A) \[\vec{r}.(7\hat{i}+2\hat{j}+4\hat{k})=54\] done clear
B) \[\vec{r}.(5\hat{i}+4\hat{j}+3\hat{k})=57\] done clear
C) \[\vec{r}.(3\hat{i}+4\hat{j}+5\hat{k})=49\] done clear
D) \[\vec{r}.(4\hat{i}+3\hat{j}+5\hat{k})=50\] done clear
View Answer play_arrowA) P(A) + P(B) = 1 done clear
B) \[P(A'\cap B)=0\] done clear
C) A and B are equally likely done clear
D) \[P(A'\cup B')=0\] done clear
View Answer play_arrowA) \[x-2y+1=0\] done clear
B) \[2x+y-90\] done clear
C) \[2x-5y-0\] done clear
D) \[5x-2y=0\] done clear
View Answer play_arrowA) \[\frac{\pi \ell n2}{8}\] done clear
B) \[\frac{\pi \ell n2}{4}\] done clear
C) \[\frac{\pi \ell n2}{32}\] done clear
D) \[\frac{\pi \ell n2}{16}\] done clear
View Answer play_arrowA) 3 done clear
B) 50 done clear
C) 2 done clear
D) 1 done clear
View Answer play_arrowA) 2 done clear
B) 1 done clear
C) -2 done clear
D) -1 done clear
View Answer play_arrowA) circle of radius 2. done clear
B) parabola of length of latus-rectum 4. done clear
C) ellipse with length of semi-major axis 2. done clear
D) hyperbola with length of semi-transverse axis \[\sqrt{2}\]. done clear
View Answer play_arrowA) 26 done clear
B) 12 done clear
C) 18 done clear
D) 36 done clear
View Answer play_arrowA) \[2:3\] done clear
B) \[1:4\] done clear
C) \[1:2\] done clear
D) \[3:4\] done clear
View Answer play_arrowA) \[y=2x\] done clear
B) \[y=-x\] done clear
C) \[y=x\] done clear
D) \[y=-2x\] done clear
View Answer play_arrowA) \[-4\] done clear
B) \[-8\] done clear
C) 6 done clear
D) 10 done clear
View Answer play_arrowA) \[y\sqrt{\cot x}=\tan x+C\] done clear
B) \[y\sqrt{\cot x}=x+C\] done clear
C) \[y\sqrt{\tan x}=\cot x+C\] done clear
D) \[y\sqrt{\tan x}=x+C\][Note: C denotes constant of integration] done clear
View Answer play_arrowA) \[0.20\] done clear
B) \[0.70\] done clear
C) \[0.71\] done clear
D) \[0.51\] done clear
View Answer play_arrowA) \[-4\lambda \] abc done clear
B) \[4{{\lambda }^{2}}\] done clear
C) \[-4{{\lambda }^{2}}\] done clear
D) \[4\lambda \] abc done clear
View Answer play_arrowA) \[\frac{\pi }{2}\] done clear
B) 0 done clear
C) \[\frac{3\pi }{2}\] done clear
D) \[\pi \] done clear
View Answer play_arrowA) \[\frac{7\sqrt{3}}{2}\left( \frac{1}{\sqrt{3}+1} \right)m\] done clear
B) \[\frac{7\sqrt{3}}{2}\left( \frac{1}{\sqrt{3}-1} \right)m\] done clear
C) \[\frac{7\sqrt{3}}{2}(\sqrt{3}+1)m\] done clear
D) \[\frac{7\sqrt{3}}{2}(\sqrt{3}-1)m\] done clear
View Answer play_arrowA) \[8\lambda -5\mu =0\] done clear
B) \[10\lambda -7\mu =0\] done clear
C) \[7\lambda -10\mu =0\] done clear
D) \[5\lambda -8\mu =0\] done clear
View Answer play_arrowA) 2 done clear
B) 1 done clear
C) 0 done clear
D) 3 done clear
View Answer play_arrowA) \[\frac{2\sqrt{3}}{5}\] done clear
B) \[\frac{4\sqrt{3}}{5}\] done clear
C) \[\frac{2\sqrt{3}}{15}\] done clear
D) \[\frac{4\sqrt{3}}{15}\] done clear
View Answer play_arrowA) \[\frac{3\pi }{4}\] done clear
B) \[\frac{\pi }{4}\] done clear
C) \[\frac{\pi }{2}\] done clear
D) \[\frac{\pi }{6}\] done clear
View Answer play_arrowSTATEMENT-1: Variance of observations\[2{{x}_{1}},2{{x}_{2}},2{{x}_{3}}\], ....., \[2{{x}_{n}}\] is \[4{{\sigma }^{2}}\]. |
STATEMENT-2: Arithmetic mean of \[2{{x}_{1}},2{{x}_{2}},2{{x}_{3}}\],......, \[2{{x}_{n}}\] is \[4\overline{x}\]. |
A) Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1. done clear
B) Statement-1 is true, Statement-2 is false. done clear
C) Statement-1 is false, Statement-2 is true. 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_arrowA) \[\frac{1}{2}(1-\ell n2)\] done clear
B) \[\frac{1}{2}\left( \ell n2+\frac{1}{2} \right)\] done clear
C) \[\frac{1}{2}(1+\ell n2)\] done clear
D) \[\frac{1}{2}\left( \ell n2-\frac{1}{2} \right)\] done clear
View Answer play_arrowA) \[{{y}^{2}}+4x+2=0\] done clear
B) \[{{y}^{2}}-4x+4=0\] done clear
C) \[{{y}^{2}}+4x-4=0\] done clear
D) \[{{y}^{2}}-4x+2=0\] done clear
View Answer play_arrowA) \[\left[ \frac{1}{\sqrt{2}},\sqrt{2} \right]\] done clear
B) \[\left( \sqrt{2},\infty \right)\] done clear
C) \[\left( 0,\frac{1}{2} \right)\] done clear
D) \[\left[ \frac{1}{2},\frac{1}{\sqrt{2}} \right]\] done clear
View Answer play_arrowA) \[\frac{\sqrt{5}}{2}\] done clear
B) \[\frac{\sqrt{3}}{2}\] done clear
C) \[\frac{2}{\sqrt{5}}\] done clear
D) \[\frac{2}{\sqrt{3}}\] done clear
View Answer play_arrowA) \[\frac{1}{6}\] done clear
B) \[\frac{1}{9}\] done clear
C) \[\frac{1}{24}\] done clear
D) \[\frac{1}{36}\] done clear
View Answer play_arrowA) \[\frac{{{x}^{5m}}-{{x}^{4m}}}{2m{{({{x}^{2m}}+{{x}^{m}}+1)}^{2}}}+C\] done clear
B) \[\frac{2m({{x}^{5m}}+{{x}^{4m}})}{{{({{x}^{2m}}+{{x}^{m}}+1)}^{2}}}+C\] done clear
C) \[\frac{{{x}^{4m}}}{2m{{({{x}^{2m}}+{{x}^{m}}+1)}^{2}}}+C\] done clear
D) \[\frac{{{x}^{5m}}}{2m.\,{{({{x}^{2m}}+{{x}^{m}}+1)}^{2}}}+C\] done clear
View Answer play_arrowA) \[\frac{1}{2}\] done clear
B) \[\frac{32}{65}\] done clear
C) \[\frac{33}{65}\] done clear
D) \[\frac{3}{5}\] done clear
View Answer play_arrowA) -84 done clear
B) 84 done clear
C) 672 done clear
D) -672 done clear
View Answer play_arrowA) \[\frac{-1}{2}\] done clear
B) \[\frac{1}{2}\] done clear
C) \[2\] done clear
D) \[-2\] done clear
View Answer play_arrowA) \[2:1\] done clear
B) \[4:1\] done clear
C) \[8:1\] done clear
D) \[1:1\] done clear
View Answer play_arrowA) \[\frac{1}{3}\hat{j}\,m{{s}^{-2}}\] done clear
B) \[3\hat{j}\,m{{s}^{-2}}\] done clear
C) \[\frac{2}{3}\hat{j}\,m{{s}^{-2}}\] done clear
D) \[2\hat{j}\,m{{s}^{-2}}\] done clear
View Answer play_arrowA) 1m done clear
B) \[0.8\] m done clear
C) \[0.5\] m done clear
D) \[1.25\]m done clear
View Answer play_arrowA) \[1.5:2\] done clear
B) \[1.8:2\] done clear
C) \[1.5:1\] done clear
D) \[1.8:1\] done clear
View Answer play_arrowA) \[4pV+3TA=0\] done clear
B) \[3pV-4TA=0\] done clear
C) \[4pV-3TA=0\] done clear
D) \[3pV+4TA=0\] done clear
View Answer play_arrowA) 200 K, 250 K done clear
B) 250 K, 200 K done clear
C) 300 K, 250 K done clear
D) 300 K, 200 K done clear
View Answer play_arrowA) \[\frac{\pm A}{\sqrt{3}}\] done clear
B) \[\frac{\pm A}{\sqrt{2}}\] done clear
C) \[\frac{\pm A}{3}\] done clear
D) \[\frac{\pm A}{2}\] done clear
View Answer play_arrowA) \[{{60}^{o}}\] done clear
B) \[{{45}^{o}}\] done clear
C) \[{{30}^{o}}\] done clear
D) \[{{15}^{o}}\] done clear
View Answer play_arrowA) \[\frac{2}{7}{{v}_{0}}\] done clear
B) \[\frac{3}{7}{{v}_{0}}\] done clear
C) \[\frac{5}{7}{{v}_{0}}\] done clear
D) \[\frac{6}{7}{{v}_{0}}\] done clear
View Answer play_arrowA) \[200\,m{{s}^{-1}}\] done clear
B) \[150\,m{{s}^{-1}}\] done clear
C) \[400\,m{{s}^{-1}}\] done clear
D) \[300\,m{{s}^{-1}}\] done clear
View Answer play_arrowA) 1 done clear
B) 3 done clear
C) 4 done clear
D) 2 done clear
View Answer play_arrowquestion_answer42) Identify the increasing order of the angular velocities of the following
(I) Earth rotating about its own axis |
(II) Hour's hand of a clock |
(III) Second's hand of a clock |
(IV) Flywheel of radius 2 m making 300 rpm |
A) I, II, III, IV done clear
B) II, III, IV, I done clear
C) III, IV, I, II done clear
D) IV, I, II, III done clear
View Answer play_arrowA) \[X=\] time, \[Y=\] velocity done clear
B) \[X=\] velocity, \[Y=\] time done clear
C) \[X=\] time, \[Y=\] displacement done clear
D) \[X=\] time, \[Y=\] acceleration done clear
View Answer play_arrowA) \[0.02\] mm done clear
B) \[0.05\] mm done clear
C) \[0.1\] mm done clear
D) \[0.2\] mm done clear
View Answer play_arrowquestion_answer45) The output stage of television transmitter is most likely to be a
A) plane - modulated class C amplifier done clear
B) grid - modulated class C amplifier done clear
C) screen - modulated class C amplifier done clear
D) grid - modulated class A amplifier done clear
View Answer play_arrowquestion_answer46) To get in output 1 from the circuit shown in the figure, the input must be :
A) \[A=0,\,B=1,\,C=1\] done clear
B) \[A=1,\,B=0,\,C=0\] done clear
C) \[A=1,\,B=0,\,C=1\] done clear
D) \[A=1,\,B=1,\,C=0\] done clear
View Answer play_arrowA) \[6.75\] m done clear
B) \[15.49\] m done clear
C) \[7.50\] m done clear
D) \[17.10\] m done clear
View Answer play_arrowA) 4 mA and IV done clear
B) 12 mA. and IV done clear
C) 3 mA and IV done clear
D) 3mA and 0.5V done clear
View Answer play_arrowA) \[\left( \frac{{{I}_{0}}}{8} \right){{\sin }^{2}}(2\theta )\] done clear
B) \[\left( \frac{{{I}_{0}}}{4} \right){{\sin }^{2}}(2\theta )\] done clear
C) \[\left( \frac{{{I}_{0}}}{2} \right){{\cos }^{4}}(\theta )\] done clear
D) \[{{I}_{0}}{{\cos }^{4}}(\theta )\] done clear
View Answer play_arrowA) \[\frac{1}{\sqrt{3}}\] done clear
B) \[\frac{1}{\sqrt{2}}\] done clear
C) \[\sqrt{2}\] done clear
D) \[\sqrt{3}\] done clear
View Answer play_arrowA) y-axis done clear
B) x-axis done clear
C) +z-axis done clear
D) -z-axis done clear
View Answer play_arrowA) \[0.1\,mH\] done clear
B) \[1\,mH\] done clear
C) \[0.1\,H\] done clear
D) \[1.1\,H\] done clear
View Answer play_arrowA) \[0.1\times {{10}^{-4}}s\] done clear
B) \[0.2\times {{10}^{-4}}s\] done clear
C) \[0.3\times {{10}^{-4}}s\] done clear
D) \[0.4\times {{10}^{-4}}s\] done clear
View Answer play_arrowA) \[2\times {{10}^{-2}}Am\] done clear
B) \[5\times {{10}^{-2}}Am\] done clear
C) \[2\,Am\] done clear
D) \[5\,Am\] done clear
View Answer play_arrowA) circular done clear
B) elliptical done clear
C) linear done clear
D) helical done clear
View Answer play_arrowA) \[5\,\min \] done clear
B) \[10\,\min \] done clear
C) \[20\,\min \] done clear
D) \[40\,\min \] done clear
View Answer play_arrowA) \[0.6\,A\] done clear
B) \[1.2\,A\] done clear
C) \[0.9\,A\] done clear
D) \[1.5\,A\] done clear
View Answer play_arrowA) \[\frac{1}{2}\left( \frac{q}{{{\varepsilon }_{0}}}-\phi \right)\] done clear
B) \[\frac{q}{2{{\varepsilon }_{0}}}\] done clear
C) \[\frac{\phi }{3}\] done clear
D) \[\frac{q}{{{\varepsilon }_{0}}}-\phi \] done clear
View Answer play_arrowquestion_answer59) In L-C-R AC circuit Kirchhoff's loop rule are valid for:
A) rms values done clear
B) instantaneous values done clear
C) both the above done clear
D) none of the above done clear
View Answer play_arrowA) \[nE/(n+1)\] done clear
B) \[(n+1)E/n\] done clear
C) E done clear
D) \[E/n\] done clear
View Answer play_arrowquestion_answer61) Which of the following order is correct?
A) \[As\text{ }{{H}_{3}}>N{{H}_{3}}:\]Enthalpy of vaporization done clear
B) \[{{S}_{8}}>{{P}_{4}};\] Percentage of p-character in hybrid orbitals forming \[X-X\] bonds. (\[X-X\]bond represents \[P-P\] and \[S-S\] bonds). done clear
C) \[C{{H}_{3}}C\equiv CC{{H}_{3}}<C{{H}_{3}}C{{H}_{2}}C=CH:\] Dipole moment. done clear
D) \[{{C}_{2}}^{2-}<{{N}_{2}};\] Numb(R) of n bands. done clear
View Answer play_arrowA) neither K nor a changes done clear
B) both K and exchange done clear
C) K changes, but a does not change done clear
D) K does not change but a changes done clear
View Answer play_arrowA) 5 done clear
B) 10 done clear
C) 95 done clear
D) 100 done clear
View Answer play_arrowA) \[{{d}^{2}}\] done clear
B) d done clear
C) \[\sqrt{d}\] done clear
D) \[1/\sqrt{d}\] done clear
View Answer play_arrowA) \[2\text{ }log\text{ }3/4\] done clear
B) \[2\text{ }log\text{ }1/4\] done clear
C) \[log\text{ }1/3\] done clear
D) \[2\text{ }log\text{ }3\] done clear
View Answer play_arrowquestion_answer66) The substance not likely to contain \[CaC{{O}_{3}}\] is :
A) calcined gypsum done clear
B) sea shells done clear
C) dolomite done clear
D) a marble statue done clear
View Answer play_arrowquestion_answer67) The lanthanides contraction refers to:
A) ionic radius of the series. done clear
B) valence electrons of the series. done clear
C) the density of the series. done clear
D) electronegativity of the series. done clear
View Answer play_arrowA) \[1{{s}^{2}},\text{ }2{{s}^{2}}\text{ }2{{p}^{5}}\] done clear
B) \[1{{s}^{2}},\text{ }2{{s}^{2}}\text{ }2{{p}^{3}}\] done clear
C) \[1{{s}^{2}},2{{s}^{2}}\text{ }2{{p}^{5}}\text{ }3{{s}^{1}}\] done clear
D) \[I{{s}^{2}},\text{ }2{{s}^{2}}\] done clear
View Answer play_arrowquestion_answer69) Which of the following anions is present in the chain structure of silicates?
A) \[SiO_{4}^{4-}\] done clear
B) \[S{{i}_{2}}O_{7}^{6-}\] done clear
C) \[{{\left( S{{i}_{2}}O_{5}^{2-} \right)}_{n}}\] done clear
D) \[{{\left( SiO_{3}^{2-} \right)}_{n}}\] done clear
View Answer play_arrowA) \[{{I}^{-}}\] done clear
B) \[H{{S}^{-}}\] done clear
C) \[N{{H}^{2-}}\] done clear
D) \[{{F}^{-}}\] done clear
View Answer play_arrowA) it is a low spin complex. done clear
B) it is diamagnetic. done clear
C) it shows geometrical isomerism done clear
D) (a) and (b) both. done clear
View Answer play_arrowA) \[33.33%\] done clear
B) \[66.67%\] done clear
C) \[50%\] done clear
D) \[25%\] done clear
View Answer play_arrowA) \[{{K}_{1}}=\sqrt{{{K}_{2}}}\] done clear
B) \[{{K}_{1}}=\frac{1}{\sqrt{{{K}_{2}}}}\] done clear
C) \[{{K}_{1}}=\frac{1}{K_{2}^{2}}\] done clear
D) \[{{K}_{1}}=\frac{1}{\sqrt{{{K}_{2}}}}\] done clear
View Answer play_arrowquestion_answer74) Di hydrogen has:
A) two isotopes and no isomers. done clear
B) three isotopes and two nuclear isomers. done clear
C) three isotopes and two optical isomers. done clear
D) two isotopes and two geometrical isomers done clear
View Answer play_arrowquestion_answer75) Holme's signals can be given by using :
A) \[Ca{{C}_{2}}+CaC{{N}_{2}}\] done clear
B) \[Ca{{C}_{2}}+C{{a}_{3}}{{P}_{2}}\] done clear
C) \[Ca{{C}_{2}}+CaC{{O}_{3}}\] done clear
D) \[C{{a}_{3}}{{P}_{2}}+CaC{{N}_{2}}\] done clear
View Answer play_arrowA) \[17%\] done clear
B) \[83%\] done clear
C) \[20%\] done clear
D) \[80%\] done clear
View Answer play_arrowA) \[sp\] to \[s{{p}^{2}}\] done clear
B) \[s{{p}^{2}}\]to \[s{{p}^{3}}\] done clear
C) \[sp\] to \[s{{p}^{3}}\] done clear
D) No change done clear
View Answer play_arrowA) \[{{C}_{(s)}}+{{O}_{2(g)}}\to C{{O}_{2(g)}}\] done clear
B) \[2M{{g}_{(s)}}+{{O}_{2(g)}}\to 2MgO\] done clear
C) \[2{{C}_{(s)}}+{{O}_{2(g)}}\to 2C{{O}_{(g)}}\] done clear
D) \[2C{{O}_{(g)}}+{{O}_{2(g)}}\to 2C{{O}_{2}}_{(g)}\] done clear
View Answer play_arrowquestion_answer79) Which of the following options with respect to increasing bond order is correct?
A) \[NO<{{C}_{2}}<{{O}_{2}}^{-}<{{B}_{2}}\] done clear
B) \[{{B}_{2}}<{{O}_{2}}^{-}<NO<{{C}_{2}}\] done clear
C) \[{{C}_{2}}<NO<{{B}_{2}}<{{O}_{2}}^{-}\] done clear
D) \[{{B}_{2}}<{{O}_{2}}^{-}<{{C}_{2}}<NO\] done clear
View Answer play_arrowA) Preferential adsorption of ions on their surface from the solution. done clear
B) Preferential adsorption of solvent on their surface from the solution. done clear
C) Attraction between different particles having opposite charges on their surface. done clear
D) None of these done clear
View Answer play_arrowquestion_answer81) The least polar compound is:
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer82) How many species out of the following are If aromatic?
A) 5 done clear
B) 4 done clear
C) 6 done clear
D) 3 done clear
View Answer play_arrowquestion_answer83) How many number of chiral centres are present in the following compounds?
A) 10 done clear
B) 12 done clear
C) 14 done clear
D) 13 done clear
View Answer play_arrowquestion_answer84) Which is correct order of stability for the following intermediates?
A) \[{{(C{{H}_{3}})}_{3}}\overset{\oplus }{\mathop{C}}\,<Ph-\overset{\oplus }{\mathop{C}}\,{{H}_{2}}\] done clear
B) \[{{(C{{H}_{3}})}_{3}}\overset{\oplus }{\mathop{C}}\,>Ph\,\,\overset{\oplus }{\mathop{C}}\,{{H}_{2}}\] done clear
C) \[\overset{-}{\mathop{C}}\,{{H}_{3}}<{{(C{{H}_{3}})}_{3}}{{C}^{-}}\] done clear
D) done clear
View Answer play_arrowquestion_answer85) Ketones are less reactive than aldehydes because
A) the + I-effect of the alkyl groups increases the electron deficiency of the carbonyl carbon done clear
B) the + I-effect of the alkyl groups decreases the electron deficiency of the carbonyl carbon done clear
C) of steric hindrance to the attacking nucleophile done clear
D) both (b) and (c) options are correct done clear
View Answer play_arrowA) \[\xrightarrow[{{H}_{2}}O]{B{{r}_{2}}}\xrightarrow[{{H}_{2}}O]{{{H}_{3}}{{O}^{\oplus }}}\xrightarrow[(ii)\,CuCN]{(i)\,NaN{{O}_{2}}/HCl}\] done clear
B) \[\xrightarrow[\Delta ]{{{H}_{3}}{{O}^{\oplus }}/{{H}_{2}}O}\xrightarrow[{{H}_{2}}O]{B{{r}_{2}}}\xrightarrow[(ii)\,CuCN]{(i)\,NaN{{O}_{2}}/HCl}\] done clear
C) \[\xrightarrow[(ii)\,CuCN]{(i)\,NaN{{O}_{2}}/HCl}\xrightarrow[\Delta ]{{{H}_{3}}{{O}^{\oplus }}/{{H}_{2}}O}\xrightarrow[{{H}_{2}}O]{B{{r}_{2}}}\] done clear
D) \[\xrightarrow[{{H}_{2}}O]{B{{r}_{2}}}\xrightarrow[(ii)\,CuCN]{(i)\,NaN{{O}_{2}}/HCl}\xrightarrow[\Delta ]{{{H}_{3}}{{O}^{\oplus }}/{{H}_{2}}O}\] done clear
View Answer play_arrowquestion_answer87) The correct structure of 3-Formyl-5-oxocyclohex-3-enecarbonyl chloride is:
A) done clear
B) done clear
C) done clear
D) done clear
View Answer play_arrowquestion_answer88) Which of the following reactions report the correct major products?
(I) |
(II) |
(III) |
(IV) |
A) I, III done clear
B) III, IV done clear
C) II, III, IV done clear
D) I, III, IV done clear
View Answer play_arrowquestion_answer89) Which of the following statements is not true about enzyme inhibitors?
A) Inhibit the catalytic activity of the enzyme. done clear
B) Prevent the binding of substrate. done clear
C) Generally a strong covalent bond is formed between an inhibitor and an enzyme. done clear
D) Inhibitors can be competitive or non-competitive. done clear
View Answer play_arrowquestion_answer90) Which of the following polymer has ester linkage?
A) Nylon-66 done clear
B) PVC done clear
C) Terylene done clear
D) SBR done clear
View Answer play_arrowYou need to login to perform this action.
You will be redirected in
3 sec