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Q Type your question custom-built capacitor. The magnitude of charge on each plate for each separate voltage is recorded. The graph shows charge in micro-coulombs plotted against potential difference. Use the graph to answer the following two questions. What is the approximate capacitance, \( C, \) of this capacitor? And what is the electric potential operating range during which this device properly acts like a capacitor? A. \( C=60 \) micro-farads; Operating Range: \( 0-100 v \) B. \( C=60 \) micro-farads; Operating Range: \( 0-40 v \) c. \( C=2700 \) micro-farads; operating Range: \( 60-100 v \) D. \( C=40 \) micro-farads; Operating Range: \( 0-40 v \) E. \( C=0.017 \) micro-farads; operating Range: \( 0-40 \)
3
Physics
The largest number of the three consecutive number is \( x+1 \) then the smallest number is \( \mathbf{A} \cdot x+2 \) B. \( x+1 \) \( c \) D. \( x-1 \)
2
Maths
When an air bubble of radius \( r \) rises from the bottom to the surface of a lake, the radius becomes \( \frac{5 r}{4} . \) Taking the atmospheric pressure to be equal to 10 \( m \) height of water column, the depth of the lake would approximately be (ignore the surface tension and the effect of temperature): A . \( 11.2 m \) B. \( 8.7 m \) \( \mathbf{c} .9 .5 m \) D. \( 10.5 \mathrm{m} \)
3
Physics
Find the total surface area of a cuboid its length, breadth and height are \( 7 \mathrm{cm} \) \( 5 \mathrm{cm}, \) and \( 10 \mathrm{cm} \) respectively.
2
Maths
Glyptal or alkyl resin is a polymer of: A. ethylene glycol and phthalic acid B. ethylene and phthalic acid c. phthalic acid and acetylene
1
Chemistry
A black bear that eats berries and fish would be classified as A. A producer B. An omnivore c. A carnivore D. An herbivore E. An autotroph
0
Biology
Calculate the potential at a point due to a charge of \( 3 \times 10^{-9} C \) located \( 9 \times \) \( 10^{-2} m \) away from it.
3
Physics
When you heat a bowl of water, we can observe that water starts circulating. This demonstrates: A. conduction B. convection c. radiation D. none
3
Physics
Among the following which is used to control the rate of reaction in nuclear fission reactions? A. water B. Heavy water c. Cadmium D. Graphite
3
Physics
One mole of an ideal gas requires 207 J heat to raise the temperature by 10 K when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by the same \( 10 \mathrm{K} \), the heat required is A . \( 198.7 J \) B. \( 29 J \) c. \( 215.3 J \) D. 124J
1
Chemistry
Darwins finches are an excellent example of A. Adaptive radiation B. Seasonal migration c. Brood parasitism D. connecting links
0
Biology
Blue colour of wter in sea is due to A. refraction of blue light by impurities B. refraction blue sky by water C. scattering of light by water D. None of the above
3
Physics
Figure below shows a portion of an electric circuit with the currents in ampere and their directions. The magnitude and direction of the current in the portion \( \boldsymbol{P} \boldsymbol{Q} \) is: \( A \cdot 0 A \) B. \( 3 A \) from \( P \) to \( Q \) \( c .4 A \) from \( Q \) to \( P \) D. \( 6 A \) from \( Q \) to \( P \)
3
Physics
State the use of aluminum
1
Chemistry
Bioenergy is obtained from energy stored in biomass. A. chemical B. heat c. nuclear D. thermal
3
Physics
The molecular weight of \( O_{2} \) and \( N_{2} \) are 32 and 28 respectively. At \( 15^{0} C \), the pressure of \( 1 \mathrm{gm} \mathrm{O}_{2} \) will be the same as that of \( 1 \mathrm{gm} N_{2} \) in the same bottle at the temperature? A . \( -21^{0} C \) B. \( -13^{0} C \) \( \mathbf{c} \cdot 15^{0} C \) D. \( 56.4^{0} V \)
1
Chemistry
The growth of which group of bacteria will be slow in comparison to the others? A. Obligate aerobes B. obligate anaerobes c. Facultative aerobes D. Facultative anaerobes
0
Biology
Solve the differential equation \( \boldsymbol{x}+ \) \( y \frac{d y}{d x}=2 y \)
2
Maths
Find the electric flux crossing the wire frame \( A B C D \) of length \( I, \) width \( b, \) and center at a distance \( 0 P=d \) from an infinite line of charge with linear charge density \( \lambda \). Consider that the plane of the frame is perpendicular to the line OP Fig. A \( \cdot \frac{2 N}{\pi \varepsilon_{0}} \tan ^{-1}\left(\frac{b}{2 d}\right) \) B. \( \frac{N}{\pi \varepsilon_{0}} \tan ^{-1}\left(\frac{b}{2 d}\right) \) c. \( \frac{3 N}{\pi \varepsilon_{0}} \tan ^{-1}\left(\frac{7 b}{2 d}\right) \) D. \( \frac{N}{2 \pi \varepsilon_{0}} \tan ^{-1}\left(\frac{b}{2 d}\right) \)
3
Physics
In which of the following solution, \( A g C l \) has minimum solubility: A. \( 0.05 M A g N O_{3} \) в. \( 0.01 M \) Са \( C l_{2} \) c. \( 0.01 M \) NaCl D. \( 0.01 M N H_{4} O H \)
1
Chemistry
The gravitational potential at height \( h \) above the earth's surface is \( -5.12 \times \) \( 10^{7} \mathrm{J} / \mathrm{kg} \) and acceleration due to gravity at this point is \( 6.4 m s^{-2} . \) If radius of the earth is \( 6400 \mathrm{km} \), the value of h is : A. \( 1200 \mathrm{km} \) B. 1600 km c. \( 1800 \mathrm{km} \) D. 2400 km
3
Physics
Two lenses shown are illuminated by a beam of parallel light from the left. Lens \( B \) is then moved slowly toward lens \( A \) The beam emerging from lens \( B \) is A. Always diverging B. Initially parallel and then diverginggg c. Always paralle! D. Initially converging and then parallel
3
Physics
n fig sides QP and RQ of \( \Delta \) PQR are produced to the points \( \mathrm{S} \) and \( \mathrm{T} \) respectively. If \( \angle S P R=105^{\circ} \angle P Q T= \) \( 110^{\circ} \) then find \( \angle P R Q \) \( A \cdot 35 \) B. \( 70^{\circ} \) \( c .105 \) 0.140
2
Maths
Complete the equations given below. \( N a_{2} O+H_{2} O \rightarrow \)
1
Chemistry
A telephone cable at a place has four long straight horizontal wires carrying a current of \( 1.0 \mathrm{A} \) in the same direction east to west. The earth's magnetic field at the place is \( 0.39 \mathrm{G}, \) and the angle of dip is 35 ?35 ? . The magnetic declination is nearly zero. What are the resultant magnetic fields at points \( 4.0 \mathrm{cm} \) below the cable?
3
Physics
Some medicines are more effective in the colloidal form because of: A. the charged colloidal particles present in it B. the large surface area and easy assimilation C . precipitation of medicine in the blood D. the stabilisation of medicine in colloidal form
1
Chemistry
Consider quadratic equation \( a x^{2}+ \) \( (2-a) x-2=0, \) where \( a \in R \) If exactly one root is negative, then the range of \( a^{2}+2 a+5 \) is \( A \cdot[4, \infty) \) B \( \cdot[-2, \infty) \) c. \( (-\infty, 4] \) \( D \cdot(5, \infty) \)
2
Maths
A wave has wavelength \( 50 A^{\circ} . \) State the speed of wave in vacuum. A. \( 3 \times 10^{8} \mathrm{ms}^{-1} \) В \( \ldots 3 \times 10^{8} m s^{-1} \) \( \mathbf{c} \cdot\left\langle 3 \times 10^{8} m s^{-1}\right. \) D. Insufficient information
3
Physics
\( (a) C H_{3} C O N H_{2}+K O H \longrightarrow \) \( (b) C H_{3} C O O H+s o d a l i m e \longrightarrow \) \( (c) C H_{3} C O O A g+B r_{2} \longrightarrow \) All the three reactions show similarity in: A. Descending of carbon atoms B. Ascending of carbon atoms c. Both the above D. None of above
1
Chemistry
\( 56 g \) of nitrogen and \( 8 g \) of hydrogen gas are heated in a closed vessel. At equilibrium \( 34 g \) of ammonia is present. The equilibrium number of moles of nitrogen, hydrogen and ammonia are respectively: \( \mathbf{A} \cdot 1,2,2 \) в. 2,2,1 c. 1,1,2 D. 2,1,2
1
Chemistry
In which of the following pair, both the substances are chemically same? A. Milk of lime and lime water B. Dead burnt plaster and gypsumm C. Alumina and gypsum D. Gypsum and Plaster of Paris
1
Chemistry
The function \( \boldsymbol{f}:[\mathbf{2}, \infty) \rightarrow \boldsymbol{Y} \) defined by \( f(x)=x^{2}-4 x+5 \) is both one-one \( \& \) onto if: A \( . Y=R \) В. \( Y=[1, \infty) \) c. \( Y=[4, \infty) \) D. \( Y=[5, \infty) \)
2
Maths
Which of the following sources gives best monochromic light? A. A candle B. A bulb c. A mercury tube D. A laser
3
Physics
Fuel formed under the earths surface by the decomposition of organic matter is: A. organic fuel B. bio-gas c. fossil fuel D. underground fuel
3
Physics
If the points \( (k, 2 k),(3 k, 3 k) \) and (3,1) are collinear then the value of \( k \) is A \( \cdot \frac{7}{9} \) B. \( \frac{2}{3} \) c. \( \frac{-2}{3} \) D. \( \frac{-1}{3} \)
2
Maths
The concentration of the reactant \( R \) at different times are given below. Find the average rate during different time intervals. \( t(\sec ) \quad[R](\operatorname{mol} / L) \) ) 0.150 10 \[ 0.100 \] 20 0.050 A \( . . .005 \mathrm{mol} \mathrm{L}^{-1} \mathrm{s}^{-1}, .005 \mathrm{mol} \mathrm{L}^{-1} \mathrm{s}^{-1} \) B . .005molL" \( s^{-1}, .0025 \) molL\( ^{-1} s^{-1} \) c. \( .0025 \mathrm{molL}^{-1} \mathrm{s}^{-1} . .005 \mathrm{molL}^{-1} \mathrm{s}^{-1} \) D. None of these
1
Chemistry
Decomposition of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \) is retarded by A . Acetanilide в. \( M n O_{2} \) c. zinc D. finely divided metal
1
Chemistry
A light and a heavy body have equal kinetic energies. The light body has greater momentum. A. True B. False
3
Physics
II sodium bicarbonate solution? This question has multiple correct options \( A \) B. \( c \) \( D \)
1
Chemistry
A particle is thrown upwards with velocity \( 2 \mathrm{m} / \mathrm{s}, \) the velocity of particle after 2 s is : A. \( 17.6 m / s \) B. \( -17.6 \mathrm{m} / \mathrm{s} \) c. \( 19.6 m / s \) D. \( -19.6 m / s \)
3
Physics
What will be the correct gene expression pathway? A. Gene-mRNA- transcription-translation-protein B. Transcription-Gene-translation-mRNA-protein C. Gene-transcription-mRNA-translation-protein D. Gene-translation-mRNA-transcription-protein
0
Biology
A charged body is brought near a positively charged gold leaf electroscope. The divergence of its leaves increases. If the same body is brought near a negatively charged gold leaf electroscope, what will be the effect on divergence of its leaves?
3
Physics
Fore-brain is centre of intelligence, control of movements, hearing, smell and sight. A. True B. False
0
Biology
35 has a non-terminating decimal \( \overline{\mathbf{5 0}} \) expansion A. True B. False
2
Maths
Explain the formation of root nodules in legumes.
0
Biology
The active mass of \( 7.0 \mathrm{g} \) of nitrogen in a \( 2.0 L \) container would be: A . 0.25 B. 0.125 \( c .0 .5 \) D. 14.0
1
Chemistry
The Sl unit of radioactivity is : A . Becquerrel B. Curie c. Rutherford D. None of these
3
Physics
Chief anatomical feature of Cucurbitaceae family is A. Bicollateral vascular bundles B. Conjoint vascular bundle c. radial vascular bundle D. None of the above
0
Biology
How is the angle of emergence \( i_{2} \) related to the angle of incidence \( i_{1} ? \) в. \( i_{2}<i_{1} \) \( \mathbf{c} \cdot i_{2}>i_{1} \) D. can't say
3
Physics
Within a spherical charge distribution of charge density \( \rho(r), \) N equipotential surfaces of potential \( V_{0}, V_{0}+ \) \( \boldsymbol{\Delta} \boldsymbol{V}, \boldsymbol{V}_{0}+\boldsymbol{2} \boldsymbol{\Delta} \boldsymbol{V}, \ldots . ., \boldsymbol{V}_{0}+ \) \( N \Delta V(\Delta V>0), \) are drawn and have increasing radii \( r_{0}, r_{1}, r_{2}, \dots . . r_{N} \) respectively. If the difference in the radii of the surfaces is constant for all values of \( V_{0} \) and \( \Delta V \) then : A \( \cdot \rho(r)= \) constant B. \( \rho(r) \propto \frac{1}{r^{2}} \) c. \( \rho(r) \propto \frac{1}{r} \) D. \( \rho(r) \propto 1 \)
3
Physics
In steady horizontal flow: A. the pressure is greatest where the speed is leas B. the pressure is independent of speed C. the pressure is least where the speed is least D. (a) and (c) are correct
3
Physics
We move our hands while walking for A. Fast movement B. Balancing c. Increasing blood circulation D. Relieving tension
0
Biology
Which of the following is strongest conjugate base в. \( \mathrm{HCO}_{3} \) \( c . P \) D. HSO
1
Chemistry
Evaluate \( \int_{1}^{3}(2 x+3) d x \)
2
Maths
A flat plate is moving normal to its plane through a gas under the action of a constant force \( \boldsymbol{F} \). The gas is kept at a very low pressure. The speed of the plate \( v \) is much less than the average speed \( u \) of the gas molecules. Which of the following options is/are true? This question has multiple correct options A. The resistive force experienced by the plate is proportional to \( v \) B. At a later time the external force \( F \) balances the resistive force C. The plate will continue to move with constant non-zero acceleration, at all times D. The pressure difference between the leading and trailing faces of the plate is proportional to \( u v \)
3
Physics
Name the family to which each of the following belongs (i) Pisum (ii) Onion (iii) Potato.
0
Biology
Which of the following is paramagnetic in nature? \( A \cdot N_{2} O_{4} \) B. \( \mathrm{N}_{2} \) c. No D. \( \mathrm{N}_{2} \mathrm{O}_{3} \)
1
Chemistry
Which of the following is the most stable oxidation state of aluminium? A . -1 B. +1 \( c \cdot+2 \) D. +3
1
Chemistry
The volume of air that can be inhaled following a maximal exhalation includes IRV, TV and ERV is known as the A. Functional capacity B. Lung capacity c. vital capacity D. Respiratory capacity
0
Biology
What is the square root of 506.25 using long division method? A . 22. B. 21.4 c. 23.4 D. 25.3
2
Maths
What is the formula of calamine?
1
Chemistry
The angular velocity of the earth with which it has to rotate so that the acceleration due to gravity on \( 60^{\circ} \) latitude becomes zero is A . \( 2.5 \times 10^{-3} r a d / s \) В. \( 1.5 \times 10^{-3} r a d / s \) C \( .4 .5 \times 10^{-3} \mathrm{rad} / \mathrm{s} \) D. \( 0.5 \times 10^{-3} \mathrm{rad} / \mathrm{s} \)
3
Physics
A shopkeeper buys 15 identical articles for Rs. 840 and pays sales-tax at the rate of \( 8 \% . \) He sells 6 of these articles at Rs. 65 each and charges sales-tax at the same rate. Calculate the VAT paid by the shopkeeper against the sale of these six articles. A. Rs. 2.5 5 B. Rs.4.32 c. Rs. 7.52 D. Rs. 9.55
2
Maths
Appliances based on heating effect of current work on A. only A.c. B. only D.C. c. both A.c. and D.c. D. none of these
3
Physics
An earthquake is caused by A. shaking of the earth B. strain building up in the tectonic plates C . plates slipping along the fault lines D. all of the above
3
Physics
In Young's double slit experiment, the intensity at the center of screen is: A. equal to the intensity of each source B. equal to twice the intensity of each source c. half the intensity of each source D. four times the intensity of each source
3
Physics
Which of the following mixtures can act as a buffer? This question has multiple correct options \( \mathbf{A} \cdot N a O H+H C O O N a \) B. Borax + boric acid c. \( N a H_{2} P O_{4}+N a_{2} P O_{4} \) D. \( N H_{4} C l+N H_{4} O H \)
1
Chemistry
A 220 volt input is supplied to a transformer. The output circuit of 2.0 ampere at 440 volts. If the efficiency of the transformer is \( 80 \% \), the current drawn by the primary windings of the transformer is
3
Physics
An equilibrium mixture in a vessel of capacity 100 litre contain 1 mol \( N_{2}, 2 \) mol \( O_{2} \) and 3 mol NO.No. of moles of \( 0_{2} \) to be added so that at new equilibrium the conc. of NO is found to be 0.04 mol/lit : A \( .(101 / 18) \) B. (101/9) c. (202/9) D. None of these
1
Chemistry
Mass-flow hypothesis is also known as A. Pressure flow hypothesis B. Accelerated diffusion theory c. conventional flow hypothesis D. None of the above
0
Biology
The dimension of \( 1 / 2 \varepsilon_{o} E^{2}\left(\varepsilon_{o}\right. \) permittivity of free space; E: electric field) is? A . \( M L T^{-} \) В. \( M L^{2} T^{-2} \) c. \( M L^{-1} T^{-2} \) D. \( M L^{2} T^{-1} \)
3
Physics
Without expanding, show that the value of the following determinant is zero: \( \left|\begin{array}{ccc}a & b & c \\ a+2 x & b+2 y & c+2 z \\ x & y & z\end{array}\right| \)
2
Maths
In which one of the following pairs the radius of the second species is greater than that of the first? A. \( N a, M g \) B. \( O^{2-}, N^{3-} \) c. \( L i^{+}, B e^{2+} \) D. \( B a^{2+}, S r^{2+} \)
1
Chemistry
Root pressure is measured by A. Potometer B. Barometer c. Manometer D. Auxanometer
0
Biology
What are the conditions for a chemical change? A. Combining particles are in close contact. B. Energy is suppliedd c. Both A and B D. None of these.
1
Chemistry
The volumes of the two spheres are in the ratio \( 64: 27 . \) Find the ratio of their surface areas. \( \mathbf{A} \cdot 16: 9 \) B. 9: 16 c. 4: 3 D. 3: 4
2
Maths
As the distance of the planet from the sun increases, the period of revolution decreases. A. True B. False
3
Physics
Write the mechanism of hydration of ethene to yield ethanol
1
Chemistry
The most efficient engine is? A . Petrol B. Electric c. Steam D. Diesel
3
Physics
In which ratio the plane \( Y Z \) divides the lines joining the points (2,1,2) and (-6,3,4)
2
Maths
Out of (ref. image), which one is more reactive towards nucleophilic substitution reaction and why? and
1
Chemistry
If \( x^{y}=e^{x-y}, \) show that \( \frac{d y}{d x}= \) \( \frac{\boldsymbol{y} \log \boldsymbol{x}}{\boldsymbol{x}(\log \boldsymbol{x}+\mathbf{1})} \)
2
Maths
Oxygen molecule is paramagnetic in nature. What is the paramagnetic content in terms of the magnetic moment in \( O_{2}^{-} ? \) A . 1.732 B. 3 c. 1.5 D. 2.5
1
Chemistry
Dimension of temperature coefficient \( \alpha \) is
3
Physics
Prove that the points \( \boldsymbol{A}(\boldsymbol{a}, \boldsymbol{b}+ \) \( c), B(b, c+a) \) and \( C(c, a+b) \) are collinear (By determinant)
3
Physics
The chemical reactions involved in the extraction of metallic silver from argentite is - \( \mathbf{2} N \boldsymbol{a}\left[\boldsymbol{A} \boldsymbol{g}(\boldsymbol{C} \boldsymbol{N})_{2}\right]+\boldsymbol{Z} \boldsymbol{n} \rightarrow \) \( \boldsymbol{N} \boldsymbol{a}_{2}\left[\boldsymbol{Z} \boldsymbol{n}(\boldsymbol{C} \boldsymbol{N})_{4}\right]+\boldsymbol{2} \boldsymbol{A} \boldsymbol{g} \downarrow \) If the statement is true enter 1 else 0 .
1
Chemistry
If, in the reaction \( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g) \) \( x \) is the part of \( N_{2} O_{4} \) which dissociates, then the number of molecules at equilibrium will be: A B. 3 \( c \cdot(1+x) \) D. \( (1+x)^{2} \)
1
Chemistry
The equation of image of the line \( \frac{x-1}{9}=\frac{y-2}{-1}=\frac{z+3}{-3} \) in the plane \( 3 x-3 y+10 z=26 \) is \( ^{\text {A } \cdot} \frac{x-4}{9}=\frac{y+1}{-1}=\frac{z-7}{3} \) B. \( \frac{x-4}{9}=\frac{y+1}{-1}=\frac{z-7}{-3} \) c. \( \frac{x+4}{9}=\frac{y+1}{-1}=\frac{z-7}{-3} \) \( \frac{x-4}{9}=\frac{y-1}{1}=\frac{z-7}{-3} \)
2
Maths
Which of the following contain \( \boldsymbol{P}-\boldsymbol{P} \) bond? A \( \cdot P_{2} O_{7}^{4} \) B. \( P_{2} O_{6}^{2-} \) \( \mathrm{c} \cdot P_{3} O_{9}^{3-} \) D. \( P_{2} O_{6}^{4-} \)
1
Chemistry
Which of the following is true regarding how increasing population helps in depletion of water table? A. Increasing population creates demand for construction of houses, shops, offices, roads and pavements B. This decreases the open areas like parks, and playgrounds. c. This, in turn, decreases the seepage of rainwater into the ground D. All of the above
0
Biology
\( f\left|\begin{array}{lll}\boldsymbol{x}_{1} & \boldsymbol{y}_{1} & \mathbf{1} \\ \boldsymbol{x}_{2} & \boldsymbol{y}_{2} & \mathbf{1} \\ \boldsymbol{x}_{3} & \boldsymbol{y}_{3} & 1\end{array}\right|=\left|\begin{array}{lll}\boldsymbol{a}_{1} & \boldsymbol{b}_{1} & \mathbf{1} \\ \boldsymbol{a}_{2} & \boldsymbol{b}_{2} & \mathbf{1} \\ \boldsymbol{a}_{3} & \boldsymbol{b}_{3} & 1\end{array}\right| \), then the two triangles with vertices \( \left(x_{1}, y_{1}\right),\left(x_{2}, y_{2}\right),\left(x_{3}, y_{3}\right) \) and \( \left(a_{1}, b_{1}\right) \) \( \left(a_{2}, b_{2}\right),\left(a_{3}, b_{3}\right) \) must be congruent A. True B. False
2
Maths
State Ampere's circuital law and arrive at the expression for the magnetic field near a straight infinite current carrying wire.
3
Physics
What will be the enthalpy of combustion of carbon to produce carbon monoxide on the basis of data given below? \( \boldsymbol{C}_{(s)}+\boldsymbol{O}_{2(\boldsymbol{g})} \rightarrow \boldsymbol{C} \boldsymbol{O}_{2(\boldsymbol{g})} \quad \boldsymbol{\Delta} \boldsymbol{H}= \) \( -393.4 k J \) \( \boldsymbol{C O}_{(\boldsymbol{g})}+\frac{1}{2} \boldsymbol{O}_{2(\boldsymbol{g})} \rightarrow \boldsymbol{C} \boldsymbol{O}_{2(\boldsymbol{g})} \quad \boldsymbol{\Delta} \boldsymbol{H}= \) \( -283.0 k J \) A \( .+676.4 \mathrm{kJ} \) B . - 676.4 kJ c. -110.4 k D. \( +110.4 \mathrm{kJ} \)
1
Chemistry
Two identical particles of mass \( 1 \mathrm{kg} \) experience a gravitational force of 10N between them . The distance between them is r. If the same setup is put in water (refractive index \( =1.5 \) ), how will their gravitational force change A. The gravitational force will reduce to 1 N B. The gravitational force remains constant c. The gravitational force becomes \( 20 / 3 \mathrm{N} \) D. The gravitational force becomes 15 N
3
Physics
A rectangular loop PQRS, is being pulled with constant speed into a uniform transverse magnetic fieldby a force (as shown). E.m.f. induced in side PS and potential difference between points Pand S respectively are (Resistance of the \( \operatorname{loop}=r) \) A \( \cdot \) zero, \( \frac{F r}{B \ell} \) B. Zero, zero c. zero, \( \frac{F r}{6 B \ell} \) D. \( \frac{F r}{6 B \ell}, \frac{F r}{6 B \ell} \)
3
Physics
Displacement of a body is given by \( x= \) \( \mathbf{5}+\mathbf{3} t+\mathbf{2} t^{2} . \) The value instantaneous acceleration is: A . 4 units B. 6 units c. 5 units D. 2 units
3
Physics
Unlike phenol, 2,4-dinitrophenol is soluble in sodium carbonate solution in water because? A. presence of two - \( N O_{2} \) groups in the ring makes 2,4 dinitrophenol a stronger acid than phenol. B. presence of two - \( N O_{2} \) groups in the ring makes 2,4 dinitrophenol a weaker acid than phenol. C. presence of two \( -N O_{2} \) groups make the hydrogen bonding easier, making 2, 4-dinitrophenol soluble D. nitro group reacts with \( N a_{2} C O_{3} \) while \( -O H \) group does not
1
Chemistry
Predict the products formed when cyclohexanecarbaldehyde reacts with the following reagents. (i) PhMgBr and then \( \boldsymbol{H}_{3} \boldsymbol{O}^{+} \) (ii) Tollens reagent (iii) Semicarbazide and weak acid (iv) Excess ethanol and acid (v) Zinc amalgam and dilute hydrochloric acid
1
Chemistry
What is represented by the following sequence? Cyanobacteria, Crustose lichens, Foliose lichens, Mosses, Shrub, Dicotyledenous plants. A. Genetic drift B. Eltonian pyramid c. Ecological succesion D. Phylogenetic relationship
0
Biology
If vectors \( (x-2) \vec{a}+\vec{b} \) and \( (2 x+1) \vec{a}-\vec{b} \) are parallel then \( x \) A \( \cdot 1 / 3 \) B. 3 \( c \cdot-3 \) D. \( -1 / 3 \)
2
Maths