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Which of the following name is given to the hydrochloric acid by Lavoiser? A. Mutaric acid B. Glutaric acid c. Tartaric acid D. King of acids
1
Chemistry
A : The phase difference between any two points on a wave front is zero \( \mathrm{R}: \) From the source light, reaches every point on the wave front in the same time. \( A . \) Both \( A \) and \( R \) are true, and \( R \) is correct explanation of \( A \) B. Both A and R are true, and R is not correct explanation of \( A \) C. A is true but R is false D. A is false but R is true
3
Physics
The equation of line on which magnetic field is zero due to system of two perpendicular infinitely long current carrying straight wires, is A. \( x=y \) B. \( x=2 y \) c. \( x=3 y \) D. \( 3 x=y \)
3
Physics
Identify the correct statement regarding enzymes: A. Enzymes are specific biological catalysts that can normally function at very high temperatures \( (T-1000 K) \) B. Enzymes are normally heterogeneous catalysts that are very specific in their action. C. Enzymes are specific biological catalysts that cannot be poisoned D. Enzymes are specific biological catalysts that possess well defined active sites.
1
Chemistry
Calculate Moment of force \( F_{2} \) about \( O \) A. \( 10 N m \) (clockwise) B. \( 10 N \) m (anti clockwise) c. \( 12 N m \) (clockwise). D. \( 12 N m \) (anti clockwise)
3
Physics
Which was the first antibacterial discovered by Paul Ehrlich? A. Salvarsan B. Syphilis c. codeine D. None of these
1
Chemistry
Molten iron from the blast furnace contains impurities. The process of turning the impure iron into steel involves blowing oxygen into the molten iron and adding calcium oxide. What are the reasons for blowing in oxygen and adding calcium oxide? A. Carbon is removed by reaction with oxygen, reacts with acidic impurities making slag B. Carbon is removed by reacting with oxygen, reacts with slag and so removes it C. Iron reacts with the oxygen, reacts with acidic impurities making slag D. Iron reacts with the oxygen, reacts with slag and so removes it
1
Chemistry
Triradiate vascular bundles can be traced in A. Monocot root B. Dicot root c. Monocot stem D. Dicot stem
0
Biology
sliding along its length on a horizontal table whose top is partly smooth and rest roughly with friction coefficient \( \mu . \) If the rod after moving through the smooth part enters the rough with velocity \( \boldsymbol{v}_{\mathbf{0}} \) (i) What will be the magnitude of the friction force when its \( x \) length \( (<L) \) lies in the rough part during sliding. (ii) Determine the minimum velocity \( \boldsymbol{v}_{\mathbf{0}} \) with which it must enter so that it lies completely in a rough region before coming to rest. (iii) If the velocity is double the minimum velocity as calculated in part (a) then what distance does its front end \( A \) would have travelled in a rough region before rod comes to rest.
3
Physics
Which of the following statement gives the correct explanation of the fact that solubility of alkali metal fluorides increases down the group? A. Hydration energy increases and lattice energy decreases down the group B. Both energy decrease down the group but decrease in hydration energy is rapid. c. Both energy decrease down the group but decrease in lattice energy is more D. Both energy increase down the group but increase in hydration energy is rapid.
1
Chemistry
Assertion Increase in pressure does not cause a shift in equilibrium for the formation of \( \boldsymbol{H} \boldsymbol{I} \) Reason Formation of \( H I \) is an exothermic reaction. A. If both assertion and reason are correct and reason is the correct explaination of the assertion. B. If both assertion and reason are correct, but reason is not the correct explanation of the assertion c. If assertion is correct, but reason is incorrect D. If assertion is incorrect, but reason is correct
1
Chemistry
State true or false: In a trapezium \( A B C D \) in which \( A B \) is parallel to \( D C \) and \( A D=B C \), then \( \angle A D C=\angle B C D \) A. True B. False
2
Maths
According to Bohr's model of hydrogen atom, relation between principal quantum number n and radius of stable orbit is \( \mathbf{A} \cdot r \propto \frac{1}{n} \) B . \( r \propto n \) \( c \cdot r \propto \frac{1}{n^{2}} \) D \( \cdot r \propto n^{2} \)
3
Physics
A farmer divided his aquare - shaped land into three parts, as shown.he gave two parts to mukesh and the third part to naresh. how much land did each get?
2
Maths
Mass of Jupiter is ............ times that of Earth A . 318 B. 195 \( c \cdot 95 \) D. 0.8
3
Physics
Aman sold an article to Ramesh at a loss of \( 6 \% \). Ramesh sold it to Manish at a gain of \( 4 \% \). If Aman's original price was \( 252.50, \) what was Manish's CP?
2
Maths
Which of the following represents the electronic configuration of d-block elements? A \( \cdot(n-1) s^{2} n d^{1-10} \) B . \( (n-1) d^{1-10} n s^{1-2} \) C \( \cdot(n-1) s^{2} p^{6} n s^{1} \) D. \( n s^{2} p^{2} d^{1} \)
1
Chemistry
\( \boldsymbol{S} \boldsymbol{c}^{\boldsymbol{3}+} \) is colorless. If the given statement is true enter 1 else enter 0
1
Chemistry
Charge can neither be \( \ldots \) nor A. Created, Destroyed B. Positive, Negative c. Negative, Positive D. None of the above
3
Physics
Find the smallest number by which 135 must be divided, so that the quotient is a perfect cube A . 3 B. 5 \( c .9 \) D. 15
2
Maths
\( \left|\begin{array}{ccc}\mathbf{1} & \boldsymbol{a} & \boldsymbol{a}^{2}-\boldsymbol{b} \boldsymbol{c} \\ \mathbf{1} & \boldsymbol{b} & \boldsymbol{b}^{2}-\boldsymbol{c} \boldsymbol{a} \\ \mathbf{1} & \boldsymbol{c} & \boldsymbol{c}^{2}-\boldsymbol{a} \boldsymbol{b}\end{array}\right|=? \) \( \mathbf{A} \cdot \mathbf{5} \) B. abc \( c \cdot 1 \) \( D \)
2
Maths
Solve: \( \left(\sqrt{3}+\tan 1^{0}\right) \)
2
Maths
Evaluate the definite integral \( \int_{0}^{\frac{\pi}{2}} \cos 2 x d x \)
2
Maths
If \( \boldsymbol{f}(\boldsymbol{x})=\left[\mathbf{9}^{x}-\mathbf{3}^{x}+\mathbf{1}\right], \boldsymbol{x} \in(-\infty, \mathbf{1}) \) then number of integers in the range of \( f(x) \) is (where [.] denotes greatest integer function)
2
Maths
On reaction with chlorine in sunlight, sulphur dioxide gives: A. addition reaction B. displacement reaction c. substitution reaction D. all of these
1
Chemistry
What is diazotisation?
1
Chemistry
\( \mathbf{A} \) is a region around a magnet where magnetic lines of force act.
3
Physics
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C l} \stackrel{\text {alc.KOH}}{\longrightarrow} \) \( \frac{B r_{2} / C C l_{4}}{Z n / a l c o h o l i c} C \) \( C \) is: A. acetylene B. ethylene c. ethane D. methane
1
Chemistry
The area of regular hexagon if its side is \( 4 c m \) A \( .24 \sqrt{3} \) B. \( 4 \sqrt{3} \) \( c \cdot 5 \sqrt{3} \) D. \( 2 \sqrt{3} \)
2
Maths
A radioactive substance \( X \) decays into another radioactive substance \( Y \) Initially only \( X \) was present, \( \lambda x \) and \( \lambda y \) are the disintegration constants of \( \boldsymbol{X} \) and \( Y . N_{x} \) and \( N_{y} \) are the number of nuclei of \( X \) and \( Y \) at any time \( t \) Number of nuclei \( N_{y} \) will be maximum when A \( \cdot \frac{N_{y}}{N_{x}-N_{y}}=\frac{\lambda_{y}}{\lambda_{x}-\lambda_{y}} \) В. \( \frac{N_{x}}{N_{x}-N_{y}}=\frac{\lambda_{x}}{\lambda_{x}-\lambda_{y}} \) \( c \cdot \frac{\lambda_{y}}{N_{y}}=\frac{\lambda_{x}}{N_{x}} \) \( \mathbf{D} \cdot \lambda_{y} N_{y}=\lambda_{x} N_{x} \)
3
Physics
If \( \boldsymbol{D}_{\boldsymbol{r}}=\left|\begin{array}{ccc}\boldsymbol{r} & \boldsymbol{x} & \frac{\boldsymbol{n}(\boldsymbol{n}+\mathbf{1})}{\mathbf{2}} \mid \\ \boldsymbol{2 r}-\boldsymbol{1} & \boldsymbol{y} & \boldsymbol{n}^{2} \\ \boldsymbol{3 r}-\boldsymbol{2} & \boldsymbol{z} & \frac{\boldsymbol{n}(\boldsymbol{3} \boldsymbol{n}-\mathbf{1})}{\mathbf{2}}\end{array}\right|, \) then \( \sum_{r=1}^{n} D_{r} \) is equal to A \( \cdot \frac{1}{6} n(n+1)(2 n+1) \) B. \( \frac{1}{4} n^{2}(n+1)^{2} \) \( c \cdot 0 \) D. none of these
2
Maths
A semicircular wire of radius \( \boldsymbol{R} \) is rotated with constant angular velocity about an axis passing through one end and perpendicular to the plane of the wire. There is a uniform magnetic field of strength \( B \). The induced emf between the ends is \( \mathbf{A} \cdot B \omega R^{2} / 2 \) в. \( 2 B \omega R^{2} \) C. is variable D. none of these
3
Physics
An alkyl halide reacts with alcoholic ammonia in a sealed tube, the product formed will be A . a primary amine B. a secondary amine c. a tertiary amine D. All of the above
1
Chemistry
Equal volumes of two immiscible liquids of densities \( \rho \) and \( 2 \rho \) are filled in a vessel as shown in figure. Two small holes are punched at depth h/2 and 3h/2 from the surface of lighter liquid. If \( V_{1} \) and \( V_{2} \) are the velocities of a flux at these two holes, then \( V_{1} / V_{2} \) is : \( A \) B. \( \frac{1}{2} \) \( c \cdot 1 \) \( \overline{4} \) D. \( \frac{1}{\sqrt{2}} \)
3
Physics
What is the average translational kinetic energy of a molecule of an ideal gas at temperature of \( 27^{\circ} \mathrm{C} \)
3
Physics
An electron and a proton have the same De Broglie wavelength. Then the kinetic energy of the electron is: A. zero B. Infinity c. Equal kinetic energy of proton D. Greater than the kinetic energy of proton
3
Physics
If \( \bar{a}=4 \bar{i}+6 \bar{j} \) and \( \bar{b}=3 \bar{j}+4 \bar{k}, \) then the vector form of the component of \( \bar{a} \) along \( \bar{b} \) is A \( \cdot \frac{18(3 \bar{j}+4 \bar{k})}{10 \sqrt{3}} \) B. \( \frac{18(3 \bar{j}+4 \bar{k})}{25} \) c. \( \frac{18(3 \bar{j}+4 \bar{k})}{\sqrt{13}} \) D. \( \frac{(3 \bar{j}+4 \bar{k})}{25} \)
2
Maths
Consider the following statements about electroplating: I. Electroplating is the coating of metal objects with a thin layer of a different metal. II. Electroplating makes objects look more attractive and protects them from corrosion and rusting. III. Electroplating forms and envelops around the object to protect them from magnetism. Which of the above statements is true? A. Only statement I c. Statements land II D. Statements II and III E. All of the above statements
3
Physics
Two coils \( A \) and \( B \) have mutual inductance \( 2 \times 10^{-2} \) henry. If the current in the primary is \( i= \) \( 5 \sin (10 \pi t) \) then the maximum value of e.m.f. induced in coil \( B \) is \( \mathbf{A} \cdot \pi \) volt в. \( \frac{\pi}{2} \) volt c. \( \frac{\pi}{3} \) volt D. \( \frac{\pi}{4} \) volt
3
Physics
The chemical properties of the elements of matter have been found to repeat is regular patterns. This pattern can be seen in the arrangement of atoms in the: A. nutrition table B. calculus table c. periodic table D. chemical table
1
Chemistry
\( \mathrm{Zn}(30): 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{10} 4 s^{2} \) How to find valency of zinc by electronic configuration?
1
Chemistry
There are six plates of equal are \( A \) and separation between the plates is \( d(d<<A) \) are arranged as shown in figure. The equivalent capacitance between points 2 and \( 5, \) is \( \alpha \frac{\varepsilon_{0} A}{d} . \) Then find the value of \( \boldsymbol{\alpha} \)
3
Physics
In absence of friction A. our shoes will remain intact B. we will not be able to walk C. we will be able to slide smoothly D. all the above will happen
3
Physics
Soft soaps are: A. sodium salts of fatty acids B. potassium salts of fatty acids, containing excess of free alkali C. potassium salts of fatty acids, containing no free alkali D. calcium salts of fatty acids
1
Chemistry
The AP whose first term is 10 and common difference is 3 is B. \( 5,7,9,11, \ldots \) c. \( 8,12,16,20, \dots \) D. All the above
2
Maths
The first step in the hydrometallurgical process is A. Filteration B. Electrolysis c. Reduction D. Leaching
1
Chemistry
Which of the following forms a white precipitate when added to a solution of NaCl? A \( \cdot N_{2} \) в. \( K I \) c. \( C C l_{4} \) D. \( A g N O_{3} \) ह. \( C a C O_{3} \)
1
Chemistry
\( 6.24 g \) of ethanol are vaporized by supplying \( 5.89 k j \) of heat energy. What is enthalpy of vaporisation of ethanol?
1
Chemistry
A black and a red die are rolled together. Find the conditional probability of obtaining the sum 8 , given that the red die resulted in a number less than 4
2
Maths
Assertion Every vibrating body is a source of Sound Reason All sounds are audible 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
Polymer used in bullet proof glass is: A. Iexan в. РММА c. nomex D. kevlar
1
Chemistry
Rainbow is formed due to which of the following? A. By dispersion of sunlight through water droplets present in the atmosphere B. By scattering of sunlight through water droplets present in the atmosphere C. By reflection of sunlight through water droplets present in the atmosphere D. None of the above
3
Physics
Which of the given element will form a covalent compound with \( \boldsymbol{O}: \boldsymbol{K} \boldsymbol{o} \boldsymbol{r} \boldsymbol{N} \) A . \( N \) в. \( K \) c. Both D. No one
1
Chemistry
The initial velocity of a particle is \( u(\mathrm{at} \) \( t=0 \) ) and the acceleration a is given by \( \alpha t^{3 / 2} . \) Which of the following relations is valid? A \( \cdot v=u+\alpha t^{3 / 2} \) B. \( v=u+\frac{3 \alpha t^{3}}{2} \) c. \( v=u+\frac{2}{5} \alpha t^{5 / 2} \) D. \( v=u+\alpha t^{5 / 2} \)
3
Physics
If a manjumps out from a boat, the boat moves backward. Explain.
3
Physics
If \( \frac{\mathbf{3} \boldsymbol{x}+\boldsymbol{a}}{\boldsymbol{x}^{2}+\mathbf{3} \boldsymbol{x}+\mathbf{2}}=\frac{\boldsymbol{A}}{\boldsymbol{x}-\mathbf{2}}-\frac{\mathbf{1 0}}{\boldsymbol{x}-\mathbf{1}}, \) then \( \boldsymbol{a}=\ldots \) and \( \boldsymbol{A}=\ldots \) A \( \cdot a=7, A=13 \) 3 В. \( a=11, A=13 \) c. \( a=13, A=7 \)
2
Maths
The structure given below is known as: where \( \mathbf{R}=\langle\square\rangle-\mathrm{CH}_{2}-\mathrm{I}-\mathrm{NH}- \) A. penicillin F B. penicillin G c. penicillin D. ampicillin
1
Chemistry
Which among the following genus of the bryophyte have ecological value? A. Funaria B. Riccia c. sphagnum D. Anthoceros
0
Biology
If \( k \) is a scalar and \( A \) is an \( n \times n \) square matrix, then \( |\boldsymbol{k} \boldsymbol{A}|= \) A \( \cdot k|A|^{n} \) в. \( k|A| \) c \( \cdot k^{n}\left|A^{n}\right| \) D \( \cdot k^{n}|A| \)
2
Maths
Count total number of significant figures in 3500 \( \mathbf{A} \cdot \mathbf{1} \) B. 2 \( c \cdot 3 \) \( D \)
3
Physics
Exactly one right? \( A \cdot \frac{2}{5} \) B. \( \frac{2}{3} \) \( c \cdot \frac{3}{5} \) D.
2
Maths
In case of theory of light nature of light match the following: List - I List - II a) Light is a collection of e) Newton's theory photons b) Light is a form of f) Huygen's theory electromagnetic wave g) Maxwell's c) Light is a wave d) Light is a stream of h) Max planck's corpuscles theory \( \mathbf{A} \cdot \mathrm{a}-\mathrm{h} ; \mathrm{b}-\mathrm{g} ; \mathrm{c}-\mathrm{f} ; \mathrm{d}-\mathrm{e} \) B. \( a-e ; b-f ; c-g ; d-h \) C. \( a-g ; b-h ; c-g ; d-f \) D. \( a-h ; b-g ; c-e ; d-f \)
3
Physics
Identify the action that can cause motion of a book placed on a table. A. Pulling B. Pushing c. Lifting D. All of the above
3
Physics
Using vector method, find the incentre of the triangle whose vertices are \( P(0,4,0), Q(0,0,3) \) and \( R(0,4,3) \)
2
Maths
If the pressure in a closed vessel is reduced by drawing out some gas, the mean-free path of molecules: A. is decreased B. is increased c. remains unchanged D. increases or decreases according to the nature of the gas
3
Physics
Solve: \( 16 a^{3}-\frac{128}{b^{3}} \)
2
Maths
What is the molecular formula of Magnesium Pyrophosphate formed during Carius method for estimation of phosphorous in organic compound? A. \( M g_{2} P_{2} O_{7} \) в. \( M g_{2} P_{2} O_{5} \) \( \mathrm{c} \cdot M g_{2} P O_{4} \) D. \( M g P_{2} O_{5} \)
1
Chemistry
Find the first four terms of an \( A P \) whose first term is \( 3 x+y \) and common Difference is \( \boldsymbol{x}-\boldsymbol{y} \)
2
Maths
Describe the construction and working of Van de graff generator making the labelled diagram.
3
Physics
A following mechanism has been proposed for a reaction: \( \mathbf{2} \boldsymbol{A}+\boldsymbol{B} \rightarrow \boldsymbol{D}+\boldsymbol{E} \) \( \boldsymbol{A}+\boldsymbol{B} \rightarrow \boldsymbol{C}+\boldsymbol{D} \quad(\text { slow }) \) \( \boldsymbol{A}+\boldsymbol{C} \rightarrow \boldsymbol{E} \quad(\text { fast }) \) The rate law expression for the reaction is: \( \mathbf{A} \cdot \mathbf{r}=k[A]^{2}[B] \) B. \( r=k[ \) A][B] \( \mathbf{C} \cdot r=k[A]^{2} \) D. \( r=k[A][C] \)
1
Chemistry
What is the correct order of thermal stability of carbonates of alkaline earth metals? A \( \cdot B e C O_{3}>M g C O_{3}>C a C O_{3}>S r C O_{3}>B a C O_{3} \) в. \( B e C O_{3}<M g C O_{3}<C a C O_{3}<S r C O_{3}<B a C O_{3} \) c. \( B e C O_{3}<M g C O_{3}>C a C O_{3}>S r C O_{3}<B a C O_{3} \) D. \( B e C O_{3}>M g C O_{3}<C a C O_{3}<S r C O_{3}<B a C O_{3} \)
1
Chemistry
Which of the following is not a balanced equation? A \( \cdot C a(O H)_{2}+C O_{2} \rightarrow C a C O_{3}+H_{2} O \) в. \( F e+C u S O_{4} \rightarrow F e S O_{4}+C u \) c. \( K C l O_{4} \stackrel{\Delta}{\longrightarrow} K C l+2 O_{2} \) D. \( C u+2 H N O_{3} \rightarrow C u\left(N O_{3}\right)_{2}+2 N O_{2}+H_{2} O \)
1
Chemistry
What are the products obtained upon the ozonolysis of 2 -pentene? This question has multiple correct options A. \( C H_{3} C H_{2} C H O \) в. \( C H_{3} C H O \) c. \( C H_{3} \) COCH\( _{3} \) D. \( C H_{3} C O C H_{2} C H_{3} \)
1
Chemistry
A table fan, rotating at a speed of 2400 rpm is switched off and the resulting variation of the rpm with time is shown in the figure. The total number of revolutions of the fan before it comes to rest is: A. 420 B. 280 \( c \cdot 480 \) D. 380
3
Physics
If \( \boldsymbol{x}=\boldsymbol{y}(\log \boldsymbol{x} \boldsymbol{y}) \) then find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
2
Maths
In a series \( L C R \) circuit, the voltage across the resistance, capacitance and inductance is \( 10 V \) each. If the capacitance is short circuited, the voltage across the inductance will be : A. \( 10 V \) B. \( \frac{10}{\sqrt{2}} V \) c. \( \frac{10}{3} V \) D. 20 \( V \)
3
Physics
A straight conductor of uniform cross- section carries a current, \( I \). If \( ^{\prime} s^{\prime} \) is the specific charge of an electron, the momentum of all the free electrons per unit length of the conductor, due to their drift velocity only, is A . Is в. \( \sqrt{\frac{I}{s}} \) c. \( \frac{1}{s} \) \( \left(\frac{I}{s}\right)^{2} \)
3
Physics
A metal ball \( B_{1} \) (density \( 3.2 \mathrm{g} \mathrm{cm}^{-3} \) ) is dropped in water while another metal ball \( B_{2} \) (density \( 6.0 \mathrm{g} \mathrm{cm}^{-3} \) ) is dropped in a liquid of density \( 1.6 \mathrm{g} \mathrm{cm}^{-3} \). If both the balls have the same diameter and attain the same terminal velocity, the ratio of viscosity of water to that of the liquid is: A . 2. B. 0.5 \( c \cdot 4.0 \) D. indeterminate due to insufficient data
3
Physics
Total number of products in the given reaction: (excluding steroisomers) \( \boldsymbol{C}_{6} \boldsymbol{H}_{5} \boldsymbol{C H} \boldsymbol{O}+\boldsymbol{C H}_{3}-\boldsymbol{C H O} \frac{\boldsymbol{\Delta}}{_{\boldsymbol{O} \boldsymbol{H}}} \) product will be: A. one B. two c. three D. four
1
Chemistry
0.1 mole of \( N_{2} O_{4}(g) \) was sealed in a tube under one atmosphere conditions at \( 25^{\circ} \mathrm{C} \). Calculate the number of moles of \( N O_{2}(g) \) present, if the equilibrium \( N_{2} O_{4}(g) \rightleftharpoons 2 N O_{2}(g)\left(K_{p}=0.14\right) \) is reached after some time :- A \( .1 .8 \times 10^{2} \) B . \( 2.8 \times 10^{2} \) c. 0.037 D. \( 2.8 \times 10^{-2} \)
1
Chemistry
The equilibrium constant for the reaction, \( \boldsymbol{S n}(\boldsymbol{s})+\boldsymbol{2} \boldsymbol{H}^{+} \rightarrow \boldsymbol{S} \boldsymbol{n}^{2+}+ \) \( \boldsymbol{H}_{2}(\boldsymbol{g}) \boldsymbol{a} \boldsymbol{t} \boldsymbol{2} \boldsymbol{5}^{\circ} \boldsymbol{C} \) is: \( \boldsymbol{E}^{\circ}\left(\boldsymbol{S} \boldsymbol{n}^{2+} \mid \boldsymbol{S} \boldsymbol{n}\right)=\mathbf{0 . 1 4} \) A \( .5 .5 \times 10^{4} \) B. \( 2.3 \times 10^{2} \) c. \( 1.1 \times 10^{2} \) D. 1.009
1
Chemistry
(1) 1,2 -dihydroxybenzene \( (\|) 1,3- \) dihydroxybenzene (III) \( 1,4^{-} \) dihydroxybenzene (IV) Hydroxybenzene The increasing order of boiling points of above-mentioned alcohols is: A. \( I<I I<I I I<I V \) в. \( I<I I<I V<I I I \) c. \( I V<I<I I<I I I \) D. \( I V<I I<I<I I I \)
1
Chemistry
Which of the following is false? This question has multiple correct options \( \mathbf{A} \cdot C r^{2+}(g) \) ion has greater magnetic moment compared to \( C o^{3+}(g) \) B. The magnitude of ionization potential of iron an-ion (monoanion) would be equal to electron gain enthalpy of iron. C. Lanthanoids contraction is cause of lower I.P of \( P b \) than \( S n \) D. If successive ionization energy are \( 332,738,849,4080,4958 \text { (in } k J / m o l) \). Then this element can be of 15 th group.
1
Chemistry
Let \( n_{p} \) and \( n_{e} \) be the number of holes and conduction electrons in an extrinsic semiconductor. Then A \( \cdot n_{p}>n_{e} \) в. \( n_{p}=n_{e} \) c. \( n_{p}<n_{e} \) D \( \cdot n_{p} \neq n_{e} \)
3
Physics
In a metre bridge experiment null point is obtained at \( 40 \mathrm{cm} \) form one end of the wire when resistance \( X \) is balanced against another resistance Y. If \( \mathrm{X}<\mathrm{Y} \) then the new position of the null point from the same end, if one decides to balance a resistance of \( 3 \mathrm{X} \) against \( \mathrm{Y} \) will be close to \( \mathbf{A} \cdot 80 \mathrm{cm} \) B. \( 75 \mathrm{cm} \) \( c \cdot 67 \mathrm{cm} \) D. \( 50 \mathrm{cm} \)
3
Physics
Suffix for sub species is A. Phytina B. Oideae c. Ineae D. None of the above
0
Biology
If \( x^{y}=y^{x} \) and \( x=2 y, \) then find the value of \( x+y . \) (Assume that \( y \neq 0 \) )
2
Maths
When light rays enter the eye, most of the refraction occurs at the: A. crystalline lens. B. outer surface of the cornea c. iris D. pupil.
3
Physics
Find the principal value of: \( \operatorname{cosec}^{-1}\left(2 \cos \frac{2 \pi}{3}\right) \)
2
Maths
In Coulomb's law, the constant of proportionality K has the units \( N m^{2} / C^{2} \) then the magnitude of \( \mathrm{K} \) in air is : A \( 9 \times 10^{5} \) \( ^{5} \) B. \( 9 \times 10^{9} \) \( \mathrm{c} \cdot 9 \times 10^{3} \) D. none of these
3
Physics
Which of the following are in inverse proportion? (i) The number of workers on a job and the time to complete the job. (ii) The time taken for a journey and the distance travelled in a uniform speed. (iii) Area of cultivated land and the crop harvested. (iv) The time taken for a fixed journey and the speed of the vehicle. (v) The population of a country and the area of land per person.
2
Maths
What is the electron configuration for manganese? A \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{5} \) B . \( [A r] 4 s^{1} \) C \( \cdot 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{2} 3 d^{5} \) D. \( 1 s^{2} 2 s^{2} 2 p^{1} \)
1
Chemistry
The heaviest subatomic particle is : A. neutron B. positron C . electron D. proton
1
Chemistry
The wavelengths for the light of red and blue colours are roughly \( 7.8 \times 10^{-7} m \) and \( 4.8 \times 10^{-7} m \) respectively. Which colour has the greater speed in glass? A. Red light B. Violet light c. Yellow light D. All colors have same speed
3
Physics
Which of the following complex is useful in the dehydrogenation of alkanes? \( \mathbf{A} \cdot\left[\left(P h_{3} P\right) R h C l\right. \) B. \( \left[\left(P h_{3} P\right)_{3} R h_{2} C l\right. \) \( \mathbf{c} \cdot\left[\left(P h_{3} P\right)_{3} R h C l\right] \) D. \( \left[\left(P h_{3} P\right)_{3} R h C l_{2}\right] \)
1
Chemistry
The type of sex determination in honey bee is A. Diploidy B. Haplo-diploidy c. zz - zw D. Haploidy
0
Biology
Zwitter ion can be formed by: A . acetanilide B. benzanilide c. sulphanilic acid D. benzene sulphonamide
1
Chemistry
The correct IUPAC name of the following compound is \( \left[\boldsymbol{C r}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5}(\boldsymbol{N} \boldsymbol{C S})\right]\left[\boldsymbol{Z n C l}_{4}\right] \) A. pentaammine isothiocyanato chromium(III) tetrachlorozincate(II) B. pentammine isothiocyanate zinc chloridechromate(III) c. pentaammine isothiocyanato chromate(II) D. isothiocyanato pentaammine chromium(II) zinc chloride(IV).
1
Chemistry
The equation of the transverse wave travelling in a rope is given by \( \mathbf{y}= \) \( 5 \sin (4 t-0.02 x) \) where \( y \) and \( x \) are in meters and \( t \) is in seconds. Calculate the intensity of the wave if the density of rope material is \( 1250 \mathrm{kg} / \mathrm{m}^{3} \) A. \( 2000 \mathrm{kJm}^{-2} \mathrm{s}^{-1} \) B. \( 10 \mathrm{kJm}^{-2} \mathrm{s}^{-1} \) c. \( 40 \mathrm{kJm}^{-2} \mathrm{s}^{-1} \) D. 3 \( k J m^{-2} s^{-1} \)
3
Physics
Which of the following expressions for \( \% \) ionization of a monoacidic base \( (B O H) \) in aqueous solution is not correct at appreciable concentration? A \( \cdot_{100} \times \sqrt{\frac{K_{b}}{c}} \) В. \( \frac{1}{1+10\left(p K_{b}-p O H\right)} \) с. \( \frac{K_{w}\left[H^{+}\right]}{K_{b}+K_{w}} \) D. \( \frac{K_{b}}{K_{b}+\left[O H^{-}\right]} \)
1
Chemistry