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A farmer has to go \( 500 m \) due north, \( 400 m \) due east and \( 200 m \) due south to reach his field. If he takes 20 minutes to reach the field. What is the average velocity of farmer during the walk? A. \( 25 m / \min \) в. \( 50 m / \min \) c. \( 55 m / \min \) D. \( 110 \mathrm{m} / \mathrm{min} \)
3
Physics
In major product, Chlorine is at which position? \( \mathbf{A} \) B. 2 \( c \cdot 3 \) \( D \cdot 4 \)
1
Chemistry
Assertion Fe is protected from corrosion by connecting Mg metal with it. Reason Fe acts as cathode and Mg as anode which gradually disappears. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct
1
Chemistry
Teeth that are different in shape, size and function are called as A. Acrodont B. Pleurodont c. Homodont D. Heterodont
0
Biology
Differentiate the following w.r.t.x: \( 5^{x} \cdot \sec ^{-1} 2 x \)
2
Maths
The quantity which tells the distance an object travels in a certain time is called A. acceleration B. speedd c. velocity D. none of these
3
Physics
Coordination number of Ni in \( \left[N i\left(C_{2} O_{4}\right)_{3}\right]^{4-} \) is: \( A \cdot 3 \) B. 6 \( c \cdot 4 \) D.
1
Chemistry
Which one does not occur in Cockroach leg? A. Tibia B. Femur c. Fibula D. coxa
0
Biology
Which of the following statements is incorrect? A. Cassiterite is an oxide ore of tin. B. Tin metal is obtained by the carbon reduction of black tin (purified ore of tin) C. In the extraction of lead from galena, the roasting and self-reduction are carried out in the same furnace at different temperatures. D. Reducing agent of hematite in blase-furnace is coke in the upper part and \( \mathrm{CO} \) in the lower part of the furnace.
1
Chemistry
Which is correct? \( \mathbf{A} \cdot t_{1}=t_{2} \) B \( \cdot t_{1}>t_{2} \) \( \mathbf{C} \cdot t_{1}<t_{2} \) D. Depends upon the mass
3
Physics
Common name of chloroethene is: A. Benzyl chloride B. Vinyl chloride c. Allyl bromide D. none of these
1
Chemistry
Three simple harmonic motions in the same direction having the same amplitude \( A \) and same period are superposed. If each differs in phase from the next by \( 45^{0}, \) then A . the resulting amplitude is \( (1+\sqrt{3}) A \) B. the resulting motion is not simple harmonic C. The energy associated with the resulting motion \( (3+ \) \( 2 \sqrt{2} \) ) times the energy associated with any single motion D. The phase of the resultant motion relative to the first is \( 90^{\circ} \)
3
Physics
Pressure is a scalar quantity because A. it is the ratio of force to area and both force and area are vectors B. it is the ratio of the magnitude of the force to area. C. it is the ratio of the component of the force normal to the area. D. it depends on the size of the area chosen.
3
Physics
The balancing structures in medusae of cnidarians are A. Otoliths B. Statoliths c. statocysts D. None of the above
0
Biology
The "geocenter" of two positive numbers is defined as the positive square root of their product. If the geocenter of 5 and \( x \) is \( 9, \) calculate the value of \( x \) A . 6.7 в. 7.0 c. 11.3 D. 13.0 E . 16.2
2
Maths
The nuclei of which one of the following pairs of nuclei are isotones: \( A \cdot_{34} \mathrm{Se}^{74},_{31} \mathrm{Ga}^{71} \) B \( \cdot_{38} \mathrm{Sr}^{84},_{38} \mathrm{Sr}^{86} \) C \( \cdot_{42} \mathrm{Mo}^{92},_{40} \mathrm{Zr}^{9} \) D. \( _{20} \mathrm{Ca}_{2}^{40},_{16} \mathrm{S}^{32} \)
1
Chemistry
All of these will directly or indirectly reduce the contribution to greenhouse gases except A. Encouraging the use of public transportation B. Walking C. Biking D. Increasing the cost of car ownership and fuel costs E. Creating car-free zones
0
Biology
Ethanol is heated with excess concentrated \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \) at \( 443 \mathrm{K} \) i) Name the reaction that occurs and explain it. ii) Write the equation for the above reaction. iii) What is the product formed? What happens when this gas is passed through bromine water? iv) When ethanol vapour is passed through bromine water, why does no change occur?
1
Chemistry
Given the sequence of numbers \( \boldsymbol{x}_{1}, \boldsymbol{x}_{2}, \boldsymbol{x}_{3}, \ldots \ldots . . \boldsymbol{x}_{2013} \) which satisfies \( \frac{\boldsymbol{x}_{\mathbf{1}}}{\boldsymbol{x}_{\mathbf{1}}+\mathbf{1}}=\frac{\boldsymbol{x}_{\mathbf{2}}}{\boldsymbol{x}_{\mathbf{2}}+\mathbf{3}}=\frac{\boldsymbol{x}_{\mathbf{3}}}{\boldsymbol{x}_{\mathbf{3}}+\mathbf{5}}=\dots \dots \) \( \frac{x_{2013}}{x_{2013}+4025}, \) nature of the sequence is A . A.P в. \( G . P \) c. \( H . P \) D. A.G.P
2
Maths
The wavelength of light of a particular colour is 5800 A. What is its order of magnitude in meter?
3
Physics
Why is it important for plants to scatter seeds? A. To avoid overcrowding which results in unhealthy plants B. To prevent the seeds from becoming parasites to the parent plants c. To ensure that plants of a particular type will be spread to new places D. Both A and C
0
Biology
If \( \boldsymbol{A}=\{\boldsymbol{p}, \boldsymbol{q}, \boldsymbol{r}, \boldsymbol{s}\}, \boldsymbol{B}=\{\boldsymbol{r}, \boldsymbol{s}, \boldsymbol{t}, \boldsymbol{u}\}, \) then \( \boldsymbol{A} / \boldsymbol{B} \) is: \( A \cdot(p, q) \) \( B \cdot\{r, s\} \) c. \( \{t, u\} \) D. \( \{p, q, t, u\} \)
2
Maths
Two liquids \( A \) and \( B \) form an ideal solution. What is the vapour pressure of solution containing 2 moles of \( A \) and 3 moles of \( B \) at \( 300 K ? \) [Given: At \( 300 K \), vapour pressure of pure liquid \( \boldsymbol{A}\left(\boldsymbol{P}_{A}^{\circ}\right)=\mathbf{1 0 0} \) torr, Vapour pressure of pure liquid \( B\left(P_{B}^{\circ}\right)= \) \( 300 \text { tor } r] \) A. 200 torr B. 220 torr c. 180 tor D. None of these
1
Chemistry
How many of following are electrophile? \( \boldsymbol{C H}_{3}, \stackrel{\oplus}{\boldsymbol{N}} \boldsymbol{H}_{4}, \boldsymbol{H}_{3} \boldsymbol{O}^{\oplus}, \boldsymbol{C} \boldsymbol{O}_{2}, \boldsymbol{S} \boldsymbol{O}_{3}, \boldsymbol{C} \stackrel{\ominus}{\boldsymbol{H}}_{3} \)
1
Chemistry
State True or False. \( C O_{2} \) is a polar molecule but not have polar bond A. True B. False
1
Chemistry
The two compounds \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C} \|_{2}-\boldsymbol{C H}_{2}- \) \( \boldsymbol{C H}_{3} \) and \( \boldsymbol{C H}_{3}-\stackrel{\boldsymbol{O} \|}{\boldsymbol{C}}-\underbrace{\boldsymbol{C H}_{3}}_{\mid \boldsymbol{C H}_{3}}-\boldsymbol{C H}_{3} \) may be considered as: A. position isomers B. metamers c. stereoisomers D. tautomers
1
Chemistry
Red phosphorus is less reactive than yellow phosphorus because A. It is red in colour B. It is highly polymerised C. It is insoluble in \( C_{2} H_{5} O H \) D. It is hard
1
Chemistry
For the properties mentioned, the correct trend for the different species is : A. inert pair effect - \( A l>G a>I n \) B. first ionization enthalpy \( -B>A l>T l \) C . strength as Lewis acid - \( B C l_{3}>A l C l_{3}>G a C l_{3} \) D. oxidising property \( -A l^{+3}>I n^{+3}>T l^{+3} \)
1
Chemistry
In male grasshoppers and moths, there are two pairs of autosomes and A. \( x \) only B. x and c. Y only D. None of the above
0
Biology
\( \ln \Delta A B C, \) D is a point on BC such that \( A B=A D=B D=D C \). then \( \angle A D C: \angle C=4: 1 \) State whether the above statement is true or false. A. True B. False
2
Maths
Eliminate the arbitrary constants and obtain the differential equation satisfied by it: \( \boldsymbol{y}=\left(\frac{\boldsymbol{a}}{\boldsymbol{x}^{2}}\right)+\boldsymbol{b} \boldsymbol{x} \) A \( \cdot x^{2} y^{\prime \prime}+2 x y^{\prime}-2 y=0 \) B . \( x^{2} y^{\prime \prime}+2 x^{2} y^{\prime}-2 y=0 \) C \( \cdot x^{2} y^{\prime \prime}+2 x y^{\prime}+2 x y=0 \) D. \( x^{2} y^{\prime \prime}-2 x y^{\prime}+2 x y=0 \)
2
Maths
A circular current carrying coil has a radius \( R \). The distance from the centre of the coil on the axis where the magnetic induction will be \( \left(\frac{1}{8}\right)^{t h} \) of its value at the centre of the coil is A \( \cdot \frac{R}{\sqrt{3}} \) в. \( R \sqrt{3} \) с. \( 2 R \sqrt{3} \) । D. \( \left(\frac{2}{\sqrt{3}}\right)^{R} \)
3
Physics
In the Molisch reagent the substance used is: A. \( \beta \) naphthol in alchol B. \( \alpha \) naphthol in alchol c. Reasrcinol in alchol D. Rosaniline in water
1
Chemistry
Find the ratio of magnetic dipole moment to angular momentum in a hydrogen like atom: A \( \cdot \frac{e}{m} \) B. \( \frac{e}{2 m} \) c. \( \frac{e}{3 m} \) D. \( \frac{2 e}{m} \) E \( \cdot \frac{3 e}{m} \)
3
Physics
The number of straight lines which are equally inclined to both the axes is ; A . 4 B. \( c \cdot 3 \) \( D \)
2
Maths
Evaluate the integral \( \int_{0}^{1}\left(3 x^{2}+2 x\right) d x \)
2
Maths
In a n-type semiconductor, which of the following statement is true? A. Electrons are majority carriers and trivalent atoms are dopants B. Electron are minority carriers and pentavalent atoms are dopants. C. Holes are minority carriers and pentavalent atoms are dopants. D. Holes are majority carriers and trivalent atoms are dopants
3
Physics
A point charge \( -q \) is carried from a point \( A \) to another point \( B \) on the axis of a charged ring of radius 'r' carrying a charge \( +q / \) If the point \( A \) is at \( a \) distance \( \frac{4}{3} r \) from the centre of the ring and the point \( \mathrm{B} \) is \( \frac{3}{4} r \) from the centre but on the opposite side, what is the net work that need to be done for this? \( ^{\mathrm{A}} \cdot-\frac{7}{5} \frac{q^{2}}{4 \pi \varepsilon_{0} r} \) В. \( -\frac{1}{5} \frac{q^{2}}{4 \pi \varepsilon_{0} r} \) c. \( \frac{q^{2}}{54 \pi \varepsilon_{0} r} \) D. \( \frac{q^{2}}{54 \pi \varepsilon_{e} r} \)
3
Physics
\( \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \sin ^{2} x \cdot \cos ^{3} x d x \) is equal to A. \( \frac{4 \pi}{30} \) B. \( \frac{4}{15} \) c. \( \frac{\pi}{30} \) D. \( \frac{1}{15} \)
2
Maths
Acidified solution of \( K_{2} C r_{2} O_{7} \) on treatment with \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) yields: A. \( C r O_{3}+H_{2} O+O_{2} \) в. \( C r_{2} O_{2}+H_{2} O+O_{2} \) \( \mathrm{c} \cdot \mathrm{Cr} \mathrm{O}_{5}+\mathrm{H}_{2} \mathrm{O}+\mathrm{K}_{2} \mathrm{SO}_{4} \) D. \( H_{2} C r_{2} O_{7}+H_{2} O+O_{2} \)
1
Chemistry
For a given distance from a current element, the magnetic induction is maximum at an angle measured with respect to axis of the current. The angle is : A \( \cdot \frac{3 \pi}{4} \) B. \( \frac{\pi}{4} \) c. \( \frac{\pi}{2} \) D. \( 2 \pi \)
3
Physics
Derive van't Hoff general solution equation.
1
Chemistry
There are following extraction process of silver but not: A. as a side product in electrolytic refining of copper B. Parke's process in which Zn is used to extract silver by solvent extraction from molten lead C. by reaction of silver sulphide with \( K C N \) and then reaction of soluble complex with \( \mathrm{Zn} \). D. by heating \( N a\left[A g(C N)_{2}\right] \)
1
Chemistry
The IUPAC name of the following compound is: \( \begin{aligned} \boldsymbol{C}_{2} \boldsymbol{H}_{5}-& \underset{\|}{\boldsymbol{C}}-\boldsymbol{C} \boldsymbol{H}-\boldsymbol{C} \boldsymbol{H}_{3} \\ & \boldsymbol{C H}_{2} \quad \boldsymbol{C} \boldsymbol{H}_{3} \end{aligned} \) A. 3-methyl-2-ethylbut-1-yne B. 2-ethyl-3-methylbut-1-ene c. 3-ethyl-3-methylbutene D. ethylisopropylethane
1
Chemistry
Aradhya buys \( 9,000 K g \) potatoes for Rs.15 per Kg. She dries it for chips. The chips becomes one-third of the total weight. She sells the chips for Rs.50 per Kg. How much money will she get as profit?
2
Maths
Select the basic strength order of following molecules. A. \( I I I>I I>I \) B. \( I I>I I I>I \) \( c . I>I I I>I I \) D. \( I I I>I>I I \)
1
Chemistry
The moon revolves round the earth 13 times in one year. If the ratio of sunearth distance to earth-moon distance is \( 392, \) then the ratio of masses of sun and earth will be A . 365 B. 356 c. \( 3.56 \times 10^{5} \) D.
3
Physics
One hundred identical coins, each with probability, \( p, \) of showing up heads are tossed once. If \( 0<p<1 \) and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of \( p \) is: \( A \cdot \frac{1}{2} \) в. \( \frac{49}{101} \) c. \( \frac{50}{101} \) D. \( \frac{51}{101} \)
2
Maths
Cod liver oil is: A. fat dispersed in water B. water dispersed in fat C . water dispersed in oil D. fat dispersed in fat
1
Chemistry
Assertion \( f \) is a function defined on the interval [-1,1] such that \( f(\sin 2 x)=\sin x+ \) \( \cos x \) Statement I: If \( \boldsymbol{x} \in\left[-\frac{\boldsymbol{\pi}}{\boldsymbol{4}}, \frac{\boldsymbol{\pi}}{\boldsymbol{4}}\right], \) then \( f\left(\tan ^{2} x\right)=\sec x \) Reason Statement II: \( \boldsymbol{f}(\boldsymbol{x})=\sqrt{\mathbf{1}+\boldsymbol{x}}, \forall \boldsymbol{x} \in \) [-1,1] A. Statement I is true, Statement II is also true: Statement II is the correct explanation of Statement B. Statement I is true, Statement II is also true Statement II is not the correct explanation of Statement c. statement lis true, statement II is false D. statement lis false, statement II is true
2
Maths
Dry hydrogen can oxidise copper oxide to form copper metal. A . True B. False
1
Chemistry
Which among the following is a rational number? A. \( \sqrt{2} \) в. \( \sqrt{\pi} \) \( c \cdot \sqrt{7} \) D. \( \sqrt{\frac{5}{25}} \) E \( \cdot \sqrt{\frac{64}{49}} \)
2
Maths
The least stable hydride is: A . \( N H_{3} \) в. \( P H_{3} \) c. \( A s H_{3} \) D. \( S b H_{3} \)
1
Chemistry
An adaptation in the structure and function of loop of Henle to xerophytic environment is A. A short loop of Henle, which allows more filtrate to be removed from the blood B. A short loop of Henle, which allows less water to be removed from the filtrate C. A long loop of Henle, which allows more filtrate to be removed from the blood D. A long loop of Henle, which allows more water to be removed from the filtrate E. A long loop of Henle, which allows less filtrate to be removed from the blood
0
Biology
The oil layer on the surface of water appears coloured, due to interference. For this effect to be visible the thickness of oil layers will be A . \( 1 m m \) B. \( 1 c m \) c. \( 100 A^{\circ} \) D. \( 1000 A^{\circ} \)
3
Physics
A square is a A. kite B. trapezium C . triangle D. rhombus
2
Maths
For a triangle \( A B C, \) the true statement is: A \( \cdot A C^{2}=A B^{2}+B C^{2} \) B. \( A C=A B+B C \) c. \( A C>A B+B C \) D. \( A C<A B+B C \)
2
Maths
Which of the following is true? A. The electron density in the xy-plane in 3d \( _{x y} \) orbital si zero B. The electron densities in the xy and xz-plane in 3d \( _{y z} \) orbital are zero C. The electron density in the xy-plane in \( 3 d_{x}^{2} \) orbital is zero D. Pauli exclusion principle is followed by bosons which have integral spin
1
Chemistry
Hormone involved in breaking dormancy of winter buds is A. Ethylene B. Gibberellin c. Auxin D. Cytokinin
0
Biology
Sodium bicarbonate solution has \( \boldsymbol{p} \boldsymbol{H} \) less than 7 . State True or False: A. True B. False c. cannot be determined D. None of the above
1
Chemistry
A line that intersects a circle at two distinct points is called A . a diameter B. a secant c. a tangent D. a radius
2
Maths
Mr. Verma (50 \( K g \) ) and Mr. Mathur \( (60 K g) \) are sitting at the two extremes of a \( 4 m \) long boat \( (40 K g) \) standing still in water. To discuss a mechanics problem, they come to the middle of the boat. Neglecting friction with water, how far does the boat move in the water during the process: A \( .40 / 3 c m \) в. \( 20 / 3 \) ст c. \( 10 / 3 c m \) D. \( 10 \mathrm{cm} \)
3
Physics
A man is unable to see closer than \( 1 \mathrm{m} \) clearly.The power of lenses of his spectacles should be to see nearby object. \( A \cdot 3 D \) B. 6 D \( c \cdot 10 \) D. 2
3
Physics
The number of seats for admission is increased by \( 10 \% \) every year. If the number of seats in 2001 was \( 400, \) what were the number of seats in 2003? A. 824 B. 484 \( c .500 \) D. 480
2
Maths
During laboratory preparation of oxygen by hydrogen peroxide and potassium chlorate, the gas is collected by displacement of water A. downward, upward c. downward
1
Chemistry
What is \( \sin ^{2} 20^{\circ}+\sin ^{2} 70^{\circ} \) equal to? \( \mathbf{A} \cdot \mathbf{1} \) B. 0 \( c \cdot-1 \) D.
2
Maths
The bond energy of \( C-C \) bond in kcal/mol is? A . 58 B. 83 \( c .145 \) D. 192
1
Chemistry
Which of the following reactions does not occur? A \( \cdot F_{2}+2 C l^{-} \rightarrow 2 F^{-}+C l_{2} \) B. \( C l_{2}+2 F^{-} \rightarrow 2 C l^{-}+F_{2} \) c. \( B r_{2}+2 I^{-} \rightarrow 2 B r^{-}+I_{2} \) D. \( C l_{2}+2 B r^{-} \rightarrow 2 C l^{-}+B r_{2} \)
1
Chemistry
Give reasons of the following: \( N_{2} O_{5} \) is more acidic than \( N_{2} O_{3} \)
1
Chemistry
Primary circuit of potentio meter is as shown in the diagram find potentia gradient.
3
Physics
\( \boldsymbol{n} \stackrel{L t}{\rightarrow} \infty\left[\frac{\boldsymbol{n}+\mathbf{1}}{\boldsymbol{n}^{2}+\mathbf{1}^{2}}+\frac{\boldsymbol{n}+\boldsymbol{2}}{\boldsymbol{n}^{2}+\mathbf{2}^{2}}+\ldots+\right. \) \( \left.\frac{\boldsymbol{n}+\boldsymbol{n}}{\boldsymbol{n}^{2}+\boldsymbol{n}^{2}}\right]= \) A. \( \frac{\pi}{4}+\frac{1}{2} \log 2 \) B. \( \frac{\pi}{4}-\frac{1}{2} \log 2 \) c. \( \frac{\pi}{2}+\frac{1}{2} \log 2 \) D. \( \frac{\pi}{4}+\frac{1}{4} \log 2 \)
2
Maths
The solution of the equation \( \frac{d y}{d x}+ \) \( \boldsymbol{x}(\mathbf{2} \boldsymbol{x}+\boldsymbol{y})=\boldsymbol{x}^{3}(\boldsymbol{2} \boldsymbol{x}+\boldsymbol{y})^{3}-\boldsymbol{2} \) is \( (C \) being arbitrary constant): A \( \cdot \frac{1}{2 x+x y}=x^{2}+1+C e^{x} \) B. \( \frac{1}{(2 x+y)^{2}}=x^{2}+1+C e^{x^{2}} \) c. \( \frac{1}{2 x+y}=x+1+C e^{-x^{2}} \) D. \( \frac{1}{(2 x+y)^{2}}=x^{2}+1+C \)
2
Maths
Who coined the term ecosystem? A. Tansley B. Odum c. Warming D. Darwin
0
Biology
Two ideal junction diodes \( D_{1}, D_{2} \) are connected as shown in the figure. A \( 3 V \) battery is connected between \( A \) and \( B \) The current supplied by the battery, if its positive terminal is connected to B is A \( .0 .15 ~ A \) в. 0.3 А \( c .3 A \) D. 1.4
3
Physics
Assertion Divalent compounds of alkaline earth metals are diamagnetic. Reason \( M^{2+} \) ions of group 2 have noble gas conguration. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect
1
Chemistry
Mention the types of solutions based on the \( p H \) value.
1
Chemistry
Where must an object be placed in front of a convex lens so that the image formed is at infinity?
3
Physics
Find the derivative of the following functions: (i) \( \tan x \cos x \) (ii) \( \sec x \)
2
Maths
Assertion Excess nitrate in drinking water causes blue baby' syndrome. Reason The maximum limit of nitrate in drinking water is 50 ppb. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect
0
Biology
The tendency of a body to resist acceleration is called: A. Force B. Retardation c. Inertia D. mass
3
Physics
Explain the following reactions: (i) Reimer-Tiemann reaction (ii) Williamson synthesis
1
Chemistry
The strongest - \( \mathrm{CO} \) bond is present in: A \( \cdot\left[C r(C O)_{6}\right]^{+} \) в \( \cdot\left[F e(C O)_{5}\right] \) \( \mathbf{c} \cdot\left[V(C O)_{6}\right]^{-} \) D. all have equal strength
1
Chemistry
When each term of a sequence is connected using \( a+ \) or \( a-\operatorname{sign}, \) then it is referred to as the of numbers A. Series B. Progression c. Arithmetic Progression D. Geometric Prpgression
2
Maths
ff \( y=2 \tan ^{-1} x+\sin ^{-1} \frac{2 x}{1+x^{2}} \) then A. \( -\pi / 2<y<\pi / 2 \) в. \( -3 \pi / 2<y<3 \pi / 2 \) c. \( -\pi<y<\pi \) D. \( -\pi / 4<y<\pi / 4 \)
2
Maths
A ball thrown upwards at an angle describes \( -\ldots- \) motion A . curvilinear B. rectilinear c. periodic D. oscillatory
3
Physics
the pressure exerted by atmosphere is \( ? \) A. large B. small c. zero D. none of the above
3
Physics
The net charge on a condenser is : A . infinity B. \( 9 / 2 \) \( c \cdot 29 \) D. zero
3
Physics
The point lying on angle bisector of the planes \( \boldsymbol{x}+\mathbf{2} \boldsymbol{y}+\mathbf{2} \boldsymbol{z}-\mathbf{6}=\mathbf{0} \) and \( \mathbf{2} \boldsymbol{x}- \) \( \boldsymbol{y}+\boldsymbol{4}=\mathbf{0} \) is A. (2,4,0) B. (-1,3,2) D. (-2,4,0)
2
Maths
Write the domain of the relation \( \boldsymbol{R} \) defined on the set \( \mathbb{Z} \) of integers as follows: \( (a, b) \in R \Leftrightarrow a^{2}+b^{2}=25 \)
2
Maths
If \( \boldsymbol{A}=\left[\begin{array}{ll}2 & 3 \\ 5 & 7\end{array}\right], \) then find \( A+A^{T} \)
2
Maths
What do you understand by the term Echo?
3
Physics
State whether true or false. Pure water is a good conductor of electricity. A. True B. False
3
Physics
One gram atom of an element contains \( 6.02 \times 10^{23} \) atoms. (a) Find the number of oxygen atoms in \( 4 g \) of \( O_{2} \) (b) Which is heavier, one oxygen atom or 10 hydrogen atoms?
1
Chemistry
What is the value of unknown resistance \( R \), of galvanometer shows null deflection in the given meter bridge set up shown in the fig? A \( .97 .50 \Omega \) 3. \( 105 \Omega \) \( c .220 \Omega \) \( 0.110 \Omega \)
3
Physics
Find the weight of a box on earth having a mass of \( 20 \mathrm{kg} \) \( A \cdot 196 N \) B. 19.6 N c. \( 1.96 \mathrm{N} \) D. 0.19 N
3
Physics
An aqueous solutions of diabasic acid (molecular mass \( =118 \) ) containing \( 35.4 \mathrm{g} \) of acid per litre of the solution has density \( 1.0077 g m L^{-1} \). Find the mole fraction of the solvent.
1
Chemistry
The heart of man beats 75 times a minute. What is its frequency?
3
Physics
A person looks into the mirror by placing it close to his face. if the image of the face was found erect and magnified, then the mirror must be A. plane B. concave c. convex D. none of these
3
Physics
The total number of possible isomer for the complex compound: \( \left[\boldsymbol{C u}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{4}\right]\left[\boldsymbol{P t} \boldsymbol{C l}_{4}\right] \) \( A \cdot 3 \) B. 6 \( c \cdot 5 \) \( D \)
1
Chemistry
A system goes from \( A \) to \( B \) in two processes I and II as shown in the fig. If \( \Delta U_{1} \) and \( \Delta U_{2} \) are the changes in internal energies in the processes I and II respectively then. A \( . \Delta U_{2}<\Delta U_{1} \) B \( . \Delta U_{2}>\Delta U_{1} \) C. Relation between \( \Delta U_{2} \) and \( \Delta U_{1} \) can not bedetermined D. \( \Delta U_{2}=\Delta U_{1} \)
3
Physics