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Which one of the following has the lowest m.p?
\( A \cdot B \)
в. А।
\( c \cdot \) Ga
D. T | 1 | Chemistry |
Rainbow is caused due to:
This question has multiple correct options
A. reflection of sunlight by air molecules
B. dispersion of sunlight from water drops
C. refraction of sunlight from water drops
D. refraction of sun rays by air molecules | 3 | Physics |
Magnetic field lines:
A. starts from north pole
B. starts from south pole
c. starts from current-carrying wires
D. are closed loops | 3 | Physics |
Which of the following metals cannot be used in electrolysis?
A. Sodium
B. Potassium
c. Magnesium
D. zinç | 1 | Chemistry |
If \( h \) is Plancks constant, the
momentum of a photon of wavelength
\( 0.01 A^{\circ} \) is
\( \mathbf{A} \cdot 10^{-2} h \)
B. \( h \)
\( c \cdot 10^{2} \)
D. \( 10^{12} h \) | 3 | Physics |
The pathogen Microsporum responsible for ringworm disease in humans belongs to the same Kingdom of organisms as that of
A. Rhizopus, a mould
B. Ascaris, a round worm
c. Taenia, a tapeworm
D. Wuchereria, a filarial worm | 0 | Biology |
The formula of cryolite is :
A. \( A l_{2} O_{3} .2 H_{2} O \)
в. \( A l O_{2} .2 H_{2} O \)
c. \( N a_{3} A l F_{6} \)
D. \( K A l S i_{3} O_{8} \) | 1 | Chemistry |
Explain the different steps involved during primary treatment phase of
sewage. | 0 | Biology |
A prism of refractive index \( \sqrt{2} \) has a
reflecting angle of \( 60^{\circ} . \) At what angle
must a ray be incident on it so that it suffers minimum deviation?
A \( \cdot i=45^{\circ} \)
B . \( i=60^{\circ} \)
c. \( i=30^{\circ} \)
D . \( i=90^{\circ} \) | 3 | Physics |
A storage battery contains a solution of
\( H_{2} S O_{4} 38 \% \) by weight. What will be the
Van't Hoff factor if the
\( \boldsymbol{\Delta} \boldsymbol{T}_{f \text {experiment}} \) is \( \mathbf{2 9 . 0 8} .\left[\text { Given } \boldsymbol{K}_{f}=\mathbf{1}\right. \)
B . \( i=2.5 \)
c. \( i=3 \)
D. \( i=3.5 \) | 1 | Chemistry |
A block of mass \( 5 k g \) is at rest on a smooth horizontal surface. Water
coming out of a pipe horizontally at the
rate of \( 2 k g s^{-1}, \) hits the block with a
velocity of \( 6 m s^{-1} \). The initial
acceleration of the block is:
A. Zero
B. \( 1.2 \mathrm{ms}^{2} \)
c. \( 2.4 m s^{2} \)
D. \( 0.6 \mathrm{ms}^{2} \) | 3 | Physics |
Find the derivative of \( f(x)=3 x \) at \( x= \)
2 | 2 | Maths |
A rheostat is used in an electrical
circuit
A. to change the resistance of the circuit.
B. to change the potential difference.
c. to change the emf
D. to change the current through a particular instrument | 3 | Physics |
Complete the following statements with an appropriate word / term to be filled in the blank space(s).
Magnetic field lines emerge from the pole of a solenoid or a
permanent magnet
A. north
B. south
c. north-east
D. none of these | 3 | Physics |
Which of the following is false about
fuse?
This question has multiple correct options
A. A fuse controls the current that flows to the appliance.
B. A fuse increases the resistance in the circuit to
minimize the current flow.
C. A fuse allows high current to flow through the circuit without damaging the appliance.
D. A fuse protects the wiring and the appliance in the circuit from overheating | 3 | Physics |
which has the maximum conductivity
in thier \( 0.1 \mathrm{M} \) solution?
\( A \)
A) \( \left[\operatorname{Co}\left(N H_{3}\right)_{3} C l_{3}\right]_{3} \)
B.
B) \( \left[\operatorname{Co}\left(N H_{3}\right)_{4} C l\right] C l_{2} \)
c. \( \mathrm{c} \) ) \( \left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{5} \mathrm{Cl}\right] \mathrm{Cl}_{2} \)
\( D \)
D) \( \left[\operatorname{Co}\left(N H_{3}\right)_{6}\right] C l_{3} \) | 1 | Chemistry |
Find the frequency of light that
corresponds to photons of energy \( 5.0 \times \) \( 10^{-5} \) erg.
\( \mathbf{A} \cdot 7.5 \times 10^{-21} \sec ^{-1} \)
В. \( 7.5 \times 10^{-21} \) sec
c. \( 7.5 \times 10^{21} \) sec \( ^{-1} \)
D. \( 7.5 \times 10^{2} \) sec | 1 | Chemistry |
Construct a \( 2 \times 2 \) matrix \( A=\left[a_{i j}\right] \) | 2 | Maths |
Assertion
Muscles fibres of SA node possess the lowest rhythmicity among all cardiac
muscles.
Reason
Due to this fact, it can initiate excitory waves at the highest rate
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 | 0 | Biology |
Out of the following reduction process-
\( \boldsymbol{A}: \boldsymbol{F} \boldsymbol{e}_{2} \boldsymbol{O}_{3}+\boldsymbol{C} \longrightarrow \boldsymbol{F} \boldsymbol{e}+\boldsymbol{C} \boldsymbol{O}_{2} \)
\( \boldsymbol{B}: \boldsymbol{Z} \boldsymbol{n} \boldsymbol{O}+\boldsymbol{C} \longrightarrow \boldsymbol{Z} \boldsymbol{n}+\boldsymbol{C} \boldsymbol{O}_{2} \)
\( \boldsymbol{C}: \boldsymbol{S} \boldsymbol{n} \boldsymbol{O}_{2}+\boldsymbol{C} \longrightarrow \boldsymbol{S} \boldsymbol{n}+\boldsymbol{C} \boldsymbol{O}_{2} \)
\( \boldsymbol{D}: \boldsymbol{P b O}+\boldsymbol{C} \longrightarrow \boldsymbol{P b}+\boldsymbol{C O}_{2} \)
Correct processes are:
в. \( A, B, D \)
c. \( A, B, C \)
D. \( B, D \) | 1 | Chemistry |
Very short answer type. Give one example each of fibrous joint
and cartilaginous joint. | 0 | Biology |
A man with normal near point \( (25 \mathrm{cm}) \) reads a book with small print using a magnifying glass: a thin convex lens of focal length \( 5 \mathrm{cm} \)
(a) What is the closest and the farthest
distance at which he should keep the lens from the page so that he can read the book when viewing through the magnifying glass?
(b) What is the maximum and the minimum angular magnification (magnifying power) possible using the above simple microscope? | 3 | Physics |
Determine the change in oxidation
number of sulphur in \( H_{2} S \) and \( S O_{2} \) respectively in the following reaction.
\( 2 H_{2} S+S O_{2} \rightarrow 2 H_{2} O+3 S \)
A .0,+2
в. +2,-4
c. -2,+2
\( \mathbf{D} \cdot+4,0 \) | 1 | Chemistry |
A unit vector perpendicular to the lines
\( \frac{\boldsymbol{x}+\mathbf{1}}{\mathbf{3}}=\frac{\boldsymbol{y}+\mathbf{2}}{\mathbf{1}}=\frac{\boldsymbol{z}+\mathbf{1}}{\mathbf{2}} \) and \( \frac{\boldsymbol{x}-\mathbf{2}}{\mathbf{1}}= \)
\( \frac{\boldsymbol{y}+\boldsymbol{2}}{\boldsymbol{2}}=\frac{\boldsymbol{z}-\boldsymbol{3}}{\boldsymbol{3}} \) is
\( ^{\mathbf{A}} \cdot \frac{-\hat{i}+7 \hat{j}+7 \hat{k}}{\sqrt{99}} \)
\( ^{\text {B. }} \frac{-\hat{i}-7 \hat{j}+5 \hat{k}}{5 \sqrt{3}} \)
\( \frac{-\hat{i}+7 \hat{j}+5 \hat{k}}{5 \sqrt{3}} \)
D. \( \frac{7 \hat{i}-7 \hat{j}-\hat{k}}{\sqrt{99}} \) | 2 | Maths |
Which of the following statements is true when \( \Delta A B C \cong \Delta D E F \)
\( \mathbf{A} \cdot \angle A=\angle D \)
B . \( \angle A=\angle E \)
c. \( \angle A=\angle F \)
D. none of these | 2 | Maths |
The species containing a \( \pi \) bond is:
A. \( B e F_{2} \)
в. \( N H_{3} \)
\( \mathrm{c} \cdot \mathrm{CH}_{4} \)
D. \( C H_{2} C H_{2} \)
E \( \cdot C C l_{4} \) | 1 | Chemistry |
Consider a mass \( \mathrm{m} \) attached to a string of length I performing vertical circle.find an expression for velocity at any point and tension at any point. | 3 | Physics |
A violin string emits sound of frequency \( 510 H z . \) How far will the sound waves
reach when string complete 250 vibrations? The velocity of sound is \( 340 m / s \)
A. \( 166.7 \mathrm{m} \)
B . 366.7 m.
c. \( 266.7 \mathrm{m} \)
D. \( 566.7 m \) | 3 | Physics |
The differential equation representing the SHM of a particule is \( \frac{\mathbf{9} d^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{t}^{2}}+\boldsymbol{4} \boldsymbol{Y}= \)
0.The time period of the particle is fiven
by
A \( \frac{\pi}{3} \sec \)
в. \( \pi \) sec
\( ^{\mathrm{c}} \cdot \frac{2 \pi}{3} s e c \)
D. \( 3 \pi s e c \) | 3 | Physics |
Most of the transition metals exhibit:
(i) paramagnetic behaviour
(ii) diamagnetic behaviour
(iii) variable oxidation states
(iv) formation of coloured ions
A. (ii), (iii) and (iv)
B. (i), (iii) and (iv)
c. (i), (ii) and (iii)
D. (i), (ii) and (iv) | 1 | Chemistry |
A current is passed through 500 mLof
an aqueous solution of \( \boldsymbol{C a} \boldsymbol{I}_{2} \). After
sometime, it is observed that 50
millimoles of \( I_{2} \) have been formed.
Which of the following statements is(are) correct?
This question has multiple correct options
A. The number of faradays of charge passed through the solution is \( 0.10 F \)
B. The volume of dry \( H_{2} \) at \( S T P \) that has been formed during electrolysis is \( 1120 \mathrm{mL} \).
c. The \( p H \) of the solution is nearly 0.7
D. The mass of calcium produced is \( 2.0 g \). | 1 | Chemistry |
Which of the following statements is
not correct?
A. The complexes \( \left[N i C l_{4}\right]^{2-} \) and \( \left[N i(C N)_{4}\right]^{2-} \) differ in th
B. The complexes \( \left[N i C l_{4}\right]^{2-} \) and \( \left[N i(C N)_{4}\right]^{2-} \) differ in th
C. The complexes \( \left[N i C l_{4}\right]^{2-} \) and \( \left[N i(C N)_{4}\right]^{2-} \) differ in \( g e \)
D. The complexes \( \left[N i C l_{4}\right]^{2-} \) and \( \left[N i(C N)_{4}\right]^{2-} \) differ in \( p r \) | 1 | Chemistry |
An object has moved through a
distance. Can it have zero
displacement? If yes, support your answer with an example. | 3 | Physics |
The total number of ways of formation of
five letter words from the letters of the
word \( I N D E P E N D E N T, \) is
A . 4200
в. 3320
c. 3840
D. None of these | 2 | Maths |
Chloroform belong to which of the following type of alkyl halide?
A. Primary alkyl halide
B. Secondary alkyl halide
c. Tertiary alkyl halide
D. Tetra alkyl halide | 1 | Chemistry |
A ball is moving over a horizontal smooth surface with a constant
velocity. Sum of external forces is:
A. zero
B. positive
c. negative
D. unity | 3 | Physics |
Define the following terms:
(a) Triploblastic
(b) Coelomate
(c) Notochord
(d) Bilateral
symmetry | 0 | Biology |
The solubility of \( P b S O_{4} \) water is 0.0608
g/L. Calculate the solubility product constant of \( P b S O_{4} . \) Molar mass \( P b S O_{4} \)
\( =304 \mathrm{g} / \mathrm{mole} \) | 1 | Chemistry |
The value of \( \lim _{n \rightarrow \infty} \Sigma_{i=1}^{n-1} \sqrt{4+\frac{5 i}{n}} \) is equal
to?
A \( \cdot 15 / 38 \)
B. \( 38 / 15 \)
c. \( 21 / 15 \)
D . \( 22 / 15 \) | 2 | Maths |
Presence of RBC in urine is known as
A. Hematuria
B. Urolithiasis
c. Nephritis
D. Proteinuria | 0 | Biology |
Assertion
\( (A): \frac{\tan 3 x-\tan 2 x}{1+\tan 3 x \tan 2 x}=1 \Rightarrow x= \)
\( n \pi+\frac{\pi}{4}, n \in l \)
Reason
\( (R): \tan x \) is not defined at \( x=n \pi+ \)
\( \frac{\pi}{2}, n \in l \)
A. Both (A) and (R) are individually true and (R) is the correct explanation of (A)
B. Both (A) and (R) are individually true but (R) is not the correct explanation of \( (A) \)
C. (A) is true but (R) is false
D. (A) is false but (R) is true | 2 | Maths |
The differential equation of all circles passing through the origin and having their centers on the x-axis is:
A \( \cdot y^{2}=x^{2}+2 x y \frac{d y}{d x} \)
B. \( y^{2}=x^{2}-2 x y \frac{d y}{d x} \)
c. \( x^{2}=y^{2}+2 x y \frac{d y}{d x} \)
D. None of these | 2 | Maths |
Why distilled water does not conduct
electricity? | 1 | Chemistry |
Which of the following is/ are correct?
This question has multiple correct options
A. A line segment with its endpoints lying on a circle is called a chord of the circle.
B. A line that intersects a circle at exactly one point is called a tangent to the circle.
C. Angle in a semi-circle is a right angle.
D. Lengths of the two tangents to a circle from an external point are equal | 2 | Maths |
What is tooth enamel chemically? Show the condition when its start corroding.
what happens when food particles left in the mouth after eating degrade. | 1 | Chemistry |
What is called as 'black gold'?
A. Hydrocarbons
в. coal
c. Petroleum
D. Ether | 1 | Chemistry |
\( \tan ^{-1}\left(\frac{x+1}{x-1}\right)+\tan ^{-1}\left(\frac{x+1}{x}\right)= \)
\( \tan ^{-1}(2)+\pi \) | 2 | Maths |
Consider the following statements in respect of histogram:
1. Histogram is an equivalent graphical
representation of the frequency
distribution.
2. Histogram is suitable for continuous random variables, where the total
frequency of an interval is evenly distributed over the interval.
Which of the statements given above is/are correct?
A. 1 only
B. 2 only
c. Both 1 and 2
D. Neither 1 nor 2 | 2 | Maths |
The dimensions of ratio of magnetic
flux \( (\phi) \) and permeability \( (u) \) are:
\( \mathbf{A} \cdot\left[M^{0} L^{1} A^{1} T^{0}\right. \)
B . \( \left[M^{0} L^{-3} T^{0} A^{1}\right] \)
\( \mathbf{c} \cdot\left[M^{0} L^{-1} T^{1} A^{-1}\right] \)
D・ \( \left[M^{0} L^{2} T^{0} A^{1}\right] \) | 3 | Physics |
If \( f(x)=x+\int_{0}^{1}\left[x y^{2}+s^{2} y\right] f(y) d y \)
where \( x \) and \( y \) are independent varibles. Find \( f(x) \)
A \( \quad f(x)=x+\frac{61}{119} x+\frac{80}{119} x^{2} \)
в. \( f(x)=\frac{80 x^{2}+180 x}{119} \)
c. \( f(x)=\frac{80 x+180 x}{119} \)
D. \( f(x)=\frac{80 x^{2}+180 x}{19} \) | 2 | Maths |
Is it possible to have an accelerated motion with a constant speed? Explain | 3 | Physics |
Double helical structure of DNA was
proposed by
A. Kornberg
B. Nirenberg
c. watson and crick
D. Wilkins and Franklin | 0 | Biology |
Assertion
The magnetic field at the ends of a very long current carrying solenoid is half of that at the centre.
Reason
If the solenoid is sufficiently long, the field within it is uniform.
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 |
What is the percentage of free carbon in lignite?
A . 20
B. 40
\( c \cdot 60 \)
D. 80 | 1 | Chemistry |
If \( \boldsymbol{X}=\left\{\mathbf{8}^{n}-\mathbf{7} \boldsymbol{n}-\mathbf{1}, \boldsymbol{n} \in \boldsymbol{N}\right\} \) and \( \boldsymbol{Y}= \)
\( \mathbf{4} 9(n-1), n \in N, \) then \( (\operatorname{given} n>1) \)
A. \( X \subset Y \)
в. \( Y \subset X \)
c. \( X=Y \)
D. \( X \nsubseteq Y \) | 2 | Maths |
The following are some statements about oxides of VA group elements,
i) \( N O \) readily reacts with \( O_{2} \) to form
reddish-brown gas.
ii) The formula of Brown ring is
\( \left[\boldsymbol{F e}\left(\boldsymbol{H}_{2} \boldsymbol{O}\right)_{5} \boldsymbol{N} \boldsymbol{O}\right] \boldsymbol{S} \boldsymbol{O}_{4} \)
iii) \( N_{2} O_{3} \) is called laughing gas.
The correct combination is:
A. All are correct.
B. I \& III are correct
c. I \& ॥ are correct
D. II \& III are correct | 1 | Chemistry |
If \( \boldsymbol{A}=\left[\begin{array}{cc}\cos \boldsymbol{\theta} & -\sin \boldsymbol{\theta} \\ \sin \boldsymbol{\theta} & \cos \boldsymbol{\theta}\end{array}\right], \) then \( \boldsymbol{A}^{\boldsymbol{T}}+ \)
\( \boldsymbol{A}=\boldsymbol{I}_{2}, \) if
B \( \cdot \theta=(2 n+1) \frac{\pi}{2}, n \in Z \)
c. \( \theta=2 n \pi+\frac{\pi}{3}, n \in Z \)
D. none of these | 2 | Maths |
Boiling water and steam both have the
same temperature \( \left(\mathbf{1 0 0}^{0} \boldsymbol{C}\right), \) but steam causes many severe burns than boiling water. Explain | 3 | Physics |
Write Einstein's photo electric equation. | 3 | Physics |
A drop of liquid of density \( \rho \) is floating
half-immersed in a liquid of density \( d \). If
\( \rho \) is the surface tension the diameter of
the drop of the liquid is
A \( \cdot \sqrt{\frac{\sigma}{g(2 \rho-d)}} \)
в. \( \sqrt{\frac{3 \sigma}{g(2 \rho-d)}} \)
c. \( \sqrt{\frac{6 \sigma}{g(2 \rho-d)}} \)
D. \( \sqrt{\frac{12 \sigma}{g(2 \rho-d)}} \) | 3 | Physics |
What is the action of conc. nitric acid
on
a) Zinc metal
b) P4 - molecule
c) \( \mathbf{S} 8- \) molecule? | 1 | Chemistry |
A hydrocarbon with formula \( \mathrm{C}_{8} \mathrm{H}_{18} \) gives
one mono chloro derivative. The
hydrocarbon can be :
A. n- Octane
B. 2-Methyl hepatane
c. 2,2,4 -Trimethyl butane
D. 2,2,3,3,- - Tetramethyl butane | 1 | Chemistry |
Answer the following questions in about 30 words.
What is biodiversity? Why is biodiversity important for human lives? | 0 | Biology |
Find the equation of the tangent to the curve \( y=\frac{x-y}{(x-2)(x-3)} \) at the point
where it cuts the \( x \) -axis. | 2 | Maths |
In a battery five dry cells each of 1.5 volt
have internal resistance of
0.2,0.3,0.4,0.5 and \( 0.6 \Omega \) are present in
series. The battery is connected to a \( 1 \Omega \) resistance. Identify the correct statement \( (s) \)
A. Current in the circuit will be \( 2.5 A \)
B. Current in the circuit will be \( 1.5 A \)
c. on short circuiting the battery 3.75 d current will flow
D. Both \( (A) \) and \( (C) \) | 3 | Physics |
A capacitor of capacitance \( 9 n F \) having
dielectric slab of \( \varepsilon_{r}=2.4 \) dielectric
strength \( 20 \mathrm{MV} / \mathrm{m} \) and \( \boldsymbol{P . D .}=20 \mathrm{V} \)
Calculate area of plates.
В . \( 4.2 \times 10^{-4} \mathrm{m}^{2} \)
c. \( 1.4 \times 10^{-4} m^{2} \)
D. 2.4 \( \times 10^{-4} m^{2} \) | 3 | Physics |
ff \( y=\log _{\sin x}(\tan x), \) then \( \left(\frac{d y}{d x}\right)_{\pi / 4} \) is
equal to
A \( \cdot \frac{4}{\log 2} \)
B. \( -4 \log 2 \)
c. \( \frac{-4}{\log 2} \)
D. None of these | 2 | Maths |
Identify and write the like terms in each
of the following groups.
(i) \( a^{2}, b^{2},-2 a^{2}, c^{2}, 4 a \)
A \( \cdot\left(a^{6}, 2 a^{2}\right)^{2} \)
В \( \cdot\left(a^{2},-2 a^{2}\right) \)
\( \mathbf{C} \cdot\left(a^{3}, 2 a^{2}\right) \)
D. \( \left(a^{2}, 2 a^{3}\right) \) | 2 | Maths |
Four solutions \( A, B, C \) and \( D \) when
tested with universal indicator showed
\( \boldsymbol{p} \boldsymbol{H} \) as \( \mathbf{4}, \mathbf{1 1}, \mathbf{7} \) and \( \mathbf{9} \) respectively. Which
solution is weakly alkaline?
A . \( A \)
в. \( B \)
\( c . c \)
D. \( D \) | 1 | Chemistry |
The time taken from the fixation of \( C O_{2} \)
to the formation of one glucose molecule is about
seconds.
A . 20
B. 40
c. 60
D. 90 | 0 | Biology |
Enzymes that catalyse inter-conversion of optical, geometrical or positional isomers are
A . Ligases
B. Lyases
c. Hydrolases
D. Isomerases | 0 | Biology |
The total number of subsets of \{1,2,6,7\}
are?
A . 16
B. 8
c. 64
D. 32 | 2 | Maths |
The power of a lens being +4 dioptres suggests that it is a
A. Convex lens
B. Plano-concave lens
c. concave lens
D. convexo-concave lens | 3 | Physics |
A bomb blasts on moon. Its sound will
be heard on earth after
A. 3.7 minutes
B. 10 minutes
c. 138 minutes
D. sound will never be heard | 3 | Physics |
For a plane convex lens \( (\mu=1.5) \) having radius of curvature \( 10 \mathrm{cm} . \) It is silvered on its plane surface. Find focal length after silvering:
\( A \cdot 10 \mathrm{cm} \)
B. 20 cm
c. \( 15 \mathrm{cm} \)
D. 25 cm | 3 | Physics |
The distance between two atoms in a
molecule is measured in order of
Angstrom
A. True
B. False | 3 | Physics |
Identify \( M \) and \( N \) in the following
reaction.
Copper glance controlledheating in presence
\( \boldsymbol{M}+\boldsymbol{S O}_{2} \uparrow \)
\( \boldsymbol{M} \stackrel{N}{\longrightarrow} \boldsymbol{C} \boldsymbol{u}+\boldsymbol{S} \boldsymbol{O}_{2} \uparrow \)
\( \boldsymbol{M} \stackrel{N}{\longrightarrow} \boldsymbol{C} \boldsymbol{u}+\boldsymbol{S} \boldsymbol{O}_{2} \uparrow \)
A . \( M=C u_{2} O ; N= \) self reduction
B. \( M=C u_{2} O+C u_{2} S ; N= \) self reduction
c. \( M=C u_{2} O ; N= \) carbon reduction
D. \( M=C u_{2} O ; N= \) electrolytic reduction | 1 | Chemistry |
\( (X),(Y),(Z) \) are elements in the third period. Oxide of \( (X) \) is ionic, that of \( (Y) \) is amphoteric, and of \( (Z) \) a giant molecule.
\( (X),(Y) \) and \( (Z) \) will have atomic
numbers in the order:
\( A \cdot(x)<(y)<(z) \)
\( B \cdot(z)<(Y)<(X) \)
\( c \cdot(x)<(z)<(y) \)
\( D \cdot(Y)<(X)<(Z) \) | 1 | Chemistry |
Pure and dry chlorine gas is collected by the upward displacement of air.
A. True
B. False | 1 | Chemistry |
Discuss Haber's process for industrial
manufacture of ammonia. | 1 | Chemistry |
f \( \sin ^{-1}\left(\frac{x}{13}\right)+\operatorname{cosec}^{-1}\left(\frac{13}{12}\right)=\frac{\pi}{2} \)
then the value if \( x \) is
A . 5
B. 4
c. 12
D. 11 | 2 | Maths |
Leydig cells are meant for
A. Formation of sperm
B. Production of progesterone
C. Production of testosterone
D. Nutrition of sperm | 0 | Biology |
Find the equation of plane with intercepts 2,3 and 4 on the \( x, y \) and \( z \) axis respectively. | 2 | Maths |
Secondary cortex is also known as
A. Phellem
B. Phelloderm
c. Phellogen
D. Bark | 0 | Biology |
\( \mathrm{U}=\{1,2,3,4,5,6,7,8,9,10\} \)
\( \mathrm{A}=\{2,4,6,8,10\}, B=\{1,3,5,7,8,10\} \)
Find \( (A \cup B) \) | 2 | Maths |
If \( K \) denotes coefficient of thermal
conductivity, \( d \) the density and \( C \) the
specific heat, the unit of \( \boldsymbol{X}, \) where \( \boldsymbol{X}= \) \( \boldsymbol{K} / \boldsymbol{d} \boldsymbol{c}, \) will be
A . \( \mathrm{cm} \) sec
B. \( c m^{2} \sec ^{-2} \)
\( \mathrm{c} \cdot_{\mathrm{cm}} \sec ^{2} \)
\( \mathbf{D} \cdot c m^{2} \sec ^{-1} \) | 3 | Physics |
Deplaction of the water table is due to which of the following resion?
A. insufficient rain fall
B. industrial activities
c. excess of tube wells
D. all of them | 1 | Chemistry |
Read the statements and mark the
correct one(s)
i. Braille cells are read from left to right. ii Each Braille character is made up of
six dots.
iii Braille can only be produced manually.
A. i and i i
B. ii and iii
c. i and iii
D. All are true | 3 | Physics |
An Indian rubber cord \( L \) metre long and
area of cross-section \( A \) meter \( ^{2} \) is
suspended vertically. Density of rubber is \( \rho k g / \) meter \( ^{3} \) and Young's modulus of
rubber is \( Y \) Newton/metre \( ^{2} \). If the cord
extends by \( l \) metre under its own
weight, then extension \( l \) is:
\( \mathbf{A} \cdot \frac{L^{2} \rho g}{Y} \)
B. \( \frac{L^{2} \rho g}{2 Y} \)
\( ^{\mathbf{C}} \cdot \frac{L^{2} \rho g}{4 Y} \)
D. \( \frac{Y}{L^{2} \rho g} \) | 3 | Physics |
The relation between time \( t \) and
distance of \( x \) s is \( t=a x^{2}+b x \) where \( a \)
and \( b \) are constant. The acceleration is
A. \( -2 a b v^{2} \)
B . \( 2 b v^{3} \)
c. \( -2 a v^{3} \)
D. \( 2 a v^{2} \) | 3 | Physics |
Term used to describe non-dominant
species that dictates community structure is
A. Pioneer species
B. Keystone species
c. Transitional species
D. Exohenous species | 0 | Biology |
In rabbit, the opening of coronary sinus into the left precaval vein is bound by a fold called
A. Valve of Thebesius
B. Mitral valve
c. Tricuspid valve
D. Valve of eustachian | 0 | Biology |
A proton of charge \( e \) and mass \( m_{p} \)
moves in a circular path of radius \( r \) in a
uniform magnetic field \( \boldsymbol{B} \)
The momentum of the proton can be
described by the expression:
\( \mathbf{A} \cdot e B r \)
B. \( 2 e B r \)
\( c \cdot e B r^{2} \)
D. \( e B r m_{p} \)
E \( \cdot 2 e B r m_{p} \) | 3 | Physics |
If the balanced reaction is as given below, find the value of \( x, y \) and \( z \)
\( \boldsymbol{T} \boldsymbol{i}_{2} \boldsymbol{O}_{3}(\boldsymbol{s})+\boldsymbol{x} \boldsymbol{N} \boldsymbol{H}_{2} \boldsymbol{O} \boldsymbol{H}(\boldsymbol{a} \boldsymbol{q}) \rightarrow \)
\( 2 T i O H(s)+y N_{2}(g)+z H_{2} O \)
A. \( x=4, y=2, z=5 \)
в. \( x=3, y=2, z=5 \)
c. \( x=4, y=2, z=4 \)
D. None of the above | 1 | Chemistry |
What are the values of \( x \) that satisfy the
equation \( \left|\begin{array}{ccc}\boldsymbol{x} & \mathbf{0} & \mathbf{2} \\ \mathbf{2} \boldsymbol{x} & \mathbf{2} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}\end{array}\right|+\left|\begin{array}{ccc}\mathbf{3} \boldsymbol{x} & \mathbf{0} & \mathbf{2} \\ \boldsymbol{x}^{\mathbf{2}} & \boldsymbol{2} & \mathbf{1} \\ \mathbf{0} & \boldsymbol{1} & \mathbf{1}\end{array}\right|=\mathbf{0} ? \)
B. \( -1 \pm \sqrt{3} \)
c. \( -1 \pm \sqrt{6} \)
\( \mathbf{D} \cdot-2 \pm \sqrt{6} \) | 2 | Maths |
In rabbit, oxygenated blood flows from
A. Left auricle to left ventricle during auricular systole
B. Right auricle to right ventricle during ventricular systole
C. Right ventricle to aorta during ventricular systole
D. Pulmonary vein to left auricle during auricular systole | 0 | Biology |
In case of unimolecular reaction, the
time required for \( 99.9 \% \) of the reaction
to take place is \( x \) times that required for half of the reaction. The value of \( x \)
is | 1 | Chemistry |
Arrange the eccentricities of the following ellipses in particular order.
A- Ellipse whose Latus rectum is half of its major axis.
B- Ellipse whose distance between the foci is equal to the distance between a focus and one end of minor axis
C- Ellipse whose major axis is double the minor axis.
D- Ellipse whose distance between the foci is 6 and the length of minor axis is
8
\( A \)
\[
(A)=(C)>(D)>(B)
\]
B. \( (A)=(C)<(D)<(B) \)
\( c \)
\[
(A)>(C)>(D)>(B)
\]
D. none of these | 2 | Maths |
Find \( \int \sqrt{\boldsymbol{x}}\left(\boldsymbol{3} \boldsymbol{x}^{2}+\boldsymbol{2} \boldsymbol{x}+\boldsymbol{3}\right) \boldsymbol{d} \boldsymbol{x} \) | 2 | Maths |
Find the 9 th term and the general term
of the progression: \( \frac{1}{4},-\frac{1}{2}, 1,-2, \dots \dots \) | 2 | Maths |
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