A) \[\lambda <-5\] done clear
B) \[\lambda >3\] done clear
C) \[-5>\lambda <-3\] done clear
D) \[0>\lambda <3\] done clear
View Answer play_arrowA) \[\frac{7\sqrt{7}}{2\sqrt{3}}\] done clear
B) \[\frac{5\sqrt{7}}{2\sqrt{3}}\] done clear
C) \[\frac{14\sqrt{7}}{\sqrt{3}}\] done clear
D) \[\frac{7\sqrt{7}}{5\sqrt{3}}\] done clear
View Answer play_arrowA) \[\frac{43}{50}\] done clear
B) \[\frac{7}{50}\] done clear
C) \[\frac{15}{22}\] done clear
D) \[\frac{7}{22}\] done clear
View Answer play_arrowA) there cannot exist any B such that AB = BA. done clear
B) there exist more than one but finite number of B's such that AB=BA. done clear
C) there exists exactly one B such that AB = BA. done clear
D) there exist infinitely many B's such that AB done clear
View Answer play_arrowA) 2 done clear
B) 3 done clear
C) 4 done clear
D) 5 done clear
View Answer play_arrowA) F, F done clear
B) T, T done clear
C) F, T done clear
D) T, F done clear
View Answer play_arrowA) \[2e\] done clear
B) \[\frac{2}{e}\] done clear
C) 0 done clear
D) \[\frac{1}{e}\] done clear
View Answer play_arrowA) \[-5\] done clear
B) 5 done clear
C) 2 done clear
D) \[-2\] done clear
View Answer play_arrowquestion_answer9) If then x is equal to
A) 4 done clear
B) \[\ell n4\] done clear
C) 8 done clear
D) \[\ell n8\] done clear
View Answer play_arrowA) 2 done clear
B) 3 done clear
C) 4 done clear
D) 5 done clear
View Answer play_arrowA) 0 done clear
B) 1 done clear
C) 2 done clear
D) 3 done clear
View Answer play_arrowA) first quadrant done clear
B) second quadrant done clear
C) third quadrant done clear
D) fourth quadrant done clear
View Answer play_arrowA) \[\frac{1}{2}\] done clear
B) 1 done clear
C) \[\frac{\sqrt{3}}{2}\] done clear
D) \[\frac{\sqrt{3}-1}{2\sqrt{2}}\] done clear
View Answer play_arrowA) 5 done clear
B) 8 done clear
C) 10 done clear
D) 15 done clear
View Answer play_arrowquestion_answer15) Let A and B denote the statements
\[A:\,\,\cos {{\theta }_{1}}+\cos {{\theta }_{2}}+\cos {{\theta }_{3}}=0\] |
\[B:\,sin{{\theta }_{1}}+sin{{\theta }_{2}}+sin{{\theta }_{3}}=0\]. |
A) A is true and B is false done clear
B) A is false and B is true done clear
C) both A and B are true done clear
D) both A and B are false done clear
View Answer play_arrowA) 2 done clear
B) \[\sqrt{2}\] done clear
C) \[2\sqrt{2}\] done clear
D) 4 done clear
View Answer play_arrowA) \[2\hat{i}+3\hat{j}+3\hat{k}\] done clear
B) \[2\hat{i}+\hat{j}+5\hat{k}\] done clear
C) \[2\hat{i}+3\hat{j}-3\hat{k}\] done clear
D) \[2\hat{i}-\hat{j}+5\hat{k}\] done clear
View Answer play_arrowStatement-1: The only circle having radius \[\sqrt{10}\] and a diameter along line \[2x+y=5\]is\[{{x}^{2}}+{{y}^{2}}-6x+2y=0\]. |
Statement-2: The line \[2x+y=5\]is a normal to the circle\[{{x}^{2}}+{{y}^{2}}-6x+2y=0\]. |
A) Statement-1 is false, statement-2 is true. done clear
B) Statement-1 is true, Statement-2 is true and Statement-2 is NOT the correct explanation for statement-1. done clear
C) Statement-1 is true, Statement-2 is false. done clear
D) Statement-1 is true, Statement-2 is true and Statement-2 is correct explanation for statement- 1. done clear
View Answer play_arrowStatement-1: f has local maximum at\[x=-1\] and\[x=2\]. |
Statement-2: \[p=\frac{1}{2}\] and \[q=\frac{-1}{4}\] |
A) Statement-1 is true, Statement-2 is false. done clear
B) Statement-1 is true, Statement-2 is true and Statement-2 is NOT the correct explanation for Statement-1. done clear
C) Statement-1 is true, Statement-2 is true and Statement-2 is correct explanation for Statement-1. done clear
D) Statement-1 is false, Statement-2 is true. done clear
View Answer play_arrowquestion_answer20) Let z satisfy \[\left| z \right|=1\]and\[z=1-\overrightarrow{z}\].
Statement-1: z is a real number. |
Statement-2: Principal argument of z is\[\frac{\pi }{3}\]. |
A) Statement-1 is true, Statement-2 is true and Statement-2 is correct explanation for Statement-1. done clear
B) Statement-1 is true, Statement-2 is true and Statement-2 is NOT the correct explanation for Statement-1. done clear
C) Statement-1 is false, Statement-2 is true. done clear
D) Statement-1 is true, Statement-2 is false. done clear
View Answer play_arrowA) \[\frac{1}{6}\] done clear
B) \[\frac{2}{3}\] done clear
C) \[\frac{4}{3}\] done clear
D) \[\frac{1}{3}\] done clear
View Answer play_arrowA) \[\frac{1}{3}\] done clear
B) \[\frac{2}{3}\] done clear
C) \[\frac{4}{3}\] done clear
D) \[\frac{5}{3}\] done clear
View Answer play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
View Answer play_arrowA) \[3x+3y=40\] done clear
B) \[3x+3y+40=0\] done clear
C) \[3x-3y=40\] done clear
D) \[3y-3x=40\] done clear
View Answer play_arrowA) \[y=2\] done clear
B) \[y=-2\] done clear
C) \[y=x+\sqrt{3}\] done clear
D) \[y=x-\sqrt{3}\] done clear
View Answer play_arrowA) 4 minutes done clear
B) 4.5 minutes done clear
C) 1.5 minutes done clear
D) 2 minutes done clear
View Answer play_arrowquestion_answer27) The shortest distance between line \[y-x=1\] and curve \[x={{y}^{2}}\], is
A) \[\frac{3\sqrt{2}}{8}\] done clear
B) \[\frac{8}{3\sqrt{2}}\] done clear
C) \[\frac{4}{\sqrt{3}}\] done clear
D) \[\frac{\sqrt{3}}{4}\] done clear
View Answer play_arrowA) \[\frac{\pi }{8}\] done clear
B) \[\frac{\pi }{6}\] done clear
C) \[\frac{\pi }{4}\] done clear
D) \[\frac{\pi }{3}\] done clear
View Answer play_arrowA) 7 done clear
B) 8 done clear
C) 9 done clear
D) 11 done clear
View Answer play_arrowA) \[-3\] done clear
B) 3 done clear
C) 0 done clear
D) 2 done clear
View Answer play_arrowA) 4, 1, 3, 2 done clear
B) 4, 3, 2, 2 done clear
C) 4, 1, 2, 2 done clear
D) 3, 1, 3, 2 done clear
View Answer play_arrowA) \[\sqrt{\frac{hc}{G}}\] done clear
B) \[\sqrt{\frac{hG}{{{c}^{2}}}}\] done clear
C) \[\sqrt{\frac{hG}{{{c}^{5}}}}\] done clear
D) \[\sqrt{\frac{hc}{G}}\] done clear
View Answer play_arrowA) \[20m{{s}^{-1}}\] done clear
B) \[10m{{s}^{-1}}\] done clear
C) \[5m{{s}^{-1}}\] done clear
D) \[2m{{s}^{-1}}\] done clear
View Answer play_arrowA) \[40\sqrt{2}\frac{kg{{m}^{2}}}{\sec }\] done clear
B) \[400\sqrt{2}\frac{kg{{m}^{2}}}{\sec }\] done clear
C) \[800\frac{kg{{m}^{2}}}{\sec }\] done clear
D) None done clear
View Answer play_arrowA) friction will be 960 J done clear
B) friction will be - 960 J done clear
C) man will be 960 J done clear
D) man will be-960 J done clear
View Answer play_arrowA) \[\frac{5GM}{4{{r}^{2}}}\] done clear
B) \[\frac{4GM}{3{{r}^{2}}}\] done clear
C) \[\frac{3GM}{2{{r}^{2}}}\] done clear
D) \[\frac{2GM}{{{r}^{2}}}\] done clear
View Answer play_arrowA) \[\frac{1}{3}\sec \] done clear
B) \[\frac{1}{4}\sec \] done clear
C) \[\frac{1}{2}\sec \] done clear
D) \[\frac{1}{6}\sec \] done clear
View Answer play_arrowA) 0.34 done clear
B) 0.255 done clear
C) 0.085 done clear
D) All of these done clear
View Answer play_arrowA) \[\frac{\lambda }{2\pi {{\varepsilon }_{0}}R}\] done clear
B) \[\frac{\lambda }{\pi {{\varepsilon }_{0}}R}\] done clear
C) \[\frac{\sqrt{2}\lambda }{2\pi {{\varepsilon }_{0}}R}\] done clear
D) none of these done clear
View Answer play_arrowA) \[\frac{\lambda {{q}_{0}}}{4\pi {{\varepsilon }_{0}}}In\,2\] done clear
B) \[-\frac{2\lambda {{q}_{0}}}{\pi {{\varepsilon }_{0}}}In\,2\] done clear
C) \[\frac{2\lambda {{q}_{0}}}{\pi {{\varepsilon }_{0}}}In\,2\] done clear
D) \[\frac{\lambda {{q}_{0}}}{\pi {{\varepsilon }_{0}}}In\,2\] done clear
View Answer play_arrowA) \[{{W}_{1}}>{{W}_{2}}={{W}_{3}}\] done clear
B) \[{{W}_{2}}<{{W}_{1}}<{{W}_{3}}\] done clear
C) \[{{W}_{1}}<{{W}_{2}}={{W}_{3}}\] done clear
D) \[{{W}_{1}}<{{W}_{2}}<{{W}_{3}}\] done clear
View Answer play_arrowA) \[18,\frac{8}{9},4\] done clear
B) \[18,4\frac{8}{9}\] done clear
C) \[4,\frac{8}{9},18\] done clear
D) \[\frac{8}{9},18,4\] done clear
View Answer play_arrowA) 7/3 done clear
B) 5/4 done clear
C) 7/4 done clear
D) 7/5 done clear
View Answer play_arrowA) P only done clear
B) P and Q only done clear
C) Q and R only done clear
D) P and R only done clear
View Answer play_arrowA) 0.25 done clear
B) 0.31 done clear
C) 0.43 done clear
D) 0.12 done clear
View Answer play_arrowA) \[2.4\pi \times {{10}^{-5}}H\] done clear
B) \[4.8\pi \times {{10}^{-4}}H\] done clear
C) \[4.8\pi \times {{10}^{-5}}H\] done clear
D) \[2.4\pi \times {{10}^{-4}}H\] done clear
View Answer play_arrowA) 40 cm done clear
B) 60 cm done clear
C) 25 cm done clear
D) 15 cm done clear
View Answer play_arrowA) \[{{I}_{0}}\] done clear
B) \[2{{I}_{0}}\] done clear
C) \[{{I}_{0}}/2\] done clear
D) zero done clear
View Answer play_arrowA) \[{{10}^{4}}\] done clear
B) \[2\times {{10}^{4}}\] done clear
C) \[5\times {{10}^{4}}\] done clear
D) \[5\times {{10}^{3}}\] done clear
View Answer play_arrowA) OR gate done clear
B) AND gate done clear
C) NAND gate done clear
D) NOR gate done clear
View Answer play_arrowA) the intensity decreases. done clear
B) the minimum wavelength increases done clear
C) the intensity remains unchanged done clear
D) the minimum wavelength decreases done clear
View Answer play_arrowA) \[\lambda '=\lambda /2\] done clear
B) \[\lambda '=2\lambda \] done clear
C) \[\lambda '>\lambda \] done clear
D) \[\frac{\lambda }{2}<\lambda '<\lambda \] done clear
View Answer play_arrowA) 372K done clear
B) 272K done clear
C) 172K done clear
D) 62K done clear
View Answer play_arrowA) \[25K\] done clear
B) \[{{25}^{o}}C\] done clear
C) \[250K\] done clear
D) \[{{25}^{o}}C\] done clear
View Answer play_arrowA) 30 erg done clear
B) 11.35 erg done clear
C) 2261 erg done clear
D) 96 erg done clear
View Answer play_arrowA) \[81:1\] done clear
B) \[1:81\] done clear
C) \[2:6\] done clear
D) \[9:12\] done clear
View Answer play_arrowA) \[\lambda =10cm\] done clear
B) amplitude =0.04 cm done clear
C) velocity v = 5 cm/s done clear
D) frequency = f =20 Hz done clear
View Answer play_arrowA) straight line done clear
B) circle done clear
C) ellipse done clear
D) figure of 8 done clear
View Answer play_arrowA) it will oscillate with 4T periodic time done clear
B) it will oscillate with 2T periodic time done clear
C) it will not oscillate but will perform periodic motion with same time period done clear
D) it will oscillate with 3T as periodic time. done clear
View Answer play_arrowA) \[1\text{ }se{{c}^{-1}}\] done clear
B) \[0.1\text{ }se{{c}^{-1}}\] done clear
C) \[0.01\text{ }se{{c}^{-1}}\] done clear
D) \[0.001\text{ }se{{c}^{-1}}\] done clear
View Answer play_arrowquestion_answer61) Which of the following complexes are low spin and diamagnetic?
(1) \[{{K}_{4}}[Os{{(CN)}_{6}}]\] |
(2) \[[Mo{{(CO)}_{6}}]\] |
(3) \[{{[Mn{{(CN)}_{6}}]}^{4-}}\] |
A) 1, 2 and 3 done clear
B) 1 and 2 only done clear
C) 1 and 3 only done clear
D) 2 and 3 done clear
View Answer play_arrowA) \[{{b}^{2}}\] done clear
B) \[\frac{{{b}^{2}}}{RT}\] done clear
C) \[{{b}^{2}}RT\] done clear
D) \[b-\frac{a}{RT}\] done clear
View Answer play_arrowquestion_answer63) Arrange the following in decreasing order of bond energy of \[X-X\] bond:-
(P) \[C{{H}_{3}}-C{{H}_{3}}\] |
(Q) \[N{{H}_{2}}-N{{H}_{2}}\], |
(R) \[HO-OH\] |
(S) \[F-F\] |
A) \[P>Q>R>S\] done clear
B) \[S>Q>R>P\] done clear
C) \[Q>R>S>P\] done clear
D) \[S>Q>P>R\] done clear
View Answer play_arrowquestion_answer64) The stability of lyophilic colloid is due to which of the following:
A) Charge on their particles done clear
B) Large size of their particles done clear
C) Small size of their particles done clear
D) Salvation by dispersion medium done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer66) The oxidation number of Co in the complex ion is :
A) \[+2\] done clear
B) \[+3\] done clear
C) \[+4\] done clear
D) \[+6\] done clear
View Answer play_arrowA) \[\sqrt{\lambda R}\] done clear
B) \[\sqrt{\lambda R-1}\] done clear
C) \[\sqrt{\frac{\lambda R}{\lambda R-1}}\] done clear
D) \[\sqrt{\lambda R(\lambda R-1)}\] done clear
View Answer play_arrowquestion_answer68) The correct order of thermal stability is
A) \[IF>BrF>ClF>ICI>IBr\] done clear
B) \[IF<BrF<ClF<ICI<IBr\] done clear
C) \[ICl>ClF>IBr>BrF>IF\] done clear
D) None of these done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer70) The following equilibrium are given,
\[{{N}_{2}}+3{{H}_{2}}2N{{H}_{3}}.....{{K}_{1}}\] |
\[{{N}_{2}}+{{O}_{2}}2NO.....{{K}_{2}}\] |
\[{{H}_{2}}+\frac{1}{2}{{O}_{2}}\frac{5}{2}{{O}_{2}}.......{{K}_{3}}\] |
A) \[\frac{{{K}_{1}}{{K}_{2}}}{{{K}_{3}}}\] done clear
B) \[\frac{{{K}_{1}}K_{3}^{2}}{{{K}_{2}}}\] done clear
C) \[\frac{{{K}_{2}}K_{3}^{3}}{{{K}_{1}}}\] done clear
D) \[{{K}_{1}}{{K}_{2}}{{K}_{3}}\] done clear
View Answer play_arrowA) \[s{{p}^{2}},s{{p}^{2}}\] done clear
B) \[s{{p}^{3}},s{{p}^{2}}\] done clear
C) \[s{{p}^{3}},s{{p}^{3}}\] done clear
D) \[s{{p}^{2}},s{{p}^{3}}\] done clear
View Answer play_arrowquestion_answer72) Minimum first ionisation energy is shown by which electronic configuration:
A) \[1{{s}^{2}},2{{s}^{2}},2{{p}^{5}}\] done clear
B) \[1{{s}^{2}},\text{ }2{{s}^{2}},\text{ }2{{p}^{6}},\text{ }3{{s}^{2}},\text{ }3{{p}^{2}}\] done clear
C) \[1{{s}^{2}},2{{s}^{2}},2{{p}^{6}},3{{s}^{1}}\] done clear
D) \[1{{s}^{2}},2{{s}^{2}},2{{p}^{6}}\] done clear
View Answer play_arrowA) 27 g done clear
B) 18 g done clear
C) 54 g done clear
D) 40.5 g done clear
View Answer play_arrowA) \[-0.591V\] done clear
B) \[-0.42V\] done clear
C) \[+\text{ }0.59V\] done clear
D) \[+\text{ }0.42V\] done clear
View Answer play_arrowquestion_answer75) Which is not correctly matched?
A)
Factors | Remarks |
\[\Delta H<0,\,\,\Delta S>0\] | Process always spontaneous irrespective of temperature |
B)
Factors | Remarks |
\[\Delta H<0,\,\,\Delta S<0\] | Process non-spontaneous at high temperature |
C)
Factors | Remarks |
\[\Delta H>0,\,\,\Delta S>0\] | Process spontaneous at low temperature |
D)
Factors | Remarks |
\[\Delta H>0,\,\,\Delta S<0\] | Always non- spontaneous irrespective of Temperature |
question_answer76) The function of pine oil in froth floatation process is as
A) Foaming agent done clear
B) Froth stabilising agent done clear
C) Foam collecting agent done clear
D) All of these done clear
View Answer play_arrowquestion_answer77) The complex which is not coloured due to charge transfer from metal to metal
A) \[KFe[Fe{{(CN)}_{6}}]\] done clear
B) \[F{{e}_{3}}{{[Fe{{(CN)}_{6}}]}_{4}}\] done clear
C) \[KMn{{O}_{4}}\] done clear
D) \[{{K}_{2}}Fe[Fe{{(CN)}_{6}}]\] done clear
View Answer play_arrowA) Turns \[Pb{{(OAc)}_{2}}\] paper black done clear
B) Bums with blue flame done clear
C) Smells like vinegar done clear
D) Turns acidified \[{{K}_{2}}C{{r}_{2}}{{O}_{7}}\] paper green done clear
View Answer play_arrowA) \[479\text{ }kJ\text{ }mo{{l}^{-1}}\] done clear
B) \[100\text{ }kJ\text{ }mo{{l}^{-1}}\] done clear
C) \[50\,kJ\,\,mo{{l}^{-1}}\] done clear
D) \[25\text{ }kJ\text{ }mo\] done clear
View Answer play_arrowA) \[HCl\] (excess) done clear
B) \[C{{l}_{2}}/hv\] done clear
C) \[C{{l}_{2}}/CC{{l}_{4}}\], done clear
D) \[C{{l}_{2}}/NaOH\] done clear
View Answer play_arrowquestion_answer81) \[{{K}_{a}}\] value of phenol is more than that of ethanol because.
A) Phenoxide ion is stronger base then ethoxide done clear
B) Phenoxide is more stable than ethoxide due to resonance. done clear
C) Phenoxide ion is less stable than ethoxide ion done clear
D) Phenoxide ion is bulkier than ethoxide ion done clear
View Answer play_arrowquestion_answer82) In which of the following rate of \[{{S}_{N}}^{1}\] is very fast?
A) done clear
B) done clear
C) \[C{{H}_{3}}C{{H}_{2}}-O-C{{H}_{2}}-Cl\] done clear
D) \[C{{H}_{3}}-CH=CH-Cl\] done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) \[C{{H}_{3}}{{(C{{H}_{2}})}_{5}}CH=NOH\] done clear
View Answer play_arrowquestion_answer84) Which two of the following aldohexoses give the same osazone derivative?
A) 1 & 4 done clear
B) 1 & 3 done clear
C) 2 & 3 done clear
D) 3 & 4 done clear
View Answer play_arrowquestion_answer85) Which of the correct matched for the following reactions
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) I done clear
B) II done clear
C) III done clear
D) IV done clear
View Answer play_arrowA) done clear
B) done clear
C) Both [a] and [b] done clear
D) None of these done clear
View Answer play_arrowquestion_answer88) Which of the following is not aromatic?
A) Benzene done clear
B) Cyclopropenyl cation done clear
C) Tropylium cation done clear
D) Cyclopentadienyl cation done clear
View Answer play_arrowquestion_answer89) Observe the following reaction sequence X can be
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[{{E}_{2}}\] mechanism done clear
B) \[{{E}_{1}}\] mechanism done clear
C) rearrangement of carbonations by \[{{E}_{1}}\] mechanism done clear
D) \[{{E}_{1}}Cb\] mechanism done clear
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