A) \[\frac{1}{2}\] done clear
B) \[\frac{1}{\sqrt{2}}\] done clear
C) \[\frac{\sqrt{3}}{2}\] done clear
D) \[\frac{2}{3}\] done clear
View Answer play_arrowA) \[4\sqrt{2}\] done clear
B) \[2\sqrt{2}\] done clear
C) 8 done clear
D) \[8\sqrt{2}\] done clear
View Answer play_arrowquestion_answer3) Let \[f(x)=5sgn \,({{e}^{x}})-4{{(x-2)}^{3}}.\]Then
A) \[f(x)\] is increasing in \[(2,\infty )\] done clear
B) \[f(x)\] is decreasing in \[(\infty ,-2)\] done clear
C) \[f(x)\] has minima at \[x=2\] done clear
D) \[f(x)\] has maxima at \[x=2\] done clear
View Answer play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) 5 done clear
View Answer play_arrowA) \[\frac{\pi }{4}\] done clear
B) \[\frac{\pi }{8}\] done clear
C) \[\frac{\pi }{2}\] done clear
D) \[\frac{3\pi }{4}\] done clear
View Answer play_arrowA) \[^{2n}{{C}_{\frac{n}{2}}}\] done clear
B) \[^{2n}{{C}_{\frac{n+1}{2}}}\] done clear
C) \[^{2n}{{C}_{\frac{n-1}{2}}}\] done clear
D) \[^{2n}{{C}_{n}}\] done clear
View Answer play_arrowA) 100 done clear
B) - 100 done clear
C) 50 done clear
D) - 50 done clear
View Answer play_arrowA) 120 done clear
B) 450 done clear
C) 570 done clear
D) 620 done clear
View Answer play_arrowA) \[\frac{\pi }{4}\] done clear
B) \[\frac{\pi }{8}\] done clear
C) \[\frac{\pi }{2}\] done clear
D) \[\frac{3\pi }{4}\] done clear
View Answer play_arrowA) \[\frac{1}{4}\] done clear
B) \[\frac{1}{2}\] done clear
C) 2 done clear
D) 4 done clear
View Answer play_arrowquestion_answer11) The negation of statement \[p\wedge (\tilde{\ }p\wedge q)\]is
A) \[(p\wedge q)\wedge \tilde{\ }p\] done clear
B) \[(p\wedge \tilde{\ }q)\wedge \tilde{\ }p\] done clear
C) \[(p\wedge \tilde{\ }q)\wedge \tilde{\ }q\] done clear
D) \[(p\wedge \tilde{\ }q)\wedge \tilde{\ }p\] done clear
View Answer play_arrowA) \[4x-8y=11\] done clear
B) \[4x+8y=21\] done clear
C) \[8x+4y=21\] done clear
D) \[4x-8y=21\] done clear
View Answer play_arrowA) 2f'(1) done clear
B) 8f'(1) done clear
C) 10f'(1) done clear
D) 20f'(1) done clear
View Answer play_arrowA) 100 done clear
B) 200 done clear
C) 500 done clear
D) 1000 done clear
View Answer play_arrowA) \[\frac{3}{2}\] done clear
B) \[\frac{-3}{2}\] done clear
C) \[\frac{1}{2}\] done clear
D) \[\frac{-1}{2}\] done clear
View Answer play_arrowA) \[\frac{1}{3}\] done clear
B) \[\frac{1}{2}\] done clear
C) \[\frac{3}{5}\] done clear
D) \[\frac{5}{3}\] done clear
View Answer play_arrowA) 4 done clear
B) 2 done clear
C) \[\frac{1}{2}\] done clear
D) \[\frac{1}{4}\] done clear
View Answer play_arrowA) \[\frac{\pi }{2}\] done clear
B) \[\frac{-\pi }{2}\] done clear
C) 0 done clear
D) \[\pi \] done clear
View Answer play_arrowA) 100 done clear
B) 101 done clear
C) 200 done clear
D) 201 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) \[\left( 0,\frac{\pi }{2} \right)\] done clear
B) \[\left( \frac{\pi }{2},\pi \right)\] done clear
C) \[\left( \pi ,\frac{3\pi }{2} \right)\] done clear
D) none of above done clear
View Answer play_arrowA) 5 done clear
B) 7 done clear
C) 21 done clear
D) 35 done clear
View Answer play_arrowA) \[e-2\] done clear
B) \[e-1\] done clear
C) e done clear
D) 2e done clear
View Answer play_arrowA) \[\frac{9}{8}\] done clear
B) \[\frac{81}{64}\] done clear
C) \[\frac{9}{64}\] done clear
D) 9 done clear
View Answer play_arrowA) 0 done clear
B) \[\frac{1}{2}\] done clear
C) 1 done clear
D) 2 done clear
View Answer play_arrowA) 4 done clear
B) 5 done clear
C) 9 done clear
D) 13 done clear
View Answer play_arrowA) 1 done clear
B) \[\sqrt{2}\] done clear
C) 2 done clear
D) 4 done clear
View Answer play_arrowA) 4 done clear
B) 3 done clear
C) 2 done clear
D) 1 done clear
View Answer play_arrowA) circle with centre \[\left( \frac{1}{2},\frac{1}{2} \right)\] and radius \[\frac{1}{\sqrt{2}}\] done clear
B) circle with centre \[\left( \frac{-1}{2},\frac{-1}{2} \right)\] and radius \[\frac{1}{\sqrt{2}}\] done clear
C) circle with centre (2, 2) and radius \[\frac{1}{2}\] done clear
D) circle with centre \[\left( \frac{-1}{2},\frac{-1}{2} \right)\] radius \[\frac{1}{2}\] done clear
View Answer play_arrowStatement-1: The Variance of first n even natural numbers is \[\frac{{{n}^{2}}-1}{4}.\] |
Statement-2: The sum of first n natural numbers is \[\frac{n(n+1)}{2}\] and the sum of squares of first n natural numbers is \[\frac{n(n+1)(2n+1)}{6}.\] |
A) Statement-1 is true, statement-2 is true, statement-2 is correct explanation for statement-1. done clear
B) Statement-1 is true, Statement-2 is true, Statement-2 is NOT a correct explanation for 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) 1 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
View Answer play_arrowA) \[20\sqrt{3}\] done clear
B) \[\frac{20}{\sqrt{3}}\] done clear
C) 20 done clear
D) \[20\sqrt{2}\] done clear
View Answer play_arrowA) \[\frac{{{x}_{1}}+{{x}_{2}}}{{{x}_{1}}}\] done clear
B) \[\frac{{{x}_{1}}+{{x}_{2}}}{{{x}_{2}}}\] done clear
C) \[\frac{{{x}_{1}}}{{{x}_{1}}+{{x}_{2}}}\] done clear
D) \[\frac{{{x}_{1}}}{{{x}_{1}}+{{x}_{2}}}\] done clear
View Answer play_arrowA) \[{{\left[ \frac{K{{R}^{2}}}{2m}{{(2-\sqrt{3})}^{2}}+gR\sqrt{3} \right]}^{1/2}}\] done clear
B) \[{{\left[ \frac{K{{R}^{2}}}{m}{{(2-\sqrt{3})}^{2}}+gR\sqrt{3} \right]}^{1/2}}\] done clear
C) \[{{\left[ \frac{K{{R}^{2}}}{m}{{(\sqrt{2}-1)}^{2}}+gR\sqrt{3} \right]}^{1/2}}\] done clear
D) \[{{\left[ \frac{K{{R}^{2}}}{2m}{{(\sqrt{2}-1)}^{2}}+gR \right]}^{1/2}}\] done clear
View Answer play_arrowA) \[3V\cos \theta \] done clear
B) \[2V\cos \theta \] done clear
C) \[\frac{3}{2}V\cos \theta \] done clear
D) \[\sqrt{\frac{3}{2}}V\cos \theta \] done clear
View Answer play_arrowA) mg/2 done clear
B) mg/4 done clear
C) \[mg(1-\mu )\] done clear
D) \[mg(1+\mu )\] done clear
View Answer play_arrowA) \[\frac{\rho L{{ }^{3}}}{8\pi }\] done clear
B) \[\frac{\rho L{{ }^{3}}}{16\pi }\] done clear
C) \[\frac{5\rho L{{ }^{3}}}{16{{\pi }^{2}}}\] done clear
D) \[\frac{3\rho L{{ }^{3}}}{8{{\pi }^{2}}}\] done clear
View Answer play_arrowA) \[\frac{1}{2\sqrt{10}}\] done clear
B) \[\frac{1}{\sqrt{10}}\] done clear
C) \[\sqrt{10}\] done clear
D) \[2\sqrt{10}\] done clear
View Answer play_arrowA) \[\frac{Gm({{m}_{1}}-{{m}_{2}})(\sqrt{2}-1)}{R\sqrt{2}}\] done clear
B) \[\frac{Gm({{m}_{1}}-{{m}_{2}})}{R\sqrt{2}}\] done clear
C) \[\frac{Gm({{m}_{2}}-{{m}_{1}})}{R\sqrt{2}}\] done clear
D) \[\frac{Gm({{m}_{2}}-{{m}_{1}})}{R\sqrt{2}}\] done clear
View Answer play_arrowA) \[\frac{(F-\Delta \,F)}{2}\] done clear
B) \[\frac{(2F-\Delta \,F)}{2}\] done clear
C) \[\frac{(2F-\Delta \,F)}{4}\] done clear
D) \[F-\Delta \,F\] done clear
View Answer play_arrowA) \[{{E}_{X}}>{{E}_{y}}\]and \[{{a}_{X}}<{{a}_{y}}\] done clear
B) \[{{E}_{X}}<{{E}_{y}}\]and \[{{a}_{X}}>{{a}_{y}}\] done clear
C) \[{{E}_{X}}>{{E}_{y}}\]and \[{{a}_{X}}<{{a}_{y}}\] done clear
D) \[{{E}_{X}}<{{E}_{y}}\]and \[{{a}_{X}}<{{a}_{y}}\] done clear
View Answer play_arrowA) 1.50 done clear
B) 1.40 done clear
C) 1.53 done clear
D) 3.07 done clear
View Answer play_arrowA) \[{{L}_{0}}=\frac{L}{2},{{L}_{C}}=2L\] done clear
B) \[{{L}_{0}}=\frac{L}{4},{{L}_{C}}=2L\] done clear
C) \[{{L}_{0}}=\frac{L}{2},{{L}_{C}}=4L\] done clear
D) \[{{L}_{0}}=\frac{L}{4},{{L}_{C}}=4L\] done clear
View Answer play_arrowA) 4 done clear
B) 6 done clear
C) 7.5 done clear
D) 9 done clear
View Answer play_arrowA) \[2I\] done clear
B) \[4I\] done clear
C) \[5I\] done clear
D) \[7I\] done clear
View Answer play_arrowA) the electric field at point O is \[\frac{q}{8\pi {{\varepsilon }_{0}}{{R}^{2}}}\] directed along the O to A. done clear
B) the magnitude of the force between the charges at C and B is \[\frac{{{q}^{2}}}{64\pi {{\varepsilon }_{0}}{{R}^{2}}}\] done clear
C) the potential at O is zero. done clear
D) the potential at point O is \[\frac{q}{12\pi {{\varepsilon }_{0}}R}\] done clear
View Answer play_arrowquestion_answer47) Find the potential difference across \[{{C}_{2}}\]:
A) 6V done clear
B) 4V done clear
C) zero done clear
D) 2V done clear
View Answer play_arrowA) \[\frac{{{\mu }_{0}}Iqv}{2\pi d}\] done clear
B) \[\frac{{{\mu }_{0}}Iqv}{\pi d}\] done clear
C) \[\frac{2{{\mu }_{0}}Iqv}{\pi d}\] done clear
D) zero done clear
View Answer play_arrowA) 5V done clear
B) 10V done clear
C) 15V done clear
D) 20V done clear
View Answer play_arrowA) \[R=1K\Omega ,C=10\mu F\] done clear
B) \[R=1K\Omega ,C=1\mu F\] done clear
C) \[8.5\times {{10}^{4}}\] done clear
D) \[R=1K\Omega ,L=1H\] done clear
View Answer play_arrowA) 4.4 MeV done clear
B) 5.4 MeV done clear
C) 5.6 MeV done clear
D) 6.5 MeV done clear
View Answer play_arrowA) \[{{\lambda }_{0}}=\frac{2mc{{\lambda }^{2}}}{h}\] done clear
B) \[{{\lambda }_{0}}=\frac{2h}{m}\] done clear
C) \[{{\lambda }_{0}}=\frac{2{{m}^{2}}-{{c}^{2}}{{\lambda }^{3}}}{{{h}^{2}}}\] done clear
D) \[{{\lambda }_{0}}=\lambda \] done clear
View Answer play_arrowA) 540 nm done clear
B) 400nm done clear
C) 310nm done clear
D) 220nm done clear
View Answer play_arrowA) 54.4 eV done clear
B) 24.6 eV done clear
C) 32.2 eV done clear
D) 42.2 eV done clear
View Answer play_arrowA) 0.9 done clear
B) 0.7 done clear
C) 0.5 done clear
D) 1.1 done clear
View Answer play_arrowA) \[3.5\times {{10}^{4}}\] done clear
B) \[2.5\times {{10}^{4}}\] done clear
C) \[6.5\times {{10}^{4}}\] done clear
D) \[8.5\times {{10}^{4}}\] done clear
View Answer play_arrowquestion_answer57) Identify the logic operations performed by the circuit shown
A) OR done clear
B) AND done clear
C) NOT done clear
D) NOR done clear
View Answer play_arrowA) 1/4 done clear
B) 1/2 done clear
C) 2/3 done clear
D) 2/5 done clear
View Answer play_arrowA) A/2 done clear
B) A/16 done clear
C) A/8 done clear
D) A/6 done clear
View Answer play_arrowA) New time period is 4T motion remains SHM done clear
B) New time period is T/2 motion remains SHM done clear
C) New time period is nearly T but motion is not SHM. done clear
D) New time period is 2T motion is SHM done clear
View Answer play_arrowA) \[\sigma 2{{p}_{x}}\] done clear
B) \[\sigma *2{{p}_{x}}\] done clear
C) \[\pi 2{{p}_{y}}\] done clear
D) \[\pi *2{{p}_{y}}\] done clear
View Answer play_arrowA) - 36 kJ done clear
B) - 13 kJ done clear
C) - 47kJ done clear
D) - 24kJ done clear
View Answer play_arrowquestion_answer63) Which one of the following is the correct statement?
A) Boric acid is a protonic acid. done clear
B) Both \[T{{i}^{3+}}\] and \[A{{l}^{3+}}\] ions act as oxidsing agent in aqueous solution. done clear
C) Hydrogen bonding in \[{{H}_{3}}B{{O}_{3}}\]gives it a layered structure. done clear
D) Aqueous solution of borax is acidic done clear
View Answer play_arrowA) \[Mg{{(HC{{O}_{3}})}_{2}},\] temporary hardness, washing soda method done clear
B) \[CaC{{O}_{3}},\] temporary hardness, boiling method done clear
C) \[MgS{{O}_{4}},\] permanent hardness, calgon's method done clear
D) \[CaC{{I}_{2}},\] permanent hardness, Clark's method done clear
View Answer play_arrowquestion_answer65) \[S{{O}_{2}}\] acts as an oxidant when it reacts with :
A) Acidified \[KMn{{O}_{4}}\] done clear
B) Acidified \[{{K}_{2}}C{{r}_{2}}{{O}_{7}}\] done clear
C) \[{{H}_{2}}S\] done clear
D) Acidified \[{{C}_{2}}{{H}_{5}}OH\] done clear
View Answer play_arrowquestion_answer66) Wax is an example of -
A) Ionic crystal done clear
B) Covalent crystal done clear
C) Molecular crystal done clear
D) Metallic crystal done clear
View Answer play_arrowA) 0.00380 done clear
B) 0.000469 done clear
C) 0.0095 done clear
D) 0.0183 done clear
View Answer play_arrowA) \[{{K}^{+}}\] done clear
B) \[B{{a}^{+}}\] done clear
C) \[NO_{2}^{-}\] done clear
D) \[SO_{4}^{2-}\] done clear
View Answer play_arrowA) to pass into the solution done clear
B) to be deposited from the solution done clear
C) to become electrically positive done clear
D) to remain neutral done clear
View Answer play_arrowA) \[1.934\overset{\text{o}}{\mathop{A}}\,\] done clear
B) \[0.461\overset{\text{o}}{\mathop{A}}\,\] done clear
C) \[2.108\overset{\text{o}}{\mathop{A}}\,\] done clear
D) \[4.988\overset{\text{o}}{\mathop{A}}\,\] done clear
View Answer play_arrowA) \[Mn>Cr>Fe>Co\] done clear
B) \[Cr>Fe>Mn>Co\] done clear
C) \[Fe>Mn>Cr>Co\] done clear
D) \[Cr>Mn>Fe>Co\] done clear
View Answer play_arrowquestion_answer72) Which of the following metals is obtained by the self reduction process?
A) Copper done clear
B) Iron done clear
C) Silver done clear
D) Magnesium done clear
View Answer play_arrowquestion_answer73) Nitrogen gas is obtained by the thermal decomposition of :
A) \[N{{H}_{4}}CI\] done clear
B) \[N{{H}_{4}}N{{O}_{3}}\] done clear
C) \[AgN{{O}_{3}}\] done clear
D) none of these done clear
View Answer play_arrowA) \[{{K}_{2}}S{{O}_{3}}\] done clear
B) \[N{{a}_{2}}C{{O}_{3}}\] done clear
C) \[N{{H}_{4}}N{{O}_{2}}\] done clear
D) \[N{{H}_{4}}CI\] done clear
View Answer play_arrowquestion_answer75) For and \[{{H}_{3}}P{{O}_{3}}\] the correct choice is :
A) \[{{H}_{3}}P{{O}_{3}}\] is dibasic and reducing done clear
B) \[{{H}_{3}}P{{O}_{3}}\]is dibasic and non-reducing done clear
C) \[{{H}_{3}}P{{O}_{3}}\] is tribasic and reducing done clear
D) \[{{H}_{3}}P{{O}_{3}}\] is tribasic and non-reducing done clear
View Answer play_arrowA) 57.1kJ \[equi{{v}^{-1}}\] done clear
B) less than 57.1 \[equi{{v}^{-1}}\] done clear
C) more than 57.1 \[equi{{v}^{-1}}\] done clear
D) 13.7 kJ \[equi{{v}^{-1}}\] done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) Aufbau principle done clear
B) Hund's maximum multiplicity rule done clear
C) Pauli's exclusion principle done clear
D) Hund's maximum multiplicity rule and Pauli's exclusion principle done clear
View Answer play_arrowquestion_answer79) What is false about \[{{H}_{2}}{{O}_{2}}\] ?
A) acts as both oxidising and reducing agent done clear
B) two OH bonds lie in the same plane. done clear
C) pale blue liquid. done clear
D) can be oxidised by \[{{O}_{3}}\] done clear
View Answer play_arrowquestion_answer80) According to Werner's theory, on which complex, primary valency is two?
A) \[[Co{{(N{{H}_{3}})}_{6}}]C{{l}_{3}}\] done clear
B) \[[Co{{(N{{H}_{3}})}_{5}}Cl]C{{l}_{2}}\] done clear
C) \[[Co{{(N{{H}_{3}})}_{4}}C{{l}_{2}}]Cl\] done clear
D) All of these done clear
View Answer play_arrowquestion_answer81) The most reactive compound towards sulphonation is
A) \[{{C}_{6}}{{H}_{6}}\] done clear
B) \[{{C}_{6}}{{D}_{6}}\] done clear
C) \[{{C}_{6}}{{T}_{6}}\] done clear
D) All are equally reactive done clear
View Answer play_arrowA) \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,=C{{H}_{2}}\] done clear
B) \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ D \end{smallmatrix}}{\mathop{\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}\,}}\,-C{{H}_{3}}\] done clear
C) \[C{{H}_{3}}-\underset{{}}{\mathop{\overset{\begin{smallmatrix} C{{H}_{3}} \\ | \end{smallmatrix}}{\mathop{C}}\,}}\,-CHD\] done clear
D) \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,=C{{D}_{2}}\] done clear
View Answer play_arrowquestion_answer83) Which one of the following is C-2 epimers?
A) Glucose and galactose done clear
B) Glucose and mannose done clear
C) Glucose and arabinose done clear
D) Glucose and Rhamnose done clear
View Answer play_arrowquestion_answer84) Savlon is used as
A) Antiseptic done clear
B) Antipyretic done clear
C) Antibiotic done clear
D) Mordant done clear
View Answer play_arrowquestion_answer85) Which monomer will give cross linked polymer?
A) done clear
B) \[N{{H}_{2}}-C{{H}_{\,}}_{2}-COOH\] done clear
C) done clear
D) \[C{{H}_{2}}OH-C{{H}_{2}}OH\] done clear
View Answer play_arrowquestion_answer86) In the given reaction Major product B is
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer87) Which of the following is the most unlikely intermediate?
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) only i & ii done clear
B) only iii & iv done clear
C) only I & iv done clear
D) i, ii, iii & iv done clear
View Answer play_arrowA) iii > i > ii > iv done clear
B) iv > ii > i > iii done clear
C) ii > i > iii > iv done clear
D) iii > ii > i > iv done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
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