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In which of the following polymers, ethylene glycol is one of the monomer units? \( A \) B \( \cdot\left(-C H_{2}-C H_{2}\right)_{n} \) \( c \)
1
Chemistry
What are the properties of acids? This question has multiple correct options A. It produces the hydroxyl ion \( \left(O H^{-}\right) \) B. It produces the hydronium ion \( \left(H_{3} O^{+}\right) \) in aqueous solution C. They are proton donors D. They have low pH
1
Chemistry
At time \( t=0, \) two bodies \( A \) and \( B \) are at the same point. A moves with constant velocity \( V \) and \( B \) starts from rest and moves with constant acceleration. Relative velocity of B with respect to A when the bodies meet each other is: A \( \cdot \frac{V}{2} \) в. \( \frac{V}{3} \) c. \( V \) D. \( 2 V \)
3
Physics
Write a \( 2 \times 2 \) matrix which is both symmetric and skew symmetric.
2
Maths
Alligator occurs in A. India B. America and China C. Africa D. Australia
0
Biology
A body is acted upon by two forces each of magnitude \( F, \) but in opposite directions. State the effect of the forces if both forces act at the same point of the body. Which of the following is/are true? A. Resultant force \( =0 \) B. Moment of forces \( =0 \) c. No motion D. All of the above
3
Physics
A nucleus with atomic number \( z \) and neutron number N undergoes two decay processes. The result is a nucleus with atomic number Z-3 and neutron number N-1. Which decay processes took place? A . Two \( \beta^{-} \) decays B. Two \( \beta^{+} \) decays C. \( A n \alpha-d e c a y \) and \( a \beta^{-} \) decay D. An \( \alpha- \) decay and a \( \beta^{+} \) decay
3
Physics
Multiple Answers Type Objective Questions: Which of the following act as negative catalysts? A. Ethanol in oxidation of chloroform B. Tetra ethyl lead used as antiknocking agent C. Glycerol in the decomposition of \( H_{2} O_{2} \) D. all are currect
1
Chemistry
The equilibrium constant for the reaction \( \boldsymbol{C O}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \rightleftharpoons \) \( C O_{2}(g)+H_{2}(g) \) is 3 at \( 500 K . \ln a 2 \) litre vessel \( 60 \mathrm{gm} \) of water gas [equimolar mixture of \( \left.\mathrm{CO}(\mathrm{g}) \text { and } \boldsymbol{H}_{2}(\boldsymbol{g})\right] \) and \( 90 \mathrm{gm} \) of steam is initially taken. What is the equilibrium concentration of \( \boldsymbol{H}_{2}(\boldsymbol{g}) \) at equilibrium (mole/L)? A . 1.75 в. 3.5 \( c \cdot 1.5 \) D. 0.75
1
Chemistry
Alcohols can be converted to various types of gasoline(period) by shapeselective catalyst. A. Maltase B. ZSM- 5 c. Lindlar's catalyst D. ziegler Natta catalyst
1
Chemistry
Which of the following has the largest de Broglie wavelength, provided all have equal velocity? A. Carbon dioxide molecule B. Ammonia molecule c. oxygen molecule D. Nitrogen molecule
1
Chemistry
Prove that \( \cos \frac{\pi}{15} \cos \frac{2 \pi}{15} \cos \frac{3 \pi}{15} \cos \frac{4 \pi}{15} \cos \frac{5 \pi}{15} \cos \frac{6}{1} \) 1 \( 2^{7} \)
2
Maths
An arithmetic sequence starts as \( \mathbf{5}, \mathbf{9}, \mathbf{1 3}, \dots \dots \dots, . \) What is the next term? Is 2012 a term of this sequence? Why?
2
Maths
Assertion STATEMENT \( 1: \sim(p \leftrightarrow \sim q) \) is equivalent to \( (\boldsymbol{p} \vee \sim \boldsymbol{q}) \wedge(\sim \boldsymbol{p} \vee \boldsymbol{q}) \) Reason STATEMENT \( 2: \sim(p \leftrightarrow q) \) is equivalent to \( (\boldsymbol{p} \wedge \sim \boldsymbol{q}) \vee(\sim \boldsymbol{p} \wedge \boldsymbol{q}) \) A. Statement 1 is True, Statement 2 is True; Statement 2 i a correct explanation for Statement 1 B. Statement 1 is True, Statement 2 is True ; Statement 2 is NOT a correct explanation for Statement 1 c. statement 1 is True, Statement 2 is False D. Statement 1 is False, Statement 2 is True
2
Maths
Compute \( \operatorname{Lim} \frac{3^{x}-2^{x}}{x} \)
2
Maths
Carbon dioxide is the major component of greenhouse gases. A. True B. False
1
Chemistry
The chemical formula of starch is A \( \cdot\left(C_{6} H_{10} O_{5}\right)_{n} \) в. \( \left(C_{6} H_{12} O_{6}\right)_{n} \) c. \( C_{12} H_{22} O_{11} \) D. \( C H_{3} \) СООН
0
Biology
Halogenated hydrocarbons have many uses. What have halogenated hydrocarbons been used for? solvents 2 refrigerants 3 monomers in polymer manufacture \( A \cdot 1,2 \) and 3 are correct B. 1 and 2 only are correct c. 2 and 3 only are correct D. 1 only is correct
1
Chemistry
The torque of force \( \overrightarrow{\boldsymbol{F}}=(2 \hat{\boldsymbol{i}}-\boldsymbol{3} \hat{\boldsymbol{j}}+\boldsymbol{4} \hat{\boldsymbol{k}}) \) N acting at the point \( \vec{r}= \) \( (3 \hat{i}+2 \hat{j}+3 \hat{k}) m \) about origin is (in \( \mathrm{N}- \) \( \mathrm{m}) \) A . \( 6 \hat{i}-6 \hat{j}+12 \hat{k} \) B . \( 17 \hat{i}-6 \hat{j}-13 \hat{k} \) c. \( -6 \hat{i}+6 \hat{j}-12 \hat{k} \) D. \( -17 \hat{i}+6 \hat{j}+13 \hat{k} \)
3
Physics
A carnot cycle is having maximum efficiency because A. it comprises of two adiabatic process which requires no heat in its execution. B. it comprises of two isothermal process. C. its every process is reversible D. none of the above
3
Physics
Which of the following is not a true statement about detergents? A. Anionic detergents are sodium salts of sulphonated long chain alcohols or hydrocarbons. B. Cationic detergents are quarternary ammonium salts of amines with acetates, chlorides or bromides as ions. C. Non-ionic detergents do not contain any ion in their constitution. D. Detergents containing branched hydrocarbon chains are biodegradable.
1
Chemistry
\( \mathbf{5 0} \boldsymbol{m} \boldsymbol{L} \) of \( \mathbf{0 . 1} \boldsymbol{M} \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{O} \boldsymbol{H} \) is added to \( 75 m L \) of \( 0.1 M N H_{4} C l \) to make a basic buffer. If \( p K_{a} \) of \( N H_{4}^{+} \) is 9.26 calculate \( \boldsymbol{p} \boldsymbol{H} \) A .4 .44 B. 7.89 c. 9.56 D. 10.76
1
Chemistry
\( n \) Fig. 1.8 1.8 A. retardation is uniform B. velocity is decreasing with time c. beyond M, the body has negative velocity D. all the above are correct
3
Physics
Which one of the following is oxidised by \( \mathrm{MnO}_{2} ? \) A \( \cdot \mathrm{C}_{6} \mathrm{H}_{5}-\mathrm{CH}_{2}-\mathrm{OH} \) B. \( \mathrm{CH}_{2}=\mathrm{CH}-\mathrm{CH}_{2}-\mathrm{CH}-\mathrm{CH}_{3} \) c. \( \mathrm{CH}_{3}-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}-\mathrm{CH}_{3} \) D. \( \mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{OH} \)
1
Chemistry
What is the action of the following reagents on ammonia: (a) Nessler's reagent (b) Sodium metal
1
Chemistry
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{cl}\frac{\tan [x]-[x] \tan 1}{x} & ; \boldsymbol{x} \neq 0 \\ \boldsymbol{0} & ; \boldsymbol{x}=0\end{array}, \) then \right. \( \boldsymbol{f}^{\prime}\left(\mathbf{0}^{-}\right) \) is [where \( [\boldsymbol{x}] \) denotes integer part of \( \boldsymbol{x} \) A . 0 B. \( c \cdot-1 \) D. Does not exist
2
Maths
A card sheet divided into squares each of size \( 1 \mathrm{mm}^{2} \) is being viewed at a distance of \( 9 \mathrm{cm} \) through a magnifying glass (a converging lens of focal length \( 9 \mathrm{cm} \) ) held close to the eye.(a) What is the magnification produced by the lens? How much is the area of each square in the virtual image?(b) What is the angular magnification (magnifying power) of the lens?(c) Is the magnification in (a) equal to the magnifying power in (b)? Explain
3
Physics
Can the speed of a body be negative?
3
Physics
In an isosceles triangle, the base angles are equal. The vertex angle is \( 40^{\circ} . \) What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is \( 180^{\circ} \) ).
2
Maths
A number of methods are used for the manufacture of the alkali metal compounds. Accordingly match the processes listed in column-I with the compound(s) listed in column-II.
1
Chemistry
The moving air from the hair dryer removes the molecules of liquids as soon as they escape from the surface of your hair. Which factor of evaporation is responsible for the above example? A. Temperature B. Motion of air c. Nature of liquid D. Humidity of surrounding
3
Physics
How many steps are required for the following conversion?
1
Chemistry
A thin circular ring of mass \( M \) and radius \( r \) is rotating about its axis with constant angular velocity \( \omega . \) Two objects each of mass \( \mathrm{m} \) are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with angular velocity given by A \( \cdot \frac{(M+2 m) \omega}{2 m} \) в. \( \frac{2 M \omega}{M+2 m} \) c. \( \frac{(M+2 m) \omega}{M} \) D. \( \frac{M \omega}{M+2 m} \)
3
Physics
In a transformer, in which the losses may be neglected, the ratio of the primary voltage to secondary voltage is found to be \( 4: 1 . \) The ratio of the primary to secondary turns and the ratio of the primary current to secondary current are respectively in the ratio of : \( A \cdot 4: 1 \& 1: 4 \) B. \( 1: 4 \& 4: 1 \) c. \( 4: 1 \& 4: 1 \) D. \( 1: 4 \& 1: 4 \)
3
Physics
What is the distance in space between (1,0,5) and (-3,6,3)\( ? \) A . 4 B. 6 c. \( 2 \sqrt{11} \) D. \( 2 \sqrt{14} \) E . 12
2
Maths
Which one of the following represents a d-block element? \( \mathbf{A} \cdot[R n] 6 d^{10} 7 s^{2} 7 p^{2} \) B \( \cdot[X e] 4 f^{1} 5 d^{1} 6 s^{2} \) \( \mathbf{c} \cdot[X e] 4 f^{14} 5 d^{1} 6 s^{2} \) D \( \cdot[X e] 5 d^{1} 6 s^{2} \)
1
Chemistry
Which of the following has auxin like property? A. \( \alpha \) -Naphthalene acetic acid B. \( \beta \) -Naphthalene acetic acid c. Both (A) and (B) D. None of the above
0
Biology
Hybrid orbital having maximum p character is: \( A \cdot s p^{3} d \) В \( \cdot s p^{3} \) c. \( s p \) D. \( s p^{3} d^{2} \)
1
Chemistry
Lightning is a phenomenon A. Electromagnetic B. Current electricity c. Electrochemical D. Electrostatic
3
Physics
The differential equation of the family of curve \( \boldsymbol{y}^{2}=\mathbf{4} \boldsymbol{a}(\boldsymbol{x}+\boldsymbol{a}) \) is A \( \cdot y^{2}=4 \frac{d y}{d x}\left(x+\frac{d y}{d x}\right) \) B. \( \quad y^{2}\left(\frac{d y}{d x}\right)^{2}+2 x y \frac{d y}{d x}-y^{2}=0 \) c. \( y^{2} \frac{d y}{d x}+4=0 \) D. \( 2 y \frac{d y}{d x}+4 a=0 \)
2
Maths
State the two laws of reflection of light.
3
Physics
If someone grew lots of trees close to each other, would this become a forest?
0
Biology
When hydrogen burns in oxygen, is produced. A. water B. hydrogen peroxide c. acid D. base
1
Chemistry
Which of the following isomeric pairs shows ionization isomerism? \( \mathbf{A} \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{6}\right]\left[\operatorname{Cr}(C N)_{6}\right] \) and \( \left[\operatorname{Cr}\left(N H_{3}\right)_{6}\right]\left[\operatorname{Co}(C N)_{6}\right] \) \( \mathbf{B} \cdot\left[C r\left(H_{2} O\right)_{6}\right] C l_{3} \) and \( \left[C r\left(H_{2} O\right)_{5} C l\right] C l_{2} H_{2} O \) \( \mathbf{C} \cdot\left[P t\left(N H_{3}\right)_{2} C l_{2}\right] \) and \( \left[P t\left(N H_{3}\right)_{4}\right]\left[P t C l_{4}\right] \) \( \mathbf{D} \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{5} B r\right] S O_{4} \) and \( \left[C o\left(N H_{3}\right)_{5} S O_{4}\right] B r \)
1
Chemistry
Matter is composed of: A. atoms B. molecules C . tiny particles D. all of the above
1
Chemistry
A coin tossed vertically by a passenger sitting in a train that is moving with a uniform velocity, still returns to his palm. This demonstrates the principle of. A. Inertia(Newton's First Law of Motion) B. Conservation of angular momentum c. Addition of velocities of the train and the coin D. Addition of forces due to gravity and the toss of the coin
3
Physics
Two coins are tossed 1000 times and the outcomes are recorded as below: \( \mathbf{2} \) No of heads \( \mathbf{0} \) 250 Frequency \( 200 \quad 550 \) Based on this information, the probability for at most one head is \( \frac{a}{b} \) Where \( (a, b)=1, \) then A \( \cdot \frac{1}{5} \) в. \( c \cdot \frac{4}{5} \) D.
2
Maths
Two cells, having emfs of \( 10 V \) and \( 8 V \) respectively, are connected in series with a resistance of \( 24 \Omega \) in the external circuit. If the internal resistances of each of these cells in ohm are \( 200 \% \) of the value of their emf's respectively, find the terminal potential difference \( \operatorname{across} 8 V \) battery. A \( .0 .3 A, 3.2 V \) B. \( 0.5 A, 3.2 V \) c. \( 0.3 A, 1.2 V \) D. \( 0.5 A, 2.2 V \)
3
Physics
Total numbers of hybrid orbitals present \( \operatorname{in} C H_{3}-C \equiv C H \) are: \( \mathbf{A} \cdot \mathbf{8} \) B. 6 \( c \cdot 4 \) D.
1
Chemistry
If \( f(x)=\operatorname{sgn}\left(x^{5}\right) \) then which of the following is/are false (where sgn denotes signum function) This question has multiple correct options \( \mathbf{A} \cdot f^{\prime}\left(0^{+}\right)=1 \) B. \( f^{\prime}\left(0^{-}\right)=1 \) C. \( f \) is continuous but not differentiable at \( x=0 \) D. fis discontinuous at \( x=0 \)
2
Maths
The capacitive reactance at \( 1600 H z \) is 81 \Omega. When the frequency is doubled then capacitive reactance will be A . \( 40.5 \Omega \) в. \( 81 \Omega \) \( c \cdot 162 \Omega \) D. Zero
3
Physics
Which of the following vessel in rabbit starts with capillaries and ends in capillaries? A. Pulmonary artery B. Renal vein c. Hepatic portal vein D. Renal artery
0
Biology
Find the value of \( f(x)=x^{3}-3 x+5 \) at \( \boldsymbol{x}=\mathbf{1 . 9 9} \)
2
Maths
Find the direction cosine \( l, \boldsymbol{m}, \boldsymbol{n} \) of line which are connected by the relations \( \boldsymbol{l}+\boldsymbol{m}+\boldsymbol{n}=\mathbf{0} . \boldsymbol{2 m} \boldsymbol{n}+\boldsymbol{2} \boldsymbol{m} \boldsymbol{l}-\boldsymbol{n l}=\mathbf{0} \)
2
Maths
If \( u \) denotes 1 atomic mass unit. One atom of an element has mass exactly equal to \( A u, \) where \( A \) is mass number of element. \( \mathbf{A} \cdot A=1 \) B. \( A=12 \) c. \( A=16 \) D. \( A \) can take up any integral value from 1 to 110
3
Physics
The probability that \( A \) hit a target is \( 1 / 4 \) and the probability that \( B \) hits the target is \( 1 / 3 . \) If each of them fired once, what is the probability that the target will be hit atleast once?
2
Maths
Write the structures of \( \left(\mathbf{C H}_{3}\right)_{3} \mathbf{N} \) and \( \left(M e_{3} S i\right)_{3} N . \) Are they isostructural? Justify your answer.
1
Chemistry
If the projection of point \( \boldsymbol{P}(\overrightarrow{\boldsymbol{p}}) \) on the plane \( \vec{r} \cdot \vec{n}=q \) is the point \( S(\vec{s}), \) then? A \( \cdot \vec{s}=\frac{(q-\vec{p} \cdot \vec{n}) \vec{n}}{|\vec{n}|^{2}} \) В \( \cdot \vec{s}=\vec{p}+\frac{(\vec{p} \cdot \vec{n}-q)}{|\vec{n}|^{2}} \vec{n} \) C・ \( _{\vec{s}}=\vec{p}-\frac{(\vec{p} \cdot \vec{n}) \vec{n}}{|\vec{n}|^{2}} \) D \( \vec{s}=\vec{p}-\frac{(q-\vec{p} \cdot \vec{n}) \vec{n}}{|\vec{n}|^{2}} \)
2
Maths
are the non-living components of the cell. A. Lysosomes B. Vacuoles c. Nuclei D. Golgi bodies
0
Biology
Which of the following are chemical changes? (i) Melting of iron metal (ii) Rusting of iron (iii) Bending of an iron rod (iv) Drawing a wire of iron metal A. only (ii) B. (ii) and (iii) c. (iii) and (iv) D. (i) and (iv)
1
Chemistry
What is the change in the temperature on Fahrenheit scale and on Kelvin scale, if a iron piece is heated from \( 30^{\circ} \) to \( 90^{\circ} \mathrm{C} ? \) A \( \cdot 108^{\circ} F, 60 K \) в. \( 100^{\circ} F, 55 K \) c. \( 100^{\circ} F, 65 K \) D. \( 60^{\circ} F, 108 K \)
3
Physics
\( \boldsymbol{p} \boldsymbol{H} \) of \( \boldsymbol{B a}(\boldsymbol{O H})_{2} \) solution is 12. Its solubility product is : A \( .5 .0 \times 10^{-7} \) B. \( 0.6 \times 10^{-12} \) c. \( 4.0 \times 10^{-8} \) D. \( 5.0 \times 10^{-9} \)
1
Chemistry
Solve \( \& \) graph the solution set of \( -2< \) \( 2 x-4 \) and \( -2 x+5 \geq 13, x \epsilon R \)
2
Maths
If \( n \) is the orbit number of the electron in a hydrogen atom, the correct statement among the following is A. Electron energy increases as \( n \) increases B. Hydrogen emits infrared rays for the electron transition from \( n=\infty \) to \( n=1 \) C. Electron energy is zero for \( n=1 \) D. Electron energy varies as \( n^{2} \)
3
Physics
The functional groups present in the following compound is: \( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{O H} \) A. ketone B. alcohol c. aldehyde D. carboxylate
1
Chemistry
Although chlorine is an electron withdrawing group yet it is ortho, para directing in nature. Why?
1
Chemistry
The type of teeth used to tear a sugarcane is A. Incisors B. Canines c. Premolars D. Molars
0
Biology
1 Hz is: A. 1 vibration per minute. B. 360 vibration per minute. C . 10 vibration per minute. D. 60 vibration per minute.
3
Physics
\( \mu=\sqrt{15} \) is true for the pair: A \( \cdot C o^{+2}, C r^{+3} \) B. \( F e^{+2}, C r^{+3} \) c. \( F e^{+3}, C r^{+2} \) D. \( M n^{+2}, F e^{+2} \)
1
Chemistry
Of the following complex ions, one is a Bronsted-lowry acid. That one is: \( \mathbf{A} \cdot\left[C u\left(N H_{3}\right)_{4}\right]^{2+} \) B. \( \left[F e C l_{4}\right]^{-} \) c. \( \left[\mathrm{Fe}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{3+} \) D. \( _{\left[Z n(O H)_{4}\right]^{2-}} \)
1
Chemistry
Two cats Billy and Kitty together catch 60 mice. If Billy catches three mice for every two caught by Kitty, the number of mice caught by Kitty is A .24 B. 30 \( c . \) 36 D. 40
2
Maths
If \( \frac{a+3 i}{2+i b}=1-i, \) show that \( (5 a- \) \( 7 b)=0 \)
2
Maths
The spontaneous change in specific rotation of an opacity active compound is called ? A. Mutarotation B. Rearrangements c. Inversion D. Retention
1
Chemistry
The name of the compound is cyclohexylidene methanone. A . True B. False
1
Chemistry
Evaluate \( 1.6+2.9+3.12+\ldots+ \) \( \mathbf{n}(\mathbf{3 n}+\mathbf{3})= \) A \( \cdot n(n+1)(n+2) \) B. \( (n+1)(n+2)(n+3) \) c. \( (n+2)(n+3)(n+4) \) D. \( (n-1) n(n+1) \)
2
Maths
Differentiate between. Inspiratory capacity and expiratory capacity
0
Biology
If the expression \( \frac{x-p}{x^{2}-3 x+2} \) takes all real values for \( x \in R \) then find the limits for 'p'.
2
Maths
\( x^{2}-2 x+1 ; 2 x \) multiply this polynomial
2
Maths
What should be subtracted from \( 2 a^{2}- \) \( b^{2}+3 a^{2} b \) to get \( a^{2}+b^{2}+3 a b^{2}-6 ? \)
2
Maths
Intra-abdominal testes are found in A. Bat B. Elephant c. whale D. All of the above
0
Biology
A mass is suspended from the end of a spring. When the system is oscillating the amplitude of oscillation is \( 4 \mathrm{cm} \) and the maximum kinetic energy of oscillation of the system is 1 joule. Then the force constant of the spring is: A. \( 2500 \mathrm{N} / \mathrm{m} \) в. \( 1250 \mathrm{N} / \mathrm{m} \) c. \( 500 \mathrm{N} / \mathrm{m} \) D. \( 250 \mathrm{N} / \mathrm{m} \)
3
Physics
If the sum of adjacent angles of a quadrilateral is equal to \( 180^{\circ}, \) then quadrilateral is A . a parallelogram B. connex c. concave D. none of the above
2
Maths
Suggest a reason as to why \( C O \) is poisonous.
1
Chemistry
Newton's law of motion cannot be applicable to the particle moving at a speed comparable to the speed of A. Light B. Sound c. Rocket D. Bullettrain
3
Physics
Glycolate metabolism occurs in A. Lysosome B. Ribosomes c. Glyoxysomes D. Peroxisome
0
Biology
\( (x-2) \) is a factor of the expression \( x^{3}+ \) \( a x^{2}+b x+6 . \) when this expression is divided by \( (x-3), \) it leaves the remainder \( 3 . \) find the values of a and \( b \)
2
Maths
What is the average power dissipation in an ideal capacitor in AC circuit? \( \mathbf{A} \cdot 2 C V^{2} \) в. \( \frac{1}{2} C V^{2} \) c. \( Z \) ero D. \( C V^{2} \)
3
Physics
Which of the following factors are responsible for the increase in the rate of a surface catalysed reaction? I. A catalyst provides proper orientation for the reactant molecules to react II. Heat of adsorption of reactants on a catalyst helps reactant molecules to.overcome activation energy III. The catalyst increases the activation energy of the reaction IV. Adsorption increases the local concentration of reactant molecules on the surface of the catalyst Select the correct answer using the codes given below: A . I and II B. I and III c. ।, ॥ land IV D. I, II and III
1
Chemistry
Hygroscopic roots occur in A. Vanda B. Rhizophora C . Bryophyllum D. All the above
0
Biology
If \( \vec{a} \) and \( \vec{b} \) are non-collinear vectors and \( \boldsymbol{A}=(\boldsymbol{p}+\mathbf{4} \boldsymbol{q}) \boldsymbol{a}+(\boldsymbol{2} \boldsymbol{p}+\boldsymbol{q}+\mathbf{1}) \boldsymbol{b} \) \( \boldsymbol{B}=(-\mathbf{2} \boldsymbol{p}+\boldsymbol{q}+\mathbf{2}) \boldsymbol{a}+(\mathbf{2} \boldsymbol{p}-\boldsymbol{3} \boldsymbol{q}-\mathbf{1}) \boldsymbol{b} \) then determine \( p \) and \( q, \) so that \( 3 A= \) \( 2 B \) A. \( p=1 \) and \( q=-0.3 \) B. \( p=-1 \) and \( q=1.1 \) C. \( p=2 \) and \( q=-1 \) D. \( p=-2 \) and \( q=1.8 \)
2
Maths
The formulae of chloride of metal \( M \) is \( M C l_{2} . \) The metal \( M \) belongs to group.
1
Chemistry
The last element in period 2 is lithium A. True B. False
1
Chemistry
Name one metal that reacts slowly with dil. sulphuric acid : A. Iron B. Ferrous sulphate c. Hydrogen D. All of these
1
Chemistry
The structure given below represents: \[ \mathrm{CH}_{3}-\underbrace{\mathrm{CH}_{3}}_{\mathrm{CH}_{3}}-\mathrm{NH}_{2} \] A. quarternary ammonium Salt B. primary amine. c. secondary amine. D. tertiary amine.
1
Chemistry
A converging lens (focal length \( ^{\prime} f^{\prime} \) ) is broken in two equal pieces and placed at \( 60 \mathrm{cm} \) as shown along with the object. It is found that real images are formed at the same place and ratio of image heights is \( 9: 1, \) if the value of \( ^{\prime} f^{\prime} \) is \( \left(22+\frac{1}{x}\right) \mathrm{cm} \) then value of \( ^{\prime} x^{\prime} \) is :
3
Physics
A flat, square surface with sides of length L is described by the equations. \( \boldsymbol{x}=\boldsymbol{L}, \mathbf{0} \leq \boldsymbol{y} \leq \boldsymbol{L}, \mathbf{0} \leq \boldsymbol{z} \leq \boldsymbol{L} \) The electric flux through the square due to a positive point charge q located at the origin( \( x=0, y=0, z=0 \) ) is A. \( \frac{q}{4 \varepsilon_{o}} \) в. \( \frac{q}{6 \varepsilon_{o}} \) c. \( \frac{q}{24 \varepsilon_{o}} \) D. \( \frac{q}{48 \varepsilon_{o}} \)
3
Physics
The most abundant element in the universe is: A. helium B. oxygen c. silicon D. hydrogen
1
Chemistry
Two balls of masses \( 2 g \) and \( 6 g \) moving with \( K E \) in the ratio of \( 3: 1, \) What is the ratio of their linear momenta? A . 1: 1 B . 2: 1 \( c \cdot 1: 2 \) D. None of these
3
Physics
From the top of a tower, a particle is thrown vertically downwards with a velocity of \( 10 \mathrm{m} / \mathrm{s} \). The ratio of the distances, covered by it in the \( 3^{r d} \) and \( 2^{n d} \) seconds of the motion is (Take \( g= \) \( \left.\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \) A . 5: 7 B. 7: 5 \( c \cdot 3: 6 \) D. 6: 3
3
Physics
What is the value of \( \sqrt{441} ? \) A . 20 в. 2 \( c \cdot 22 \) D. None of these
2
Maths