A)
\[\frac{15}{8}\]
done
clear
B)
\[1\]
done
clear
C)
\[\frac{4}{9}\]
done
clear
D)
\[2\]
done
clear
View Answer play_arrow
A)
\[\frac{1}{512}\]
done
clear
B)
\[\frac{1}{1024}\]
done
clear
C)
\[\frac{1}{256}\]
done
clear
D)
\[\frac{1}{2}\]
done
clear
View Answer play_arrow
A)
a circle with centre on the \[x\]-axis
done
clear
B)
an ellipse with major axis along the\[y\]-axis
done
clear
C)
a circle with centre on the \[y\]-axis
done
clear
D)
a hyperbola with transverse axis along the\[x\]-axis
done
clear
View Answer play_arrow
A)
five elements
done
clear
B)
one element
done
clear
C)
three elements
done
clear
D)
two elements
done
clear
View Answer play_arrow
A)
\[4\]
done
clear
B)
\[2\sqrt{2}\]
done
clear
C)
\[\sqrt{5}\]
done
clear
D)
\[3\]
done
clear
View Answer play_arrow
A)
\[(2,3e)\]
done
clear
B)
\[\left( \frac{4}{3},2e \right)\]
done
clear
C)
\[\left( \frac{5}{3},2e \right)\]
done
clear
D)
\[(3,6e)\]
done
clear
View Answer play_arrow
A)
onto but not one-one.
done
clear
B)
one-one but, not onto.
done
clear
C)
both one-one and onto.
done
clear
D)
neither one-one nor onto.
done
clear
View Answer play_arrow
A)
three
done
clear
B)
two
done
clear
C)
four
done
clear
D)
one
done
clear
View Answer play_arrow
A)
\[-4\]
done
clear
B)
\[-3\]
done
clear
C)
\[4\]
done
clear
D)
\[3\]
done
clear
View Answer play_arrow
A)
\[\left( 3,5 \right)\]
done
clear
B)
\[\left( 2,1 \right)\]
done
clear
C)
\[\left( 2,6 \right)\]
done
clear
D)
\[\left( 3,6 \right)\]
done
clear
View Answer play_arrow
A)
\[\frac{24}{25}\]
done
clear
B)
\[\frac{18}{25}\]
done
clear
C)
\[\frac{4}{5}\]
done
clear
D)
\[\frac{6}{25}\]
done
clear
View Answer play_arrow
A)
\[I(z)=0\]
done
clear
B)
\[R(z)>0\] and \[I(z)>0\]
done
clear
C)
\[R(z)<0\]and \[I(z)>0\]
done
clear
D)
\[R(z)=-3\]
done
clear
View Answer play_arrow
A)
\[3\]
done
clear
B)
\[6\]
done
clear
C)
\[5\]
done
clear
D)
\[4\]
done
clear
View Answer play_arrow
A)
\[-2{{x}^{3}}-1\]
done
clear
B)
\[-4{{x}^{3}}-1\]
done
clear
C)
\[-2{{x}^{3}}+1\]
done
clear
D)
\[4{{x}^{3}}+1\]
done
clear
View Answer play_arrow
A)
\[13\]
done
clear
B)
\[20\]
done
clear
C)
\[-25\]
done
clear
D)
\[25\]
done
clear
View Answer play_arrow
Consider the following three statements: P : 5 is a prime number. Q : 7 is a factor of 192. R : L.C.M.of5 and 7 is 35. Then the truth value of which one of the following statements is true?
A)
\[(\tilde{\ }P)\vee (Q\wedge R)\]
done
clear
B)
\[(P\wedge Q)\vee (\tilde{\ }R)\]
done
clear
C)
\[(\tilde{\ }P)\wedge (\tilde{\ }Q\wedge R)\]
done
clear
D)
\[P\vee (\tilde{\ }Q\wedge R)\]
done
clear
View Answer play_arrow
A)
\[3\sqrt{2}\]
done
clear
B)
\[2\sqrt{11}\]
done
clear
C)
\[8\sqrt{2}\]
done
clear
D)
\[6\sqrt{3}\]
done
clear
View Answer play_arrow
A)
\[2\sqrt{3}\]
done
clear
B)
\[-2\sqrt{3}\]
done
clear
C)
\[-\sqrt{3}\]
done
clear
D)
\[\sqrt{3}\]
done
clear
View Answer play_arrow
A)
a hyperbola whose eccentricity is\[\frac{2}{\sqrt{1-r}},\]when
done
clear
B)
an ellipse whose eccentricity is\[\sqrt{\frac{2}{r+1}},\]when
done
clear
C)
a hyperbola whose eccentricity is \[\frac{2}{\sqrt{r+1}},\] when
done
clear
D)
an ellipse whose eccentricity is \[\frac{1}{\sqrt{r+1}},\] when
done
clear
View Answer play_arrow
A)
\[{{(25)}^{2}}\]
done
clear
B)
\[{{2}^{25}}-1\]
done
clear
C)
\[{{2}^{24}}\]
done
clear
D)
\[{{2}^{25}}\]
done
clear
View Answer play_arrow
A)
constant acceleration\[~=g\text{ }sin\text{ }\theta \]
done
clear
B)
constant acceleration\[=(g\,\sin \,\theta -\mu \,g\,\cos \theta )\]
done
clear
C)
constant retardation \[=(\mu \,g\,\,\cos \,\theta -g\sin \theta )\]
done
clear
D)
variable acceleration that first decreases from \[g\text{ }sin\text{ }\theta \] to zero and then becomes negative.
done
clear
View Answer play_arrow
A)
\[{{t}_{1}}<{{t}_{2}};{{W}_{1}}>{{W}_{2}}\]
done
clear
B)
\[{{t}_{1}}>{{t}_{2}};{{W}_{1}}<{{W}_{2}}\]
done
clear
C)
\[{{t}_{1}}={{t}_{2}};{{W}_{1}}={{W}_{2}}\]
done
clear
D)
\[{{t}_{1}}>{{t}_{2}};{{W}_{1}}={{W}_{2}}\]
done
clear
View Answer play_arrow
A)
the heat produced in the wire will be doubled
done
clear
B)
the electric field across the wire will be doubled
done
clear
C)
the heat produced will remain unchanged
done
clear
D)
the electric field across the wire will remain unchanged
done
clear
View Answer play_arrow
A)
the force experienced by a charged particle in an electric field is independent of its velocity
done
clear
B)
the radius of the circular orbit of a charged particle in a magnetic field increase with increase in its speed
done
clear
C)
at a given speed, the radius of the circular orbit is the same for particles having the same charge to mass ratio
done
clear
D)
the frequency of revolution of the particle along the circular path does not depend on its speed.
done
clear
View Answer play_arrow
A)
\[2\sqrt{2}\,m{{s}^{-1}}\] making an angle of \[45{}^\circ \] with the \[+x\] axis
done
clear
B)
\[2\sqrt{2}\,m{{s}^{-1}}\] making an angle of \[135{}^\circ \] with the \[+x\] axis
done
clear
C)
\[4\text{ }m{{s}^{-1}}\] along the \[-x\] axis
done
clear
D)
\[4\text{ }m{{s}^{-1}}\] along the \[+x\] axis
done
clear
View Answer play_arrow
A)
to slow down the neutrons thermal energies
done
clear
B)
to absorb the neutrons and stop the chain reaction
done
clear
C)
to cool the reactor
done
clear
D)
to control the energy released in the reactor
done
clear
View Answer play_arrow
A)
transmission
done
clear
B)
communication
done
clear
C)
modulation
done
clear
D)
demodulation
done
clear
View Answer play_arrow
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
View Answer play_arrow
Wire bent as ABOCD as shown, carries current I entering at A and leaving at D. Three uniform magnetic fields each \[{{B}_{0}}\] exist in the region as shown. The force on the wire is
A)
\[\sqrt{3}I\,R\,{{B}_{0}}\]
done
clear
B)
\[\sqrt{5}I\,R\,{{B}_{0}}\]
done
clear
C)
\[\sqrt{8}I\,R\,{{B}_{0}}\]
done
clear
D)
\[\sqrt{6}I\,R\,{{B}_{0}}\]
done
clear
View Answer play_arrow
A)
the frequency of characteristic x - rays of a material will get changed
done
clear
B)
number of electrons emitted will change
done
clear
C)
the difference between \[{{\lambda }_{0}}\] (minimum wavelength) and \[{{\lambda }_{k\alpha }}\] (wavelength of \[{{k}_{\alpha }}x-ray\]) will get changed
done
clear
D)
difference between \[{{\lambda }_{k\alpha }}\] and \[{{\lambda }_{k\beta }}\] will get changed.
done
clear
View Answer play_arrow
A)
\[\frac{{{m}_{0}}{{v}_{0}}}{{{q}_{0}}{{E}_{0}}}\]
done
clear
B)
\[2\frac{{{m}_{0}}{{v}_{0}}}{{{q}_{0}}{{E}_{0}}}\]
done
clear
C)
\[\sqrt{3}\frac{{{m}_{0}}{{v}_{0}}}{{{q}_{0}}{{E}_{0}}}\]
done
clear
D)
\[3\frac{{{m}_{0}}{{v}_{0}}}{{{q}_{0}}{{E}_{0}}}\]
done
clear
View Answer play_arrow
A)
\[{{({{A}_{1}}{{A}_{2}})}^{1/2}}\]
done
clear
B)
\[\frac{{{A}_{1}}+{{A}_{2}}}{2}\]
done
clear
C)
\[{{\left( \frac{1}{{{A}_{1}}}+\frac{1}{{{A}_{2}}} \right)}^{-1}}\]
done
clear
D)
\[{{\left( \frac{\sqrt{{{A}_{1}}}+\sqrt{{{A}_{2}}}}{2} \right)}^{2}}\]
done
clear
View Answer play_arrow
A)
\[{{L}_{1}}>{{L}_{2}};\text{ }{{C}_{1}}<{{C}_{2}}\]
done
clear
B)
\[{{L}_{1}}<{{L}_{2}};\text{ }{{C}_{1}}<{{C}_{2}}\]
done
clear
C)
\[{{L}_{1}}>{{L}_{2}};\text{ }{{C}_{1}}>{{C}_{2}}\]
done
clear
D)
\[{{L}_{1}}<{{L}_{2}};\text{ }{{C}_{1}}>{{C}_{2}}\]
done
clear
View Answer play_arrow
A)
\[\frac{R}{{{P}_{0}}{{V}_{0}}}\]
done
clear
B)
\[\frac{{{P}_{0}}{{V}_{0}}}{R}\]
done
clear
C)
\[\frac{1}{{{T}_{0}}}\]
done
clear
D)
\[\frac{1}{n{{T}_{0}}}\]
done
clear
View Answer play_arrow
A)
\[320\Omega \] and 10 mA
done
clear
B)
\[70\Omega \] and 10 mA
done
clear
C)
\[820\Omega \] and 10 mA
done
clear
D)
\[820\Omega \] and 8 mA
done
clear
View Answer play_arrow
A container of a large uniform cross-sectional area A resting on a horizontal surface holds two immiscible, non-viscous and incompressible liquids of densities 'd' and '2d' each of height (1/2)H as shown. The smaller density liquid is open to atmosphere. A homogeneous solid cylinder of length \[L\left( <\frac{1}{2}H \right)\] cross-sectional area (1/5) A is immersed such that it floats with its axis vertical to the liquid-liquid interface with length (1/4) L in denser liquid. if D is the density of the solid cylinder then:
A)
\[D=\frac{3d}{2}\]
done
clear
B)
\[D=\frac{d}{2}\]
done
clear
C)
\[D=\frac{2d}{3}\]
done
clear
D)
\[D=\frac{5d}{4}\]
done
clear
View Answer play_arrow
A)
\[1\times {{10}^{9}}{{m}^{2}}/s\]
done
clear
B)
\[5\times {{10}^{9}}{{m}^{2}}/s\]
done
clear
C)
\[5\times {{10}^{8}}{{m}^{2}}/s\]
done
clear
D)
\[4\times {{10}^{15}}{{m}^{2}}/s\]
done
clear
View Answer play_arrow
A uniform triangular wedge of mass M is kept on smooth horizontal surface. A horizontal force F is applied on the wedge, then net force on the upper portion ABC is (AB = l/2 and neglect any effect of rotation)
A)
F/4
done
clear
B)
F/3
done
clear
C)
F
done
clear
D)
2F
done
clear
View Answer play_arrow
A)
\[\frac{\pi \ell }{12}\]
done
clear
B)
\[\frac{\ell }{2}\left( 1+\frac{\pi }{12} \right)\]
done
clear
C)
\[\frac{\ell }{2}\left( 1-\frac{\pi }{6} \right)\]
done
clear
D)
\[\frac{\ell }{2}\left( 1+\frac{\pi }{6} \right)\]
done
clear
View Answer play_arrow
A)
\[\frac{2{{a}^{2}}}{3a-b}\]
done
clear
B)
\[a-b\]
done
clear
C)
\[2a-b\]
done
clear
D)
\[a/b\]
done
clear
View Answer play_arrow
A)
\[{{d}^{5}}\] (in strong ligand field)
done
clear
B)
\[{{d}^{3}}\] (in weak as well as in strong fields)
done
clear
C)
\[{{d}^{4}}\](in weak ligand fields)
done
clear
D)
\[{{d}^{4}}\](in strong ligand fields)
done
clear
View Answer play_arrow
A)
2-ethoxypropane
done
clear
B)
ethoxypropane
done
clear
C)
Methoxybutane
done
clear
D)
2-methoxybutane
done
clear
View Answer play_arrow
A)
Reducing agent, oxidising agent
done
clear
B)
Reducing agent, reducing agent
done
clear
C)
Oxidising agent, oxidising agent
done
clear
D)
Oxidising agent, reducing agent
done
clear
View Answer play_arrow
A)
\[\operatorname{k}=\frac{1}{t}ln\left( \frac{{{P}_{\infty }}}{3\left( {{P}_{\infty }}-{{P}_{t}} \right)} \right)\]
done
clear
B)
\[\operatorname{k}=\frac{1}{t}ln\left( \frac{2{{P}_{\infty }}}{\left( {{P}_{\infty }}-{{P}_{t}} \right)} \right)\]
done
clear
C)
\[\operatorname{k}=\frac{1}{t}ln\left( \frac{3{{P}_{\infty }}}{2{{P}_{\infty }}-{{P}_{\operatorname{t}}}} \right)\]
done
clear
D)
\[\operatorname{k}=\frac{1}{t}ln\left( \frac{2{{P}_{\infty }}}{3\left( {{P}_{\infty }}-{{P}_{\operatorname{t}}} \right)} \right)\]
done
clear
View Answer play_arrow
A)
7, 6, 8
done
clear
B)
1, 0, 2
done
clear
C)
6, 6, 6
done
clear
D)
8, 6, 8
done
clear
View Answer play_arrow
In the following reactions, (i) (ii) \[\operatorname{A}\xrightarrow[in\,absence\,of\,peroxide]{HBr,dark}\underset{\left( major \right)}{\mathop{\operatorname{C}}}\,+\underset{\left( minoor \right)}{\mathop{\operatorname{D}}}\,\] The major product [A] and [C] are respectively:
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
View Answer play_arrow
A)
454
done
clear
B)
804
done
clear
C)
852
done
clear
D)
910
done
clear
View Answer play_arrow
The following mechanism has been proposed for the exothermic catalyzed complex reaction \[\operatorname{A}+BIAB\xrightarrow{{{k}_{1}}}\operatorname{AB}+I\xrightarrow{{{k}_{2}}}\operatorname{P}+A\] If \[{{k}_{1}}\], is much smaller than \[{{\operatorname{k}}_{2}}\] the most suitable qualitative plot of potential energy (P. E.) versus reaction co-ordinate (R.C.) for the above reaction
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
View Answer play_arrow
A)
\[y>x>z\]
done
clear
B)
\[z>x>y\]
done
clear
C)
\[z>y>x\]
done
clear
D)
\[y>z>x\]
done
clear
View Answer play_arrow
A)
done
clear
B)
done
clear
C)
done
clear
D)
done
clear
View Answer play_arrow
A)
0.12g
done
clear
B)
0.21 g
done
clear
C)
0.252g
done
clear
D)
0.3 g
done
clear
View Answer play_arrow
A)
By measurement of their conductivity
done
clear
B)
By titration method
done
clear
C)
By precipitation method with \[AgN{{O}_{3}}\]
done
clear
D)
By electrolysis of their aqueous solutions
done
clear
View Answer play_arrow
Formation of polyethylene from calcium carbide takes place as follows \[Ca{{C}_{2}}+2{{H}_{2}}O\xrightarrow{{}}Ca{{(OH)}_{2}}+{{C}_{2}}{{H}_{2}}\] \[{{C}_{2}}{{H}_{2}}+{{H}_{2}}\xrightarrow{{}}{{C}_{2}}{{H}_{4}}\] \[n{{C}_{2}}{{H}_{4}}\xrightarrow{{}}{{\left( -C{{H}_{2}}-C{{H}_{2}}- \right)}_{n}}\] The amount of polyethylene obtained from 64.1 kg of \[Ca{{C}_{2}}\]is
A)
7 kg
done
clear
B)
14 kg
done
clear
C)
21 kg
done
clear
D)
28 kg
done
clear
View Answer play_arrow
A)
100 mL 0.1 M HCl+100mL 0.1 M KCl
done
clear
B)
100 mL 0.1M \[{{H}_{2}}S{{O}_{4}}\]+100 mL 0.1M NaOH
done
clear
C)
100 mL 0.1M\[{{\operatorname{CH}}_{3}}COOH\]+100mL 0.1M KOH
done
clear
D)
50 mL 0.1M HCl+50mL 0.1 M \[C{{H}_{3}}COONa\]
done
clear
View Answer play_arrow
A)
0.85 K
done
clear
B)
-3.53K
done
clear
C)
0 K
done
clear
D)
-0.38K
done
clear
View Answer play_arrow
Consider the following reaction: \[M{{X}_{4}}+X{{'}_{2}}\xrightarrow{{}}M{{X}_{4}}X{{'}_{2}}\]
If atomic number of M is 52 and X and X' are halogens and X' is more electronegative than X. Then choose correct statement regarding given information:
A)
Both X' atoms occupy axial positions which are formed by overlapping of p and \[d\]-orbitals only
done
clear
B)
All M - X bond lengths are identical in both \[{{\operatorname{MX}}_{4}}\] and \[{{\operatorname{MX}}_{4}}X'{{ }_{2}}\] compounds
done
clear
C)
Central atom 'M' does not use non-axial set of \[d\]-orbital in hybridization of final product.
done
clear
D)
Hybridization of central atom 'M' remains same in both reactant and final product.
done
clear
View Answer play_arrow
A)
3-methylpentene-2
done
clear
B)
3-methylpentene-3
done
clear
C)
3-methylhexene-3
done
clear
D)
3-ethylpentene-3
done
clear
View Answer play_arrow
A)
\[{{[Fe{{(CN)}_{6}}]}^{4-}}>{{[MnC{{l}_{4}}]}^{2-}}>{{[CoC{{l}_{4}}]}^{2-}}\]
done
clear
B)
\[{{[MnC{{l}_{4}}]}^{2-}}>{{[Fe{{(CN)}_{6}}]}^{4-}}>{{[CoC{{l}_{4}}]}^{2-}}\]
done
clear
C)
\[{{[MnC{{l}_{4}}]}^{2-}}>{{[CoC{{l}_{4}}]}^{2-}}>{{[Fe{{(CN)}_{6}}]}^{4-}}\]
done
clear
D)
\[{{[Fe{{(CN)}_{6}}]}^{4-}}>{{[CoC{{l}_{4}}]}^{2-}}>{{[MnC{{l}_{4}}]}^{2-}}\] (Atomic nos.: Mn=25, Fe=26, Co=27)
done
clear
View Answer play_arrow
A)
Urea
done
clear
B)
benzamide
done
clear
C)
Acetamide
done
clear
D)
thiourea
done
clear
View Answer play_arrow
A)
4.95 g, 0.8 A
done
clear
B)
5.5g, 0.9A
done
clear
C)
4.76 g, 0.8 A
done
clear
D)
5.85 g, 0.5 A
done
clear
View Answer play_arrow
A)
Bird
done
clear
B)
Wind
done
clear
C)
Water
done
clear
D)
Insects
done
clear
View Answer play_arrow
A)
N-glycosidic Bond
done
clear
B)
Phosphodiester bond
done
clear
C)
Hydrogen bond
done
clear
D)
Disulfide bond
done
clear
View Answer play_arrow
A)
Ammonia
done
clear
B)
\[NO_{3}^{-}\]
done
clear
C)
Glutamate3
done
clear
D)
\[NO_{2}^{-}\]
done
clear
View Answer play_arrow
A)
Cycas
done
clear
B)
Equisetum
done
clear
C)
Psilotum
done
clear
D)
Pinus
done
clear
View Answer play_arrow
A)
Frutose 1, 6-bisphosphate
done
clear
B)
Pyruvic acid
done
clear
C)
Acetyl CoA
done
clear
D)
Glucose-6-phosphate
done
clear
View Answer play_arrow
A)
Pseudomonas
done
clear
B)
Bacillus
done
clear
C)
Methanogens
done
clear
D)
Cyanobacteria
done
clear
View Answer play_arrow
A)
ATP synthesis
done
clear
B)
DNA synthesis
done
clear
C)
Protein synthesis
done
clear
D)
Protein glycosylation
done
clear
View Answer play_arrow
A)
Conidia
done
clear
B)
Gemmule
done
clear
C)
Megaspore
done
clear
D)
Meiocyte
done
clear
View Answer play_arrow
A)
Kinetochore
done
clear
B)
Bivalent
done
clear
C)
Axoneme
done
clear
D)
Equatorial plate
done
clear
View Answer play_arrow
A)
In digesting proteins and carbohydrates
done
clear
B)
As energy transferring organelles
done
clear
C)
In post translational modification of proteins and glycosidation of lipids
done
clear
D)
In trapping the light and transforming it into chemical energy
done
clear
View Answer play_arrow
Match column I with column II Column - I Column - II A. Smack P. Erythroxylon Coca B. Morphine Q. Sedative & Painkiller C. Cannabinoids R. Diacetylmorphine D. Crack S. Marijuana
A)
A\[\to \]P, B\[\to \]S, C\[\to \]Q, D\[\to \]R
done
clear
B)
A\[\to \]R, B\[\to \]Q, C\[\to \]S, D\[\to \]P
done
clear
C)
A\[\to \]R, B\[\to \]S, C\[\to \]P, D\[\to \]Q
done
clear
D)
A\[\to \]R, B\[\to \]Q, C\[\to \]P, D\[\to \]Q
done
clear
View Answer play_arrow
A)
done
clear
B)
Interstitial cell Leydig cells
done
clear
C)
Follicular phase Secretory phase
done
clear
D)
Spermatogonia Male germs cell
done
clear
View Answer play_arrow
Match column I with column II A. IUDS I. Absence of menstruation B. Condoms II. Lippes loop, Cu-T, multiload 375 C. Lactational III. Made of thin rubber/latex Amenorrhea D. Saheli IV. Oral contraceptive
A)
A-I, B-III, C-II, D-IV
done
clear
B)
A-III, B-I, C-II, D-IV
done
clear
C)
A-II, B-III, C-I, D-IV
done
clear
D)
A-I, B-II, C-III, D-IV
done
clear
View Answer play_arrow
A)
Defence mechanisms of body
done
clear
B)
Osmotic balance of body fluid
done
clear
C)
Oxygen transport in the blood
done
clear
D)
Clotting of blood
done
clear
View Answer play_arrow
A)
Physiological & inflammatory barrier
done
clear
B)
Lymphocyte
done
clear
C)
Erythrocytes
done
clear
D)
NK-cells
done
clear
View Answer play_arrow
Match column I with column II Column-I Column-II A. Kwashiorkor i. Iron B. General Anaemia ii. Biotin C. Dermatitis iii. Protien D. Pellegra iv. Niacin
A)
A\[\to \]iv, B\[\to \]i, C\[\to \]ii, D\[\to \]iii
done
clear
B)
A\[\to \]ii, B\[\to \]i, C\[\to \]iii, D\[\to \]iv
done
clear
C)
A\[\to \]iii, B\[\to \]i, C\[\to \]ii, D\[\to \]iv
done
clear
D)
A\[\to \]i, B\[\to \]iii, C\[\to \]ii, D\[\to \]iv
done
clear
View Answer play_arrow
A)
Peroxidase
done
clear
B)
Polymerase
done
clear
C)
Ligase
done
clear
D)
Endonuclease
done
clear
View Answer play_arrow
A)
I\[\to \]M; II\[\to \]P; III\[\to \]N; IV\[\to \]O
done
clear
B)
I\[\to \]P; II\[\to \]M; III\[\to \]N; IV\[\to \]O
done
clear
C)
I\[\to \]N; II\[\to \]P; III\[\to \]O, IV\[\to \]M
done
clear
D)
I\[\to \]P; II\[\to \]O, III\[\to \]N; IV\[\to \]M
done
clear
View Answer play_arrow
A)
The young ones are left on their own
done
clear
B)
The young ones are protected by a thick shell
done
clear
C)
The young ones are protected inside the mother's body and are looked after they are born leading to more chances of survival
done
clear
D)
The embryo takes a long time to develop
done
clear
View Answer play_arrow
A)
560 c.c.
done
clear
B)
900 c.c.
done
clear
C)
1,300 c.c.
done
clear
D)
1,000 c.c.
done
clear
View Answer play_arrow
A)
\[(-2,3,5)\]
done
clear
B)
\[(4,-1,7)\]
done
clear
C)
\[(2,1,3)\]
done
clear
D)
\[(4,1,-2)\]
done
clear
View Answer play_arrow
A)
\[\frac{21}{19}\]
done
clear
B)
\[\frac{19}{21}\]
done
clear
C)
\[\frac{22}{23}\]
done
clear
D)
\[\frac{23}{22}\]
done
clear
View Answer play_arrow
A)
\[509.5\]
done
clear
B)
\[586.5\]
done
clear
C)
\[582.5\]
done
clear
D)
\[507.5\]
done
clear
View Answer play_arrow
A)
exists and equals\[\frac{4}{7}.\]
done
clear
B)
exists and equals 4.
done
clear
C)
does not exist.
done
clear
D)
exists and equals 0.
done
clear
View Answer play_arrow
A)
third
done
clear
B)
second
done
clear
C)
first
done
clear
D)
fourth
done
clear
View Answer play_arrow
A)
\[\frac{1}{12}(7\pi +5)\]
done
clear
B)
\[\frac{1}{12}(7\pi -5)\]
done
clear
C)
\[\frac{3}{20}(4\pi -3)\]
done
clear
D)
\[\frac{3}{10}(4\pi -3)\]
done
clear
View Answer play_arrow
A)
\[\frac{x+3}{3}=\frac{4-y}{3}=\frac{z+1}{-2}\]
done
clear
B)
\[\frac{x-4}{1}=\frac{y-5}{1}=\frac{z-5}{-1}\]
done
clear
C)
\[\frac{x-1}{1}=\frac{y-3}{2}=\frac{z+4}{-5}\]
done
clear
D)
\[\frac{x-2}{2}=\frac{y-3}{2}=\frac{z+3}{3}\]
done
clear
View Answer play_arrow
Let \[{{a}_{1}},{{a}_{2}},{{a}_{3}},...{{a}_{10}}\] be in G.P. with\[{{a}_{i}}>0\]for\[i=1,\]\[2,....,10\] and S be the set of pairs \[(r,k),r,k\in N\] (the set of natural numbers) for which \[\left| \begin{matrix} {{\log }_{e}}a_{1}^{r}a_{2}^{k} & {{\log }_{e}}a_{2}^{r}a_{3}^{k} & {{\log }_{e}}a_{3}^{r}a_{4}^{k} \\ {{\log }_{e}}a_{4}^{r}a_{5}^{k} & {{\log }_{e}}a_{5}^{r}a_{6}^{k} & {{\log }_{e}}a_{6}^{r}a_{7}^{k} \\ {{\log }_{e}}a_{7}^{r}a_{8}^{k} & {{\log }_{e}}a_{8}^{r}a_{9}^{k} & {{\log }_{e}}a_{9}^{r}a_{10}^{k} \\ \end{matrix} \right|=0\] Then the number of elements in S, is:
A)
\[4\]
done
clear
B)
infinitely many
done
clear
C)
\[2\]
done
clear
D)
\[10\]
done
clear
View Answer play_arrow
A)
\[7:1\]
done
clear
B)
\[5:3\]
done
clear
C)
\[9:7\]
done
clear
D)
\[3:1\]
done
clear
View Answer play_arrow
A)
\[\frac{\sqrt{5}}{6}\]
done
clear
B)
\[\frac{1}{3}\sqrt{\frac{7}{3}}\]
done
clear
C)
\[\frac{1}{6}\sqrt{\frac{7}{3}}\]
done
clear
D)
\[\frac{1}{2}\]
done
clear
View Answer play_arrow
A)
\[\frac{{{q}^{2}}}{\pi {{\varepsilon }_{0}}r}\]
done
clear
B)
\[\frac{{{q}^{2}}}{4\pi {{\varepsilon }_{0}}r}\]
done
clear
C)
\[\frac{{{q}^{2}}}{8\pi {{\varepsilon }_{0}}r}\]
done
clear
D)
\[\frac{{{q}^{2}}}{16\pi {{\varepsilon }_{0}}r}\]
done
clear
View Answer play_arrow
A)
V/8 volts
done
clear
B)
V/4 volts
done
clear
C)
4V volts
done
clear
D)
8V volts
done
clear
View Answer play_arrow
A)
\[{{v}_{2}}>{{v}_{1}};{{t}_{2}}<{{t}_{1}}\]
done
clear
B)
\[{{v}_{2}}={{v}_{1}};{{t}_{2}}<{{t}_{1}}\]
done
clear
C)
\[{{v}_{2}}<{{v}_{1}};{{t}_{2}}>{{t}_{1}}\]
done
clear
D)
\[{{v}_{2}}={{v}_{1}};{{t}_{2}}={{t}_{1}}\]
done
clear
View Answer play_arrow
Figure shows a metal ball of mass 50 kg and radius \[\frac{2}{\sqrt{\pi }}m\] is placed on an insulating uncharged stand, in space an upward electric field \[5\times {{10}^{5}}N/C\] is switched on. A stream of light ions is incident on the ball from left side at a speed \[2\times {{10}^{6}}m/s\] shown in figure. If charge on ball at \[t=0\] was zero, find the time in seconds at which ball will be lifted from the stand. The charge density of ion beam is \[5\times {{10}^{-12}}coul/{{m}^{3}}\]. Assume that all charge incident on the ball is absorbed.
A)
10 sec.
done
clear
B)
15 sec.
done
clear
C)
20 sec.
done
clear
D)
25 sec.
done
clear
View Answer play_arrow
A particle is projected from point A, that is at a distance 4R from the centre of the earth, with speed \[{{V}_{1}}\] in a direction making \[30{}^\circ \] with the line joining the centre of the earth and point A, as shown. Find the speed \[{{V}_{1}}\] if particle grazes the surface of the earth as shown in figure. Consider gravitational interaction only between these two. \[(use\,\,\frac{GM}{R}=6.4\times {{10}^{7}}{{m}^{2}}/{{s}^{2}})\]
A)
\[4\sqrt{2}\,km/s\]
done
clear
B)
\[3\sqrt{2}\,km/s\]
done
clear
C)
\[6\sqrt{2}\,km/s\]
done
clear
D)
\[5\sqrt{2}\,km/s\]
done
clear
View Answer play_arrow
A)
\[2\times {{10}^{9}}\,years\]
done
clear
B)
\[4\times {{10}^{9}}\,years\]
done
clear
C)
\[6\times {{10}^{9}}\,years\]
done
clear
D)
\[8\times {{10}^{9}}\,years\]
done
clear
View Answer play_arrow
A)
\[2\sqrt{\frac{2\,\,r\,\,T}{{{\varepsilon }_{0}}}}\]
done
clear
B)
\[8\,\,\pi \,\,r\,\,\sqrt{2\,\,r\,\,T\,\,{{\varepsilon }_{0}}}\]
done
clear
C)
\[8\,\,\pi \,\,r\,\,\sqrt{r\,\,T\,\,{{\varepsilon }_{0}}}\]
done
clear
D)
\[8\,\,\pi \,\,r\,\,\sqrt{\frac{2\,\,r\,\,T}{{{\varepsilon }_{0}}}\,\,}\]
done
clear
View Answer play_arrow
In the shown figure a battery (ideal) is joined between terminals A and B having EMF=E. Find the current supplied by the battery :
A)
\[\frac{8E}{R}\]
done
clear
B)
\[\frac{8E}{3R}\]
done
clear
C)
\[\frac{4E}{R}\]
done
clear
D)
\[\frac{4E}{3R}\]
done
clear
View Answer play_arrow
A rod of length 1000 mm and co-efficient of linear expansion \[a={{10}^{-4}}\] per degree is placed symmetrically between fixed walls separated by 1001 mm. The Young's modulus of the rod is \[{{10}^{11}}\text{ }N/{{m}^{2}}\]. If the temperature is increased by \[20{}^\circ C\,\], then the stress developed in the rod is (in\[N/{{m}^{2}}\]):
A)
10
done
clear
B)
\[{{10}^{8}}\]
done
clear
C)
\[2\times {{10}^{8}}\]
done
clear
D)
cannot be calculated
done
clear
View Answer play_arrow
A ring of radius R having a linear charge density \[\lambda \] moves towards a solid imaginary sphere of radius \[\frac{R}{2}\], so that the centre of ring passes through the centre of sphere. The axis of the ring is perpendicular to the line joining the centres of the ring and the sphere. The maximum flux through the sphere in this process is:
A)
\[\frac{\lambda R}{{{\in }_{0}}}\]
done
clear
B)
\[\frac{\lambda R}{2{{\in }_{0}}}\]
done
clear
C)
\[\frac{\lambda \pi R}{4{{\in }_{0}}}\]
done
clear
D)
\[\frac{\lambda \pi R}{3{{\in }_{0}}}\]
done
clear
View Answer play_arrow
Based on the given diagram, the correct statements regarding the homogenous solutions of two volatile liquids is (1) Plots AD and BC show that Raoult's law is obeyed for the solution in which B is a solvent and A is the solute and as well as for that in which A is solvent and B is solute. (2) Plot CD shows that Dalton's law of partial pressures is obeyed by the binary solution of components A and B. (3) EF + EG = EH; and AC and BD correspond to the vapour pressures of the pure solvents A and B respectively.
A)
Only 1
done
clear
B)
2 and 3
done
clear
C)
1 and 3
done
clear
D)
All Statements are correct
done
clear
View Answer play_arrow
A)
\[8.68\times {{10}^{8}}{{\operatorname{M}}^{-1}}{{\operatorname{s}}^{-1}}\]
done
clear
B)
\[2.16\times {{10}^{7}}{{\operatorname{M}}^{-1}}{{\operatorname{s}}^{-1}}\]
done
clear
C)
\[4.34\times {{10}^{8}}{{\operatorname{M}}^{-1}}{{\operatorname{s}}^{-1}}\]
done
clear
D)
\[3.34\times {{10}^{8}}{{\operatorname{M}}^{-1}}{{\operatorname{s}}^{-1}}\]
done
clear
View Answer play_arrow
A)
Fe metal and cone. \[HN{{O}_{3}}\]
done
clear
B)
Cu metal and cone. \[HN{{O}_{3}}\]
done
clear
C)
Zn metal and \[NaOH\text{ }(aq)\]
done
clear
D)
Au metal and \[NaCN\text{ }(aq)\] in the presence of air
done
clear
View Answer play_arrow
For the following molecules: \[PC{{l}_{5}},Br{{F}_{3}},ICl_{2}^{-},XeF_{5}^{-},NO_{3}^{-},Xe{{O}_{2}}{{F}_{2}},PCl_{4}^{+},CH_{3}^{+}\]
Calculate the value of \[\frac{(a+b)}{c}\]
a = Number of species having \[s{{p}^{3}}d\]-hybridisation
b = Number of species which are planar
c = Number of species which are non-planar
A)
2
done
clear
B)
4
done
clear
C)
3
done
clear
D)
5
done
clear
View Answer play_arrow
A)
\[\frac{\frac{13}{3}\pi \operatorname{r}_{-}^{3}+\frac{16}{3}\pi \operatorname{r}_{+}^{3}}{8{{\left( {{\operatorname{r}}_{+}}+{{\operatorname{r}}_{-}} \right)}^{3}}}\]
done
clear
B)
\[\frac{\frac{13}{3}\pi \operatorname{r}_{-}^{3}+\frac{4}{3}\pi \operatorname{r}_{+}^{3}}{8{{\left( {{\operatorname{r}}_{+}}+{{\operatorname{r}}_{-}} \right)}^{3}}}\]
done
clear
C)
\[\frac{\frac{16}{3}\pi \operatorname{r}_{-}^{3}+\frac{13}{3}\pi \operatorname{r}_{+}^{3}}{8{{\left( {{\operatorname{r}}_{+}}+{{\operatorname{r}}_{-}} \right)}^{3}}}\]
done
clear
D)
\[\frac{\frac{4}{3}\pi \operatorname{r}_{-}^{3}+\frac{13}{3}\pi \operatorname{r}_{+}^{3}}{8{{\left( {{\operatorname{r}}_{+}}+{{\operatorname{r}}_{-}} \right)}^{3}}}\]
done
clear
View Answer play_arrow
A)
Be, Al
done
clear
B)
Al, Be
done
clear
C)
Be, Ca
done
clear
D)
Mg, Ca
done
clear
View Answer play_arrow
A)
2
done
clear
B)
3
done
clear
C)
4
done
clear
D)
5
done
clear
View Answer play_arrow
A)
65.86
done
clear
B)
70.86
done
clear
C)
75.45
done
clear
D)
79.25
done
clear
View Answer play_arrow
A)
done
clear
B)
done
clear
C)
done
clear
D)
Reaction not possible
done
clear
View Answer play_arrow
A)
\[75\times {{10}^{-13}}\]
done
clear
B)
\[75\times {{10}^{-12}}\]
done
clear
C)
\[7.5\times {{10}^{-12}}\]
done
clear
D)
\[7.5\times {{10}^{-13}}\]
done
clear
View Answer play_arrow
A)
Reduced chlorophyll
done
clear
B)
Proton gradient
done
clear
C)
Coxidised chlorophyll
done
clear
D)
ATP
done
clear
View Answer play_arrow
A)
2-celled stage
done
clear
B)
3-celled stage
done
clear
C)
4-celled stage
done
clear
D)
1-celled stage
done
clear
View Answer play_arrow
A)
3 : 1
done
clear
B)
1: 2 : 1
done
clear
C)
2 : 1 : 1
done
clear
D)
9 : 3 : 3 : 1
done
clear
View Answer play_arrow
A. \[\frac{X}{A}=1\] B. \[\frac{X}{A}>more\,\,than\,\,1\] C. \[\frac{X}{A}=0.5\] Here, X = number of X-chromosome A = set of autosomal pair Choose the correct option for A, B and C result.
A)
A\[-\]female, B\[-\]meta female, C\[-\]male
done
clear
B)
A\[-\]female, B\[-\]meta female, C\[-\]female
done
clear
C)
A\[-\]female, B\[-\]female, C\[-\]male
done
clear
D)
A\[-\]meta female, B\[-\]female, C\[-\]male
done
clear
View Answer play_arrow
A)
Insertion
done
clear
B)
Change in single base pair
done
clear
C)
Duplication
done
clear
D)
Deletion
done
clear
View Answer play_arrow
A)
Wheat and rice
done
clear
B)
Wheat and rye
done
clear
C)
Wheat and aegilops
done
clear
D)
Rice and maize
done
clear
View Answer play_arrow
A)
\[3.3\times {{10}^{7}}\,\,bp\]
done
clear
B)
\[3.3\times {{10}^{8}}\,\,bp\]
done
clear
C)
\[3.3\times {{10}^{9}}\,\,bp\]
done
clear
D)
\[3.3\times {{10}^{10}}\,\,bp\]
done
clear
View Answer play_arrow
A)
Exons end exons are joined
done
clear
B)
Introns end exons are joined
done
clear
C)
Exons only
done
clear
D)
Intron only
done
clear
View Answer play_arrow
A)
Regulator
done
clear
B)
Promoter
done
clear
C)
Operator
done
clear
D)
Structural genes
done
clear
View Answer play_arrow
A)
Ligase
done
clear
B)
Polymerase
done
clear
C)
Helicase
done
clear
D)
Reverse transcriptase
done
clear
View Answer play_arrow