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A long string under tension of \( 100 N \) has one end at \( x=0 . \) A sinusoidal wave is generated at \( x=0 \) whose equation is given by \( \boldsymbol{y}= \) \( (0.01 c m) \sin \left[\left(\frac{\pi x}{10} m\right)-50 \pi t(s e c)\right] \) Sketch the shape of the string at \( t= \) \( \frac{1}{50} s e c \)
3
Physics
Gold does not occur in the combined form. It does not react with air or water. It is in the \( _{\text {一一一十日 }} \) A. native B. combined c. original D. liquid
1
Chemistry
Check whether the following are Quadratic equations \( (x+2)^{3}=2 x\left(x^{2}-1\right) \)
2
Maths
Study the given figure carefully. Which of the following reactions explains the above change most appropriately? A. \( Z n S O_{4}+C u \rightarrow C u S O_{4}+Z n \) в. \( C u S O_{4}+F e \rightarrow F e S O_{4}+C u \) c. FeSO\( _{4}+C u \rightarrow \) CuSO\( _{4}+ \) Fe D. \( C u S O_{4}+Z n \rightarrow Z n S O_{4}+C u \)
1
Chemistry
The equiconvex lens has a focal length 'f. If the lens is cut along the line perpendicular to principal axis and passing through the pole, what will be the focal length of any half part? A \( \cdot \frac{f}{2} \) B . \( 2 f \) \( c \cdot \frac{3 f}{2} \) D. \( f \)
3
Physics
Consider the following half-cell reactions and associated standard half- cell potentials and determine the maximum voltage that can be obtained by combination resulting in spontaneous processes: \( \boldsymbol{A u} \boldsymbol{B r}_{4}^{-}(\boldsymbol{a q})+\boldsymbol{3} \boldsymbol{e}^{-} \rightarrow \boldsymbol{A u}(\boldsymbol{s})+ \) \( 4 B r^{-}(a q) ; E^{\circ}=-0.86 V \) \( \boldsymbol{E} \boldsymbol{u}^{3+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{e}^{-} \rightarrow \boldsymbol{E} \boldsymbol{u}^{2+}(\boldsymbol{a} \boldsymbol{q}) ; \boldsymbol{E}^{\circ}= \) \( -0.43 V \) \( \boldsymbol{S} \boldsymbol{n}^{2+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \boldsymbol{S} \boldsymbol{n}(\boldsymbol{s}) ; \boldsymbol{E}^{\circ}= \) \( -0.14 V \) \( \boldsymbol{I O}^{-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{H}_{2} \boldsymbol{O}(l)+\boldsymbol{2} \boldsymbol{e}^{-} \rightarrow \) \( \boldsymbol{I}^{-}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{2} \boldsymbol{O} \boldsymbol{H}^{-}(\boldsymbol{a} \boldsymbol{q}) ; \boldsymbol{E}^{\circ}=+\mathbf{0 . 4 9} \boldsymbol{V} \) \( \mathbf{A} \cdot+0.72 \) B. +1.54 c. +1.00 D. +1.35
1
Chemistry
The unit of electron affinity is: A. kcal/mole B. erg-sec \( c \cdot A^{c} \) D. no unit
1
Chemistry
Cell in \( G_{0} \) phase of cell cycle A. Exit cell cycle B. Enter cell cycle c. suspend cell cycle D. Terminate cell cycle
0
Biology
Four cows are tethered at four corners of a square plot of side \( 50 \mathrm{m} \) as shown in figure. What area will be left ungrazed?
2
Maths
In the given figure, \( \boldsymbol{A B} \perp \boldsymbol{B C}, \boldsymbol{F G} \perp \) \( B C \) and \( D E \perp A C . \) Prove that \( \triangle A D E \) \( \sim \triangle G C F \)
2
Maths
A school has five houses \( A, B, C, D \) and \( E \) A class has 23 students, 4 from house A, 8. from house B, 5 from house C, 2 from house 0 and rest from house \( \mathrm{E} \) A single student is selected at random ,to be the class monitor. The probability that the selected student is not from \( A \), Band C is? \( \mathbf{A} \cdot \frac{4}{23} \) B. \( \frac{6}{23} \) \( c \cdot \frac{8}{23} \) D. \( \frac{17}{23} \)
2
Maths
n \( N i(C O)_{4}, \) the oxidation state of Ni is: \( A \cdot 4 \) B. \( c \cdot 2 \) D. 8
1
Chemistry
The order in which the following oxides are arranged to decreasing basic nature is \( C u O, N a_{2} O, M g O, A l_{2} O_{3} \)
1
Chemistry
Which of the states Snell's law? A. Incident ray, refracted ray and the normal at the point of incidence all lies in the same plane B. \( \frac{\sin i}{\sin r}= \) constant (for a given media) C. Angle of incidence \( = \) Angle of refraction D. All
3
Physics
If an equilateral triangle, having centroid at the origin, has a side along the line, \( x+y=2 \), then the area (in sq.units) of this triangle is: \( \mathbf{A} \cdot \mathbf{6} \) B. \( 6 \sqrt{3} \) c. \( \frac{9}{2} \sqrt{3} \) D. \( 3 \sqrt{6} \)
2
Maths
I. Ethanol II. Acetic acid III. Phenol IV. Acetonitrile The acidity of compounds I-IV in water follows the order: A. \( I V<I<I I I<I I \) в. \( I<I I<I I I<I V \) c. \( I V<I<I I<I I I \) D. \( I V<I I I<I<I I \)
1
Chemistry
Observe the relationship between the first two words and then fill in the fourth place (a) Angiosperms: roots :: Rhodophyta (b) Fern: prothallus :: moss: (c) Moss : capsule :: fern: (d) Angiosperms: flowers :: conifers
0
Biology
What are isotonic solutions? Give an example.
1
Chemistry
A positive charge \( Q \) is uniformly distributed along a circular ring of radius R. A small test charge q is placed at the center of the ring figure. Then which statement is incorrect: A. If \( q>0 \) and is displaced away from the centre in the plane of the ring,it will be pushed back towards the centr B. if \( q<0 \) and is displaced away from the centre in the plane of the ring,it will never return towards the centre and will continue moving till it hits the ring C. ifif q>0, it will perform SHM for small displacement along the axis D. \( q \) at the centre of the ring is in an unstable equilibrium within the plane of the ring \( q>0 \)
3
Physics
The side of a rhombus is \( 26 m \) and length of one of its diagonal is 20 m. The area of the rhombus is A \( \cdot 120 m^{2} \) В. \( 240 \mathrm{m}^{2} \) c. \( 480 m^{2} \) D. None
2
Maths
The conditions favourable for the reaction: \( 2 S O_{2}(g)+O_{2}(g) \rightleftharpoons \) \( 2 S O_{3}(g) ; \triangle H^{\circ}=-198 K J \) are A. low temperature,high pressure B. any value of T and P c. low temperature and low pressure D. high temperature and high pressure
1
Chemistry
From the given figure, we can find that \( \angle A B C=47^{\circ} \) A. True B. False
2
Maths
In borex bead test which compound is formed: A. ortho borate B. meta borate c. dDouble oxide D. tetra borate
1
Chemistry
Find \( a \) so that roots of \( x^{2}+2(3 a+ \) 5) \( x+2\left(9 a^{2}+25\right)=0 \) are real.
2
Maths
In a moving coil galvanometer, the magnetic pole pieces are made cylindrical and a soft iron core is placed at the centre of the coil,the purpose for doing so is: A. to make the magnetic field strong B. to make the magnetic field strong and radial c. to make the magnetic field uniform D. to make the magnetic field strong and uniform
3
Physics
A particle of mass \( m \) is executing oscillations about the origin on the \( x- \) axis. It's potential energy is \( \boldsymbol{U}(\boldsymbol{x})= \) \( \boldsymbol{k}|\boldsymbol{x}|^{3}, \) where \( \boldsymbol{k} \) is a positive constant. If the amplitude of oscillation is \( a \), then its time period \( \boldsymbol{T} \) is: A . proportional to \( \frac{1}{\sqrt{a}} \) B. independent of \( a \) c. proportional to \( \sqrt{a} \) D. proportional to \( a^{3 / 2} \)
3
Physics
In a hydrogen atom, an electronjumps from the second orbit to the first orbit Find out The wavelength of the radiation is : A \( \cdot 1.325 \times 10^{3} \mathrm{A} \) в. \( 2.430 \times 10^{3} \) А c. \( 1.215 \times 10^{3} \) A D. \( 2.255 \times 10^{3} \) A
1
Chemistry
A point source of light at the surface of a sphere causes a parallel beam of light to emerge from the opposite surface of the sphere. The refractive index of the material of the sphere is? A . 5 В. \( 5 / 3 \) c. 2 D. 2.5
3
Physics
Match list A and list B accurately: List \( \mathbf{A} \) List B a) spherical wave front e) linear source b) plane wave front f) point light source c) cylindrical wave front g) at infinite distance \( A \cdot(a, f) ;(b, g) ;(c, e) \) B. ( a, f); (b, e); (c, g) \( c \cdot(a, g) ;(b, f) ;(c, e) \) D. \( (a, e) ;(b, g) ;(c, f) \)
3
Physics
For the path \( P Q R \) in a conservative force field, the amount of work done in carrying a body from \( P \) to \( Q \& \) from \( Q \) to \( R \) are \( 5 J \& 2 J \) respectively. The work done in carrying the body from \( \boldsymbol{P} \) to \( \boldsymbol{R} \) will be- в. 3 J c. \( \sqrt{21} J \) D. Zer
3
Physics
Assertion Ascomycetes fungi produce asexual spore which are called ascospore. Reason Ascospores are produced endogenously in sac like asci. 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 and Reason are correct
0
Biology
An electron and a photon have same wavelength of \( 10^{-9} \mathrm{m} . \) If \( \mathrm{E} \) is the energy of the photon and p is the momentum of the electron, the magnitude of E/p in \( \mathrm{S} \) units is? A. \( 1.00 \times 10^{-9} \) B. \( 1.50 \times 10^{8} \) c. \( 3.00 \times 10^{8} \) D . \( 1.20 \times 10^{7} \)
3
Physics
A small ring of mass \( m \) is connected with a particle of same mass by an ideal string \( \& \) the whole system is released as shown in figure. Coefficient of friction between ring \( A \) and wire is 3/5. Ring A will start sliding when connecting string will make an angle \( (5 \times x)^{0} \) with the vertical. Find \( x \) (particle is free to move and ring can slide only)
3
Physics
A complex number is represented by an ordered pair \( z:(3,4), \) which of the following is true for \( z ? \) A. \( z=3+4 i \) В. \( z=4+3 i \) \( \mathbf{c} \cdot z=3+4 \) D. None of these
2
Maths
The primary dentition in human differs from permanent dentition in not having one of the following type of teeth A. Canine B. Premolars c. Molars D. Incisors
0
Biology
Explain how animals in Vertebrata are classified into further subgroups.
0
Biology
Observe the following picture and answer the following question: What is corrosion?
1
Chemistry
Nucleic acid in chromosomes of bacteria are A. Of two types DNA and RNA B. Linear DNA c. circular DNA D. Linear RNA
0
Biology
Which is the correct decreasing order of nucleophilic addition of carbonyl compound? A. aldehyde, ketone, ester, acid, amide B. acid, aldehyde, ketone, ester, amide c. amide, aldehyde, ketone, ester, acid, D. ketone, aldehyde, ester, acid, amide
1
Chemistry
Which of the following do not exist? A. \( N C l_{5} \) в. \( P H_{5} \) \( \mathbf{c} \cdot\left[B C l_{6}\right]^{3-} \) D. All of these
1
Chemistry
The temperature of a thin uniform rod increases by t. Its moment of inertia about an axis perpendicular to its length increases by: A . B. \( \alpha I t \) \( c \cdot 2 \alpha I \) D. \( \alpha^{2} I \)
3
Physics
If \( \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{0} & \mathbf{1} \\ \mathbf{1} & \mathbf{0}\end{array}\right], \) then \( \boldsymbol{A}^{2} \) is equal to \( A \cdot\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right] \) B. \( \left[\begin{array}{ll}1 & 0 \\ 1 & 0\end{array}\right] \) c. \( \left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \) D. \( \left[\begin{array}{ll}0 & 1 \\ 0 & 1\end{array}\right] \)
2
Maths
The yield of the products in the reaction, \( \boldsymbol{A}_{2(\boldsymbol{g})}+\mathbf{2} \boldsymbol{B}_{(\boldsymbol{g})} \rightleftharpoons \boldsymbol{C}_{(\boldsymbol{g})}+\boldsymbol{Q} \boldsymbol{k} \boldsymbol{J} \) would be higher at : A. high temperature and high pressure B. high temperature and low pressure C. low temperature and high pressure D. low temperature and low pressure
1
Chemistry
Splenic artery arises from? A. Anterior mesenteric artery B. Coeliac artery c. Posterior mesenteric artery D. Intestinal artery
0
Biology
A charge of \( 20 \mu C \) is placed on the positive plate of an isolated parallelplate capacitor of capacitance \( 10 \mu F \) Calculate the potential difference developed between the plates.
3
Physics
For an electron in the second orbit of Bohr's hydrogen atom, the moment of linear momentum is: \( A \cdot \pi h \) в. \( 2 \pi r h \) \( c \cdot \frac{h}{\pi} \) D. \( \frac{2 h}{\pi} \)
3
Physics
pumps deoxygenated blood to the lungs. A. Right auricle B. Right ventricle c. Left auricle D. Left ventricle
0
Biology
One end of a rod of length \( L \) is fixed to a point on the circumference of a wheel of radius R. The other end is sliding freely along a straight channel passing through the centre 0 of the wheel as shown in the figure. The wheel is rotating with a constant angular velocity \( \omega \) about \( 0 . \) Taking \( T=\frac{2 \pi}{P \omega} \) the motion of the rod is? A. Simple harmonic with a period of \( T \) B. Simple harmonic with a period of \( T / 2 \) c. Not simple harmonic but periodic with a period of \( T \) D. Not simple harmonic but periodic with a period of \( T / 2 \)
3
Physics
The length of perpendicular from the point (7,14,5) to the plane \( 2 x+4 y- \) \( z=2 \) is A \( \cdot 21 \sqrt{3} \) is B. \( 3 \sqrt{21} \) c. \( \sqrt{321} \) D. \( 5 \sqrt{2} \)
2
Maths
What will be the pH value of a solution of \( 500 m L \) containing \( 5 g \) acetic acid and \( 7.2 g \) of sodium acetate? \( K_{a}= \) \( 1.8 \times 10^{-5} \) at \( 25^{\circ} C \)
1
Chemistry
Assertion In the human body the heart acts as the pump that circulates blood through different parts of the body, transferring heat by forced convection. Reason In forced convection,material is forced to move by a pump or by some other physical means. 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
A reaction involving two different reactants: A. can never be a second order reaction. B. can never be a unimolecular reaction c. can never be a bimolecular reaction D. can never be a first order reaction
1
Chemistry
An object may have This question has multiple correct options A. Varying speed without having varying velocity B. Varying velocity without having varying speed C. Non zero acceleration without having varying velocity D. Non zero acceleration without having varying speed
3
Physics
If the vectors \( \vec{P}=a \tilde{i}+a \hat{j}+ \) 3 \( \hat{k} \) and \( \vec{Q}=a \hat{i}-2 \hat{j}-\hat{k} \) are perpendicular to each other then the positive value of a is A . zero в. \( c \cdot 2 \) D. 3
3
Physics
For how many real values of \( ^{\prime} m^{\prime} \) the points \( \boldsymbol{A}(\boldsymbol{m}+\mathbf{1}, \mathbf{1}), \boldsymbol{B}(\boldsymbol{2 m}+\mathbf{1}, \boldsymbol{3}) \) and \( C(2 m+2,2 m) \) are collinear.
2
Maths
To which type of reaction, Le Chatelier's principle can always be applied? A . Reversible B. Elementary c. synthesis D. Decomposition E. Double Replacement
1
Chemistry
Which of the following symbol represents a universal gate? \( A \) в. \( c \) D.
3
Physics
Angles forming a linear pair can both be acute angles. A. True B. False c. Ambiguous D. Data Insufficient
2
Maths
Wavelength of gamma rays are: \( \mathbf{A} \cdot 10^{-10} m \) to less than \( 10^{-14} m \) B. \( 10^{-14} \mathrm{m} \) to less than \( 10^{-10} \mathrm{m} \) C \( \cdot 10^{-11} \mathrm{m} \) to less than \( 10^{-14} \mathrm{m} \) D. \( 10^{-14} \mathrm{m} \) to less than \( 10^{-6} \mathrm{m} \)
3
Physics
After balancing and reducing the coefficients to lowest whole number terms, What is the coefficient of \( \boldsymbol{H}_{2} \boldsymbol{O} \) ? \( \boldsymbol{H} \boldsymbol{C l}+\boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4} \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}+\boldsymbol{K} \boldsymbol{C l}+ \) \( M n C l_{2}+C l_{2} \) \( A \cdot 1 \) B. 2 \( c .5 \) D. 8 E . 16
1
Chemistry
If \( p-\frac{1}{p}=4, \) find the value of \( p^{4}+\frac{1}{p^{4}} \) A . 16 B. 18 c. 324 D. 322
2
Maths
Light years is the unit of: A. time B. length c. mass D. none of these
3
Physics
A long, straight metal has a long hole of radius a drilled parallel to the rod axis with cross-sectional view as shown. If the rod carries a current \( I \), the value of the magnetic field on the axis of the rod is: A \( \quad B=\frac{\mu_{0} I a^{2}}{2 \pi c\left(b^{2}-a^{2}\right)} \) B. \( B=\frac{\mu_{0} I}{2 \pi c} \) c. \( \quad B=\frac{\mu_{0} I a^{2}}{4 \pi c\left(b^{2}-a^{2}\right)} \) \( \mathbf{D} \cdot B=z e r o \)
3
Physics
f the equilibrium constant for reaction (i) is \( 2, \) what is the equilibrium constant for reaction (ii)? \( C O_{2} \rightleftharpoons C O+\frac{1}{2} O_{2 \cdots \cdots}(i) \) \( 2 C O+O_{2} \rightleftharpoons 2 C O_{2} \dots( \) ii) A. в. c. 1 D.
1
Chemistry
A spot light \( S \) rotates in a horizontal plane with a constant angular velocity of \( 0.1 \mathrm{rad} / \mathrm{s} \). The spot of light \( \boldsymbol{P} \) moves along the wall at a distance \( 3 m \). What is the velocity of the spot \( \boldsymbol{P} \) when \( \boldsymbol{\theta}=\mathbf{4 5}^{o} \) ? A. \( 0.6 \mathrm{m} / \mathrm{s} \) B. \( 0.5 \mathrm{m} / \mathrm{s} \) \( c .0 .4 m / s \) D. \( 0.3 \mathrm{m} / \mathrm{s} \)
3
Physics
Reverse saturation current of a diode: A. is independent of temperature B. increases with increase in temperature C. decreases with increase in temperature D. may increase or decrease with increase in temperature depending on the semiconductor
3
Physics
Two vectors \( \vec{A} \) and \( \vec{B} \) have magnitude 3 each. \( \vec{A} \times \vec{B}=-5 \hat{k}+2 \hat{i} . \) Find the angle between \( A \) and \( B \) A \( \cdot \cos ^{-1} \frac{\sqrt{29}}{9} \) B. \( \tan ^{-1}\left(\frac{-5}{2}\right) \) \( ^{c} \cdot \sin ^{-1}\left(\frac{2}{5}\right) \) D. \( \sin ^{-1}\left(\frac{\sqrt{29}}{9}\right) \)
2
Maths
An element \( A \) has electronic configuration \( 2,8,13,2 . \) The number of electrons in the element having \( l=0 \) is: A . 6 B. 8 \( c .5 \) D. 4
1
Chemistry
In coupling reactions, diazonium ion acts as: A. nucleophile B. electrophile c. solvent D. none of the above
1
Chemistry
A card is down \& replaced in ordinary pack of 52 playing cards. Minimum number of times must a card be drawn so that there is atleast an even chance of drawing a heart, is A . 2 B. 3 \( c \cdot 4 \) D. more than four
2
Maths
To find the standard potential of \( M 3^{+} / M \) electrode, the following cell is constituted : \( \boldsymbol{P t} / \boldsymbol{M} / \boldsymbol{M}^{3+}\left(\mathbf{0 . 0 0 1 m o l} \boldsymbol{L}^{-1}\right) / \boldsymbol{A} \boldsymbol{g}^{+}(\mathbf{0 . 0 1} \) The emf of the cell is found to be 0.421 volt at \( 298 \mathrm{K} \) The standard potential of half reaction \( M^{3}+3 e^{-} \rightarrow M \) at \( 298 \mathrm{K} \) will be : (Given \( \boldsymbol{E}_{A g^{+} / A g}^{e} \) at \( 298 \mathrm{K}=0.80 \) Volt A. 0.32 volt B. 0.66 Volt c. 1.28 volt D. 0.38 Volt
1
Chemistry
Assertion Adsorption is exothermic and spontaneous inspite of the fact that adsorption is accompained with decrease in entropy. Reason The factor \( T \Delta S \) is lesser than \( \Delta H \) 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
Which statement regarding translation is out of order first? A. Ribosomal subunits bind to mRNA B. Ribosome comes to a stop codon on the mRNA C. As a tRNA leaves the ribosome it passes its amino acid to the growing polypeptide D. The messenger RNA codon binds to the tRNA anticodon
0
Biology
(Concentration/Molarity) is the amount of solute present in a given amount of solution.
1
Chemistry
Identify the correct order. 1. Mineral absorption zone. 2. Meristematic zone. 3. Maturation zone. 4. Water absorption zone. в. 4,3,2,1 c. 2,4,1,3 D. 1,2,3,4
0
Biology
In the circuit shown in figure, the voltage drop between \( A \) and \( D \) is A . \( 10 v \) B. 5 v \( c \cdot 4 v \) 0.6
3
Physics
Which one of the following elements reduces \( N a O H \) to \( N a ? \) A . \( S i \) в. \( P b \) \( c . c \) D. \( s n \)
1
Chemistry
The equation of the circle which passes through the point (3,-2) and (-2,0) and centre line \( 2 x-y=3, \) is A \( \cdot x^{2}+y^{2}-3 x-12 y+2=0 \) B. \( x^{2}+y^{2}-3 x+12 y+2=0 \) c. \( x^{2}+y^{2}+3 x+12 y+2=0 \) D. None of these
2
Maths
Consider following three halides: (।) \( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C l} \) (II) \( \boldsymbol{C H}_{2}=\boldsymbol{C H}-\boldsymbol{C l} \) \( (\| I) \quad C_{6} H_{5} C l \) Arrange \( C-C l \) bond length of these compounds in decreasing order A \( . I>I I>I I I \) в. \( I>I I I>I I \) c. \( I I I>I I>I \) D. \( I I>I I I>I \)
1
Chemistry
Arrange \( C C l_{3}\left(C H_{2}\right)_{3} N H_{2}(\mathrm{a}) \) \( C C l_{3}\left(C H_{2}\right) N H_{2}(\mathrm{b}), \) and \( C C l_{3} C H_{2} N H_{2} \) (c) in order of decreasing basic nature \( A \cdot C>B>A \) B. \( C>A>B \) \( c \cdot A>c>B \) D. \( B>A>C \)
1
Chemistry
Gas constant \( (\boldsymbol{R}) \) equals to A \( \cdot \frac{C_{p}}{C_{v}} \) B. c. \( C_{v}-C_{p} \) D. \( C_{p}-C_{v} \)
1
Chemistry
Linnaeus published his concept of binomial nomenclature first in A. Systema Naturae B. Species Plantarum c. Genera Plantarum D. Philosophia Botanica
0
Biology
Resistivity of a material depends on A . Area B. Length c. Either A or B D. None of the above
3
Physics
ABCD is a quadrilateral. If \( A C \) and \( B D \) bisect each other then ABCD must be a A. triangle B. cylinder c. parallelogram D. pyramid
2
Maths
Which organism are called primitive and how are they different from the socalled advanced organisms?
0
Biology
The points \( A(4,5,10), B(2,3,4) \) and \( C(1, \) 2,-1) are three vertices of a parallelogram ABCD. Find the vector equations of the sides \( A B \) and \( B C \) and also find the coordinates of point \( D \)
2
Maths
A force of \( 10^{3} \mathrm{N} \) stretches the length of a hanging wire by 1 millimeter. The force required to stretch a wire of same material and length but having four times the diameter by 1 millimeter is : \( \mathbf{A} \cdot 4 \times 10^{3} \mathrm{N} \) В \( \cdot 16 \times 10^{3} \mathrm{N} \) c. \( \frac{1}{4} \times 10^{3} \mathrm{N} \) D. \( \frac{1}{16} \times 10^{3} \mathrm{N} \)
3
Physics
Given the relation \( \boldsymbol{R}=\{(\mathbf{1}, \mathbf{2}),(\mathbf{2}, \mathbf{3})\} \) on the set \( A=\{1,2,3\} \), the minimum number of ordered pairs which when added to \( R \) make it an equivalence relation is \( \mathbf{A} \cdot \mathbf{5} \) B. 6 \( c \cdot 7 \) \( D \)
2
Maths
The product is: \( A \) B. \( c \) D.
1
Chemistry
Read the statements regarding muscle proteins and identify the correct statements i. Actin is a thin filament and is made up of two F-actins ii. Complex protein, tropomyosin is distributed at regular intervals on the troponin iii. Myosin is a thick filament which is also a polymerized protein iv. Globular head of meromyosin consists of light meromyosin (LMN) A. i, iii and iv are correct B. i and iii are correct c. i, ii and iii are correct D. i, ii and iv are correct E. ii and iv are correct
0
Biology
\( \int \frac{e^{x} d x}{\cosh x+\sinh x}= \) \( A \cdot \log \cosh x+c \) B. \( \tan x+\cot x+c \) C \( \cdot \frac{1}{2} e^{2 x}+c \) D. \( x+c \)
2
Maths
In the figure above, line \( \iota \) (not shown) is perpendicular to segment \( A B \) and bisects segment \( A B \). Which of the following points lies on line \( \iota \) ? A \( \cdot(0,2) \) В \( \cdot(1,3) \) \( c .(3,1) \) D. (3,3) E. 6,6
2
Maths
Given the equilibrium constants:\( \boldsymbol{C I}^{-}+\boldsymbol{H} \boldsymbol{g} \boldsymbol{C I}^{+} \rightleftharpoons \boldsymbol{H} \boldsymbol{g} \boldsymbol{C I}_{2} \) \( \boldsymbol{K}_{\mathbf{1}}=\mathbf{3} \times \mathbf{1 0}^{\mathbf{6}} \) \( \boldsymbol{H} \boldsymbol{g} \boldsymbol{C} \boldsymbol{I}_{2}+\boldsymbol{C} \boldsymbol{I}^{-} \rightleftharpoons \boldsymbol{H} \boldsymbol{g} \boldsymbol{C} \boldsymbol{I}_{3}^{-} ; \boldsymbol{K}_{2}=\boldsymbol{8} . \boldsymbol{9} \) The equilibrium constants for the disproportionation equilibrium \( 2 H g C I_{2} \rightleftharpoons H g C I^{+} H g C I_{3}^{-} \) is : \( \mathbf{A} \cdot 3 \times 10^{-6} \) В. \( 4 \times 10^{-6} \) c. \( 3.5 \times 10^{-6} \) D. \( 4.5 \times 10^{-6} \)
1
Chemistry
In the double helix model of DNA as proposed by Watson and Crick, each base pair is how far from the next base pair? \( A \cdot 0.034 \mathrm{nm} \) B. 0.34 nm \( c .3 .4 \mathrm{nm} \) D. 34 nm
0
Biology
Which of the following is a component of dynamo? B. Armature coil c. Slip Rings D. All of the above
3
Physics
Ultraviolet light of wavelength \( \lambda_{1} \) and \( \lambda_{2} \) when allowed to fall on hydrogen atoms in their ground state is found to liberate electron with kinetic energy \( 1.8 e V \) and 4.0 \( e V \) respectively. Find the value of \( \frac{\lambda_{1}}{\lambda_{2}} \) A \( -\frac{7}{8} \) B. \( \frac{8}{7} \) c. \( \frac{9}{20} \) D. \( \frac{20}{9} \)
3
Physics
Name the most abundant elements which occur in nucleic acid macromolecules A. \( C, H, O, N, S, \) в. \( C, O, N, S \) c. \( C, O, P, S \) D. \( C, H, O, N, P \) ह. \( H, O, P \)
0
Biology
In a sample of semi conductor mobilities of electrons and holes are \( 24 \times 10^{3} c m^{2} V^{-1} S^{-2} \) and \( 0.2 \times \) \( 10^{3} \mathrm{cm}^{2} V^{-1} S^{-1} \) respectively. If the density electrons is \( 0.8 \times 10^{14} \mathrm{cm}^{-3} \) and that of holes is \( 0.4 \times 10^{14} \mathrm{cm}^{-3} \) Find the nature of semi conductor and its conductivity
3
Physics
The number \( 4^{n}+15 n-1 \) is a multiple of 9 for any natural \( n \) A. True B. False
2
Maths
The shunt required to send \( 10 \% \) of the main current through a moving coil galvanometer of resistance \( 99 \Omega \) is \( \mathbf{A} \cdot 99 \Omega \) в. \( 9.9 \Omega \) c. \( 9 \Omega \) D. \( 10 \Omega \) E . \( 11 \Omega \)
3
Physics