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An epistomatic leaf is? A. Sunflower B. Maize c. Nymphaea D. calotropis
0
Biology
Baking powder used to make a cake is a mixture of \( \operatorname{starch}, N a H C O_{3} \) and \( \boldsymbol{C} \boldsymbol{a}\left(\boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}\right)_{2} . \) The function of \( \boldsymbol{C a}\left(\boldsymbol{H}_{2} \boldsymbol{P} \boldsymbol{O}_{4}\right)_{2} \) is: A \( \cdot \) to slow down the release of \( C O_{2} \) B. being acidic in nature and give \( C O_{2} \) when moistened with \( N a H C O_{3} \) \( c . \) to act as a fille D. none of these
1
Chemistry
Which allotrope of carbon is good conductor of electricity? A. charcol B. coal c. Gas carbon D. graphite
1
Chemistry
f \( (k, 2-2 k),(-k+1,2 k),(-4- \) \( k, 6-2 k) \) are collinear, then \( k= \) \( A \cdot+1 \) B. - \( c \cdot-2 \) \( D .2 \)
2
Maths
If Anil's salary is \( 20 \% \) less than Raju's salary, then by what percentage is Raju's salary more than that of Anil?
2
Maths
What is the pH value of base? \( A \cdot>7 \) B. \( <7 \) \( c \cdot=7 \) D. None
1
Chemistry
Assertion Nylon wire is stronger than steel wire. Reason Nylon is a fibre while steel is an alloy. 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
The particle is executing S.H.M. on a line \( 4 \mathrm{cms} \) long. If its velocity at its mean position is \( 12 \mathrm{cm} / \mathrm{sec}, \) its frequency in Hertz will be : A \( \cdot \frac{2 \pi}{3} \) в. \( \frac{3}{2 \pi} \) c. D. \( \frac{3}{\pi} \)
3
Physics
Which of the following is a bad conductor of heat? A. woodd B. Aluminium c. Iron D. Bronze
3
Physics
Upper molars in human dentition have A. Four roots B. Three roots c. Two roots D. single root
0
Biology
Integrate \( \int \frac{1}{x^{1 / 2}+x^{1 / 3}} d x \)
2
Maths
Which one of the following is specific function of the liver? A. Excretion B. Glycogenolysis c. Digestion D. Histolysis
0
Biology
Diagonals of a rectangle are: A. equal to each other B. not equal C. one is double of other D. none
2
Maths
Nitrogen is liberated by the thermal decomposition of : A. \( N H_{4} N O_{2} \) в. \( \operatorname{NaN}_{3} \) c. \( \left(N H_{4}\right)_{2} C r_{2} O_{7} \) D. All of these
1
Chemistry
Which of the following pair will form an ideal solution? A. Chlorobenzen, chloro ethane B. Benzene, Toluene c. Acetone, chloroform D. water, HCl
1
Chemistry
Assertion Equivalent mass of \( K M n O_{4} \) is equal to one-third of its molecular mass when it acts as an oxidising agent in an alkaline medium. Reason Oxidation number of \( M n \) is +7 in \( \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4} \) 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
The frequency of sound waves can be expressed in A . \( \mathrm{Hz} \) B. Cycles \( c \cdot s^{-1} \) D. All of these
3
Physics
The ratio of time taken by an electron in revolution around the H-nucleus in 2nd and 3 rd orbits is: A .2: 3 B . 4: 8 \( \mathbf{c} \cdot 8: 27 \) D. 27: 8
1
Chemistry
A clock pendulum having coefficient of linear expansion \( \boldsymbol{\alpha}=\mathbf{9} \times \mathbf{1 0}^{-\mathbf{7}} /^{\circ} \mathbf{C} \) has a period of \( 0.5 s \) at \( 20^{\circ} \mathrm{C} . \) If the clock is used in a climate where the temperature is \( 30^{\circ} \mathrm{C} \), how much times does the clock lose in each oscillation? \( (g=\text { constant }) \) A \( \cdot 2.5 \times 10^{-7} \mathrm{s} \) B . \( 5 \times 10^{-7} \) s D. \( 2.25 \times 10^{-6} \mathrm{s} \)
3
Physics
Plastic can be used for: A. polythene bags B. food packaging C . electrical appliances D. All of the above
1
Chemistry
Find the value of \( 64.75-75.97+36.82 \) A . 25.60 B. 23.98 c. 29.76 D. 21.96
2
Maths
\( A B C \) is an equilateral triangle of side 6 cm. If a circle of radius \( 1 \mathrm{cm} \) is moving inside and along the sides of the triangle, then locus of the centre of the circle is an equilateral triangle of side A. \( 5 \mathrm{cm} \) B. \( 4 \mathrm{cm} \) c. \( (6-2 \sqrt{3}) \) ст D. \( (3+\sqrt{3}) \) cm
2
Maths
Identify the true statement. A. The \( X \) -axis is a vertical line B. The \( Y \) -axis is a horizontal line C. The scale on both the axes must be the same in a Cartesian plane D. The point of intersection between the \( X \) -axis and \( Y \) axis is called the origin
2
Maths
A coil of metal wire is kept stationary in a non-uniform magnetic field. An emf is induced in the coil. A. True B. False
3
Physics
A ship sends a longitudinal wave towards the bottom of the sea. The wave returns from the bottom of the sea after \( \mathbf{2 . 0} s . \) The bulk modulus of the sea water is \( 2.2 \times 10^{9} N m^{-2} \) and the density of water is \( 1.1 \mathrm{g} \mathrm{cm}^{-3} . \) The depth of the sea is about A . \( 2200 m \) в. 2000 \( m \) c. \( 1400 m \) D. \( 1100 m \)
3
Physics
For the following electrochemical cell at \( 298 K \) \( \boldsymbol{P t}(s)\left|\boldsymbol{H}_{2}(\boldsymbol{g}, \mathbf{1} \boldsymbol{b a r})\right| \boldsymbol{H}^{+}(\boldsymbol{a} \boldsymbol{q}, \mathbf{1} \boldsymbol{M}) \| \boldsymbol{M}^{4+} \) \( \boldsymbol{E}_{c e l l}=\mathbf{0 . 0 9 2 V} \) when \( \frac{\left[\boldsymbol{M}^{2+}(\boldsymbol{a} \boldsymbol{q})\right]}{\left[\boldsymbol{M}^{4+}(\boldsymbol{a q})\right]}=\mathbf{1 0}^{x} \) Given \( : \boldsymbol{E}_{M^{4+} / M^{2+}}^{0}= \) \( \mathbf{0 . 1 5 1} V ; \mathbf{2 . 3 0 3} \frac{\boldsymbol{R T}}{\boldsymbol{F}}=\mathbf{0 . 0 5 9} \boldsymbol{V} \) The value of \( x \) is : A . -2 B. - \( c \cdot 1 \) D.
1
Chemistry
A glass rod is rubbed with silk, is found positively charged. This is because. A. Electrons are transferred from glass rod to silk. B. Electrons are transferred from silk to glass rod. c. Protons are transferred from glass rod to silk. D. Protons are transferred from silk to glass rod.
3
Physics
A reaction involving an aromatic nucleus is usually initiated by: A. free radicals B. molecules possessing a lone pair of electrons c. nucleophiles D. electrophiles
1
Chemistry
A solid cube has volume \( (1000 \pm 0.3) \) \( c m^{3} . \) The side of the cube is A \( \cdot(10 \pm 0.1) \) ст в. \( (10 \pm 0.01) \) ст c. \( (10 \pm 0.001) \mathrm{cm} \) D. \( (10 \pm 0.003) \) с \( m \)
3
Physics
A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. What is the position of the ball in \( T / 3 \) seconds? A. h/9 metre from the ground B. 7h/9 metre from the ground c. \( 8 \mathrm{h} / 9 \) metre from the ground D. 17h/18 metre from the ground
3
Physics
Which of the following options does not show instantaneous rate of reaction at \( 40^{t h} \) second? A \( \frac{V_{5}-V_{2}}{50-30} \) 3. \( \frac{V_{4}-V_{2}}{50-30} \) \( c \cdot \frac{V_{3}-V_{2}}{40-30} \) D. \( \frac{V_{3}-V_{1}}{40-20} \)
1
Chemistry
Assertion Red phosphorus is preferred to white phosphorus in the manufacture of matches. Reason Red phosphorus is non-poisonous in nature. 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
A small block slides with velocity \( 0.5 \sqrt{g} r \) on the horizontal friction less surface as shown in the figure. The block leaves the surface at point \( C . \) The angle \( \theta \) in the figure is: \( \mathbf{A} \cdot \cos ^{-1}(4 / 9) \) B \( \cdot \cos ^{-1}(3 / 4) \) \( \mathbf{C} \cdot \cos ^{-1}(1 / 2) \) D. none of the above
3
Physics
Thermodynamically, in which form of carbon is the most stable? A. coal B. Fullerenes c. Diamond D. Graphite
1
Chemistry
A planet was suddenly stooped in its orbit supposed to be circular. The time it will fall on to the sun is, if time period of planet's revolution is \( T \) A \( \cdot \frac{T}{2} \) в. \( \frac{\sqrt{2} T}{4} \) c. \( \frac{\sqrt{2} T}{8} \) D. \( \sqrt{2} T \)
3
Physics
\( \boldsymbol{A} \boldsymbol{g} \mid \boldsymbol{A} \boldsymbol{g}^{\oplus}(\boldsymbol{1} \boldsymbol{M})\left\|\boldsymbol{A} \boldsymbol{g}^{\oplus}\right\| \boldsymbol{A} \boldsymbol{g} \) \( 0.5 \mathrm{F} \) electricity is first passed in this LHS (anode) and 1 F of electricity is passed in the RHS (cathode) making them independent electrolytic cells at 298 K. EMF of the cell after electrolysis will: A. increase B. decrease c. not change D. none of the above
1
Chemistry
The equation of a line passing through (2,-3) and inclined at an angle of \( 135^{\circ} \) with the positive direction of \( x \) -axis is. A. \( x+y-1=0 \) в. \( x+y+1=0 \) c. \( x-y-1=0 \) D. \( -x+y+1=0 \)
2
Maths
Show that \( f(x)=e^{2 x} \) is increasing on \( R \)
2
Maths
The diagrams show different resistor arrangements. Which arrangement has the smallest combined resistance? \( A \) B. \( c \) \( D \)
3
Physics
Match the names of the parts listed with the names of the organs. \begin{tabular}{lll|l} List I (Parts) & \multicolumn{3}{c} { List II } \\ & (Organs) & \\ A & Bicuspid valve & p & Brain \\ B & Nephron & q & Liver \\ C & Alveoli & r & Heart \\ D & Cerebrum & s & Kidney \\ & t & Lungs \end{tabular} \( \mathbf{A} \) \( A-r, B-t, C-s, D-R \) B. \( A-r, B-s, C-t, D-B \) \( c \cdot A-s, B-q, C-p, D-t \) D. A-s, B-r, C- p, D-
0
Biology
A square yard has area \( 1764 \mathrm{m}^{2} \). From a corner of this yard, another square part of area \( 784 \mathrm{m}^{2} \) is taken out for public utility. The remaining portion is divided in to 5 equal square parts. What is the perimeter of each of these equal parts?
2
Maths
Very short answer type. What is the function/role of bulliform cells in grasses?
0
Biology
The diagram shows the graphs of pressure vs density for a given mass of an ideal gas at two temperatures \( T_{1} \) and \( T \) 2 \( A \cdot T_{1}>T_{2} \) B. \( T_{1}=T_{2} \) \( c \cdot T_{1}<T_{2} \) D. Any of the three are possible
3
Physics
Find the principal value of \( \operatorname{cosec}^{-1}\left(\frac{2}{\sqrt{3}}\right) \)
2
Maths
Assertion Both Be and Al can form complexes \( \operatorname{such} \operatorname{as} B e F_{4}^{-2} \) and \( A I F_{6}^{3-} \) respectively, \( B e F_{6}^{-3} \) is not formed. Reason In the case of Be, no vacant d-orbitals are present in its outermost shell. These questions consist of two statements each, printed as assertion and reason. While answering these questions you are required to choose any one of the following four responses. A. If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion, then mark B. If both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion, then mark C. If Assertion is true statement but Reason is false, then mark D. If both Assertion and Reason are false statements, then mark
1
Chemistry
Incomplete breakdown of glucose in muscles results in the formation of A. Alcohol and water B. Alcohol and lactic acid c. \( C O_{2} \) and water D. Lactic acid
0
Biology
The frequency \( f \) of vibration of mass \( m \) suspended from a spring of spring contact \( k \) is given by \( \boldsymbol{f}=\boldsymbol{c} \boldsymbol{m}^{\boldsymbol{x}} \boldsymbol{k}^{\boldsymbol{y}} \) Where \( c= \) dimensionless constant then find the values of \( x \) and \( y \)
3
Physics
Which one of the following statements is false? A. Work is a state function B. Temperature is a state function C. Work appears at the boundary of the system D. Change in the state is completely defined when the initial and final states are specified
1
Chemistry
When a glass rod is rubbed with silk, both become charged due to: A. migration of protons B. exchange of electrons and protons c. migration of electrons D. migration of neutrons
3
Physics
A radioactive sample can decay by two different processes. The half-life for the first process is \( T_{1} \) and that for the second process is \( T_{2} \). The effective half- life \( T \) of the radioactive sample is A \( \cdot T=T_{1}+T_{2} \) в. \( \frac{1}{T}=\frac{1}{T_{1}}+\frac{1}{T_{2}} \) c. \( T=\frac{T_{1}+T_{2}}{T_{1} T_{2}} \) D. \( T=\frac{T_{1}-T_{2}}{T_{1} T_{2}} \)
3
Physics
\( A \) and \( B \) are two identical spherical charged bodies which repel each other with force \( F, \) kept at a finite distance apart A third uncharged sphere of the same size is brought in contact with sphere \( \mathrm{B} \) and removed. It is then kept at mid-point of \( A \) and \( B \) find the magnitude of force on \( \mathbf{C} \) \( A \cdot F / 2 \) B. F/8 \( c \cdot F \) D. zero
3
Physics
Assertion The reactions taking place in the sun are nuclear fusion reactions. Reason The main reason for nuclear fusion reactions in the sun is that \( \boldsymbol{H}_{2} \) is present in the sun's atmosphere so that hydrogen nuclei can fuse to form helium. 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
3
Physics
The property to restore the natural shape or to oppose the deformation is called: A. elasticity B. plasticity c. ductility D. none of the above
3
Physics
If the angle of incidence is \( 80^{\circ}, \) what will be the angle of reflection with respect to the normal drawn perpendicular at the point of reflection? \( A \cdot 80 \) B. 100 \( c \cdot 160 \) D. 20
3
Physics
Q Type your question orgamisıng nis graduated cymnaers In the hopes of keeping his office tidy and setting a good example for his students. He has beakers with diameters, in inches, of \( \frac{1}{2}, \frac{3}{4}, \frac{4}{5}, 1 \) and \( \frac{5}{4} . \) With his original five cylinders, professor Buckingham realises that he is missing a cylinder necessary for his upcoming lab demonstration for Thursday's class. He remembers that the cylinder he needs when added to the original five, will create a median diameter value of for the set of six total cylinders. He \( \overline{\mathbf{1 0}} \) also knows that the measure of the sixth cylinder will exceed the value of the range of the current five cylinders by a width of anywhere from \( \frac{1}{4} \) inches to \( \frac{1}{2} \) inches, inclusive. Based on the data, what is one possible value of \( y \), the diameter of this missing sixth cylinder? A \( .1 \leq y \leq 1.25 \) в. \( 2 \leq y \leq 2.25 \) c. \( 3 \leq y \leq 3.25 \) D. \( 4 \leq y \leq 4.25 \)
2
Maths
Assertion faraday is the charge that liberates 1 eq. of metal at cathode. Reason Passsage of 1 faraday charge through aq. \( \mathrm{MgCl}_{2} \) liberates 12 g Mg at cathode. 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
The structural gene which synthesizes mRNA that translates the permease protein is A. Y-gene B. \( P^{53} \) gene c. A- gene D. z-gene
0
Biology
Refer to the given figure of human urinary system and select the option that correctly identifies the labelled parts \( A \) to \( E \) A. Superior vena cava Inferior vena cava Dorsal aorta Urethra Pelvis B. Inferior vena cava Superior vena cava Dorsal aorta Urinary bladder Cortex c. Ureter Inferior vena cava Dorsal aorta Urinary bladder Pelvis D. Dorsal aorta Inferior vena cava Superior vena cava Urinary bladder Cortex
0
Biology
Two resistors \( \boldsymbol{R}_{1}(\mathbf{2 4} \pm \mathbf{0 . 5}) \mathbf{\Omega} \) are joined in series. The equivalent resistance is A . \( 32 \pm 0.33 \Omega \) B \( .48 \pm 1 \Omega \) c. \( 32 \pm 0.2 \Omega \) D. \( 32 \pm 0.9 \Omega \)
3
Physics
and \( m_{3} \) are connected to the ends of a mass-less rod of length \( L \) which lies at rest on a smooth horizontal plane. At \( t=0, \) an explosion occurs between \( m_{2} \) and \( m_{3}, \) and as a result, mass \( m_{3} \) is detached from the rod, and moves with a known velocity \( v \) at an angle of \( 30^{\circ} \) with the y-axis. Assume that the masses \( m_{2} \) and \( m_{3} \) are unchanged during the explosion. What is the velocity of the centre of mass of the system consisting of three masses after the expulsion? A \( \cdot \frac{v}{4}(\hat{i}-3 \hat{j}) \) B \( \cdot \frac{v}{4}(-\hat{i}+\sqrt{3} \hat{j}) \) c. \( -v \) D. none of the above
3
Physics
Choose the correct option which describe the magnetic field produced by a current in a long, straight wire? A. The field in uniform B. The field increases in strength as the distance from the wire increases c. The field lines are directed parallel to the wire, but opposite to the direction of the current D. The field lines are directed radially outward from the wire E. The field lines form circles about the wire
3
Physics
Hard water is unfit for laundries because: This question has multiple correct options A. consumes much soap B. leaves dirty strains of ' \( C a \) ' and ' \( M g^{\prime} \) C. causes irritation on skin D. water is very hard to handle
1
Chemistry
If 1 and 2 are the wavelengths of characteristic X-ray and gamma rays respectively, then the relation between them is : \( A \cdot 1<2 \) B \( .1=2 \) \( c \cdot 1>2 \) D. None of these
3
Physics
Striations in the striated muscles are due to A. Projections of myosin B. Absence of myofilaments c. Presence of myofilaments D. specilaized arrangement of myofilaments
0
Biology
Explain the appropriate reason for the following statement: (a)Size of \( M g^{2+} \) is less than Mg. (b) Electron gain enthalpy of Cl is more than that of F.
1
Chemistry
A charge of \( 10^{-9} C \) moves from \( X \) to \( Z \) Find the work done by the electric field due to the charge \( Q=2 C \) in moving the charge from \( X \) to \( Z \). The value of coulomb's constant is \( 9 \times 10^{9} N m^{2} C^{-2} \) A . \( 0 . J \) В. \( 150 J \) \( c .300 J \) D. \( 560 J \) E. \( 1,000 J \)
3
Physics
The random variable \( x \) follows normal distribution Then the value of \( C \) is A \( \cdot \sqrt{2 \pi} \) в. \( \frac{1}{\sqrt{2 \pi}} \) c. \( 5 \sqrt{2 \pi} \) D. \( \frac{1}{5 \sqrt{2 \pi}} \)
2
Maths
\( \Delta A B C \sim \Delta L M N \cdot \ln \Delta A B C, A B= \) \( 5.1 \mathrm{cm}, \angle B=55^{\circ}, \angle C=65^{\circ} \) and \( \frac{A C}{L N}=\frac{3}{5}, \) then construct \( \Delta L M N \)
2
Maths
The most electronegative element belongs to: A. group 1 B. group 18 c. group 17 D. group 15
1
Chemistry
If \( P(E) \) denotes the probability of an event \( \mathrm{E} \), then A. \( P(E)<0 \) В. \( P(E)>1 \) c. \( 0 \leq P(E) \leq 1 \) D. \( -1 \leq P(E) \leq 1 \)
2
Maths
The significant result deduced from the Rutherford's scattering experiment is that A. whole of the positive charge is concentrated at the centre of atom B. there are neutrons inside the nucleus C . \( \alpha \) -particles are helium nuclei D. electrons are embedded in the atom E. electrons are revolving around the nucleus
3
Physics
From the prices of shares \( X \) and \( Y \) below find out which is more stable in value: 35 54 52 53 56 \( x \) 108 \( Y \) 107 \( \quad 105 \) 105 106
2
Maths
The auto reduction process is not used in the metallurgy of A. \( H g \) в. \( C u \) \( c \cdot P b \) D. \( F e \)
1
Chemistry
The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position is 4. \( k x \) 3. \( 2 k x \) \( c \cdot-\frac{2 k x}{3} \) D. \( -\frac{4 \mathrm{kx}}{3} \)
3
Physics
A concave mirror of focal length \( f, \) in vacuum, is placed in a medium of refractive index \( 2 . \) Its focal length in the medium is : \( A \cdot \frac{f}{2} \) B. \( f \) \( c \cdot 2 f \) D. \( 4 f \)
3
Physics
Write the valencies of \( X, Y \) in the chemical compound having the following lewis notation.
1
Chemistry
Identify the correct order of solubility in aqueous medium: A \( \cdot C u S>Z n S>N a_{2} S \) в. \( Z n S>N a_{2} S>C u S \) c. \( N a_{2} S>C u S>Z n S \) D. \( N a_{2} S>Z n S>C u S \)
1
Chemistry
Which of the following is the \( A \) in the given reaction A. Benzene diazonium chloride B. Benzene c. Nitro benzen D. Amino benzene
1
Chemistry
In an experiment with a beam balance, an unknown mass \( m \) is balanced by two known masses of \( 16 \mathrm{kg} \) and \( 4 \mathrm{kg} \) as shown in fig. Find \( \boldsymbol{m} \) A . \( 10 \mathrm{kg} \) B. \( 6 k g \) \( c .8 k g \) D. \( 12 \mathrm{kg} \)
3
Physics
The diagonals of a parallelogram \( A B C D \) intersect at \( O . A \) line through intersect \( A B \) at \( X \) and \( D C \) at \( Y \). Identify the correct option A. \( O X=O Y \) в. \( O X>O Y \) c. \( O X<O Y \) \( \cdot O X-O Y=0 \) 0
2
Maths
Which of the following is not a complex? A. Potassium ferricyanide B. Ferrous ammonium sulphate C . Potassium ferrocyanide D. Tetraaminecopper (II) sulphate
1
Chemistry
Among the following which one is the formula for noncyclic, saturated hydrocarbon? \( \mathbf{A} \cdot C_{6} H_{12} \) в. \( C_{7} H_{14} \) с \( . C_{7} H_{16} \) D. \( C_{7} H_{18} \) E \( . C_{7} H_{12} \)
1
Chemistry
electric field is along negative \( x \) direction and it is constant. A particle having mass \( m \) and charge \( q \) is projected along \( x \) -direction with speed \( V_{0} . \) An additional force \( \overrightarrow{\boldsymbol{F}}=\overrightarrow{\boldsymbol{C}} \times \overrightarrow{\boldsymbol{V}} \) is acting on the charge where \( \vec{V} \) is velocity vector and \( \vec{C} \) is a constant vector. The charge comes out of region with speed \( \boldsymbol{V}_{0} \) \( 2^{\text {as shown in figure, then the }} \) magnitude of electric field is : A \( \cdot \frac{3}{8} \frac{m V_{0}^{2}}{q d} \) B. \( \frac{4}{3} \frac{m V_{0}^{2}}{q d} \) c. \( \frac{8}{3} \frac{m V_{0}^{2}}{q d} \) D. Can't be determined
3
Physics
Answer the question in the limit of maximum 50 words. Describe the dispersion of light by glass prism with neat figure.
3
Physics
According to Hooke's law of elasticity, if stress is increased, the ratio of stress to strain A . decreases B. increases c. becomes zero D. remains constant
3
Physics
Fertilisation is defined as the process by which A. a diploid spermatozoan unites with a haploid ovum to form a triploid zygote B. a haploid spermatozoan unites with a haploid ovum to form a diploid zygote C . a diploid spermatozoan unites with a diploid ovum to form a diploid zygote D. a diploid spermatozoan unites with a haploid ovum to form a diploid zygote.
0
Biology
Find the equation of the tangent and the normal to the following curve at the indicated point. \( c^{2}\left(x^{2}+y^{2}\right)=x^{2} y^{2} \) at \( \left(\frac{x}{\cos \theta}, \frac{c}{\sin \theta}\right) \)
2
Maths
Two isosceles triangles have equal vertical angles and their areas are in the ratio \( 36: 25 . \) Find the ratio of their corresponding heights.
2
Maths
Milk is an example of water in oil emulsions. A. True B. False c. Ambiguous D. Data insufficient
1
Chemistry
For the coagulation of \( 100 m L \) of arsenious sulphide solution, \( 5 m L \) of \( 1 M N a C l \) is required. What is the coagulating power of \( N a C l ? \)
1
Chemistry
Define the terms: ¡) Declination ii) Inclination or Dip.
3
Physics
Acetabulum is located in: A. collar bone B. hip bone c. shoulder bone D. thigh bone
0
Biology
Hydroponics is growing plants A. Without soil B. Without organic matter C. In water D. All the above
0
Biology
A reduction of \( 12.5 \% \) in the price of dining table brought down its price at Rs. \( 4375 . \) What is the original price of the dining table? \( \mathbf{A} \cdot 8,000 \) в. 5,000 c. 5,500 D. 6,080
2
Maths
The correct equation of nuclear fusion reaction is \( \mathbf{A} \cdot_{1} H^{1}+_{1} H^{1} \rightarrow H_{2} \) \( \mathbf{B} \cdot_{1} H^{2}+_{1} H^{1} \rightarrow_{2} H e^{4}+_{0} n^{1} \) \( \mathbf{C} \cdot_{1} H^{2}+_{1} H^{2} \rightarrow_{2} H e^{4}+ \)energy \( \mathbf{D} \cdot 2 H_{2}+3 H_{2} \rightarrow 5 H_{2} \)
3
Physics
A vessel, whose bottom has round holes with diameter 0.1 mm, is filled with water. The maximum height up to which water can be filled without leakage is A. \( 100 \mathrm{cm} \) B. \( 75 \mathrm{cm} \) \( c .50 \mathrm{cm} \) D. \( 30 \mathrm{cm} \)
3
Physics
How many moles of \( C O_{2} \) are in 1.53 g \( C O_{2} ? \) A. \( 1.807 \times 10^{-24} \) 4 \( 47 \times 10^{77} \) ? В. \( 3.476 \times 10^{-2} \) c. \( 1.717 \times 10^{-2} \) D. \( 1.204 \times 10^{24} \) E . \( 2.414 \times 10^{-1} \)
1
Chemistry
A box contains 100 cards marked with numbers 1 to \( 100 . \) If one card is drawn randomly from the box. Find the probability that it bears. (1) Even prime number. (2) A number divisible by 7. (3) The number at unit place is 9
2
Maths
The unit vector in the direction of \( \overrightarrow{\boldsymbol{a}} \) is A \( \cdot \frac{\vec{a}}{|\vec{a}|} \) в. \( \vec{a}|\vec{a}| \) \( c \cdot a^{2} \) D.
2
Maths
Obtain the probability distribution of the number of sixes in two tosses of a fair die
2
Maths