}}{\mathop{C}}\,H-C{{H}_{2}}C{{H}_{3}}\] done clear
D) \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,H-C{{H}_{2}}Br\] done clear
View Answer play_arrowquestion_answer53) Reaction of \[HCN\] does not take place with which of the following?
A) \[C{{H}_{3}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-H\] done clear
B) \[{{C}_{6}}{{H}_{5}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\] done clear
C) \[{{C}_{4}}{{H}_{9}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-H\] done clear
D) \[{{C}_{6}}{{H}_{5}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-{{C}_{6}}{{H}_{5}}\] done clear
View Answer play_arrowquestion_answer54) Which of the following does not give Fehling solution test?
A) \[C{{H}_{3}}CHO\] done clear
B) Glucose done clear
C) Benzaldehyde done clear
D) Succinaldehyde done clear
View Answer play_arrowA) 3 done clear
B) 4 done clear
C) 2 done clear
D) 1 done clear
View Answer play_arrowA) 2 done clear
B) 3.3 done clear
C) 4.0 done clear
D) 4.5 done clear
View Answer play_arrowquestion_answer57) In which of the following compounds, enol form will be maximum?
A) \[C{{H}_{3}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\] done clear
B) \[C{{H}_{3}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-{{C}_{2}}{{H}_{5}}\] done clear
C) \[C{{H}_{3}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{2}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\] done clear
D) \[C{{H}_{3}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{2}}-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{2}}\] done clear
View Answer play_arrowA) \[{{(C{{H}_{3}})}_{2}}CH-C{{H}_{2}}-CH=C{{H}_{2}}\] done clear
B) \[{{(C{{H}_{3}})}_{2}}CHOH\] done clear
C) \[{{(C{{H}_{3}})}_{2}}CH-O-C{{H}_{2}}-CH=C{{H}_{2}}\] done clear
D) \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,H-CH=C{{H}_{2}}\] done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) Oximes are formed when carbonyl compounds react with hydroxylamine. done clear
B) In slight acidic conditions, dehydration step is the rate determining step. done clear
C) Condensation of carbonyl compounds with ammonia derivatives is more effective in strong acidic medium done clear
D) In strong acidic condition, addition step becomes rate determining step. done clear
View Answer play_arrowA) 7 done clear
B) 10 done clear
C) 12 done clear
D) None of these done clear
View Answer play_arrowA) 2 done clear
B) - 2 done clear
C) - 1 done clear
D) None of these done clear
View Answer play_arrowA) \[\left( -4,\,\sqrt{2} \right)\cup \left( \sqrt{2},4 \right)\] done clear
B) \[\left( -4,\,-2\sqrt{2} \right)\,\cup \,\left( 2\sqrt{2},\,4 \right)\] done clear
C) \[\left( -4,\,\sqrt{2} \right)\cup \left( 2\sqrt{2},\,4 \right)\] done clear
D) \[\left( -4,\,4 \right)\] done clear
View Answer play_arrowA) \[x-y=7\] done clear
B) \[x+y=17\] done clear
C) \[{{\left( x-12 \right)}^{2}}+{{\left( y-5 \right)}^{2}}={{13}^{2}}\] done clear
D) \[{{\left( x-12 \right)}^{2}}+{{\left( y-5 \right)}^{2}}=2\times {{13}^{2}}\] done clear
View Answer play_arrowA) \[-\frac{d}{4}\] done clear
B) \[-\frac{d}{2}\] done clear
C) \[-d\] done clear
D) \[-2d\] done clear
View Answer play_arrowquestion_answer66) \[\int\limits_{-2\pi }^{7\pi }{\frac{\sin x}{|\sin x|}dx=}\]
A) \[-\pi \] done clear
B) \[\pi /2\] done clear
C) \[\pi \] done clear
D) \[2\pi \] done clear
View Answer play_arrowA) 1 m/s done clear
B) 2 m/s done clear
C) 3 m/s done clear
D) 4m/s done clear
View Answer play_arrowquestion_answer68) LMVT is-applicable for which of the following functions
A) \[f(x)=\tan ({{x}^{2}}),\,x\in [3,\,4]\] done clear
B) \[f(x)=\tan x,\,x\in [1,\,3]\] done clear
C) \[f(x)=\sin (4{{x}^{3}}-5{{x}^{2}}+x-2),\,x\in [0,1]\] done clear
D) \[f(x)={{x}^{4/5}}{{(x-1)}^{1/5}},\,x\in \left[ -\frac{1}{2},\,\frac{1}{2} \right]\] done clear
View Answer play_arrowA) even done clear
B) odd done clear
C) any natural number done clear
D) None of these done clear
View Answer play_arrowA) increasing \[[0,\,\pi ]\] done clear
B) increasing in \[\left[ 0,\frac{\pi }{2} \right]\] done clear
C) decreasing in \[[0,\,2\pi ]\] done clear
D) decreasing in \[\left[ -\frac{\pi }{2},\,\frac{3\pi }{2} \right]\] done clear
View Answer play_arrowA) \[\frac{{{e}^{2}}+2e-3}{2}\] done clear
B) \[\frac{-{{e}^{2}}+2e-3}{2}\] done clear
C) \[\frac{-{{e}^{2}}+2e+1}{2}\] done clear
D) \[\frac{-{{e}^{2}}+2e-1}{2}\] done clear
View Answer play_arrowA) \[{{(\cos x)}^{\sin x}}.\ell n(\cos x)+c\] done clear
B) \[{{(\cos x)}^{\cos x}}.\sin x+c\] done clear
C) \[{{(\cos x)}^{\sin x}}+c\] done clear
D) \[{{(\cos x)}^{\sin x-1}}+c\] done clear
View Answer play_arrowA) \[x{{\left( \frac{dy}{dx} \right)}^{2}}-y\frac{dy}{dx}+1=0\] done clear
B) \[x\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{2}}-1=0\] done clear
C) \[y\frac{dx}{dy}+x-1=0\] done clear
D) \[y\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{2}}=0\] done clear
View Answer play_arrowquestion_answer74) Solution of the differential equation \[(x{{y}^{4}}+y)dx-xdy=0\] is
A) \[3{{x}^{2}}{{y}^{3}}+4{{x}^{3}}=c{{y}^{3}}\] done clear
B) \[3{{x}^{4}}{{y}^{3}}+4{{x}^{3}}=c{{y}^{3}}\] done clear
C) \[3{{x}^{6}}{{y}^{3}}+4{{x}^{3}}=c{{y}^{3}}\] done clear
D) \[3{{x}^{4}}{{y}^{3}}-4{{x}^{3}}=c{{y}^{3}}\] done clear
View Answer play_arrowA) \[{{x}^{2}}=2y+1-{{e}^{2y}}\] done clear
B) \[{{x}^{2}}=2y-1+{{e}^{2y}}\] done clear
C) \[{{x}^{2}}=2y+1-{{y}^{-2y}}\] done clear
D) \[{{x}^{2}}=-2y+1-{{e}^{2}}y\] done clear
View Answer play_arrowA) \[\frac{\pi }{6}\] done clear
B) \[\frac{\pi }{4}\] done clear
C) \[\frac{\pi }{3}\] done clear
D) \[\frac{\pi }{2}\] done clear
View Answer play_arrowA) square done clear
B) parallelogram done clear
C) rhombus done clear
D) None of these done clear
View Answer play_arrowA) 0 done clear
B) 1 done clear
C) 2 done clear
D) infinite done clear
View Answer play_arrowquestion_answer79) The area between \[y={{x}^{2}}-3\] and the line \[y=kx\] + 2 is least when k =
A) 0 done clear
B) 1 done clear
C) 2 done clear
D) None of these done clear
View Answer play_arrowA) \[{{e}^{\frac{\pi -4}{2}}}\] done clear
B) \[2{{e}^{\frac{\pi -4}{2}}}\] done clear
C) \[-{{e}^{\frac{\pi -4}{2}}}\] done clear
D) \[\frac{1}{2}{{e}^{\frac{\pi -4}{2}}}\] done clear
View Answer play_arrowA) 0 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
View Answer play_arrowA) \[3\sqrt{2}\] done clear
B) \[\frac{3}{\sqrt{2}}\] done clear
C) \[\frac{3}{\sqrt{2}}-1\] done clear
D) infinite done clear
View Answer play_arrowA) 2 done clear
B) 3 done clear
C) 5/2 done clear
D) 5 done clear
View Answer play_arrowA) \[{{e}^{x}}\left( \frac{x+1}{{{x}^{2}}+x+1} \right)+c\] done clear
B) \[{{e}^{x}}\left( \frac{x-1}{{{x}^{2}}+x+1} \right)+c\] done clear
C) \[{{e}^{x}}\left( \frac{2x-1}{{{x}^{2}}+x+1} \right)+c\] done clear
D) \[{{e}^{x}}\left( \frac{2x+1}{{{x}^{2}}+x+1} \right)+c\] done clear
View Answer play_arrowA) \[\frac{a}{b}\] done clear
B) \[ac\] done clear
C) \[\frac{b}{a}\] done clear
D) None of these done clear
View Answer play_arrowA) Both statements are True, Statement-2 explains Statement-1. done clear
B) Both statements are True, Statement-2 does not explain Statement-1. done clear
C) Statement-1 is True, Statement-2 is False. done clear
D) Statement-1 is False, Statement-2 is true. done clear
View Answer play_arrowA) Both statements are True, Statement-2 explains Statement-1. done clear
B) Both statements are True, Statement-2 does not explain Statement-1. done clear
C) Statement-1 is True, Statement-2 is False. done clear
D) Statement-1 is False, Statement-2 is true. done clear
View Answer play_arrowA) Both statements are True, Statement-2 explains Statement-1. done clear
B) Both statements are True, Statement-2 does not explain Statement-1. done clear
C) Statement-1 is True, Statement-2 is False. done clear
D) Statement-1 is False, Statement-2 is true. done clear
View Answer play_arrowA) Both statements are True, Statement-2 explains Statement-1. done clear
B) Both statements are True, Statement-2 does not explain Statement-1. done clear
C) Statement-1 is True, Statement-2 is False. done clear
D) Statement-1 is False, Statement-2 is true. done clear
View Answer play_arrowA) Both statements are True, Statement-2 explains Statement-1. done clear
B) Both statements are True, Statement-2 does not explain Statement-1. done clear
C) Statement-1 is True, Statement-2 is False. done clear
D) Statement-1 is False, Statement-2 is true. done clear
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