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If \( \boldsymbol{A}=\left[\begin{array}{l}\mathbf{1} \\ \mathbf{2} \\ \mathbf{3}\end{array}\right], \) then find \( \boldsymbol{A} \boldsymbol{A}^{\boldsymbol{T}} \)
2
Maths
\( B F_{3} \) has less lewis acidic property than \( B B r_{3} . \) Why? A. 0 в. c. no idea D. wron question
1
Chemistry
Mixed ether will not be formed in the reaction? A \( \cdot C H_{3} O C H_{2} C l+C_{2} H_{5} M g B r \) в. \( C H_{2} N_{2}+C_{2} H_{5} O H \) c. \( C_{2} H_{5} O N a+C H_{3} \) D. \( C_{2} H_{5} O H+H_{2} S O_{4}\left(140^{0} C\right) \)
1
Chemistry
ff \( P=\{a, b\} \) and \( Q=\{x, y, z\}, \) show that \( \boldsymbol{P} \times \boldsymbol{Q} \neq \boldsymbol{Q} \times \boldsymbol{P} \)
2
Maths
Typical battery used is the mercury cell, which is used in? A . Electric watches B. Television sets c. Radio transistors D. Electric torches
1
Chemistry
DNA synthesis occurs in A. G-phase B. S-phase c. \( G_{2} \) phase D. M phase
0
Biology
\( \begin{array}{ll}\text { Types of roots } & \text { Plants } \\ \text { A) Prop root } & \text { 1) Radish } \\ \text { B) Epiphytic root } & \text { 2) Turnip } \\ \text { C) Stilt root } & \text { 3) Cassava } \\ \text { D) Tuberous root } & \text { 4) Baniyan } \\ \text { E) Fusiform } & \text { 5) Maize } \\ \text { F) Napiform } & \text { 6) Orchid }\end{array} \) \( \mathbf{A} \) \( A-1, B-2, C-3, D-4, E-5, F-7 \) 7 B. A-2, B-4, C-6, D-1, E-2, F- 5 C. \( A-4, B-6, C-5, D-3, E-1, F-2 \) D. A- 4, B-1, C- 2, D-3, E- 5, F- 6
0
Biology
A light bulb burns in front of the center of a \( 40 \mathrm{cm} \) wide plane mirror that is hung vertically on a wall. A man walks in front of the mirror along a line that is parallel to the mirror and twice as far from it as the bulb. The greatest distance he can walk and still see the image of the bulb. \( \mathbf{A} \cdot 20 \mathrm{cm} \) B. \( 40 \mathrm{cm} \) c. \( 60 \mathrm{cm} \) D. \( 120 \mathrm{cm} \)
3
Physics
A hollow cylinder with a very thin wall and a block are placed at rest at the top of a plane with inclination \( \boldsymbol{\theta}=\mathbf{4 5}^{\circ} \) above the horizontal. The cylinder rolls down the plane without slipping and the block slides down the plane; it is found that both objects reach the bottom of the plane simultaneously. If the coefficient of kinetic friction between the block and the plane is \( \mu, \) the value of \( 18 \mu \) is
3
Physics
In the Born-Haber cycle for the formation of solid common salt (Nacl) the largest contribution comes from A. the low ionization potential of \( N a \) B. the high electron affinity of \( C l \) C. the low \( \Delta H_{v a p} \) of \( N a(s) \) D. the lattice energy
1
Chemistry
Evaluate the given integral \( \int x \cdot \operatorname{cosec}^{2} x d x \)
2
Maths
Choose the correct option A. A clinical thermometer should be washed using water before and after use B. A clinical thermometer should be washed using antiseptic solution before and after use C. A clinical thermometer can be used after it is heated by fire D. None of the above
3
Physics
For the dichromate dianion, which of the following is true? 1) \( 4 C r-O \) bonds are equivalent 2) \( 6 C r-O \) bonds are equivalent
1
Chemistry
From the experimental data, the compositions are found as barium = \( 58.81 \% \), sulfur \( =13.73 \% \), and oxygen \( = \) \( 27.46 \% . \) Predict the empirical formula of the compound. A. \( B a S O_{4} \) в. \( B a S_{2} O \) c. \( B a_{2} S O_{3} \) D. \( B a S_{2} O_{4} \) E \( . B a_{2} \mathrm{SO}_{4} \)
1
Chemistry
Spin only magnetic moment value of \( C r^{3+} \) ion is: A . 2.87 вм в. 3.87 вм \( \mathrm{c} .3 .47 \) вм D. 3.67 ВМ
1
Chemistry
Which of the following phenomena can be demonstrated by light. But not with sound waves in an air column? A . Reflection B. Diffraction c. Refraction D. Polarization
3
Physics
The value of the integral \( \int_{-a}^{a} \frac{x e^{x^{2}}}{1+x^{2}} d x \) is A \( \cdot e^{a^{2}}^{2} \) B. \( \mathbf{c} \cdot e^{-a^{2}}^{2} \) D. \( a \)
2
Maths
A house is fitted with ten lamps of each \( 60 W . \) Each lamp burns for 5 hrs a day on an average. The cost of consumption in a month of 30 days at 2.80 rupees per unit is: A . Rs.152 B. Rs.252 c. \( R s .352 \) D. Rs.452
3
Physics
(5,0) is a point that lies on A. \( y \) -axis B. \( x \) -axis \( \mathbf{c} \cdot y=x \) D. \( y=5 x \)
2
Maths
Cohesion-tension theory regading ascent of sap was given by A. Dixon and Jolly B. J.C. Bose c. christian Wolf D. Godlewski
0
Biology
Two triangles having the same base (or equal bases) and equal areas lie between the same parallels
2
Maths
How many times a normal man respires per minute? A. \( 10-15 \) times B. \( 14-18 \) times c. \( 20-25 \) times D. \( 25-30 \) times
0
Biology
Specific heat of water is \( 4.2 J / g^{o} C . \) I light of frequency \( 3 \times 10^{9} H z \) is used to heat \( 400 g m \) of water from \( 20^{\circ} \mathrm{C} \) to \( 40^{\circ} \mathrm{C}, \) the number of photons needed will be? A . \( 1.69 \times 10^{29} \) B. \( 1.69 \times 10^{28} \) C \( \cdot 2.80 \times 10^{4} \) D. \( 2.80 \times 10^{5} \)
3
Physics
If egg of an organism has \( 10 p g \) of DNA in its nucleus. How much DNA would a diploid cell of same organism have in \( G_{2} \) phase of meiosis? A . \( 10 p g \) B. \( 5 p g \) \( \mathrm{c} \cdot 2 p g \) D. \( 40 p g \)
0
Biology
A light ray is incident normally on the surface \( A B \) of a prism of refracting angle \( 60^{\circ} . \) If the light ray does not emerge from \( A C, \) then find the refractive index of the prism. \( ^{A} \cdot_{\mu} \geqslant \frac{\sqrt{3}}{2} \) B. \( _{\mu} \leqslant \frac{\sqrt{3}}{2} \) \( c \cdot_{\mu} \geqslant \frac{2}{\sqrt{3}} \) D. \( _{\mu} \leqslant \frac{2}{\sqrt{3}} \)
3
Physics
The area bounded by the curves \( x+ \) \( \mathbf{2}|\boldsymbol{y}|=\mathbf{1} \) and \( \boldsymbol{x}=\mathbf{0} \) is? A \( \cdot \frac{1}{4} \) в. \( \frac{1}{2} \) \( c .1 \) D. 2
2
Maths
Number of plants described by Linnaeus is A . 15000 B. 13291 \( c .5900 \) D. 2781
0
Biology
State whether the statement is true or false. Statement: Generally non-metals react with acids. A. True B. False
1
Chemistry
Assertion Nitric oxide, though an odd electron molecule in diamagnetic in liquid state Reason There occurs only partial dimerisation of \( N O \) to \( N_{2} O_{2} \) 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
Explain the formation of following compound: CaO \( \boldsymbol{C a}:[\boldsymbol{A r}] \boldsymbol{4 s}^{2} \longrightarrow \boldsymbol{C a}^{2+}[\boldsymbol{A r}] \quad \boldsymbol{O}: \) \( 1 s^{2} 2 s^{2} 2 p^{4} \longrightarrow \) \( \boldsymbol{O}^{2-} \mathbf{1} \boldsymbol{s}^{2} \mathbf{2} \boldsymbol{s}^{2} \mathbf{2} \boldsymbol{p}^{\boldsymbol{6}} \quad \boldsymbol{C} \boldsymbol{a}^{\mathbf{2}+}[\boldsymbol{:} \ddot{\boldsymbol{O}}:]^{2-} \) If true enter 1 , else enter 0 .
1
Chemistry
Select the correct statement. \( \mathbf{A} \cdot \) The \( S-F \) bond length is longer in \( S F_{6} \) compared to that in \( S F_{2} \) B. In \( P C l_{5} \) axial bonds are smaller than of equatorial bonds. C \( \cdot \ln I F_{7} \) axial bonds are longer than that of equatorial bonds D. All are correct.
1
Chemistry
A bus travelling along a straight highway covers one-third of the total distance between two places with a velocity \( 20 k m h^{-1} . \) The remaining part of the distance was covered with a velocity of \( 30 k m h^{-1} \) for the first half of the remaining time and with velocity \( 50 k m h^{-1} \) for the next half of the time. Find the average velocity of the bus for its whole journey.
3
Physics
The particle of charge \( q \) and mass \( m \) starts moving from origin under the action of an electric field \( \boldsymbol{E}=\boldsymbol{E}_{0} \boldsymbol{i} \) and magnetic field \( V=V_{0} i . \) Its velocity at \( (x, 3,0) \) is \( (4 i+3 \hat{i}) . \) The value of \( x \) is : A. \( \frac{\sqrt{3} m v_{0}}{q E} \) в. \( \frac{25 m}{2 q E_{o}} \) c. \( \frac{10 m}{q E_{o}} \) D. \( \frac{25 E_{0} B_{0}}{m} \)
3
Physics
Water expands when it freezes. Determine amount of work in joules, done when a system consisting of \( 1.0 L \) of liquid water freezes under a constant pressure of \( 1.0 a t m \) and forms \( 1.1 L \) of ¡ce.
1
Chemistry
What is the function of refrigerants in heat pumps? A. Refrigerants supply heat to the atmosphere B. Refrigerants evaporate heat and cool the room C. Refrigerant carries heat from the atmosphere to the room, which is to be heated D. None of these
3
Physics
\( \lim _{x \rightarrow \infty} \sin x \) is equal to: \( \mathbf{A} \cdot 0 \) \( B . \infty \) C. Exists is finite and non-zone D. Does not exist
2
Maths
The output \( Y \) of the logic circuit given above is: \( \mathbf{A} \cdot \bar{A}+B \) в. \( \bar{A} \) c. \( \overline{(\bar{A}+B)} \cdot \bar{A} \) D. \( \overline{(\bar{A}+B)} \cdot \). \( A \)
3
Physics
\( \sin 3 x+\sin x+2 \cos x=\sin 2 x+ \) \( 2 \cos ^{2} x \)
2
Maths
The resistances of a platinum resistance thermometer at the ice point, the steam point and the boiling point of sulphur are 2.50,3.50 and 6.50 \( \Omega \) respectively. Find the boiling point \( ^{o} C \) ) of sulphur on the platinum scale. The ice point and the steam point measure \( 0^{\circ} \mathrm{C} \) and \( 100^{\circ} \mathrm{C} \) respectively
3
Physics
If the third term in the expansion of \( \left[x+x^{\log _{10} x}\right]^{5} \) is \( 10^{6}, \) then \( x \) can be This question has multiple correct options A \( \cdot 10^{-1 / 3} \) B. 10 c. \( 10^{-5 / 2} \) D. \( 10^{2} \)
2
Maths
Examine the applicability of Mean Value Theorem for the following function. \( f(x)=x^{2}-1 \) for \( x \epsilon[1,2] \)
2
Maths
The total energy of electron in the ground state of hydrogen atom is 13.6 eV. The kinetic energy of an electron in the first excited state is : A \( .1 .7 e V \) B. \( 3.4 e V \) c. \( 6.8 e V \) D. \( 13.6 e V \)
1
Chemistry
What is the unit of ratio \( \frac{E}{H} ? \)
3
Physics
Calculate \( \left[\boldsymbol{H}^{+}\right] \) in a \( \mathbf{0 . 2 0} \boldsymbol{M} \) solution of dichloroacetic acid \( \left[\boldsymbol{K}=\mathbf{5} \times \mathbf{1 0}^{-\mathbf{2}}\right] \) that also contains \( 0.1 ~ M \) sodium dichloroacetate. Neglect hydrolysis of sodium salt. A. \( 0.078 M \) В. 0.05 М c. \( 0.06 M \) D. \( 0.04 M \)
1
Chemistry
Three coins are tossed. Describe three events \( A, B \) and \( C \) which are mutually exclusive and exhaustive
2
Maths
The donations given to an orphanage home by the students of different classes of a secondary school are given below. \( \begin{array}{ll}\text { Class } & \text { Donation by each } \\ & \text { students }(\text { in } R s)\end{array} \) No. of students donated \( _{5} \) vı vıl 7 vııl 10 Ix 15 \( x \) 20 Find the mean, median and mode of the data A. Rs.11.26, Median = Rs.10; Mode = Rs.10 B. \( R s .1 .26, \) Median \( =R s .10 ; \) Mode \( =R s .10 \) c. \( R s .11 .26, \) Median \( =R s .20 ; \) Mode \( =R s .10 \) D. None of these
2
Maths
Assertion STATEMENT-1: If \( f(x) \) is continuous on \( [a, b], \) then there exists a point \( c \in(a, b) \) such that \( \int_{a}^{b} f(x) d x=f(c)(b-a) \) Reason STATEMENT-2: For \( a<b \), if \( m \) and \( M \) are, respectively, the smallest and greatest values of \( \boldsymbol{f}(\boldsymbol{x}) \) on \( [\boldsymbol{a}, \boldsymbol{b}] \) \( \operatorname{then} m(b-a) \leq \int_{a}^{b} f(x) d x \leq(b- \) \( \boldsymbol{a}) \boldsymbol{M} \) A. STATEMENT-1 is True, STATEMENT-2 is True STATEMENT-2 is 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
Which or tollowing Is an example of Pinacol-Diazotization? \( \mathbf{A} \) \( B \) \( c \) D.
1
Chemistry
Van't Hoff's factor of aq. \( K_{2} S O_{4} \) at infinite dilution has value equal to: \( \mathbf{A} \cdot \mathbf{1} \) B. 2 \( c .3 \) D. Between 2 and 3
1
Chemistry
Let \( A \) and \( B \) be two sets such that \( A \times \) \( B \) Consists of 6 elements. If three elements of \( A \times B \) are (1,4),(2,6),(3,6) then \( B \times A . \) is \( = \) \( \{(a, 1),(6,1),(4, d),(c, 2),(4,3)(b, 3)\} \) Find \( \boldsymbol{a}+\boldsymbol{b}+\boldsymbol{c}+\boldsymbol{d} \)
2
Maths
The natural phenomenon which we are not yet able to predict accurately is: A. earthquake B. flood c. volcanic erruption D. thunderstorm
3
Physics
Fruits falling from a tree is an example of random motion? A. True B. False
3
Physics
Which of the following is the infrared wavelength? A \( \cdot 10^{-4} \mathrm{cm} \) B \( \cdot 10^{-5} \mathrm{cm} \) \( \mathbf{c} \cdot 10^{-6} c m \) D. \( 10^{-7} \mathrm{cm} \)
3
Physics
Find all the values of \( \theta \) which satisfy the equation: \( \cos \theta \cdot \cos 2 \theta \cdot \cos 3 \theta=1 / 4 \)
2
Maths
Let \( \boldsymbol{f}(\boldsymbol{x}) \) be defined in the interval [-2,2] such that \( f(x)= \) \( \left\{\begin{array}{ll}-1, & -2 \leq x \leq 0 \\ x-1, & 0<x \leq 2\end{array} \text { and } g(x)=\right. \) \( \boldsymbol{f}(|\boldsymbol{x}|)+|\boldsymbol{f}(\boldsymbol{x})| \) Test the differentiablity of \( g(x) \) in (-2,2) A. not derivable at \( x=0 \) and \( x=1 \) B. derivable at all points c. not derivable at \( x=0 \) D. not derivable at \( x=1 \)
2
Maths
The value of \( \lim _{n \rightarrow \infty} \Sigma_{1}^{n} \sin \left(\frac{\pi}{4}+\frac{\pi i}{2 n}\right) \frac{\pi}{2 n}=? \) \( ^{\mathbf{A}} \cdot \int_{\frac{\pi}{2}}^{\frac{\pi}{4}} \sin x d x \) B. \( \int_{\frac{\pi}{2}}^{\frac{3 \pi}{4}} \sin x d x \) \( ^{\mathrm{c}} \cdot \int_{\frac{\pi}{7}}^{\frac{3 \pi}{4}} \sin x d x \) D. \( \int_{\pi}^{3 \pi} \sin x d x \)
2
Maths
Which are the different types of ecosystems?
0
Biology
Define a relation \( R \) on the set \( N \) of natural numbers by \( \boldsymbol{R}=\{(\boldsymbol{x}, \boldsymbol{y}): \boldsymbol{y}= \) \( x+5, x \) is a natural number less than \( \mathbf{4} ; \boldsymbol{x}, \boldsymbol{y} \in \boldsymbol{N}\} . \) Depict this relationship using roster form. Write down the domain and the range.
2
Maths
In an hydrogen atom, the electron revolves around the nucleus in an orbit of radius \( 0.53 \times 10^{-10} m . \) Then the electrical potential produced by the nucleus at the position of the electron is
3
Physics
One mole of steam is condensed at \( 100^{\circ} \mathrm{C} \) the water is cooled to \( 0^{\circ} \mathrm{C} \) and frozen to ice. Which of the following statements are correct, given heat of vapourization and fusion are \( 540 c a l / g m \) and \( 80 c a l / g m \) (average heat capacity of liquid water \( =1 \) cal \( \boldsymbol{g} \boldsymbol{m}^{-1} \boldsymbol{d} \boldsymbol{e} \boldsymbol{g} \boldsymbol{r} \boldsymbol{e} e^{-1} \boldsymbol{\} \) This question has multiple correct options A. Entropy change during the condensation of steam is \( -26.06 c a l /^{o} C \) B. Entropy change during cooling of water from \( 100^{\circ} \mathrm{C} \) to \( 0^{o} C \) is \( -5.62 c a l /^{o} C \) C. Entropy change during freezing of water at \( 0^{\circ} \mathrm{C} \) is \( -5.27 c a l /^{o} C \) D. Total entropy change is -36.95 cal\( /^{\circ} \mathrm{C} \)
3
Physics
Find the difference of the arithmetic progression an if \( a_{1}=7 \) and \( a_{3}=16 \) A . 4.5 B. 5 \( c .5 .5 \) D. 6
2
Maths
The centre of mass of a rigid body always lies inside the body. Is this statement true or false? A. True B. False
3
Physics
Who proposed the 'Binomial Nomenclature System'? A. Whittaker B. Mendel c. carl Linnaeus D. Tippo
0
Biology
If the distance between the earth and the Sun were half its present value, the number of days in a year would have been A . 64.5 в. 129 c. 182.5 D. 730
3
Physics
On an average, for every \( C O_{2} \) molecule fixed by photosynthesis, how many molecules of oxygen are released? A B. 2 \( c \cdot 3 \) D. 6
0
Biology
Why doesn't sea water freeze so easily?
1
Chemistry
Which one of waves tans our skin and causes some substances to become fluorescent? A. infrared waves B. ultraviolet waves c. gamma rays D. infrared and ultraviolet waves both
3
Physics
Draw a labelled diagram of an alternating current Generator. Determine the induced electromotive force by the rotation of coil in it.
3
Physics
Which of the following is incorrectly matched? Complex compound and number of unpaired electrons \( \mathbf{A} \cdot\left[F e F_{6}\right]^{3-}, 5 \) B \( \cdot\left[C r(e n)_{3}\right]^{2}+, 2 \) c. \( \left[\operatorname{Co}\left(N H_{3}\right)_{6}\right]^{3+}, 4 \) D \( \cdot\left[M n\left(H_{2} O\right)_{6}\right]^{2+}, 5 \)
1
Chemistry
Addition of iron or zinc to copper sulfate causes precipitation of copper owing to the A . reduction of \( C u^{2} \) B. oxidation of \( C u^{2} \) c. hydrolysis of \( C u S O_{4} \) D. ionisation of \( C u S O_{4} \)
1
Chemistry
Compound \( A \) when reacted with \( P C l_{5} \) and then with ammonia gave \( \boldsymbol{B} . \boldsymbol{B} \) when treated with bromine and caustic potash produced \( C . C \) on treatment with \( H C l \) and \( N a N O_{2} \) at \( 0^{\circ} C \) and then on boiling produced ortho-cresol. Compound \( \boldsymbol{A} \) is : A . \( o \) -Toluic acid B. \( o \) -Chlorotoluene c. \( o \) -Bromotoluene D. m-Toluic acid
1
Chemistry
What is the name of the process of heat transfer using electromagnetic waves? A. Conduction B. Convection c. Evaporation D. Radiation
3
Physics
Where should the object be placed if we use convex lens to obtain real, inverted and diminished image? A. object should be placed at focal point B. object should be placed at finite distance from Focal point c. object should be placed at infinity D. object should be placed between F and 2F
3
Physics
What is the difference between distillation,distillation under reduced pressure and steam distillation?
1
Chemistry
In the periodic table, vertical columns of elements are called \( \ldots . . \) and horizontal rows of elements are called A. Groups, periods B. Periods, groups c. Periods, periods D. Groups, groups
1
Chemistry
Two mirrors are placed at right angles to each other as shown in the figure. Total number of images of an object 0 placed between them, that are seen are: A. Two B. Three c. Four D. Six
3
Physics
If \( \lim _{x \rightarrow 1} \frac{x^{4}-1}{x-1}=\lim _{x \rightarrow k} \frac{x^{3}-k^{3}}{x^{2}-k^{2}}, \) then find the value of \( k \) \( A \cdot \frac{5}{3} \) B. \( -\frac{8}{3} \) \( c \cdot \frac{8}{3} \) D. None of these
2
Maths
Which of the following has the highest acidic strength? \( A \cdot \| \) B. IV \( c \) \( D \)
1
Chemistry
Pb is a very important element of carbon family. It forms a number of compounds which are very useful in industries. The process of removal of base metals \( (\mathrm{Cu}, \mathrm{Sn}, \mathrm{Bi}, \mathrm{As}) \) from lead is called: A. softening process B. liquation c. parke's process D. cupellalion
1
Chemistry
Chloroquine, camoquin and primaquine are : A. Anti malarial drug B. Anti dengue drug c. Anti tuberculosis drug D. Both A and B
1
Chemistry
Divide the polynomial \( p(x) \) by the polynomial \( p(g) \) and find the quotient an in each of the following: \( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{x}^{3}-\boldsymbol{3} \boldsymbol{x}^{2}+\boldsymbol{5} \boldsymbol{x}-\boldsymbol{3}, \boldsymbol{g}(\boldsymbol{x})= \) \( x^{2}-2 \) \( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{x}^{4}-\boldsymbol{3} \boldsymbol{x}^{2}+\boldsymbol{4} \boldsymbol{x}+\mathbf{5}, \boldsymbol{g}(\boldsymbol{x})= \) \( \boldsymbol{x}^{2}+\mathbf{1}-\boldsymbol{x} \) \( \boldsymbol{p}(\boldsymbol{x})=\boldsymbol{x}^{4}-\boldsymbol{5} \boldsymbol{x}+\boldsymbol{6}, \boldsymbol{g}(\boldsymbol{x})=\boldsymbol{2}-\boldsymbol{x}^{2} \)
2
Maths
Which of the following is a measurement of water pollution? A . PSC в. РСВ \( c . \) во D. coo
1
Chemistry
Assertion: The element carbon forms the basic structural framework of more compounds than any other element Reason: The carbon-carbon bond is ionic. 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 E. Both Assertion and Reason are incorrect
1
Chemistry
An electric heater consists of a nichrome coil and runs under \( 220 V \) consuming \( 1 k W \) power. Part of its coil burned out and it was reconnected after cutting off the burnt portion, The power it will consume now is: A. More than \( 1 k W \) B. Less that \( 1 k W \), but not zero \( \mathrm{c} .1 \mathrm{kW} \) D. \( 0 k W \)
3
Physics
Buna-S is a copolymer of: A. styrene and 1,3 - butadiene B. styrene and ethylene 3 - butadiene and ethylene \( \mathbf{C} \cdot 1,3 \) D. 1,3 - butadiene and acrylonitrile
1
Chemistry
If \( A \) is \( n \) squared matrix then \( A A^{\prime} \) and \( A^{\prime} A \) are symmetric.
2
Maths
The relation among \( u, v \) and \( f \) for \( a \) mirror is \( \mathbf{A} \cdot f=u v /(u+v) \) В \( . v=f u /(u+f) \) \( \mathbf{c} . u=f v /(f+v) \) D. All of these
3
Physics
toppr Q Type your question \( A \) \( B \) \( c \) \( D \)
1
Chemistry
The first and second dissociation constant of an acid \( \boldsymbol{H}_{2} \boldsymbol{A} \) are \( \mathbf{1 . 0} \times \) \( \mathbf{1 0}^{-5} \) and \( \mathbf{5 . 0} \times \mathbf{1 0}^{-\mathbf{1 0}} \) respectively. The over all dissociation constant of the acid will be: A. \( 5.0 \times 10^{-5} \) В. \( 5.0 \times 10^{15} \) c. \( 5.0 \times 10^{-15} \) D. \( 0.2 \times 10^{5} \)
1
Chemistry
A cylindrical vessel of base radius \( \mathrm{R} \) and height H has a narrow neck of height h and radius \( r \) at one end(see figure). The vessel is filled with water(density \( \rho_{w} \) ) and its neck is filled with immiscible oil (density \( \rho_{o} \) ). Then the pressure at: A \( \cdot \) M is \( g\left(h \rho_{o}+H \rho_{w}\right) \) B. \( \quad \) N is \( g\left(h \rho_{o}+H \rho_{w}\right) \frac{r^{2}}{R^{2}} \) c. \( \mathrm{M} \) is \( g H \rho_{w} \) D. \( \mathrm{N} \) is \( g \frac{\rho_{w} H R^{2}+\rho_{o} h r^{2}}{R^{2}+r^{2}} \)
3
Physics
The number \( \mathbf{P} \boldsymbol{\pi}-\mathbf{d} \boldsymbol{\pi} \) bondsin \( \mathbf{X} \mathbf{e} \mathbf{O}_{\mathbf{4}} \) is : A. zero B. Two c. Three D. Four
1
Chemistry
Lenz's law is a consequence of law of conservation of A. momentum в. energy c. charge and mass D. angular momentum
3
Physics
Define many-one function. Give an example of function.
2
Maths
Which of the following is incorrect relation fot a perfect gas? A. \( \quad\left(\frac{\delta U}{d V}\right)_{T}=0 \) в. \( \quad\left(\frac{^{\frac{0}{0} H}{\delta P}}\right)_{T}=0 \) \( \begin{array}{ll}\text { c. } & \left(\frac{\delta T}{\delta P}\right)_{H}=0\end{array} \) D. \( \quad\left(\frac{\tilde{\sigma} U}{\delta T}\right)_{V}=0 \)
3
Physics
A rod of \( 10 \mathrm{cm} \) length is moving perpendicular to uniform magnetic field of intensity \( 5 \times 10^{-4} W b / m^{2} . \) If the acceleration of the rod is \( 5 m / s^{2}, \) then the rate of increase of induced emf is A \( .2 .5 \times 10^{-4} V s^{-1} \) B . \( 25 \times 10^{-4} V s \) c. \( 20 \times 10^{-4} V s \) D. \( 20 \times 10^{-4} V s^{-1} \)
3
Physics
If \( \lim _{x \rightarrow \infty}\{(\sqrt{x^{4}+a x^{3}+3 x^{2}+b x+2}-\sqrt{a} \) is finite, then the value of \( a \) is? A . 3 B. 5 \( c \cdot 2 \) D. Any real number
2
Maths
Match each coordination compound in List-I with an appropriate of characteristics from List-II. (en \( = \) \( \boldsymbol{H}_{2} \boldsymbol{H} \boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{C} \boldsymbol{H}_{2} \boldsymbol{N} \boldsymbol{H}_{2} ; \) Atomic numbers: \( \mathrm{Ti}=22, \mathrm{Cr}=24 ; \mathrm{Co}=27 ; \mathrm{Pt}=78) \) List 1 Parama dexhil \( A \) 4 \( \left[C r\left(N H_{3}\right)_{4} C l_{2}\right] C l \) and ionizatio Diamag \( \operatorname{lex} \) \( B \) 3 \( \left[T i\left(H_{2} O\right)_{3} C l\right]\left(N O_{3}\right)_{2} \) 2 and cis-trans Parama \( \operatorname{exn} \) \( c \) \( \left[P t(e n)\left(N H_{3}\right) C l\right] N O_{3} \) 3 and cis-trans so । \( \left[C o\left(N H_{3}\right)_{4}\left(N O_{3}\right)_{2}\right] N O_{3} \) Diamagn and exhib ionizatior isomerisr 4
1
Chemistry
The remainder when \( x^{3}-2 x^{2}+4 x \) is divided by \( x^{2} \) is A . в. \( x-2+\frac{4}{x} \) c. \( 4 x \) D. \( 4 x-2 x^{2} \)
2
Maths
(a) Deduce an expression for the frequency of revolution of a charged particle in a magnetic field and show that it is independent of velocity or energy of the particle. (b) Draw a schematic sketch of a cylotron. Explain, giving the essential details of its construction, how it is used to accelerate the charged particles.
3
Physics
What type of oxide would Ekaaluminium form? A. \( E O_{3} \) в. \( E_{3} O_{2} \) \( \mathrm{c} \cdot E_{2} \mathrm{O}_{3} \) D. \( E O \)
1
Chemistry