A) \[\frac{1}{2}\] done clear
B) \[\frac{1}{e}\] done clear
C) \[e\] done clear
D) 1 done clear
View Answer play_arrowA) \[\left| b \right|\ge 1\] done clear
B) \[\left| b \right|<1\] done clear
C) \[b>1\] done clear
D) \[b<1\] done clear
View Answer play_arrowA) \[\ell n\left( \sin \frac{x}{2} \right)+C\] done clear
B) \[2\ell n\left( \cos \frac{x}{2} \right)+C\] done clear
C) \[\ell n(1-\sin x)+C\] done clear
D) \[\ell n(1-\cos x)+C\] done clear
View Answer play_arrowA) 480 done clear
B) 540 done clear
C) 630 done clear
D) 720 done clear
View Answer play_arrowA) \[-4\] done clear
B) 0 done clear
C) \[-2\] done clear
D) 4 done clear
View Answer play_arrowA) \[\pi -1\] done clear
B) \[\frac{\pi }{2}\] done clear
C) \[\frac{\pi -2}{2}\] done clear
D) \[\frac{\pi }{4}\] done clear
View Answer play_arrowA) \[4\pi \] done clear
B) \[5\pi \] done clear
C) \[7\pi \] done clear
D) \[8\pi \] done clear
View Answer play_arrowA) \[1,2\] done clear
B) \[1,-2\] done clear
C) \[-1,1\] done clear
D) \[-1,-2\] done clear
View Answer play_arrowA) 12 done clear
B) 8 done clear
C) 24 done clear
D) 32 done clear
View Answer play_arrowA) 6 done clear
B) 36 done clear
C) 72 done clear
D) 12 done clear
View Answer play_arrowA) \[\frac{967}{1024}\] done clear
B) \[\frac{957}{1024}\] done clear
C) \[\frac{964}{1024}\] done clear
D) \[\frac{977}{1024}\] done clear
View Answer play_arrowA) 6 done clear
B) \[\sqrt{2}+\sqrt{3}\] done clear
C) \[\sqrt{6}\] done clear
D) \[\sqrt{5}\] done clear
View Answer play_arrowA) \[y=\frac{3}{\sqrt{7}}x+\frac{15}{\sqrt{7}}\] done clear
B) \[y=3\sqrt{\frac{2}{7}}x+\frac{15}{\sqrt{7}}\] done clear
C) \[y=2\sqrt{\frac{3}{7}}x+15\sqrt{7}\] done clear
D) \[y=\frac{3}{\sqrt{7}}x-\frac{15}{\sqrt{7}}\] done clear
View Answer play_arrowquestion_answer14) If \[xdy=y(dx+ydy),y(1)=1\] and \[y(x)>0\], then \[y(-3)\] is equal to
A) 1 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
View Answer play_arrowA) \[\frac{3}{4}\] done clear
B) \[\frac{3}{5}\] done clear
C) \[\frac{5}{6}\] done clear
D) \[\frac{2}{3}\] done clear
View Answer play_arrowA) 8 done clear
B) 9 done clear
C) 10 done clear
D) 12 done clear
View Answer play_arrowA) \[\frac{7}{15}\] done clear
B) \[\frac{8}{15}\] done clear
C) \[\frac{11}{15}\] done clear
D) \[\frac{13}{15}\] done clear
View Answer play_arrowA) If det. \[(A)=\pm 1\], then \[{{A}^{-1}}\] need not exist. done clear
B) If det. \[(A)=\pm 1\], then \[{{A}^{-1}}\] exist but all its entries are not necessarily integers. done clear
C) If det. \[(A)\ne \pm 1\], then \[{{A}^{-1}}\] exists and all its entries are non-integers. done clear
D) If det. \[(A)=\pm 1\], then \[{{A}^{-1}}\] exists and all its entries are integers. done clear
View Answer play_arrowA) 1 done clear
B) \[\frac{4}{3}\] done clear
C) \[\frac{2}{3}\] done clear
D) \[-2\] done clear
View Answer play_arrowA) \[3x-4x+7=0\] done clear
B) \[4x+3y=24\] done clear
C) \[3x+4y=25\] done clear
D) \[4x-3y=12\] done clear
View Answer play_arrowA) 10 done clear
B) \[\frac{70}{11}\] done clear
C) 7 done clear
D) 5 done clear
View Answer play_arrowA) \[48\,m\] done clear
B) \[36\,m\] done clear
C) \[54\,m\] done clear
D) \[72\,m\] done clear
View Answer play_arrowA) \[\frac{1}{3}\] done clear
B) \[\frac{2}{3}\] done clear
C) \[\frac{4}{9}\] done clear
D) \[\frac{8}{27}\] done clear
View Answer play_arrowA) 10 done clear
B) 12 done clear
C) 14 done clear
D) 16 done clear
View Answer play_arrowA) \[f\] has two maxima and one minima done clear
B) \[f\] has only one point of inflection done clear
C) \[f\] increases in the intervals \[(0,1)\cup (2,\infty )\] and decreases in \[(-\infty ,\,0)\cup (1,2)\] done clear
D) \[f\] decreases in the interval \[(0,1)\,\cup \,(2,\infty )\] and increases in the interval \[(-\infty ,0)\,\cup \,(1,2)\]. 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) \[0.64\] done clear
B) \[0.48\] done clear
C) \[0.16\] done clear
D) \[0.8\] done clear
View Answer play_arrowA) 10 done clear
B) 20 done clear
C) 30 done clear
D) 40 done clear
View Answer play_arrowA) \[f(x)\] is odd function. done clear
B) \[f(x)\] is injective. done clear
C) Range of \[f(x)\] contains only two integers. done clear
D) The value of \[f'\left( \frac{1}{2} \right)\] is equal to 6. done clear
View Answer play_arrowA) 7 is greater than 4 or Paris is not in France done clear
B) 7 is not greater than 4 and Paris is not in France done clear
C) 7 is greater than 4 and Paris is in France done clear
D) 7 is greater than 4 and Paris is not in France done clear
View Answer play_arrowA) \[[KVFT]\] done clear
B) \[[K{{V}^{2}}FT]\] done clear
C) \[[K{{V}^{-1}}FT]\] done clear
D) \[[K{{V}^{-1}}F{{T}^{2}}]\] done clear
View Answer play_arrowA) circle done clear
B) parabola done clear
C) straight line done clear
D) all the above done clear
View Answer play_arrowA) \[\frac{\sqrt{2}}{\sqrt{3}}\] done clear
B) \[\frac{1}{\sqrt{3}}\] done clear
C) \[\frac{2}{\sqrt{3}}\] done clear
D) \[\frac{\sqrt{3}}{2}\] done clear
View Answer play_arrowA) \[{{t}^{2}}\] done clear
B) \[{{t}^{{1}/{2}\;}}\] done clear
C) \[{{t}^{3}}\] done clear
D) \[{{t}^{{2}/{3}\;}}\] done clear
View Answer play_arrowA) \[{{\left( \frac{gh}{{{e}^{2}}} \right)}^{1/2}}\] done clear
B) \[{{\left( \frac{2gh}{e} \right)}^{1/2}}\] done clear
C) \[{{\left( \frac{gh}{e} \right)}^{1/2}}\] done clear
D) \[{{\left( \frac{gh}{2e} \right)}^{1/2}}\] done clear
View Answer play_arrowA) \[\frac{1}{\sqrt{3}}\] done clear
B) \[\frac{1}{2\sqrt{3}}\] done clear
C) \[\frac{1}{3\sqrt{3}}\] done clear
D) \[\frac{1}{3}\] done clear
View Answer play_arrowA) \[\sqrt{\frac{k}{b}}\] done clear
B) \[\sqrt{\frac{b}{k}}\] done clear
C) \[\sqrt{\frac{a}{k}}\] done clear
D) \[\sqrt{\frac{k}{a}}\] done clear
View Answer play_arrowA) circle done clear
B) hyperbola done clear
C) falls on the earth done clear
D) ellipse done clear
View Answer play_arrowA) \[\frac{YA{{x}^{2}}}{2L}\] done clear
B) \[\frac{YA{{x}^{2}}}{L}\] done clear
C) \[\frac{YAx}{2L}\] done clear
D) \[\frac{YAx}{4L}\] done clear
View Answer play_arrowA) \[\frac{{{k}_{1}}+{{k}_{2}}}{{{k}_{1}}}\] done clear
B) \[\frac{{{k}_{1}}+{{k}_{2}}}{{{k}_{2}}}\] done clear
C) \[\frac{{{k}_{2}}}{{{k}_{1}}+{{k}_{2}}}\] done clear
D) \[\frac{{{k}_{1}}}{{{k}_{2}}}\] done clear
View Answer play_arrowA) \[\frac{5}{2}{{P}_{0}}\] done clear
B) \[\frac{3}{2}{{P}_{0}}\] done clear
C) \[2{{P}_{0}}\] done clear
D) \[\frac{7}{2}{{P}_{0}}\] done clear
View Answer play_arrowA) \[22\,m/s\] done clear
B) \[33\,m/s\] done clear
C) \[11\,\,m/\sec \] done clear
D) zero done clear
View Answer play_arrowA) \[f/2\] done clear
B) \[3f/2\] done clear
C) \[2f\] done clear
D) \[f\] done clear
View Answer play_arrowA) straight done clear
B) circular done clear
C) equally speed done clear
D) None done clear
View Answer play_arrowA) \[{{E}_{0}}{{\varepsilon }_{0}}\frac{{{l}^{2}}}{2}\] done clear
B) \[{{E}_{0}}{{\varepsilon }_{0}}\pi {{r}^{2}}{{l}^{2}}\] done clear
C) \[{{E}_{0}}{{\varepsilon }_{0}}\pi {{r}^{2}}l\] done clear
D) \[2{{E}_{0}}{{\varepsilon }_{0}}\pi {{r}^{2}}l\] done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) \[\frac{CV{{R}_{2}}}{{{R}_{1}}+{{R}_{2}}}\] done clear
B) \[\frac{CV{{R}_{1}}}{{{R}_{1}}+{{R}_{2}}}\] done clear
C) \[\frac{CV{{R}_{1}}{{R}_{2}}}{({{R}_{1}}-{{R}_{2}})({{R}_{1}}+{{R}_{2}})}\] done clear
D) None done clear
View Answer play_arrowquestion_answer48) In the given figure, find magnetic induction at centre O
A) \[\frac{{{\mu }_{0}}I}{4\pi r}\left[ \pi +2+\sqrt{2} \right]\] done clear
B) \[\frac{{{\mu }_{0}}I}{4\pi r}\left[ \pi +\sqrt{2}+\frac{1}{\sqrt{2}} \right]\] done clear
C) \[\frac{{{\mu }_{0}}I}{4\pi r}\left[ \pi +\frac{1}{\sqrt{2}}+2 \right]\] done clear
D) \[\frac{{{\mu }_{0}}I}{4\pi r}\left[ \pi +2+2\sqrt{2} \right]\] done clear
View Answer play_arrowA) remains stationary done clear
B) is attracted by the loop A done clear
C) is repelled by the loop A done clear
D) Rotates about its CM, with CM fixed done clear
View Answer play_arrowquestion_answer50) Find the reading of voltmeter across the resistance and ammeter in the circuit.
A) \[500\,V,5A\] done clear
B) \[250\,V,5A\] done clear
C) \[250\,V,10A\] done clear
D) \[500\,V,2.5A\] done clear
View Answer play_arrowA) 3 hrs done clear
B) 2 hrs done clear
C) \[1.5\] hrs done clear
D) \[2.5\] hrs done clear
View Answer play_arrowA) \[2\times {{10}^{16}}\] done clear
B) \[5\times {{10}^{6}}\] done clear
C) \[1\times {{10}^{17}}\] done clear
D) \[4\times {{10}^{15}}\] done clear
View Answer play_arrowA) \[{{E}^{o}}\] done clear
B) \[{{E}^{1/2}}\] done clear
C) \[{{E}^{-1}}\] done clear
D) \[{{E}^{-2}}\] done clear
View Answer play_arrowA) 1 done clear
B) 2 done clear
C) 3 done clear
D) 4 done clear
View Answer play_arrowquestion_answer55) In a p-n junction diode not connected to any circuit
A) the potential is same everywhere done clear
B) The p-type side is at a higher potential than the n-type side done clear
C) there is an electric field at the junction directed from the n-side to the p-type side. done clear
D) there is an electric field at the junction directed from the p-type side to the n-type side. done clear
View Answer play_arrowA) A done clear
B) B done clear
C) C done clear
D) D done clear
View Answer play_arrowA) \[60\,k\Omega \] done clear
B) \[40\,k\Omega \] done clear
C) \[30\,k\Omega \] done clear
D) \[5\,k\Omega \] done clear
View Answer play_arrowquestion_answer58) Second law of thermodynamics is equivalent to :
A) hi general no engine has a efficiency of 100% done clear
B) Random motion cannot be completely ordered done clear
C) Heat cannot be fully converted into work done clear
D) All of the above done clear
View Answer play_arrowA) \[{{\omega }_{1}}={{\omega }_{0}}\] and \[{{\omega }_{2}}\ne {{\omega }_{0}}\] done clear
B) \[{{\omega }_{\,1}}={{\omega }_{\,0}}\] and \[{{\omega }_{\,2}}={{\omega }_{\,0}}\] done clear
C) \[{{\omega }_{\,1}}\ne {{\omega }_{\,0}}\] and \[{{\omega }_{\,2}}={{\omega }_{\,2}}\] done clear
D) \[{{\omega }_{\,1}}\ne {{\omega }_{\,0}}\] and \[{{\omega }_{\,2}}\ne {{\omega }_{\,0}}\] done clear
View Answer play_arrowA) \[2\times {{10}^{2}}Hz\] done clear
B) \[1.59\times {{10}^{3}}Hz\] done clear
C) \[1.59\times {{10}^{2}}Hz\] done clear
D) \[2.59\times {{10}^{3}}Hz\] done clear
View Answer play_arrowA) Benzene done clear
B) Benzylamine done clear
C) Aniline done clear
D) Benzamide done clear
View Answer play_arrowquestion_answer62) Which of the following has the minimum bond length?
A) \[{{O}_{2}}^{+}\] done clear
B) \[{{O}_{2}}^{-}\] done clear
C) \[{{O}_{2}}^{2-}\] done clear
D) \[{{O}_{2}}\] done clear
View Answer play_arrowA) \[9.08\] done clear
B) \[9.43\] done clear
C) \[11.72\] done clear
D) \[8.73\] done clear
View Answer play_arrowA) 60 done clear
B) 40 done clear
C) 30 done clear
D) 20 done clear
View Answer play_arrowA) 340 min done clear
B) 12min done clear
C) 36min done clear
D) 40 min done clear
View Answer play_arrowA) M done clear
B) \[M/2\] done clear
C) \[M/4\] done clear
D) \[M/5\] done clear
View Answer play_arrowquestion_answer67) Thermodynamically the most stable form of carbon is:
A) Diamond done clear
B) Graphite done clear
C) Fullerenes done clear
D) Coal done clear
View Answer play_arrowquestion_answer68) If the cell reaction are given as
(i) \[F{{e}^{2+}}(g)+2{{e}^{-}}\xrightarrow{{}}Fe(s)\,;\,{{E}^{o}}=-0.44\,V\] |
(ii) \[2{{H}^{+}}(aq)+\frac{1}{2}{{O}_{2}}(g)+2{{e}^{-}}\to {{H}_{2}}O(\ell )\,;\,{{E}^{o}}=+1.23\,V\]the \[{{E}^{o}}\] for the reaction, |
A) \[+1.67\,V\] done clear
B) \[-1.67\,V\] done clear
C) \[+0.79\,V\] done clear
D) \[-0.79\,V\] done clear
View Answer play_arrowquestion_answer69) Bromine water reacts with \[S{{O}_{4}}\] to form :
A) \[{{H}_{2}}O\] and \[HBr\] done clear
B) \[HBr\] and S done clear
C) \[{{H}_{2}}S{{O}_{4}}\], and \[HBr\] done clear
D) S and \[{{H}_{2}}O\] done clear
View Answer play_arrow\[N{{H}_{3}}(g)+3C{{l}_{2}}(g)\overset{{}}{leftrightarrows}NC{{l}_{3}}(g)+3HCl(g);-\Delta {{H}_{1}}\] |
\[{{N}_{2}}(g)+3{{H}_{2}}(g)\overset{{}}{leftrightarrows}2N{{H}_{3}}(g);-\Delta {{H}_{2}}\] |
\[{{H}_{2}}(g)+C{{l}_{2}}(g)\overset{{}}{leftrightarrows}2HCl(g);-\Delta {{H}_{3}}\] |
A) \[\Delta {{H}_{1}}=\Delta {{H}_{f}}+\frac{\Delta {{H}_{2}}}{2}-\frac{3}{2}\Delta {{H}_{3}}\] done clear
B) \[\Delta {{H}_{1}}=\Delta {{H}_{f}}-\frac{\Delta {{H}_{2}}}{2}+\frac{3}{2}\Delta {{H}_{3}}\] done clear
C) \[\Delta {{H}_{f}}=\Delta {{H}_{1}}+\frac{\Delta {{H}_{2}}}{2}-\frac{3}{2}\Delta {{H}_{3}}\] done clear
D) \[\Delta {{H}_{f}}=\Delta {{H}_{1}}+\Delta {{H}_{2}}+\Delta {{H}_{2}}\] done clear
View Answer play_arrowA) Iron done clear
B) Copper done clear
C) Zinc done clear
D) Gold done clear
View Answer play_arrowA) 7 done clear
B) \[\frac{1}{7}\] done clear
C) \[\sqrt{\frac{1}{7}}\] done clear
D) 49 done clear
View Answer play_arrowquestion_answer73) Nitrolium is mixture of
A) \[Ca{{(CN)}_{2}}^{+}\] graphite done clear
B) \[Ca{{C}_{2}}+\] graphite done clear
C) \[CaC{{H}_{2}}+\] graphite done clear
D) \[CaC{{N}_{2}}+{{N}_{2}}\] done clear
View Answer play_arrowA) \[{{[Co{{F}_{6}}]}^{3-}}\] done clear
B) \[{{[CoN{{H}_{3}}]}^{3+}}\] done clear
C) \[{{[Fe{{(CN)}_{6}}]}^{3-}}\]- done clear
D) \[{{[Cr{{(N{{H}_{3}})}_{6}}]}^{3+}}\] done clear
View Answer play_arrowquestion_answer75) For a reaction \[A+2B\xrightarrow{{}}C+D\], the following data were obtained:
Expt. Initial concentration | Initial rate of formation of D (Mol \[L-1\] \[Mi{{n}^{-1}}\]) | ||
1 | \[0.1\] | \[0.1\] | \[6.0\times {{10}^{-3}}\] |
2 | \[0.3\] | \[0.2\] | \[7.2\times {{10}^{-1}}\] |
3 | \[0.3\] | \[0.4\] | \[2.88\times {{10}^{-1}}\] |
4 | \[0.4\] | \[0.1\] | \[2.4\times {{10}^{-2}}\] |
A) Rate \[=k[A]\,\,[B]\] done clear
B) Rate \[=k[A]\,\,{{[B]}^{2}}\] done clear
C) Rate \[=k{{[A]}^{2}}\,\,{{[B]}^{2}}\] done clear
D) Rate \[=k{{[A]}^{2}}\,\,[B]\] done clear
View Answer play_arrowA) Adsorption is always exothermic done clear
B) Physisorption may transform into chemisorption at high temperature done clear
C) Physisorption increases with increasing temperature but chemisorption decreases with increases temperature done clear
D) Chemisorption is more exothermic than physisorption, however it is very slow due to higher energy of activation. done clear
View Answer play_arrowA) \[4.5\,A\] done clear
B) \[9.0\,A\] done clear
C) \[5.2\,A\] done clear
D) None of these done clear
View Answer play_arrowquestion_answer78) Which of the following statement is not correct?
A) \[La\,{{(OH)}_{3}}\] is less basic than \[Lu{{(OH)}_{3}}\] done clear
B) In lanthanoide series, ionic radius of \[L{{n}^{3+}}\] ion decreases. done clear
C) La is actually an element of transition series rather than lanthanoides done clear
D) Atomic radius of Zn and \[Hf\] are same because of lanthanoides contraction. done clear
View Answer play_arrowA) 10 seconds : He done clear
B) 20 seconds : \[{{O}_{2}}\] done clear
C) 25 seconds : CO done clear
D) 55 seconds : \[C{{O}_{2}}\] done clear
View Answer play_arrowquestion_answer80) The reagents X and Y are respectively:
A) \[X=C{{H}_{3}}COCl/AlC{{l}_{3}}\],\[Y=KMn{{O}_{4}}/O{{H}^{\Theta }}/\Delta \], acidification done clear
B) \[X=C{{H}_{3}}C{{H}_{2}}Cl/AlC{{l}_{3}}\],\[Y=Cr{{O}_{3}}/{{H}^{+}}/\Delta \,\therefore \] done clear
C) \[X=C{{H}_{3}}COCl/AlC{{l}_{3}}\],\[Y={{I}_{2}}/O{{H}^{\Theta }}/\Delta \], acidification done clear
D) \[X=KMn{{O}_{4}}/O{{H}^{\Theta }}/\Delta \], acidification,\[Y=C{{H}_{3}}C{{H}_{2}}Cl/AlC{{l}_{3}}\] done clear
View Answer play_arrowquestion_answer81) The structure of product (P) is :
\[\xrightarrow[(4)]{{{(C{{H}_{3}}CO)}_{2}}O}\] (P) |
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) as dication done clear
B) as monocation done clear
C) as zwitter ion done clear
D) as monoanion done clear
View Answer play_arrowquestion_answer84) The correct acidic strength order is
A) \[a>c>b>d\] done clear
B) \[d>c>b>a\] done clear
C) \[c>a>d>b\] done clear
D) \[b>d>c>a\] done clear
View Answer play_arrow(I) | (II) | (III) | (IV) |
A) \[(II)>(III)>(IV)>(I)\] done clear
B) \[(III)>(II)>(IV)>(I)\] done clear
C) \[(IV)>(I)>(III)>(II)\] done clear
D) \[(III)>(II)>(I)>(IV)\] done clear
View Answer play_arrowquestion_answer86) The compound I & II are
(I) | (II) |
A) Enantiomers done clear
B) Diastereomers done clear
C) Identical done clear
D) Position isomers done clear
View Answer play_arrowquestion_answer87) Which of the following reagent can be used for the given conversion:
A) \[LiAl{{H}_{4}}\] done clear
B) \[Na/{{C}_{2}}{{H}_{5}}OH\] done clear
C) \[DIBAL-H~\] done clear
D) \[NaB{{H}_{4}}\] done clear
View Answer play_arrowA) \[2HI+{{H}_{2}}S{{O}_{4}}\xrightarrow{{}}{{I}_{2}}+S{{O}_{2}}+2{{H}_{2}}O\] done clear
B) (b)\[Ca(OH)+{{H}_{2}}S{{O}_{4}}\xrightarrow{{}}CaS{{O}_{4}}+2{{H}_{2}}O\] done clear
C) \[NaCl+{{H}_{2}}S{{O}_{4}}\xrightarrow{{}}NaHS{{O}_{4}}+HCl\] done clear
D) (d)\[2PC{{l}_{5}}+{{H}_{2}}S{{O}_{4}}\xrightarrow{{}}2POC{{l}_{3}}+2HCl+S{{O}_{2}}C{{l}_{2}}\] done clear
View Answer play_arrowA) \[\frac{3}{2}\] done clear
B) \[\frac{4}{9}\] done clear
C) \[\frac{9}{4}\] done clear
D) \[\frac{27}{8}\] done clear
View Answer play_arrowA) density is \[6.09\,gm/ml\] done clear
B) Radius of \[N{{a}^{+}}\]on is 80 pm done clear
C) Distance between two closest \[N{{a}^{+}}\] ion is 282 pm done clear
D) Radius ratio is between \[0.732\] to 1 done clear
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