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Consider the following two statements: 1) Kirchoff's junction law follows from the conservation of charge 2) Kirchoff's loop law follows from the conservation of energy. Which of the following is correct? A. both 1 and 2 are wrong B. 1 is correct and 2 is wrong C. 1 is wrong and 2 is correct D. both 1 and 2 are correct
3
Physics
Match the columns i. amount of light entering into eye a. rodes controlled by ii. colour sensing cells b. cones iii.cells helping in vision in dim light c. iris d. iv.junction of optic nerve and retina \( \quad \) blindspot \( A \cdot i-a, i i-b, i i i-c, i v-d \) B. \( i-d, i i-c, i i i-b-i v-a \) \( \mathbf{C} \cdot \mathbf{i}-\mathrm{c}, \mathrm{i} \mathbf{i}-\mathrm{b}, \mathrm{i} \) ii-a, \( \mathrm{iv}-\mathrm{d} \) D. i-b,ii-a,iii-c,iv-b
3
Physics
As per Census 2011 , India has \( 2.4 \% \) of world's land area and is home to of the total world population. \( A \). \( 23.1 \% \) B . 10.5\% c. \( 17.5 \% \) D. 12.8\%
0
Biology
The Fermi level in intrinsic semi- conductors at \( 0 K \) temperature lies: A. Near the conduction band B. Near the valence band C. In the middle of valence and conduction band D. Inside the conduction band
3
Physics
Find the surface area of the hemisphere whose radius is \( 7 \mathrm{cm} \)
2
Maths
Earthly particles in an ore are removed from heavier metal ore using water in: This question has multiple correct options A. levigation B. hydraulic washing c. leaching D. gravity separation
1
Chemistry
In rectangle \( A B C D, \) diagonal \( B D=26 \mathrm{cm} \) and cotangent of angle \( A B D=1.5 . \) Flnd the area and the perimeter of the rectangle ABCD A. Area = 436 sq. cm and perimeter = \( 11 \sqrt{13} \mathrm{cm} \) B. Area = 842 sq. cm and perimeter = \( 15 \sqrt{13} \mathrm{cm} \) c. Area \( =312 \) sq. \( \mathrm{cm} \) and perimeter \( =20 \sqrt{13} \mathrm{cm} \) D. Area = 231 sq. cm and perimeter = \( 12 \sqrt{13} \mathrm{cm} \)
2
Maths
How many times is the weight of the air filling a room in winter \( \left(7^{0} C\right) \) greater than weight in summer \( \left(37^{0} C\right) \) ? Assume that pressure is constant. A . 1.1 B. 0.90 c. 11.1 D. 9.0
3
Physics
Points are to be recognised on X-Y plane to draw graph of equation \( 2 x+3 y=12 \) So fill the boxes given below and identify points. \begin{tabular}{|c|c|c|c|c|} \hline\( x \) & \( -2 . \) & 3 & 6 & \( \square \) \\ \hline\( y \) & 4 & \( \square \) & \( \square \) & 6 \\ \hline\( (x, y) \) & \( \square \) & \( \square \) & \( \square \) & \\ \hline \end{tabular}
2
Maths
The equilibrium of the reaction \( N_{2}(g)+3 H_{2}(g) \Leftrightarrow 2 N H_{3}(g) \) will shift to the product side when A. Concentration of \( N_{2} \) is increased B. Concentration of \( N_{2} \) is decreased c. concentration of \( N H_{3} \) is increased D. concentration of \( H_{2} \) is decreased
1
Chemistry
An artificial satellite is revolving round the earth. The radius of its circular orbit is half the orbital radius of moon. The time taken by this satellite in completing one revolution will be A. 2 lunar months B \( \cdot 2^{-2 / 3} \) lunar months \( \mathrm{c} \cdot 2^{-3 / 2} \) lunar months D. \( 1 / 2 \) lunar months
3
Physics
Nucleic acids are called acids mainly because of the presence of A. \( -C O O H \) group B. - OH group of sugar unitt c. \( -O H \) group of the heterocyclic base D. - OH group of phosphate unitt
1
Chemistry
Why plastic sulphur is elastic in nature?
1
Chemistry
Find the sum of bond order and number of \( \pi \) bonds in \( B_{2} \) molecule.
1
Chemistry
Metal oxide can be reduced by A . \( F e \) в. \( S n \) \( c . c \) D. All of these
1
Chemistry
Open circulatory system occurs in A. Octopus B. Pheretima c. Periplaneta D. Rana
0
Biology
What is the time required for the same amount of water to flow out if the water level in tank is maintained always at a height of \( 1 m \) from orifice?
3
Physics
Number of moles of \( 1 m^{3} \) gas, at \( \mathrm{STP} \) are: A . 44.6 B. 40.6 c. 42.6 D. 48.6
1
Chemistry
Evaluate the following limits. \( \lim _{x \rightarrow 0}(\cos x+\sin x)^{1 / x} \)
2
Maths
An emulsion is a colloidal solution of: A . two solids B. two liquids c. two gases D. one solid and liquid
1
Chemistry
Find the slope of the line passing through the points \( G(-4,5) \) and \( \boldsymbol{H}(-\mathbf{2}, \mathbf{1}) \)
2
Maths
Which of the following devices is used to detect the presences of a charge on a body? A. Multimeter B. Electroscope c. Angiogram D. Microscope
3
Physics
\( n s^{1} \) electronic configuration is not present in: \( A \cdot A g \) в. мп \( c \cdot c r \) D. cu
1
Chemistry
Find the values of \( x \) and \( y \) in the following figures A \( . x=80^{0} ; y=120 \) В . \( x=50^{0} ; y=30^{0} \) C . \( x=50^{\circ} ; y=130^{\circ} \) D . \( x=20^{0} ; y=10^{0} \)
2
Maths
A toroid has a core (non -ferromagnetic) of inner radius \( 25 \mathrm{cm} \) and outer radius \( 26 \mathrm{cm}, \) around which 3500 turns of a wire are wound. If the current in the wire is \( 11 A, \) what is the magnetic field (a) outside the toroid, (b) inside the core of the toroid, and (c) in the empty space surrounded by the toroid.
3
Physics
From the given figure calculate: ¡) \( \angle A D C \) ii) \( \angle A B C \) iii) \( \angle B A C \)
2
Maths
The smallest number by which 3600 can be divided to make it a perfect cube is: \( A \cdot 9 \) B. 50 \( c .300 \) D. 450
2
Maths
The term water-pollution can be defined in several ways. Which of the following statements does not give the correct definition? A. The addition of undersirable substances to water bodies B. The removal of dersirable substances from water bodies c. A change in pressure of the water bodies. D. A change in temperature of the water bodies
1
Chemistry
Aluminum hydroxide is used for: A. fire extinguishers B. antacid C . water purification D. all of the above
1
Chemistry
Green house effect means A. Increase in the temperature of earth due to high concentration of \( \mathrm{NO}_{2} \) B. Increase in the temperature of earth due to high concentration of \( \mathrm{SO}_{2} \) C. Increase in the temperature of earth due to high concentration of CO D. Increase in the temperature of earth due to high concentration of \( \mathrm{CO}_{2} \)
0
Biology
The process of removing dissolved impurities from a colloidal system by means of diffusion through suitable membrane under the influence of an electric field is called: A . electro-osmosis B. electrodialysis c. electrophoresis D. peptization
1
Chemistry
The liquid or solid on the surface of which the molecule of the substance are adsorbed is called adsorbate. If this is true enter 1 , if false enter 0 .
1
Chemistry
The electric current in a circular coil of two turns produced a magnetic induction of \( 0.2 \mathrm{T} \) at its centre. The coil is unwound and then rewound into a circular coil of four turns. If same current flows in the coil, the magnetic induction at the centre of the coil now is: A. \( 0.2 T \) в. \( 0.4 \mathrm{T} \) \( c .0 .65 \) D. 0.8 T
3
Physics
Aspirin is known as: A. Acetyl salicylic acid B. Phenyl salicylate C . Acetyl salicylate D. Methyl salicylic acid
1
Chemistry
Which one of the following compounds has the electron-pair geometry as di trigonal bipyramidal with three equatorial positions occupied by lone pairs of electrons? \( \mathbf{A} \cdot\left[A l C l_{3}\right] \) в. \( X e F_{2} \) \( \mathbf{c} \cdot\left[P t\left(N H_{3}\right)_{2} C l_{2}\right] \) D. \( C H_{3}-M g-B r \)
1
Chemistry
Find the sum of the following APs: \( 0.6,1.7,2.8, \dots \dots \) to 100 terms A. 5475 B. 5505 \( c \cdot 6589 \) D. 3844
2
Maths
A survey conducted on 20 household in a locality by a group of statement resulted in the following frequency table for the number of family Members in a house hold. Family size \( \begin{array}{ccc}1- & 3- & 5 \\ 3 & 5 & 7\end{array} \) Number of families Find the mode of the data.
2
Maths
Find the amount and the compound interest on Rs.120000 at 8\% per annum for 1 year, compounded half-yearly.
2
Maths
Which of the following will give \( S_{N} \) reaction? A. \( R-B r \) в. \( R-N_{3} \) c \( \cdot R-O_{H_{2}}^{\oplus} \) D. All
1
Chemistry
The twinkling of stars is due to atmospheric A. Refraction of light B. Reflection of light c. scattering of light D. Dispersion of light
3
Physics
1.0 g of magnesium is burnt with 0.56 g \( O_{2} \) in a closed vessel. Which reactant is left in excess and how much ? (At.wt. \( \mathrm{Mg}=24 ; 0=16) \) A. \( \mathrm{Mg}, 0.16 \mathrm{g} \) в. \( O_{2}, 0.16 \mathrm{g} \) c. \( \mathrm{Mg}, 0.44 \mathrm{g} \) D. \( O_{2}, 0.28 \mathrm{g} \)
1
Chemistry
Match column I with column II and select the correct answer using the codes given below: Column I \( \quad \) Column (A) \( \frac{14}{6} C \) and \( _{6}^{13} C \) (p) Different number of neutrons (B) 40 20 \( \mathrm{Ca} \) and \( _{18}^{40} \boldsymbol{A r} \) (q) Different number of protons and neutrons (C) \( \boldsymbol{K}(\mathbf{1} \mathbf{9}) \) (r) Non-metal (D) Chlorine (17) (s) Metal \( A \cdot A-(p) ; B-(q) ; C-(r) ; D-(s) \) B. \( A-(q) ; B-(p) ; C-(s) ; D-(r) \) c. \( A-(p) ; B-(q) ; C-(s) ; D-(r) \) \( D \cdot A-(p) ; B-(s) ; C-(q) ; D-(r) \)
1
Chemistry
Silver is removed electrolytically from \( 200 m L \) of a \( 0.1 N \) solution of \( A g N O_{3} \) by a current of 0.1 A. How long will it take to remove half of the silver from the solution? A . \( 0.1 s \) B. \( 100 s \) \( \mathbf{c} .965 s \) D. \( 9650 s \)
1
Chemistry
Which of the following is least volatile? \( \mathbf{A} \cdot H F \) в. \( H C l \) \( \mathbf{c} \cdot H B r \) D. \( H I \)
1
Chemistry
A neuron transmits information through A. Electrical signals B. Chemical signals c. Both A and B D. None of the above
0
Biology
Concentrated \( H_{2} S O_{4} \) cannot be used to prepare \( H B r \) from \( N a B r \) because it A. reacts slowly with NaBr B. oxidises HBr c. reduces HBr D. disproportionates HBr
1
Chemistry
Which of the following is the most basic? \( \mathbf{A} \cdot C e(O H)_{3} \) в. \( L u(O H)_{3} \) \( \mathbf{c} \cdot Y b(O H)_{3} \) D. \( A l(O H)_{3} \)
1
Chemistry
\( A \) and \( B \) are two events on a sample space \( S \) such that \( P(A)=0.8, P(B)= \) \( \mathbf{0 . 6} \) and \( \boldsymbol{P}(\boldsymbol{A} \cup \boldsymbol{B})=\mathbf{0 . 9} \) find \( (\boldsymbol{A} \cap \boldsymbol{B}) \) A . 0.3 B. 0.4 \( c \cdot 0.5 \) D. 0.6
2
Maths
The least vlue of the function \( f(x)= \) \( \boldsymbol{a x}+\frac{\boldsymbol{b}}{\boldsymbol{x}}(\boldsymbol{a}>\mathbf{0}, \boldsymbol{b}>\mathbf{0}, \boldsymbol{x}>\mathbf{0}) \) is
2
Maths
The commonly used pain reliever, aspirin, has the molecular formula \( C_{9} H_{8} O_{4} . \) If a sample of aspirin contains \( 0.968 g \) of carbon, what is the mass of hydrogen in the sample? A \( .0 .717 g \) в. \( 0.0717 g \) c. \( 8.000 g \) D. \( 0.645 g \)
1
Chemistry
An object moving with a speed of 6.25 \( \mathrm{m} / \mathrm{s}, \) is decelerated at a rate given by \( \frac{d v}{d t}=-2.5 \sqrt{v} \) where \( v \) is the instantaneous speed. The time taken by the object, to come to rest, would be then \( \mathbf{A} \cdot 2 s \) B . \( 4 s \) c. \( 8 s \) D. \( 1 s \)
3
Physics
The moles of oxygen and carbondioxide involved in glycolysis are respectively: A .4,6 в. 4,4 c. 6,6 D. 8,6
1
Chemistry
Write the differences between convex and concave lens.
3
Physics
Solve: \( \tan \left(\cos ^{-1} \frac{1}{x}\right)=\sin \left(\cot ^{-1} \frac{1}{x}\right) \)
2
Maths
Answer the following questions for Zn atom: How many electrons have \( l-m=1 ? \)
1
Chemistry
A wheel has moment of inertia \( 5 x \) \( 10^{-3} k g m^{2} \) and is making 20 rev/sec. The torque needed to stop it in 10 sec is \[ \mathbf{x} \mathbf{1 0}^{-\mathbf{2}} \mathbf{N}-\boldsymbol{m}: \] A . \( 2 \pi \) в. \( 2.5 \pi \) c. \( 4 \pi \) D. \( 4.5 \pi \)
3
Physics
Light of two different frequencies whose photos have energies leV and 2.5eV respectively illuminate a metallic surface whose work function is \( 0.5 e v \) successively. Ratio of maximum speeds of emissions will be \( A \cdot 1: 4 \) B. 1: \( c \cdot 1: \) D. 1:
3
Physics
Match the Following:
1
Chemistry
If the frequency of a transverse wave is \( 10 H z . \) And the distance between the two consecutive wave crests is \( 2 m \) Calculate the wave speed.
3
Physics
It is chemisorption if chemical forces exist between adsorbate and adsorbent. A. True B. False
1
Chemistry
Which quantity of a two particles system depend only on the separation between the two particles? A. Kinetic energy B. Total mechanical energy c. Potential energy D. Both (A) and (B)
3
Physics
A wheel is rotating at 1800 rpm about its own axis. When the power is switched oft it comes to rest in 2 min. Then, the angular retardation in rad \( s^{-1} \) is \( \mathbf{A} \cdot 2 \pi \) в. \( \pi \) c. \( \pi / 2 \) D . \( \pi / 4 \) E . \( \pi / 6 \)
3
Physics
The compounds whose structures are shown below would have: A. different melting points B. the same melting point C . equal but opposite optical rotations D. none of these
1
Chemistry
The non-protein component in enzymes, which is necessary for its biological activity, is called: A . nucleic acid B. lipid c. phosphoric acid D. coenzyme
1
Chemistry
Name the following compounds. (i) (ii) (iii) \( \mathrm{H}_{3} \mathrm{C}-\mathrm{C}=\mathrm{CH} \) (iv) (v) \( \mathrm{H}_{6} \mathrm{C}-\mathrm{C} \equiv \mathrm{C}-\mathrm{CH} \)
1
Chemistry
State whether the given statement is true or false: Copper metal reduces \( F e^{2+} \) in an acid medium.
1
Chemistry
Consider the following statements and arrange in the order of true/false as given in the codes. \( S_{1}: \) Change in state function between two states is a definite quantity and does not depend on path. \( S_{2}: \) Intensive properties cannot be algebraically added or subtracted. \( S_{3}: \) Ratio of two extensive properties result in a parameter that depends on the amount of substance. \( S_{4}: \) Molar heat capacity is a state function. The correct order to true/false of the above statements is: \( A \). FT FT B. FF FT c. TT FT D. TTTF
1
Chemistry
Compared to the first ionization potential, the value of second ionization potential of an element is: A. Negligible B. Smaller c. Greater D. Double
1
Chemistry
A solution containing \( 25.6 g m \) of sulphur dissolved in \( 1000 g \) of naphthalene gave a freezing point lowering of 0.680 , then molecular formula of sulphur is: \( A \cdot S_{2} \) в. \( S_{4} \) c. \( S_{6} \) D. \( S_{8} \)
1
Chemistry
A dip needle in a plane perpendicular to magnetic meridian will be : A. Vertical B. Horizontal C. At an angle of \( 4^{\circ} \) to the horizontal D. At an angle of dip to the horizontal
3
Physics
\( \underbrace{\frac{2}{k}}{\frac{k}{k}} \)
3
Physics
Which one of the following is not a correct match? A. Teflon- Tetrafluoroethylene B. Plexi glass - Methyl methacrylate c. orlon - Glycerol, phthalic anhydride D. Buna-S- - Styrene, 1-3 butadiene
1
Chemistry
In the following reaction, the correct statements are: \( M g+2 H^{+} \rightarrow M g^{2+}+H_{2} \) 1. \( M g \) is a reducing agent, \( H^{+} \) is an oxidising agent 2. \( M g \) is oxidising agent, \( H^{+} \) is a reducing agent. A. only 1 B. only 2 c. both D. none
1
Chemistry
The tenth term of the series 9,8,7,6 \( \ldots . \) is
2
Maths
Find the values of the following determinants where \( i=\sqrt{-1} \) \( (i)\left|\begin{array}{cc}2 i & -3 i \\ i^{3} & -2 i^{5}\end{array}\right| \) \( (i i)\left|\begin{array}{cc}\mathbf{1}+\mathbf{3} i & \boldsymbol{i}-\mathbf{2} \\ \boldsymbol{i}+\mathbf{2} & \mathbf{1}-\mathbf{3} i\end{array}\right| \)
2
Maths
The high reactivity and low volatility of white phosphorus is due to : A. Tetrahedrally arranged \( P_{4} \) units B. bonds angle of \( 60^{\circ} \) c. weak van der Waal's force of attraction D. increased steric (strain) factor
1
Chemistry
A mass \( m_{1} \) moves with a grate velocity. It strikes another mass \( m_{2} \) at rest in head-on collision. It comes back along its path with low speed after collision. Then : \( \mathbf{A} \cdot m_{1}>m_{2} \) В. \( m_{1}<m_{2} \) \( \mathbf{c} \cdot m_{1}=m_{2} \) D. there is no relation between \( m_{1} \) and \( m_{2} \)
3
Physics
A mass of \( 5 \mathrm{kg} \) is suspended on a spring of stiffness \( 4000 \mathrm{N} / \mathrm{m} \). The system is fitted with a damper with a damping ratio of 0.2. The mass is pulled down 50 \( \mathrm{mm} \) and released. Calculate the displacement after 0.3 sec: \( \mathbf{A} \cdot 4.07 \mathrm{mm} \) в. \( 4.7 \mathrm{mm} \) \( c .7 .4 \mathrm{mm} \) D. 7.04 mm
3
Physics
Match the List I with the List II.
2
Maths
Which of the following is not an oligosaccharide? A. Xylose B. Maltose c. Raffinose D. stachyrose
1
Chemistry
Give scientific name of Cabagge. Name the family to which it belongs.
0
Biology
The statement form \( (\boldsymbol{p} \Leftrightarrow \boldsymbol{r}) \Rightarrow(\boldsymbol{q} \Leftrightarrow \boldsymbol{r}) \) is equivalent to \( \mathbf{A} \cdot[(\sim p \vee r) \wedge(p \vee \sim r)] \vee \sim[(\sim q \vee r) \wedge(q \vee \sim r)] \) \( \mathbf{B} \cdot \sim[(\sim p \vee r) \wedge(p \vee \sim r)] \wedge[(\sim q \vee r) \vee(q \vee \sim r)] \) \( \mathbf{c} \cdot[(\sim p \vee r) \wedge(\sim p \vee \sim r)] \wedge[(\sim q \vee r) \wedge(q \vee \sim r)] \) \( \mathbf{D} \cdot \sim[(\sim p \vee r) \wedge(p \vee \sim r)] \wedge[(\sim q \vee r) \wedge(q \vee \sim r)] \)
2
Maths
Borax is used as cleansing agent because on dissolving in water it gives A. alkaline solution B. acidic solution c. bleaching solution D. colloidal solution
1
Chemistry
The following is the frequency distribution of time (in minutes) a worker takes to complete the work. Find mean time taken by a worker to complete the work by using 'Assumed Mean Method'. \begin{tabular}{ll} Time (in minutes) & No. of Workers \\ \( 20-24 \) & 2 \\ \( 25-29 \) & 10 \\ \( 30-34 \) & 20 \\ \( 35-39 \) & 28 \\ \( 40-44 \) & 25 \\ \( 45-49 \) & 15 \\ \hline \end{tabular}
2
Maths
n the figure, \( \angle P Q S=\angle P R T \) and \( \mathrm{QS}=\mathrm{TR} . \) then \( \Delta P Q S \cong \Delta P R T \mathrm{by} \) congruence postulate \( A \cdot \operatorname{sas} \) B. sss \( c . \) RHS D. AAS
2
Maths
Find the sum of the following infinite G.P.: \( \frac{1}{3}, \frac{-2}{9}, \frac{4}{27}, \frac{-8}{81}, \dots \) A \( \cdot \frac{1}{2} \) B. \( c \cdot \frac{1}{3} \) D.
2
Maths
Why welders generally wear mask during welding?
3
Physics
Atomic weight of weight of an element is 30 its equivalent wt. is 10 The valency of element will be- \( A \) B. 2 \( c \cdot 3 \) D. 4
1
Chemistry
Let \( R \) be a reflexive relation on a finite set \( A \) having \( n \) elements, and let there be \( m \) ordered pairs in \( R, \) then: A \( . m \geq n \) в. \( m \leq n \) c. \( m=n \) D. \( m<n \)
2
Maths
Which of the following does has no \( S- \) \( \boldsymbol{S} \) bond? A \( \cdot H_{2} S_{2} O_{4} \) в. \( H_{2} S_{2} O_{5} \) \( \mathbf{c} \cdot H_{2} S_{2} O_{6} \) D. \( H_{2} S_{2} O_{7} \)
1
Chemistry
Match the following
2
Maths
Which statement is correct for alkaline earth metals? A. They are diatomic and form ions of the type \( M^{2} \) B. They are highly electronegative elements c. They are monoatomic in vapour state and form ions of the type \( M^{2+} \) D. They are diatomic and form ions of the type \( M^{2+} \)
1
Chemistry
Formation of periderm is the function of A. vascular cambium B. Cork cambium c. Both vascular and cork cambium D. None
0
Biology
The rank of the word \( N U M B E R \) obtained, if the letters of the word \( N U M B E R \) are written in all possible orders and these words are written out as in a dictionary is A .468 в. 469 c. 470 D. 471
2
Maths
In the reaction, \( A g_{2} O+H_{2} O_{2} \rightarrow \) \( 2 A g+H_{2} O+O_{2}, \) the \( H_{2} O_{2} \) acts as: A. oxidising agent B. bleaching agent c. acid D. reducing agent
1
Chemistry
In Aulosira, Tolypothrix and Nostoc, are the sites for nitrogen fixation A. Vesicles B. Arbuscles c. Akinetes D. Heterocysts
0
Biology
Which of the following combinations of combining atoms of elements gives rise to the strongest ionic bond? A. Sodium and iodine B. Sodium and chlorine c. Sodium and bromine D. Sodium and fluorine
1
Chemistry
In an electromagnetic wave, the direction of the magnetic induction \( \vec{B} \) is A. parallel to the electric field \( \vec{E} \) B. perpendicular to the electric field \( \vec{E} \) C . antiparallel to the pointing vector \( \vec{S} \vec{S} \) D. random
3
Physics
In an ideal parallel LC circuit, the capacitor is charged by connecting it to a D.C. source which is then disconnected. The current in the circuit A. Becomes zero instantaneously B. Grows monotonically c. Decays monotonically D. oscillates instantaneously
3
Physics
The solution of \( \int_{\sqrt{2}}^{x} \frac{d t}{\sqrt{t^{2}-1}}=\frac{\pi}{12} \) is A . B. 2 \( c \cdot 3 \) D. 4 E . 5
2
Maths