A) 2 done clear
B) 3 done clear
C) 4 done clear
D) infinite done clear
View Answer play_arrowA) 1 done clear
B) \[3/2\] done clear
C) 2 done clear
D) 4 done clear
View Answer play_arrowA) \[\frac{-1}{2}\] done clear
B) \[e+\frac{1}{2}\] done clear
C) \[e-\frac{1}{2}\] done clear
D) \[\frac{1}{2}\] done clear
View Answer play_arrowA) \[^{7}{{C}_{4}}\] done clear
B) \[{}^{10}{{C}_{4}}-{}^{8}{{C}_{3}}\] done clear
C) \[{}^{10}{{C}_{4}}-{}^{7}{{C}_{3}}\] done clear
D) \[{}^{8}{{C}_{3}}\] done clear
View Answer play_arrowA) \[2x-11y=15\] done clear
B) \[2x+11y=15\] done clear
C) \[2x+11y+15=0\] done clear
D) \[11x-2y=15\] done clear
View Answer play_arrowA) 2 done clear
B) 30 done clear
C) 60 done clear
D) 120 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) \[\frac{\pi }{3}\] done clear
B) \[\frac{\pi }{2}\] done clear
C) \[{{\sin }^{-1}}\left( \frac{1}{\sqrt{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}} \right)\] done clear
D) \[{{\cos }^{-1}}\left( \frac{pqr}{\sqrt{{{p}^{2}}+{{q}^{2}}r}} \right)\] done clear
View Answer play_arrowA) 0 done clear
B) 2 done clear
C) 4 done clear
D) does not exist done clear
View Answer play_arrowA) 210 done clear
B) 220 done clear
C) 120 done clear
D) 110 done clear
View Answer play_arrowA) 1 done clear
B) 2 done clear
C) 4 done clear
D) infinite done clear
View Answer play_arrowA) 5 done clear
B) 10 done clear
C) 15 done clear
D) 20 done clear
View Answer play_arrowA) 6 done clear
B) 4 done clear
C) 3 done clear
D) \[\frac{1}{2}\] done clear
View Answer play_arrowA) 4 done clear
B) 2 done clear
C) 1 done clear
D) \[\frac{1}{2}\] 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) 4 done clear
B) 7 done clear
C) 6 done clear
D) 5 done clear
View Answer play_arrowA) 5 done clear
B) 10 done clear
C) 20 done clear
D) 40 done clear
View Answer play_arrowA) \[\frac{7}{45}\] done clear
B) \[\frac{13}{45}\] done clear
C) \[\frac{11}{18}\] done clear
D) \[\frac{1}{2}\] done clear
View Answer play_arrowA) 0 done clear
B) 2 done clear
C) 4 done clear
D) 6 done clear
View Answer play_arrowA) Both S and T are equivalence relations on R. done clear
B) S is an equivalence relation on R but T is not. done clear
C) T is an equivalence relation R but S is not. done clear
D) Neither S nor T is an equivalence relation on R. done clear
View Answer play_arrowA) \[\left( \frac{2}{3},\frac{1}{3} \right)\] done clear
B) \[\left( \frac{5}{3},\frac{4}{3} \right)\] done clear
C) \[\left( \frac{13}{6},\frac{11}{6} \right)\] done clear
D) \[\left( \frac{5}{12},\frac{1}{12} \right)\] done clear
View Answer play_arrowA) \[b\tan \alpha \cdot \cot \beta \] done clear
B) \[b(\cot \alpha )\cdot (\tan \beta )\] done clear
C) \[b\tan \alpha \cdot tan\beta \] done clear
D) \[b\cos \alpha \cdot \cot \beta \] done clear
View Answer play_arrowquestion_answer23) Consider a \[\Delta ABC\] whose vertices are
\[A=(3+4\cos \theta ,-5+4\sin \theta )\], |
\[B=\left( 3+4\cos \left( \theta +\frac{2\pi }{3} \right),-5+4\sin \left( \theta +\frac{2\pi }{3} \right) \right)\] |
\[C=\left( 3+4\cos \left( \theta +\frac{4\pi }{3} \right),-5+4\sin \left( \theta +\frac{4\pi }{3} \right) \right)\] |
STATEMENT-1: The orthocenter of the triangle is (3, -5). |
STATEMENT-2: The triangle ABC is equilateral. |
A) Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement- 1. done clear
B) Statement-2 is true, Statement-2 is true and Statement-2 is NOT 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_arrowquestion_answer24) If \[f(x)=\max ,(\sin x,{{\sin }^{-1}}(\cos x))\], then
A) \[f\] is differentiable every where done clear
B) \[f\] is continuous every where but not differentiable done clear
C) \[f\] is discontinuous at \[x=\frac{n\pi }{2},n\in I\] done clear
D) \[f\] is non-differentiable at \[x=\frac{n\pi }{2},n\in I\] 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) reflexive and transitive only done clear
B) reflexive only done clear
C) an equivalence relation done clear
D) reflexive and symmetric done clear
View Answer play_arrowA) \[162\] done clear
B) \[{{(162)}^{2}}\] done clear
C) \[256\] done clear
D) \[{{(256)}^{2}}\] done clear
View Answer play_arrowquestion_answer28) The statement \[p\to (q\to p)\] is equivalent to
A) \[p\to (p\wedge q)\] done clear
B) \[p\to (p\vee q)\] done clear
C) \[p\to (p\to q)\] done clear
D) \[p\to (p\leftrightarrow q)\] done clear
View Answer play_arrowA) \[x-2y+8=0\] done clear
B) \[x+y-16=0\] done clear
C) \[3x-y-16=0\] done clear
D) \[x-3y+16=0\] done clear
View Answer play_arrowSTATEMENT-1: the equation \[\sin x={{e}^{x}}\] has infinite solutions. |
STATEMENT-2: \[y={{e}^{x}}\] is unbounded functions. |
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 true, Statement-2 is false. done clear
D) Statement-1 is false, Statement-2 is true. done clear
View Answer play_arrowquestion_answer31) The edge of a square is \[l=1.5\,\,5\times {{10}^{-2}}m\] then its area will be:
A) \[2.25\times {{10}^{-4}}{{m}^{2}}\] done clear
B) \[2.3\times {{10}^{-4}}{{m}^{2}}\] done clear
C) \[2.2\times {{10}^{4}}{{m}^{2}}\] done clear
D) \[2.0\times {{10}^{-4}}{{m}^{2}}\] done clear
View Answer play_arrowquestion_answer32) Choose correct statement :
A) Dimensionally correct equation must be correct. done clear
B) Dimensionally correct equation maybe correct. done clear
C) Dimensionally quantity must not have SI units. done clear
D) The quantity which has SI units must have dimension. done clear
View Answer play_arrowA) 15m done clear
B) 25m done clear
C) 20m done clear
D) 30m done clear
View Answer play_arrowA) \[10\,m{{s}^{-2}}\] done clear
B) \[6.5\,m{{s}^{-2}}\] done clear
C) \[2.5\,m{{s}^{-2}}\] done clear
D) \[1\,m{{s}^{-2}}\] done clear
View Answer play_arrowA) \[0,J16J\] done clear
B) \[16J,-16J\] done clear
C) \[0J,-16J\] done clear
D) \[-16J,-16J\] done clear
View Answer play_arrowA) \[\frac{8}{9}\] done clear
B) \[\frac{7}{9}\] done clear
C) \[\frac{5}{7}\] done clear
D) 1 done clear
View Answer play_arrowA) \[\frac{\pi }{2}\] done clear
B) \[\pi \] done clear
C) \[\frac{\pi }{3}\] done clear
D) \[\frac{\pi }{4}\] done clear
View Answer play_arrowA) 22 unit done clear
B) 2 unit done clear
C) 10 unit done clear
D) 8 unit done clear
View Answer play_arrowA) \[3\,m{{s}^{-2}},\frac{3}{25}m\] done clear
B) \[4m{{s}^{-2}},\frac{4}{25}m\] done clear
C) \[5m{{s}^{-2}},\frac{1}{25}m\] done clear
D) None done clear
View Answer play_arrowA) \[\frac{\rho {{R}^{2}}{{q}_{0}}}{3{{\varepsilon }_{0}}}\] done clear
B) \[\frac{\rho {{R}^{2}}{{q}_{0}}}{6{{\varepsilon }_{0}}}\] done clear
C) \[\frac{\rho {{R}^{2}}{{q}_{0}}}{4{{\varepsilon }_{0}}}\] done clear
D) \[\frac{\rho {{R}^{2}}{{q}_{0}}}{12{{\varepsilon }_{0}}}\] done clear
View Answer play_arrowA) \[A=0\] done clear
B) \[A=Q\] done clear
C) \[A=\frac{Q}{2\pi {{a}^{2}}}\] done clear
D) \[A=\frac{Q}{4\pi {{a}^{2}}}\] done clear
View Answer play_arrowA) \[1+\sqrt{3}\] done clear
B) \[4-\sqrt{3}\] done clear
C) \[2\sqrt{2}\] done clear
D) \[4-\sqrt{2}\] done clear
View Answer play_arrowA) \[2C\] done clear
B) C done clear
C) \[C/2\] done clear
D) \[5\,C\] done clear
View Answer play_arrowA) \[\frac{M}{1.4}\] done clear
B) M done clear
C) \[1.4\,M\] done clear
D) \[2.8M\] done clear
View Answer play_arrowA) \[\frac{{{B}_{y}}}{{{B}_{X}}}=1\] done clear
B) \[\frac{{{B}_{y}}}{{{B}_{X}}}=2\] done clear
C) \[\frac{{{B}_{y}}}{{{B}_{X}}}=\frac{1}{2}\] done clear
D) \[\frac{{{B}_{y}}}{{{B}_{X}}}=\frac{1}{4}\] done clear
View Answer play_arrowA) \[\frac{1}{2\pi }\] done clear
B) \[\frac{1}{\sqrt{2}\times 200\pi }\] done clear
C) \[\frac{1}{\sqrt{2}\times 20\pi }\] done clear
D) \[\frac{1}{200\pi }\] done clear
View Answer play_arrowA) \[\sqrt{V_{0}^{2}-\frac{V_{1}^{2}}{2}}\] done clear
B) \[\sqrt{V_{0}^{2}+\frac{V_{1}^{2}}{2}}\] done clear
C) \[V_{0}^{2}+\frac{V_{1}^{2}}{2}\] done clear
D) \[\frac{V_{1}^{2}}{2}+V_{0}^{2}\] done clear
View Answer play_arrowA) \[{{53}^{o}}\] done clear
B) \[{{127}^{o}}\] done clear
C) \[106{}^\circ \] done clear
D) \[90{}^\circ \] done clear
View Answer play_arrowA) \[6\,V\] done clear
B) \[8\,\,V\] done clear
C) \[9\,V\] done clear
D) \[17\,V\] done clear
View Answer play_arrowA) \[5\,kHz\] done clear
B) \[5\,kHz\] done clear
C) \[20\,kHz\] done clear
D) \[200\,kHz\] done clear
View Answer play_arrowA) 6 and 6 done clear
B) 3 and 3 done clear
C) 6 and 3 done clear
D) 3 and 6 done clear
View Answer play_arrowA) The work function of A is \[2.25\,\,eV\] done clear
B) The work function of B is \[2.25\,eV\] done clear
C) \[{{T}_{A}}=2.75\,eV\] done clear
D) \[{{T}_{B}}=1.25\,eV\] done clear
View Answer play_arrowquestion_answer53) In Carnot engine the work done by working substance is equivalent to :
A) heat taken by source done clear
B) Heat given to sink done clear
C) Difference between above two done clear
D) Ratio of heat taken and heat given done clear
View Answer play_arrowA) \[{{T}_{1}}={{T}_{2}}={{T}_{3}}\] done clear
B) \[{{T}_{3}}>{{T}_{2}}>{{T}_{1}}\] done clear
C) \[{{T}_{1}}>{{T}_{2}}>{{T}_{3}}\] done clear
D) \[{{T}_{3}}>{{T}_{1}}>{{T}_{3}}\] done clear
View Answer play_arrowA) \[3.6\,N\] done clear
B) \[1.8\,N\] done clear
C) \[72\,N\] done clear
D) \[18N\] done clear
View Answer play_arrowA) \[3\times {{2}^{2}}\] done clear
B) \[Yl/2A\] done clear
C) \[Y{{l}^{2}}/2A\] done clear
D) None done clear
View Answer play_arrowA) \[50\,cm\] done clear
B) \[75\,cm\] done clear
C) \[100\,cm\] done clear
D) \[150\,cm\] done clear
View Answer play_arrowA) \[0.4\,m/s\] done clear
B) \[0.133\,m/s\] done clear
C) \[0.1\,m/s\] done clear
D) \[0.2\,m/s\] done clear
View Answer play_arrowA) \[2\times 3\] done clear
B) \[{{2}^{2}}\] done clear
C) \[{{2}^{3}}\] done clear
D) \[3\times {{2}^{2}}\] done clear
View Answer play_arrowA) \[2250\,cal\] done clear
B) \[2250\,J\] done clear
C) \[4500\,J\] done clear
D) \[6428\,cal\] done clear
View Answer play_arrowquestion_answer61) At same temperature and pressure, rate of diffusion is same for
A) \[{{D}_{2}},He\] done clear
B) \[{}^{14}{{D}_{2}}C{{O}_{2}}\] done clear
C) \[{{N}_{2}}O,N{{O}_{2}}\] done clear
D) \[C{{H}_{4}},C{{H}_{4}}\] done clear
View Answer play_arrowA) \[{{P}_{0}}{{V}_{0}}\] done clear
B) \[\frac{{{P}_{0}}{{V}_{0}}}{2}\] done clear
C) \[3{{P}_{0}}{{V}_{0}}\] done clear
D) \[\frac{3}{2}{{P}_{0}}{{V}_{0}}\] done clear
View Answer play_arrowA) \[{{P}_{2}}{{Q}_{3}}\] done clear
B) \[{{P}_{6}}{{Q}_{4}}\] done clear
C) \[{{P}_{4}}{{Q}_{2}}\] done clear
D) \[{{P}_{3}}\,{{Q}_{4}}\] done clear
View Answer play_arrowA) \[269.2\,K\] done clear
B) \[271K\] done clear
C) \[272\ K\] done clear
D) \[260\,K\] done clear
View Answer play_arrowquestion_answer65) Which of the following is incorrect statement regarding Tyndall effect??
A) It is shown by lyophobic colloids. done clear
B) The refractive index of dispersed phase and dispersion medium differ greatly in magnitude. done clear
C) The diameter of the dispersed particles is much smaller than the wavelength of light used. done clear
D) this effect path of beam of light illuminated by bluish light. done clear
View Answer play_arrowA) A\[\to \]Calcination, B\[\to \]Coke, C\[\to \]Fractional distillation done clear
B) A\[\to \]Calcination, B\[\to \]Carbon monoxide, C\[\to \]Fractional distillation done clear
C) A\[\to \]Calcination, B\[\to \]Electrolysis, C\[\to \]Liquantion done clear
D) A\[\to \]Roasting, B\[\to \]Coke, C\[\to \]Poling done clear
View Answer play_arrowquestion_answer67) \[Br{{F}_{5}}+{{H}_{2}}O\xrightarrow{{}}(A)+(B)\]. A and B is :
A) A\[\to \]\[HBr\] B\[\to \]\[HOF\] done clear
B) A\[\to \]\[HBrO\] B\[\to \]\[HF\] done clear
C) A\[\to \]\[HBr{{O}_{2}}\] B\[\to \]\[HF\] done clear
D) A\[\to \]\[HBr{{O}_{3}}\] B\[\to \]\[HF\] done clear
View Answer play_arrowquestion_answer68) Find correct statement:
(A) Copper \[(I)\] compound are unstable in aqueous solution and undergo disproportionation, |
(B) The stability of \[C{{u}^{2+}}\] rather than \[C{{u}^{1+}}\] is due to the much more negative \[\Delta \,{{H}_{Hyd.}}\] of \[C{{u}^{2+}}\] then\[C{{u}^{+}}\]. |
A) Only A done clear
B) Only B done clear
C) A & B Both done clear
D) None done clear
View Answer play_arrowA) \[1.39\,V\] done clear
B) \[0.829\,V\] done clear
C) \[-\,0.7705\,V\] done clear
D) \[0.21\,V\] done clear
View Answer play_arrowA) A is more thermodynamically stable than B. done clear
B) A shows optical isomerism. done clear
C) A and B both are diamagnetic done clear
D) A is outer orbital complex while B is inner orbital complex. done clear
View Answer play_arrowquestion_answer71) Which of the following is incorrect?
A) Nitric oxide deplete ozone layer in upper atomsphere. done clear
B) \[{{O}_{3}}\] is powerful oxidising agent done clear
C) Acidic strength increases from \[{{H}_{2}}\] Te to \[{{H}_{2}}O\] done clear
D) \[S{{O}_{2}}\]is reducing agent while \[Te{{O}_{2}}\] is an oxidising agent. done clear
View Answer play_arrowA) \[ds{{p}^{2}},s{{p}^{3}}{{d}^{2}}\] done clear
B) \[s{{p}^{3}},s{{p}^{3}}{{d}^{2}}\] done clear
C) \[s{{p}^{3}}{{d}^{2}},s{{p}^{3}}\] done clear
D) \[s{{p}^{3}}{{d}^{2}},ds{{p}^{2}}\] done clear
View Answer play_arrowA) \[\frac{5}{6}\] done clear
B) \[\frac{6}{5}\] done clear
C) \[\frac{1}{4}\] done clear
D) \[\frac{4}{1}\] done clear
View Answer play_arrowA) 10 minutes done clear
B) 5 minutes done clear
C) 7.5 minutes done clear
D) 15 minutes done clear
View Answer play_arrowA) \[\frac{2}{3}\] done clear
B) \[\frac{3}{2}\] done clear
C) \[\frac{4}{5}\] done clear
D) \[\frac{5}{2}\] done clear
View Answer play_arrowquestion_answer76) Which of following is correct set?
A)
Species | Hybridisation | Shape |
\[Xe{{F}_{2}}\] | \[s{{p}^{3}}\] | Linear |
B)
Species | Hybridisation | Shape |
\[Xe{{O}_{2}}{{F}_{2}}\] | \[s{{p}^{3}}\] | Tetrahedral |
C)
Species | Hybridisation | Shape |
\[XeO{{F}_{4}}\] | \[s{{p}^{3}}{{d}^{2}}\] | Square Pyramidal |
D)
Species | Hybridisation | Shape |
\[Xe{{F}_{6}}\] | \[s{{p}^{3}}{{d}^{2}}\] | Octahedral |
question_answer77) Number of orbital in zinc having at least one angular node:
A) 11 done clear
B) 7 done clear
C) 6 done clear
D) 5 done clear
View Answer play_arrowA) \[{{10}^{-2}}M\] done clear
B) \[2\times {{10}^{-2}}M\] done clear
C) \[5\times {{10}^{-3}}M\] done clear
D) \[5.4\times {{10}^{-9}}M\] done clear
View Answer play_arrowA) \[{{p}_{1}}>{{p}_{3}}>{{p}_{2}}\] done clear
B) \[{{p}_{1}}>{{p}_{2}}>{{p}_{3}}\] done clear
C) \[{{p}_{2}}>{{p}_{3}}>{{p}_{1}}\] done clear
D) \[{{p}_{2}}>{{p}_{1}}>{{p}_{3}}\] done clear
View Answer play_arrowquestion_answer80) Which of the following reaction gives exclusively single product-
(i) | (ii) | (iii) | (iv) |
A) \[(i\And ii)\] done clear
B) \[(ii\And iii)\] done clear
C) \[(i\And iv)\] done clear
D) \[(iii\And iv)\] done clear
View Answer play_arrowA) \[C{{H}_{3}}-C{{H}_{2}}-\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,{{H}_{2}}-CHO\] done clear
B) \[C{{H}_{3}}-C{{H}_{2}}-\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,H-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{3}}\] done clear
C) \[C{{H}_{3}}-C{{H}_{2}}-\underset{\begin{smallmatrix} | \\ C{{H}_{3}} \end{smallmatrix}}{\mathop{C}}\,H-C{{H}_{2}}-CHO\] done clear
D) \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ CHO \end{smallmatrix}}{\mathop{C}}\,H-\overset{\begin{smallmatrix} C{{H}_{3}} \\ || \end{smallmatrix}}{\mathop{C}}\,H-C{{H}_{3}}\] done clear
View Answer play_arrowquestion_answer82) Which of the following statements are correct?
(A) Sucrose is dextrorotatory but after hydrolysis the mixture acquires a iaevorotatory nature |
(B) In amylopectin branching occurs by \[{{C}_{1}}-{{C}_{6}}\] glycosidic linkage |
(C) Glycine is a optically inactive ammo acid |
(D) Pernicious anaemia is cause by deficiency of vitamin \[{{B}_{12}}\] |
A) A, B, C, D done clear
B) A, C, D done clear
C) B, C, D done clear
D) A, B done clear
View Answer play_arrowA) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowA) In the formation of (D) from (C), ring expansion takes place done clear
B) The product (D) is cyclopentanone done clear
C) The product (D) is a, p-unsaturated cyclopentanone done clear
D) Conversion of (B) to (C) can also be carried out with \[LiA1{{H}_{4}}\] done clear
View Answer play_arrowquestion_answer85) Which of the following reacting substances will not liberate ethyne gas?
A) \[C{{H}_{3}}C1\] and \[Ag\] done clear
B) \[Ca{{C}_{2}}\] and \[{{H}_{2}}O\] done clear
C) \[CH{{l}_{3}}\] and \[Ag\] done clear
D) Vinylic chloride heated with sodamide done clear
View Answer play_arrowquestion_answer86) The reactant X & Y following reactions are
A) done clear
B) \[Ph-\overset{\begin{smallmatrix} O \\ || \end{smallmatrix}}{\mathop{C}}\,-C{{H}_{2}}+\] done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer87) Which of the following is correct for reactivity towards \[B{{r}_{2}}/Fe\]?
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) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer90) The rate determine step of following reaction is:
A) Step-1 done clear
B) Step-2 done clear
C) Step-3 done clear
D) Step-4 done clear
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