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If \( A \) and \( B \) are two matrices of same
order, then \( A+B \) is equal to
\( \mathbf{A} \cdot B+A \)
в. \( B A \)
c. \( (A+B) T \)
D. \( A-B \) | 2 | Maths |
If \( \left.A=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right] \text { (where } b \neq c\right) \) and satisfies the equation \( A^{2}+k I=0, \) then
\( \mathbf{A} \cdot a+d=0 \)
B . \( k=-|A| \)
c. \( k=|A| \)
D. None of the above | 2 | Maths |
The adjoining curve represents the
velocity-time graph of a particle, its
acceleration values along \( \mathrm{O} \mathrm{A}, \mathrm{AB} \) and \( \mathrm{BC} \)
in \( m \cdot / \sec ^{2} \) are respectively:
A. 1,0,-0.5
В. 1,0,0.5
c. 1,1,0.5
D. \( 1,0.5 . \) | 3 | Physics |
The earth has volume 'V' and surface
area 'A'; then its capacitance would be:
A \( \cdot_{4 \pi \in_{0}} \frac{A}{V} \)
в. \( _{4 \pi \in_{0}} \frac{V}{A} \)
c. \( _{12 \pi \in_{0} \frac{V}{A}} \)
D. \( _{12 \pi \in_{0}} \frac{A}{V} \) | 3 | Physics |
Let \( \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{2} & \mathbf{4} \\ \mathbf{3} & \mathbf{2}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{cc}\mathbf{1} & \mathbf{3} \\ -\mathbf{2} & \mathbf{5}\end{array}\right] \) and
\( \boldsymbol{C}=\left[\begin{array}{cc}\mathbf{- 2} & \mathbf{5} \\ \mathbf{3} & \mathbf{4}\end{array}\right] . \) Find:
\( \boldsymbol{A}+\mathbf{2} \boldsymbol{B} \) | 2 | Maths |
The net charge inside an atom is zero
because:
A. the magnitude of positive charge is more than negative charge inside atom
B. the magnitude of positive and negative charge is same inside atom
C. the magnitude of positive and negative charge is same outside atom
D. the magnitude of positive charge is less than negative charge inside atom | 1 | Chemistry |
Assertion
Colloidal silver iodide is prepared by adding silver nitrate in slight excess to potassium iodide solution. When
subjected to an electric field, the
colloidal particles migrate to the anode.
Reason
Colloidal particles adsorb ions and thus become electrically charged.
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 |
Assertion
Alcohols are dehydrated to hydrocarbons in the presence of acidic
zeolites
Reason
Zeolites are porous catalysts.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect | 1 | Chemistry |
In an election, a candidate secured \( 47 \% \) of votes polled and lost the election by 12,366 votes. Find the total votes polled and the votes secured by winning candidate.
A. 2,06,133 and 1,09,266
B. 2,16,100 and 1,19,233
c. 2,06,100 and 1,09,233
D. 2,06,233 and 1,09,200 | 2 | Maths |
Write balanced chemical equations to
show how \( S O_{3} \) is converted to Sulphuric
acid at the contact process. | 1 | Chemistry |
If \( f(x)=3 x^{2}+15 x+5, \) then the
approximate value of \( \boldsymbol{f}(\mathbf{3} . \mathbf{0 2}) \) is.
A . 47.66
B. 57.66
c. 67.66
D. 77.66 | 2 | Maths |
State which of the following solutions contain both molecules and ions?
A. \( C H_{3} \) СООН
в. \( N a_{2} C O_{3} \)
c. oxalic acid
D. All of these | 1 | Chemistry |
- Q. A B | 2 | Maths |
Perform the following divisions and give the remainders.
\( \left(x^{2}+15 x+56\right) \div(x+8) \) | 2 | Maths |
If a small angled prism, made of glass is immersed in a liquid of refractive
index '1' and a ray of light is made to incident on it, then :
A. its deviation will be zero
B. it will suffer total reflection
c. the emergent ray is bent towards the edge of the prism
D. the emergent ray is bent towards the base of prism | 3 | Physics |
Solve the following inequalities graphically in two-dimensional plane:
\( y+8 \geq 2 x \) | 2 | Maths |
Bag \( I \) contains 3 red and 4 black balls
and Bag \( I I \) contains 4 red and 5 black
balls. One ball is transferred from Bag \( \boldsymbol{I} \) and Bag \( I I \) and then a ball is drawn
from Bag \( I I . \) The ball so drawn is found
to be red in colour. Find 310 times the
probability that the transferred ball is
black. | 2 | Maths |
Distinguish between elastic and plastic
materials. | 3 | Physics |
A nuclide \( A \) undergoes \( \alpha \) decay and
another nuclide \( B \) undergoes \( \beta \) decay.
Then
This question has multiple correct options
A. all the \( \alpha \) -particles emitted by \( A \) will have almost the same speed
B. the \( \alpha \) -particles emitted by \( A \) may have widely different speeds
C . all the \( \beta \) -particles emitted b \( B \) will have almost the same speed
D. the \( \beta \) -particles emitted by \( B \) may have widely different speeds. | 3 | Physics |
A particle is acted simultaneously by mutually perpendicular simple harmonic motions \( x=a c o s \omega t \) and \( y= \)
asinwt. The trajectory of motion of the
particle will be
A. an ellipse
B. a parabola
c. a circle
D. a straight line | 3 | Physics |
In an experiment, 1.35 mol of oxygen (O2) are heated at constant pressure starting at \( 11.0^{\circ} \mathrm{C} \). How much heat must be added
to the gas to double its volume?
A \( \cdot 1.12 \times 10^{4} J \)
В. \( 1.40 \times 10^{4} \)
c. \( \$ \$ 2.12 \) ltimes \( 10^{\wedge} 4 \$ \$ \) J
D. \$\$3.12x10^4 J\$\$ | 3 | Physics |
In germanium, the energy gap is about
\( 0.75 e V . \) The wavelength of light which germanium starts absorbing is
A \( \cdot 5000 \),
B . 1650 ,
c. 16500 ,
D. 165000 , | 3 | Physics |
For the cell \( \boldsymbol{M} / \boldsymbol{M}^{+} \| \boldsymbol{X}^{-} / \boldsymbol{X}, \boldsymbol{E}_{M^{+} / M}^{\circ}= \)
0.44 and \( E_{X / X^{-}}^{\circ}=0.33 V . \) From the data it can be deduced that \( M+X \rightarrow \)
\( M^{+}+X^{-} \) is spontaneous.
A. \( M+X \rightarrow M^{+}+X^{-} \) is spontaneous
В. \( E_{\text {Сец}}=0.77 V \)
c. \( E_{\text {Cell }}=-0.77 V \)
D. None | 1 | Chemistry |
\( A l+M n O_{4}^{-} \rightarrow A l(O H)_{4}^{-}+M n O_{2} \)
For this reaction the oxidation state of
\( A l \) and \( M n \) in the product are respectively:
\( \mathbf{A} \cdot+3 a n d+4 \)
B. +4 and +4
c. +3 and +7
D. +2 and +4 | 1 | Chemistry |
In Bryophytes, what is absent?
A. Embryo formation
B. Fertilization
c. Motile gametes
D. True roots and vascular tissue | 0 | Biology |
topp
\( Q \)
the atoms are almost lacking in mobility, their kinetic energy is negligibly small. It is this lack of mobility which makes a solid rigid. This rigidity is the cause of elasticity in solids. In some solids such as steel, the atoms are bound together by larger nter-atomic forces than in solids such as aluminum. Thus, the elastic behavio
varies from solid to solid. Even fluids
exhibit elasticity. All material bodies get deformed when subjected to a suitable force. The ability of a body to regain its original shape and size is called elasticity. The deforming force per unit area is called stress. The
change in the dimension (length, shape or volume) divided by the original dimension is called strain. The three kinds of stress are tensile stress
shearing stress, and volumetric stress. The corresponding strains are called tensile strain, shearing strain and volume strain. According to Hooke's law, within the elastic limit, stress is proportional to strain. The ratio stress/strain is called the modulus of
elasticity. The figure shows the strain-stress graphs for materials A and B. From the graph it follows that:
A. material A has a higher Young's mod
B. material B has a higher Young's modulus than
\( c \)
es
for | 3 | Physics |
Two moles of a gas \( A \) at \( 27^{\circ} \mathrm{C} \) mixed
with a 3 moles of \( \operatorname{gas} \) at \( 37^{\circ} \mathrm{C} \). If both are monatomic ideal gases, what will be the temperature of the mixture?
\( \mathbf{A} \cdot 66^{\circ} C \)
В. \( 11^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 22^{\circ} C \)
D. \( 33^{\circ} \mathrm{C} \) | 3 | Physics |
A beam of alpha-particles is fires at a
piece of gold foil as shown below. After
striking the gold foil, in which direction
do most of the alpha-particles travel?
\( A \cdot P \)
в. \( Q \)
\( c . R \)
D. | 3 | Physics |
If 6,10,14 are the sides of a triangle, then its obtuse angle is
A \( \cdot 110^{\circ} \)
B . \( 120^{\circ} \)
\( \mathrm{c} \cdot 135^{\circ} \)
D. \( 115^{\circ} \) | 2 | Maths |
is known as incomplete because, in this subclass, sepals and petals are not distinct. Flowers usually possess only one whorl of perianth which is sepaloid.
A. Polypetalae
B. Gamopetalae
c. Monochlamydeae
D. Both A and B | 0 | Biology |
What is the ratio of the enthalpy yield on combustion of hydrogen atoms to steam to the yield on combustion of an equal mass of hydrogen molecules to steam? Given \( : \boldsymbol{H}_{2}(\boldsymbol{g})+\frac{\mathbf{1}}{\mathbf{2}} \boldsymbol{O}_{2}(\boldsymbol{g}) \rightarrow \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}), \boldsymbol{\Delta} \boldsymbol{H}=-\boldsymbol{2} \mathbf{4} 2 \) kJ,Bond energy
\( (\boldsymbol{H}-\boldsymbol{H})=\mathbf{4 3 6} \mathbf{k J} \)
A . 0.80:
B. 1: 0.80
c. 1.80: 1
D. 2.80: | 1 | Chemistry |
Assertion \( f: R \rightarrow\left[0, \frac{\pi}{2}\right) \) defined by \( f(x)= \)
\( \tan ^{-1}\left(x^{2}+x+a\right) \) is onto for all \( a \in \)
\( \left(-\infty, \frac{1}{4}\right) \)
Reason
For onto function codomain of \( \boldsymbol{f}= \)
Range of \( \boldsymbol{f} \)
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 | 2 | Maths |
Hydrogen peroxide acts both as an oxidising and as a reducing agent, depending upon the nature of the reacting species. In which of the
following cases \( H_{2} O_{2} \) acts as a reducing agent in acid medium?
A. \( M n O_{4} \)
B. \( C r_{2} O_{7}^{2} \)
\( \mathbf{c} \cdot S O_{3}^{2} \)
D. \( K I \) | 1 | Chemistry |
The order not in accordance with the
property mentioned is ?
\( \mathbf{A} \cdot L i<N a<K<R b- \) atomic radius
B \( . F>N>O>C \) - ionisation enthalpy
c. \( S i<P<S<C l \) - electronegativity
D. \( F<C l<B r<I \) - electronegativity | 1 | Chemistry |
An electric dipole consist of two opposite charges each of magnitude \( 1 \mu C \) separated by a distance of \( 2 \mathrm{cm} \) The dipole is placed in an external field of \( 10^{5} \mathrm{N} / \) C.The maximum torque on the
dipole is:
A. \( 2 \times 10^{-4} J \)
B . \( 2 \times 10^{-3} J \)
c. \( 4 \times 10^{-3} J \)
D. \( 10^{-3} N m \) | 3 | Physics |
Two charged particles moving with
velocities \( v_{1} \) and \( v_{2} \) have some
separation between them. The ratio of magnetic force to the Colombian force between them is (c is speed of light)
A. \( \frac{v_{1} v_{2}}{c^{2}} \)
в. \( \frac{c^{2}}{v_{i} v_{2}} \)
c. \( \frac{c}{v_{1}} \)
D. \( \frac{c}{v_{2}} \) | 3 | Physics |
What is a 'soap'? How is it prepared? | 1 | Chemistry |
The area of the part of the square filed in which a horse tied to a fixed pole at
one comer by means of a 10 m rope, can
graze is
A . \( 25 \pi s q . m \).
в. \( 100 \pi s q . m \)
c. \( 50 \pi s q . m \)
D. \( 5 \pi s q . m . \) | 2 | Maths |
What do we call this number which is
characteristic of a particular element? | 1 | Chemistry |
The current density across a cylindrical
conductor of radius \( R \) varies in
magnitude according to the equation \( J=J_{0}\left(1-\frac{r}{R}\right) \) where \( r \) is the distance from the central axis. Thus, the
current density is a maximum \( J_{0} \) at
that axis \( (r=0) \) and decreases linearly
to zero at the surface \( (r=R) \). Find the
value of current in terms of \( J_{0} \) and
conductor's cross-sectional area | 3 | Physics |
\( N \) similar slabs of cubical shape of
edge \( b \) are lying on the ground. Density
of material of the slab is \( \rho . \) Work done to
arrange them one over the other is :
(Given acceleration due to gravity \( =g) \)
A \( \cdot\left(N^{2}-1\right) b^{3} \rho g \)
в. \( (N-1) b^{4} \rho g \)
c. \( \frac{1}{2}\left(N^{2}-N\right) b^{4} \rho g \)
D. \( \left(N^{2}-N\right) b^{4} \rho g \) | 3 | Physics |
The R.I of glass and water w.r.t air are
1.5 and \( 4 / 3 \) respectively. What is the R. of glass w.r.t water.
\( ^{\mathrm{A}} \cdot \frac{1}{3 \pi}\left(\frac{\left[R_{2}-R_{1}\right]\left[2 R_{1}+R_{2}\right]}{R_{1}+R_{2}}\right) \)
В. \( \frac{1}{3 \pi}\left(\frac{\left[R_{2}-R_{1}\right]\left[2 R_{1}+R_{2}\right]}{R_{1}-R_{2}}\right) \) above
c. \( \frac{1}{3 \pi}\left(\frac{\left[R_{2}+R_{1}\right]\left[2 R_{1}+R_{2}\right]}{R_{1} \times R_{2}}\right) \) above
D \( \cdot \frac{1}{3 \pi}\left(\frac{\left[R_{2} \times R_{1}\right]\left[2 R_{1}+R_{2}\right]}{R_{1}-R_{2}}\right) \) above | 3 | Physics |
According to the quantum theory of light, the energy of light is carried in discrete units called
A. alpha particles
B. photoelectrons
c. protons
D. photons | 3 | Physics |
Cisplatin compound is used in the treatment of:
A. malaria
B. cancer
c. AlDS
D. yellow fever | 1 | Chemistry |
Assertion
If a and b are positive and [x] denotes
the greatest integer \( \leq x \), then \( \lim _{x \rightarrow 0^{+}} \frac{x}{a}\left[\frac{b}{x}\right]=\frac{b}{a} \)
Reason
\( \lim _{x \rightarrow \infty} \frac{\{x\}}{x}=0, \) where denotes fractional
part of \( \mathbf{x} \)
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 | 2 | Maths |
Name the chronic respiratory disorder caused mainly by cigarette smoking.
A. Emphysema
B. Asthma
c. Respiratory acidosis
D. cough | 0 | Biology |
The number of neutrons in the element
Lin the following nuclear changes is
\( \boldsymbol{Y}^{\boldsymbol{X}} \boldsymbol{N} \rightarrow_{\boldsymbol{B}}^{\boldsymbol{A}} \boldsymbol{L}+\mathbf{2} \boldsymbol{\beta}^{+} \)
A. 146
в. 144
\( c .140 \)
D. 142 | 3 | Physics |
If \( 0<x<1000 \) and \( \left[\frac{x}{2}\right]+\left[\frac{x}{3}\right]+ \)
\( \left[\frac{x}{5}\right]=\frac{31}{30} x \) where \( [x] \) is the greatest
integer less than or equal to \( x \), the number of possible values of \( x \) is
A . 34
B. 32
\( c .33 \)
D. 30 | 2 | Maths |
A cube has a side of length \( 1.2 \times 10^{-2} . \) Its volume upto correct significant figures is
A . \( 1.7 \times 10^{-6} m^{3} \)
В . \( 1.73 \times 10^{-6} m^{3} \)
\( \mathbf{c} \cdot 1.78 \times 10^{-6} m^{3} \)
D. \( 1.732 \times 10^{-6} \mathrm{m}^{3} \) | 3 | Physics |
A solution containing 3.3 g of a substance in 125 g of benzene (b.pt. \( = \) \( 80^{\circ} \mathrm{C} \) ) boils at \( 80.66^{\circ} \mathrm{C} \). If \( \mathrm{K}_{b} \) for
benzene is \( 3.28 \mathrm{K} \mathrm{kg} \) mol\( ^{-1} \) the
molecular mass of the substance will
be:
A . 130.20
B. 129.20
c. 132.20
D. 131.20 | 1 | Chemistry |
toppr
Q Type your question
materıdı, then oy onens law, \( \overline{\sin \theta_{2}}= \)
\( \frac{n_{2}}{n}, \) it is understood that the refracted
\( \boldsymbol{n}_{\mathbf{1}} \)
ray bends towards the normal. But it
never emerges on the same side of the
normal as the incident ray. According to
electromagnetism, the refractive index
of the medium is given by the relation, \( \boldsymbol{n}=\left(\frac{\boldsymbol{c}}{\boldsymbol{v}}\right)=\pm \sqrt{\boldsymbol{\epsilon}_{\boldsymbol{r}} \boldsymbol{\mu}_{\boldsymbol{r}}}, \) where \( \boldsymbol{c} \) is the
speed of electromagnetic waves in
vacuum, \( \boldsymbol{v} \) its speed in the medium, \( \boldsymbol{\epsilon}_{\boldsymbol{r}} \)
and \( \mu_{r} \) are the relative permittivity and
permeability of the medium respectively. In normal materials, both
\( \epsilon_{r} \) and \( \mu_{r} \) are positive, implying positive
\( n \) for the medium. When both \( \epsilon_{r} \) and \( \mu_{r} \)
are negative, one must choose the
negative root of \( n . \) Such negative
refractive index materials can now be
artificially prepared and are called
meta-materials. They exhibit significantly different optical behavior, without violating any physical laws.
since \( n \) is negative, it results in a
change in the direction of propagation
of the refracted light. However, similar
to normal materials, the frequency of
light remains unchanged upon
refraction even in meta-materials.
Choose the correct statement.
A. The speed of light in the meta-material is \( v=c|n| \)
B. The speed of light in the meta-material is \( v=\frac{c}{|n|} \)
C. The speed of light in the meta-material is \( v=c \)
D. The wavelength of the light in the meta-material \( \left(\lambda_{m}\right) \) is given by \( \lambda_{m}=\lambda_{a i r}|n| \), where \( \lambda_{\text {air}} \) is the wavelength of
the light in air | 3 | Physics |
Which of the following solutions when
added to \( 1 L \) of a \( 0.1 M C H_{3} C O O H \)
solution will cause no change in either the degree of dissociation of
\( C H_{3} C O O H \) or the \( p H \) of the solution.
\( \boldsymbol{K}_{\boldsymbol{a}}=\mathbf{1 . 8} \times \mathbf{1 0}^{\mathbf{4}} \) for \( \boldsymbol{C H}_{\mathbf{3}} \) COOH?
A \( .3 \mathrm{mM} \) НСООН \( \left(K_{a}=6 \times 10^{4}\right. \)
в. 0.1 М \( C H_{3} \) СОО Na .
c. 1.34 m \( M \) НС\( l \)
D. 0.1 М \( C \) Сз СОООН | 1 | Chemistry |
A body of mass 5 kg is raised vertically to a height of \( 10 \mathrm{m} \) by a force of \( 170 \mathrm{N} \) the velocity of the body at this height will be
\( \mathbf{A} \cdot 15 m / s \)
в. \( 37 m / s \)
c. \( 9.8 m / s \)
D. \( 21.9 \mathrm{m} / \mathrm{s} \) | 3 | Physics |
A long solenoid is fabricated to closely winding wire of radius \( 0.5 \mathrm{mm} \) over a cylinderical frame, so that the
successive turns nearly touch each other. The magnetic field at the centre of solenoid, if it carries a current of 5 A
is?
\( \mathbf{A} \cdot 2 \pi \times 10^{-2} \mathbf{T} \)
В . \( 2 \pi \times 10^{-3} \mathrm{T} \)
с. \( 2 \pi \times 10^{-4} \mathrm{T} \)
D. \( 2 \pi \times 10^{-5} \mathrm{T} \) | 3 | Physics |
Hydrogen is a good reducing agent What do you understand by the above statement? | 1 | Chemistry |
If \( f(x)=[x \sin \pi x], \) then which of the
following is incorrect?
A. \( f(x) \) is continuous at \( x=0 \)
B. \( f(x) \) is continuous in (-1,0)
c. \( f(x) \) is differentiable at \( x=1 \)
D. \( f(x) \) is differentiable in (-1,1) | 2 | Maths |
Expression the following as the product of expression through prime factorization
\( \mathbf{2 8 8} \) | 2 | Maths |
Find the values of \( x, \) if \( \left|\begin{array}{cc}\mathbf{2 x} & \mathbf{5} \\ \mathbf{8} & \boldsymbol{x}\end{array}\right|=\left|\begin{array}{ll}\mathbf{6} & \mathbf{5} \\ \mathbf{8} & \mathbf{3}\end{array}\right| \) | 2 | Maths |
Which of the following statements regarding molecularity of the reaction
is wrong?
A. It may be either whole number or fractional.
B. It is calculated from the reaction mechanism.
c. It depends on the rate determining step.
D. It is number of molecules of reactants taking part in a single step chemical reaction | 1 | Chemistry |
Meiosis not occurs in
A . Ovule
B. Anther
c. Microsporangia
D. shoot tip | 0 | Biology |
\( N=2.5 \times 10^{3} \) wire turns are uniformly
wound on a wooden toroidal core of very
small cross-section. A current \( I \) flows
through the wire. If the ratio \( \eta \) of the magnetic induction inside the core to that at the centre of the toroid is \( x \times \)
\( 10^{2} . \) Find \( x \) | 3 | Physics |
Evaluate
\( \cos ^{-1} \frac{1}{2}+2 \sin ^{-1} \frac{1}{2} \) | 2 | Maths |
An empty bottle is closed tightly with a
cork and then heated. After some time
the cork shoots out from the mouth of
the bottle. Give reason. | 1 | Chemistry |
The Tunica-Corpus theory was proposed by
A. Haberlandt
B. Schmidt
c. Hanstein
D. Nageli | 0 | Biology |
When \( H_{2} O_{2} \) is added to an acidified
solution of \( K_{2} C r_{2} O_{7}, \) the solution:
A. turns green due to the formation of \( C r_{2} O_{3} \)
B. turns yellow due to the formation of \( K_{2} C r O_{4} \)
c. turns deep blue-violet due to the formation of \( \operatorname{Cr} O\left(O_{2}\right)_{2} \)
D. gives green precipitate due to the formation of \( C r(O H)_{3} \) | 1 | Chemistry |
The standard reduction potentials of
\( Z n^{2+} \mid Z n \) and \( C u^{2+} \mid C u \) are \( -0.76 V \) and
\( +0.34 \mathrm{V} \) respectively. What is the cell EMF of the following cell?
\( Z n\left|Z n^{2+}(0.05 M)\right|\left|C u^{2+}(0.005 M)\right| C u \)
\( \left[\frac{R T}{F}=0.059\right] \)
A . 1.1295
в. 1.0705 V
c. 1.1000
D. 1.0412 v | 1 | Chemistry |
Hydrogen gas is not liberated when the
following metal is added to dil. \( \boldsymbol{H} \boldsymbol{C l} \)
\( \mathbf{A} \cdot A g \)
в. \( Z n \)
\( \mathrm{c} . M g \)
D. \( S n \) | 1 | Chemistry |
In an ellipse the length of minor axis is equal to the distance between the foci,
the length of latus rectum is 10 and \( e=\frac{1}{\sqrt{2}} . \) Then the length of semi major
axis is:
A . 16
B . 18
c. 10
D. 22 | 2 | Maths |
find the acute angle between \( y=5 x+ \)
6 and \( y=x \) | 2 | Maths |
The value of \( \int_{0}^{1} \frac{\log x}{1+x} d x \) equals This question has multiple correct options
A \( \cdot \frac{\alpha^{2}}{12} \)
\( ^{\mathbf{B}}-\int_{0}^{1} \frac{\log (1+x)}{x} \)
\( \mathbf{C} \cdot-\frac{\pi^{2}}{12} \)
D. None of these | 2 | Maths |
Two towns \( T_{1} \) and \( T_{2} \) are connected by
a regular bus service. A
scooterist moving from \( \boldsymbol{T}_{1} \) to \( \boldsymbol{T}_{2} \) with
speed of \( 20 k m h^{-1} \) notices that a bus
goes past it every 21 minutes in the
direction of his motion and every 7
minutes in the opposite direction. If a
bus leaves in either direction every \( t \)
minutes, the period \( t \) is
A . 1.5 minute
B. 9.5 minute
c. 6 minute
D. 10.5 minute | 3 | Physics |
Field lines are shown close together
where the
A. magnetic field is far apart
B. magnetic fields is zero
c. magnetic fields is greater
D. all | 3 | Physics |
Find the total surface area of a closed
box of wood whose dimensions are \( 2 \mathrm{m} \)
\( 1.5 \mathrm{m} \) and \( 80 \mathrm{cm}, \) cost of wood used to
make it at the rate of Rs.120.55 per \( m^{2} \) | 2 | Maths |
Hierarchical level below the category of family is
A. Phylum
B. Kingdom
c. Genus
D. class | 0 | Biology |
Mercury is transported in the container's made up of
\( A \cdot A l \)
B. Fe
c. \( A g \)
D. Pb | 1 | Chemistry |
There are two long co-axial solenoids of
same length \( l \). the inner and outer coils
have radii \( r_{1} \) and \( r_{2} \) and number of
turns per unit length \( n_{1} \) and \( n_{2} \)
respectively. The rate of mutual
inductance to the self-inductance of the
inner-coil is :
\( \mathbf{A} \cdot \frac{n_{2}}{n_{1}} \cdot \frac{r_{2}^{2}}{r_{1}^{2}} \)
B. \( \frac{n_{2}}{n_{1}} \cdot \frac{r_{1}}{r_{2}} \)
c. \( \frac{n_{1}}{n_{2}} \)
D. \( \frac{n_{2}}{n_{1}} \) | 3 | Physics |
Fruits are not formed in gymnosperms,
because
A. Fertilization is absent
B. Pollination is absent
c. Seeds are not formed
D. Ovary is absent | 0 | Biology |
\( \ln \operatorname{lab} H_{2} \mathrm{O}_{2} \) is prepared by
A \( \cdot \) cold \( H_{2} S O_{4}+B a O_{2} \)
в. \( H C l+B a O_{2} \)
c. \( \operatorname{conc.H}_{2} \mathrm{SO}_{4}+\mathrm{Na}_{2} \mathrm{O}_{2} \)
D. \( H_{2}+O_{2} \) | 1 | Chemistry |
Deep sea divers use mixture of | 1 | Chemistry |
Which of the following statements is
incorrect?
A. Earthworms and leeches are hermaphrodite animals.
B. Young ones of animals showing external fertilisation receive little or no parental care.
C. If the egg is not fertilised, it is thrown out of the body along with the lining of the uterus as menstrual flow.
D. Sex organs in human beings are formed at puberty. | 0 | Biology |
The displacement x of a particle varies with time \( t \) as \( x=a e^{-\alpha t}+b e^{\beta t}, \) Where \( a \)
b, \( \alpha \) and \( \beta \) are positive constants. The
velocity of the particle will:
A. Be independent of \( \alpha \) and \( \beta \)
B. Go on increasing with time
c. Drop to zero when \( \alpha=\beta \)
D. Go on decreasing with time | 3 | Physics |
Is it true to say that area of a segment of a circle is less than the area of its
corresponding sector? Why?
A. yes, it is true for minor segment since ar.minor segment = ar.sector-triangle made by the radii and the chord of the segment.
B. Yes, it is only true for major segment since ar.minor segment = - ar.sector-triangle made by the radii and the chord of the segment
C. No, it is only true for major segment since ar.minor segment
=ar.sector-triangle made by the radii and the chord of the segment.
D. No, it is only true for minor segment since ar.minor segment
=ar.sector-triangle made by the radii and the chord of the segment. | 2 | Maths |
\( (1+x)^{21}+(1+x)^{22}+\ldots+(1+x)^{30} \)
coefficient of \( \boldsymbol{x}^{5} \) | 2 | Maths |
If \( f^{n}(x) \) be continuous at \( x=0, f(0) \neq \)
\( \mathbf{0}, \boldsymbol{f}^{\prime}(\mathbf{0}) \neq \mathbf{0} \) and
\( \lim _{x \rightarrow 0} \frac{2 f(x)-3 a f(2 x)+b f(8 x)}{\sin ^{2} x} \) exists
Then the values of \( a \) and \( b \) are
A \( \cdot b=\frac{1}{3}, a=\frac{7}{9} \)
В. \( a=1, b=1 \)
c. \( a=b=-1 \)
D. \( a=-1, b=1 \) | 2 | Maths |
The refracting angle of a prism is \( A, \) and refractive index of the material of the
prism is cot (A/2). The angle of minimum deviation is :
A \( \cdot 90^{\circ}-A \)
\( A \)
В. \( 180^{\circ}+2 A \)
D. \( 180^{\circ}-2 A \) | 3 | Physics |
The number of isomeric amines
possible for the formula \( \boldsymbol{C}_{3} \boldsymbol{H}_{\mathbf{9}} \boldsymbol{N} \)
A . 4
B. 3
\( c .5 \)
D. 6 | 1 | Chemistry |
From the following which is not an emulsifer?
A. Agar
B. Milk
c. Gum
D. Soap | 1 | Chemistry |
Which one of the following is the correct set with respect to molecule,
hybridization and shape?
A. \( B e C l_{2}, s p^{2} \), linear
B . \( B e C l_{2}, s p^{2}, \) triangular planar
c. \( B C l_{3}, s p^{2} \), triangular planar
D. \( B C l_{3}, s p^{3} \), tetrahedral | 1 | Chemistry |
Find the roots of each of the
following quadratic equations by the method of completing the squares
\( 2 x^{2}-5 x+3=0 \)
A. \( x=2, x=-7 \)
В. \( x=-1, x=3 \)
c. \( x=1, x=\frac{3}{2} \)
D. \( x=1, x=\frac{1}{2} \) | 2 | Maths |
During the formation of hydronium ion,
water molecule acts as acceptor.
Enter 1 if the statement is True, else 0 | 1 | Chemistry |
Assertion: Chloroform gives chloropicrin
with \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \) vapour
Reason: Chloropicrin is used as an
insecticide
A. Both Assertion and Reason are true and Reason is the correct explanation to Assertion
B. Both Assertion and Reason are true and Reason is not the correct explanation to Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true | 1 | Chemistry |
Two plane mirrors \( M_{1} \) and \( M_{2} \) are
inclined at angle \( \theta \) as shown in the
figure. A ray of light I, which is parallel
to \( M_{1} \) strikes \( M_{2} \) and after two
reflections, the ray 2 becomes parallel
to \( M_{2} . \) The angle \( \theta \) is
A. 0
B. 30
\( c \cdot 45 \)
D. 60 | 3 | Physics |
A charge \( Q \) is placed on to two opposite corner of a square. A charge q is placed at each of other two corners. Given that
resultant electric force on \( Q \) is zero,
then \( Q \) is equal to :
A \( \cdot(2 \sqrt{2}) / q \)
B . \( -q /(2 \sqrt{2}) \)
c. \( (2 \sqrt{2}) q \)
D. \( (-2 \sqrt{2}) q \) | 3 | Physics |
Describe double circulation in human
beings schematically. Why is it
necessary? | 0 | Biology |
In metals, the conduction bands are
incompletely filled orbitals that allow electrons to flow.
A. true
B. false
c. orbit
D. none of these | 3 | Physics |
A train \( 110 m \) long is travelling at \( 60 k m / h r, \) In what time it will cross a
cyclist moving at \( 6 k m / h r, \) in the same direction? | 3 | Physics |
Assertion: Input of energy is required by electrolytic cells. Reason: Electrolytic cells have just one container, while voltaic cells have two
A. Both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c. Assertion is true but Reason is false
D. Assertion is false but Reason is true
E. Both Assertion and Reason are false | 1 | Chemistry |
A conic \( C \) passing through \( P(1,2) \) is
such that the slope of its tangent at any point on the conic is inversely proportional to the ordinate of that point and conic \( C \) passes through origin. If a circle touches the conic \( C \) at the
point \( \boldsymbol{P}(1,2) \) and passes through the focus of the conic then its radius is-
A.
B. \( \sqrt{2} \)
\( c \cdot 2 \)
D. \( \sqrt{3} \)
E. \( \sqrt{5} \) | 2 | Maths |
Two identical spheres, one positively charged and the other negatively charged are held d cm apart. If the magnitude of the charges on the two spheres is equal, find the electric potential at a point midway on the line joining the centres of the two spheres.
A. zero
B. \( 10 \mathrm{v} \)
\( c .5 v \)
D. \( 1.6 \times 10^{-19} \mathrm{V} \) | 3 | Physics |
a) A manufacturing company makes two models \( A \) and \( B \) of a product. Each
piece of model \( A \) requires 9 labor hours
for fabricating and 1 labor hour for finishing. Each piece of model \( \boldsymbol{B} \) requires 12 labor hours for finishing
and 3 labor hours for finishing. For fabricating and finishing, the maximum labor hours available are:
180 and 30 respectively. The company
makes a profit of Rs. 8000 on each piece of model \( A \) and Rs. 12000 on each piece
of model \( B \). How many pieces of model
\( A \) and model \( B \) should be
manufactured per week to realize a
maximum profit? What is the maximum profit per week?
b) Find the value of \( K \) so that the function \( f(x)=\left\{\begin{array}{ll}K x+1, & \text { if } x \leq 5 \\ 3 x-5, & \text { if } x \leq 5\end{array} \) at \right.
\( x=5 \) is a continuous function. | 2 | Maths |
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