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What is the smallest natural number
that should be multiplied with 840 to
make it a perfect square?
| 2 |
Maths
|
If \( \alpha \) and \( \beta \) are different complex
numbers with
\( |\beta|=1 \) then \( \left|\frac{\beta-\alpha}{1-\bar{\alpha} \beta}\right| \) is equal to
A .
B. \( \frac{1}{2} \)
\( c \cdot 1 \)
D.
| 2 |
Maths
|
For the reaction \( \boldsymbol{A}+\mathbf{2} \boldsymbol{B} \rightleftharpoons \mathbf{2} \boldsymbol{C} \) at
equilibrium \( [\boldsymbol{C}]=\mathbf{1 . 4} \boldsymbol{M} \cdot[\boldsymbol{A}]_{o}= \)
\( \mathbf{1} \boldsymbol{M},[\boldsymbol{B}]_{o}=\mathbf{2} \boldsymbol{M},[\boldsymbol{C}]_{o}=\mathbf{3} M . \) The value
of \( K_{c} \) is:
(Given: volume =1 litre, [ ] \( _{o} \) is initial concentration)
A .0 .084
B. 8.4
\( c \cdot 48 \)
D. None of these.
| 1 |
Chemistry
|
If \( \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{1} & \mathbf{0} \\ -\mathbf{1} & \mathbf{7}\end{array}\right] \) and \( \boldsymbol{A}^{2}=\mathbf{8} \boldsymbol{A}+\boldsymbol{K} \boldsymbol{I}_{2} \)
then \( K \) is equal to
A . -1
B.
\( c .-7 \)
D. 7
| 2 |
Maths
|
Distinguish between Primary, Secondary and Teritary amines.
| 1 |
Chemistry
|
A spherical uniform planet is rotating about its axis. The velocity of a point on its equator is \( V \). Due to the rotation of
planet about its axis the acceleration due to gravity \( g \) at equator is \( \frac{1}{2} \) of \( g \) at
poles. The escape velocity of a particle on the pole of planet in terms of \( V \)
A. \( V_{e}=2 V \)
B . \( V_{e}=V \)
\( \mathbf{c} \cdot V_{e}=V / 2 \)
D. \( V_{e}=\sqrt{2} V \)
| 3 |
Physics
|
How many non-negative integral values of \( x \) satisfy the equation \( \left[\frac{x}{5}\right]=\left[\frac{x}{7}\right] ? \)
(Here \( [x] \) denotes the greatest integer
less than or equal to \( x \). For example \( [3.4]=3 \) and \( [-2.3=-3) \)
| 2 |
Maths
|
\( f A=\left[\begin{array}{lll}1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1\end{array}\right], \) prove that
\( \boldsymbol{A}^{n}=\left[\begin{array}{ccc}\mathbf{3}^{n-1} & \mathbf{3}^{n-1} & \mathbf{3}^{n-1} \\ \mathbf{3}^{n-1} & \mathbf{3}^{n-1} & \mathbf{3}^{n-1} \\ \mathbf{3}^{n-\mathbf{1}} & \mathbf{3}^{n-\mathbf{1}} & \mathbf{3}^{n-1}\end{array}\right], \boldsymbol{n} \in N \)
| 2 |
Maths
|
Be, \( M g, C a, S r, B a \) are group 2 metals. Which of these will form ions
most readily?
A. \( B e \)
в. \( M g \)
\( c \cdot S r \)
D. \( B a \)
| 1 |
Chemistry
|
Explain the process of formation of complex protein?
| 0 |
Biology
|
Show that \( \left|\begin{array}{ccc}\boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a} & \boldsymbol{a}+\boldsymbol{b} \\ \boldsymbol{a}+\boldsymbol{b} & \boldsymbol{b}+\boldsymbol{c} & \boldsymbol{c}+\boldsymbol{a} \\ \boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c}\end{array}\right|= \)
\( \boldsymbol{a}^{3}+\boldsymbol{b}^{3}+\boldsymbol{c}^{3}-\boldsymbol{3} \boldsymbol{a} \boldsymbol{b} \boldsymbol{c} \)
| 2 |
Maths
|
Find the smallest number by which 128
must be divided, so that the quotient is a perfect cube
A .2
B. 3
\( c \cdot 7 \)
D. 12
| 2 |
Maths
|
One half mole each of nitrogen, oxygen and carbon dioxide are mixed in
enclosure of volume 5 litres and
temperature \( 27^{\circ} \mathrm{C} . \) The pressure exerted by mixture is \( \left(\boldsymbol{R}=\mathbf{8 . 3 1} \boldsymbol{J} \boldsymbol{m o l}^{-1} \boldsymbol{K}^{-1}\right) \)
A \( \cdot 7.48 \times 10^{5} \mathrm{N} \mathrm{m}^{-2} \)
B. \( 4 \times 10^{5} \mathrm{N} \mathrm{m}^{-2} \)
\( \mathbf{c} \cdot 6 \times 10^{5} \mathrm{N} m^{-2} \)
D. \( 3 \times 10^{5} \mathrm{N} m^{-2} \)
| 3 |
Physics
|
Write any three properties of magnetic
lines of force.
| 3 |
Physics
|
toppr
Q Type your question
at the eye by the virtual image produced by a magnifying glass. In what sense then does a magnifying glass provide angular magnification?
(b) In viewing through a magnifying glass, one usually positions ones eyes very close to the lens. Does angular
magnification change if the eye is
moved back?
(c) Magnifying power of a simple microscope is inversely proportional to the focal length of the lens. What then stops us from using a convex lens of
smaller and smaller focal length and achieving greater and greater magnifying power?
(d) Why must both the objective and the eyepiece of a compound microscope have short focal lengths?
(e) When viewing through a compound microscope, our eyes should be positioned not on the eyepiece but a short distance away from it for best viewing. Why? How much should be that short distance between the eye and eyepiece?
| 3 |
Physics
|
A point charge 'q' is placed outside solid copper sphere at a distance 'r'from its centre. Consider point 'p' inside the solid sphere at a distance 'x' from the point charge. Then
A. Charge density is uniform on the surface of the sphere
B. Electric field due to induced charge at point 'p' is \( \frac{k q}{x^{2}} \)
c. Electric potential due to induced charge at point 'p' is \( \frac{k q}{r} \frac{k q}{x} \)
D. There is a net force in the sphere towards the point charge 'q'
| 3 |
Physics
|
The term \( p H \) comes from:
A. hydrogen purity
B. pure Hydrogen
c. hydrogen power
D. purity of Hydrogen
| 1 |
Chemistry
|
Leathery egg are found in
A. Amphibia
B. Reptiles
c. Birds
D. Mammals
| 0 |
Biology
|
the given statements is true or false.
(P) \( C \) recycled more newspapers than \( D \)
(Q) \( \mathrm{B} \) recycled 80 bunches of newspaper
more than \( \mathbf{A} \)
(R) In all 5 hundred bunches of
newspaper were recycled.
(S) The ascending order of the
newspaper recycled by schools is \( \mathrm{D}, \mathrm{C} \)
\( A, B, E \)
\( \begin{array}{llll}\text { (P) } & \text { (Q) } & \text { (R) } & \text { (S) }\end{array} \)
A. True True False False
B. True True False True
c. False True False True
D. False False True True
| 2 |
Maths
|
The four figures \( (A, B, C \text { and } D) \) given
below represent four different types of animals tissues. Which one of these is
correctly identified in the given options along with its correct location and function?
A. Tissue-
B- Glandular epithelium; Location- Intestine; Function- Secretion
B. Tissue C- Collagen fibres; Location- Cartilage; Function- Attach bone to bone
c. Tissue D- Smooth muscle tissue; Location- Heart:
Function- Heart contraction
D. Tissue A- Columnar epithelium; Location- Nephron; Function- Secretion and absorption
| 0 |
Biology
|
If cost price of 8 pens \( = \) Selling price of 6 pens. Find percentage profit
| 2 |
Maths
|
If the coefficient of three consecutive
terms in the expansion of \( (1+x)^{n} \) be
\( 165,330, \) and \( 462 . \) Find \( n \)
| 2 |
Maths
|
In which of the following period a maximum number of 32 elements are
present? This question has multiple correct options
\( \mathbf{A} \cdot 4^{t h} \)
B. \( 6^{\text {th }} \)
\( c \cdot 3^{r d} \)
D. \( 7^{t h} \)
| 1 |
Chemistry
|
Which of the following is not a polyhalogen compound?
A. Chloroform
B. Freon
c. Carbon tetrachloride
D. Chloro benzene
| 1 |
Chemistry
|
If \( \boldsymbol{A}=\left[\begin{array}{cc}\boldsymbol{4} & \boldsymbol{3} \\ \boldsymbol{1} & \boldsymbol{2}\end{array}\right] \boldsymbol{B}=\left[\begin{array}{ll}\boldsymbol{2} & \boldsymbol{1} \\ \boldsymbol{1} & \boldsymbol{2}\end{array}\right] \)
Verify \( (\boldsymbol{A} \boldsymbol{B})^{\prime}=\boldsymbol{B}^{\prime} \boldsymbol{A}^{\prime} \)
| 2 |
Maths
|
Four particles of equal masses are
placed on the vertices of a square and
are rotated with a uniform angular
velocity about one of the edges \( (A) \) as
shown in the figure. Which particle will
have a larger angular momentum
\( A \cdot A \)
B. B
\( c . c \)
| 3 |
Physics
|
Find the radius of the circle passing the points (0,0),(1,0) and (0,1)
| 2 |
Maths
|
Fill in the blank.
The length of the vocal chords in men and women is approximately and \( _{--}-_{-} \) respectively
A. \( 15 \mathrm{mm}, 20 \mathrm{mm} \)
B. 20 \( \mathrm{mm}, 30 \mathrm{mm} \)
c. \( 20 \mathrm{mm}, 15 \mathrm{mm} \)
D. 25 mm, 15 mm
| 3 |
Physics
|
When the negative feedback is applied to an amplifier of gain \( 50, \) the gain after feedback falls to \( 25 . \) Calculate the
feedback ratio.
| 3 |
Physics
|
If uncertainity in position and momentum are equal, then uncertainity in velocity is:
A \( \cdot \sqrt{\frac{h}{\pi}} \)
в. \( \frac{1}{2} \sqrt{\frac{h}{\pi}} \)
\( ^{\mathrm{c}} \cdot \frac{1}{2 m} \sqrt{\frac{h}{\pi}} \)
D. \( 2 m \frac{1}{2} \sqrt{\frac{h}{\pi}} \)
| 1 |
Chemistry
|
\( 6 \mathrm{ml} \) of a standard soap solution \( (1 \mathrm{ml} \)
\( =0.001 \mathrm{g} \) ) of \( \mathrm{CaCO}_{3} \) were required in
titrating \( 50 \mathrm{ml} \) of water to produce a good lather. Its degree of hardness is:
A. 120 ppm
В. 100 ppm
c. 50 ppm
D. 60 ppm
| 1 |
Chemistry
|
A system consists of two parallel planes carrying currents producing a uniform magnetic field of induction \( \boldsymbol{B} \)
between the planes. Outside this space
there is no magnetic field. If the magnetic force acting per unit area of each plane is \( F_{1}=\frac{B^{2}}{x \mu_{0}} . \) Find \( x \)
| 3 |
Physics
|
\( \mathbf{f} \boldsymbol{y}=\left(\sin ^{-1} x\right)^{2}, \) then prove that
\( \left(1-x^{2}\right) \frac{d^{2} y}{d x^{2}}-x \frac{d y}{d x}-2=0 \)
| 2 |
Maths
|
A cistern 6 m long and 4 m wide
contains water up to the depth of 1 \( m 25 \) cm. The total area of the wet
surface is :
\( \mathbf{A} \cdot 49 m^{2} \)
B. \( 50 m^{2} \)
\( \mathrm{c} \cdot 53.5 \mathrm{m}^{2} \)
D. \( 55 m^{2} \)
| 2 |
Maths
|
The distance between the lines \( 3 x+ \)
\( \mathbf{4} \boldsymbol{y}=\mathbf{9} \) and \( \mathbf{6} \boldsymbol{x}+\mathbf{8} \boldsymbol{y}-\mathbf{1 5}=\mathbf{0} \) is
\( A \cdot \frac{3}{10} \)
в. \( \frac{33}{10} \)
\( c \cdot \frac{33}{5} \)
D. none of these
| 2 |
Maths
|
Which of the following drives
spontaneous reactions?
A. Low enthalpy values and high entropy values.
B. Low enthalpy values and low entropy values.
C. High enthalpy values and low entropy values.
D. High enthalpy values and high entropy values
E. High temperatures and low pressures.
| 1 |
Chemistry
|
Photons of an electromagneitc
radiation has an energy \( 11 k e V \) each. To which region of electromagnetic spectrum does it belong?
A. \( X- \)ray region
в. Ultra violet region
c. infrared region
D. visible region
| 3 |
Physics
|
Which of the following is an example for heterogeneous catalysis reaction?
\( \mathbf{A} \cdot 2 S O_{2}(g)+O_{2}(g) \quad N O(g) \quad 2 S O_{3}(g) \)
B. Hydrolysis of aqueous sucrose solution in the presence of a aqueous mineral acid
\( \mathbf{c} \cdot 2 H_{2} O_{2}(l) \quad P t(s) \quad 2 H_{2} O(l)+O_{2}(g) \)
D. Hydrolysis of liquid in the presence of aqueous mineral acid
| 1 |
Chemistry
|
Describe the different types of vascular bundles.
| 0 |
Biology
|
The typical floral formula of Gramineae
is
\( A \)
\( \mathrm{Br} \% \mathrm{GP}_{2} \mathrm{A}_{3} \mathrm{G}_{1} \)
в. \( \mathrm{Br} \oplus \widehat{\mathrm{G}} \mathrm{P}_{2} \mathrm{A}_{3} \mathrm{G}(2) \)
\( \mathrm{c} \cdot \mathrm{Br} \oplus \mathrm{GP}_{2} \mathrm{A}_{2} \mathrm{G}(3) \)
D. \( \mathrm{Br} \oplus \oint \mathrm{P}_{2} \mathrm{A}_{3} \mathrm{G}_{3} \)
| 0 |
Biology
|
For the process \( \boldsymbol{H}_{2} \boldsymbol{O}(l) \rightarrow \)
\( \boldsymbol{H}_{2} \boldsymbol{O}(\mathbf{1} \boldsymbol{b} \boldsymbol{a} \boldsymbol{r}, \boldsymbol{3} \boldsymbol{7} \boldsymbol{3} \boldsymbol{K}), \) the correct set of
thermodynamic parameters is:
A. \( \triangle G=0, \Delta S=+v e \)
B. \( \triangle G=0, \Delta S=-v e \)
c. \( \Delta G=+v e, \Delta S=0 \)
D. \( \triangle G=-v e, \Delta S=+v e \)
| 1 |
Chemistry
|
In the Rosenmund reduction, the
catalyst used is :
\( \mathbf{A} \cdot P d / B a S O_{4} \)
B. Raney \( N i \)
\( \mathbf{c} \cdot S n / H C l \)
D. \( Z n / H C l \)
| 1 |
Chemistry
|
Heat of combustion is always:
A. positive
B. negative
C. zero
D. may be positive or negative
| 1 |
Chemistry
|
The equilibrium constant of a reaction
at \( 298 K \) and \( 1000 K \) is \( 5 \times 10^{-3} \) and
\( 2 \times 10^{-3} \) respectively. The \( \Delta H \) for the
reaction is:
A. positive
B. negative
c. either positive or negative
D. zero
| 1 |
Chemistry
|
Two moles of oxygen is mixed with eight moles of helium. The effective specific heat of the mixture at constant volume
is:
A . 1.3 R
B. 1.4R
c. \( 1.7 \mathrm{R} \)
D. 1.9R
| 3 |
Physics
|
In Uniform circular motion direction of
velocity is along the drawn
to the position of particle on the circumference of the circle.
A. normal
B. tangent
c. can be both
D. none of these
| 3 |
Physics
|
Fill in the blank:
In a geostationary orbit, a satellite is at
a distance of from the
Earth
\( \mathbf{A} \cdot 53,880 \mathrm{km} \)
B . \( 25,880 \mathrm{km} \)
c. \( 36,000 k m \)
D. \( 1,12,000 \mathrm{km} \)
| 3 |
Physics
|
Long answer type questions. Why were micronutrients discovered
later than macronutrients? With one
example each, mention the physiological role and deficiency disease caused by
(i) nitrogen, (ii)
phosphorus, (iii) copper, and (iv) iron.
| 0 |
Biology
|
\( 2 C H_{3} C O C H_{3}+6 C a O C l_{2} \rightarrow \)
\( \boldsymbol{C a}\left(\boldsymbol{C H}_{3} \boldsymbol{C O O}_{2}\right)_{2}+\boldsymbol{2 C H} \boldsymbol{C l}_{3}+ \)
\( \mathbf{3} C a C l_{2}+2 C a(O H)_{2} \)
If the yield of chloroform obtainable from acetone and bleaching powder is
\( 58 \% \). The weight of acetone required for
producing \( 47.8 \mathrm{g} \) of chloroform is :
A . 40
в. 20
\( c \cdot 4 \)
D. 10
| 1 |
Chemistry
|
If the resistance in a parallel resonant circuit is reduced, the bandwidth:
A. increases
B. decreases
c. disappears
D. become sharper
| 3 |
Physics
|
The maximum shear stress induced in
a member which is subjected to an axial load is equal to
A. maximum normal stress
B. half of maximum normal stress
c. twice the maximum normal stress
D. thrice the maximum normal stress
| 3 |
Physics
|
\( \underbrace{\frac{-}{L}}_{L} \)
| 3 |
Physics
|
A block of mass \( 2 \mathrm{kg} \) is resting over another block of mass 6 kg. 2 kg is connected to one end of a string fixed to a vertical wall as shown. If the
coefficient of friction between the
blocks is \( 0.4, \) the force required to pull out the \( 6 \mathrm{kg} \) block with an acceleration
of \( 1.5 \mathrm{m} / \mathrm{s}^{2} \) will be \( \left(\mathrm{g}=10 \mathrm{ms}^{-2}\right) \)
A . 17
B. 9 N
\( c \cdot 8 n \)
D. 1 N
| 3 |
Physics
|
In the above reaction sequence, the
correct structures of \( \mathrm{E}, \mathrm{F} \) and \( \mathrm{G} \) are :
\( A \)
\( B \)
\( c \)
\( D \)
| 1 |
Chemistry
|
What is \( \lim _{h \rightarrow 0} \frac{\sqrt{2 x+3 h}-\sqrt{2 x}}{2 h} \) equal to?
\( ^{\mathbf{A}} \cdot \frac{1}{2 \sqrt{2 x}} \)
в. \( \frac{3}{\sqrt{2 x}} \)
c. \( \frac{3}{2 \sqrt{2 x}} \)
D. \( \frac{3}{4 \sqrt{2 x}} \)
| 2 |
Maths
|
The energy emitted by the electrons when 18 of hydrogen atom undergo transition, giving the spectral lines of
lowest energy in the visible region of
atomic spectra is \( n \times 10^{-19} J . \) The value
of \( n \) (nearest integer) is :
| 1 |
Chemistry
|
What needs to exist in order for a
dipole-dipole force to happen?
A. The molecules need to be very close to each other.
B. The molecules need to be very far apart from each other
C. The molecules need to include hydrogen.
D. The molecules need to include carbon.
E. Dipole-dipole forces can happen in any molecule in any situation.
| 1 |
Chemistry
|
If \( R=r \) adius of the earth and \( g= \) acceleration due to gravity on the
surface of the earth, the acceleration
due to gravity at a distance (r>R) from the centre of the earth is proportional to
\( A \)
в. \( r^{2} \)
\( c \cdot r^{-2} \)
D. \( r^{-1} \)
| 3 |
Physics
|
Diastema is
A. A part of pelvic girdle in rabbit.
B. A type of tooth in rabbit.
C. Space in teeth lines in some mammals.
D. Structure in eye of rabbit.
| 0 |
Biology
|
A pulse of a wave travelling on a string towards the fixed rigid end as shown in the figure above. The pulse is:
A. Reflected and transmitted
B. Reflected and refracted
c. Reflected and reduced
D. Reflected and magnified
E. Reflected and inverted
| 3 |
Physics
|
Solve: \( \int \frac{d x}{\left(2 x^{2}+3\right)\left(x^{2}-4\right)} \)
| 2 |
Maths
|
Write chemical equations for the following conversions:
(i) Nitrobenzene to benzoic acid.
(ii) Benzyl chloride to 2 phenylethanamine.
(iii) Aniline to benzyl alcohol.
| 1 |
Chemistry
|
A car starts from rest and has an
acceleration \( a=1 \mathrm{m} / \mathrm{s}^{2} . \) A truck is
moving with a uniform velocity of \( 6 \mathrm{m} / \mathrm{s} \) At what distance will the car overtake
the truck? direction \( (\text { at } t=0 \) both start
their motion in the same direction from the same position)
A. 36
B. 8 m
c. 32 \( \mathrm{m} \)
D. \( 4 \mathrm{m} \)
| 3 |
Physics
|
Compute \( \boldsymbol{P}(\boldsymbol{A} \mid \boldsymbol{B}), \) if \( \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 5} \) and
\( \boldsymbol{P}(\boldsymbol{A} \cap \boldsymbol{B})=\mathbf{0 . 3 2} \)
| 2 |
Maths
|
Match the species in in \( C \) olumn \( I \) with
their corresponding properties in Column II
| 1 |
Chemistry
|
Ethyl alcohol on oxidation with acidified
\( K_{2} C r_{2} O_{7} \) gives ethanal
A. True
B. False
| 1 |
Chemistry
|
A simple harmonic motion has an amplitude \( A \) and time period T. Find the time required by it to travel directly from \( \boldsymbol{x}=\frac{\boldsymbol{A}}{\sqrt{\mathbf{2}}} \) to \( \boldsymbol{x}=\boldsymbol{A} \)
| 3 |
Physics
|
Producer gas is formed by passing over hot biomass.
A. Steam
B. Air
c. Hydrogen
D. Both A and B
| 0 |
Biology
|
Coal tar has an smell.
A . unpleasant
B. pleasant
\( c . \) Both (a) \& (b)
D. None of these
| 1 |
Chemistry
|
A solution of \( K M n O_{4} \) containing 3 g/L
is titrated with a solution of \( \boldsymbol{H}_{2} \boldsymbol{O}_{2} \)
containing 2 g/L. The volume (in ml) of \( \boldsymbol{K} \boldsymbol{M n O}_{4} \) required
to react with \( 20 \mathrm{mL} H_{2} O_{2} \) solution is:
(as nearest integer)
A . 28
B. 17
c. 20
D. 25
| 1 |
Chemistry
|
Find the values of \( x, y \) and \( z \) from the
matrix equation. \( \left(\begin{array}{cc}5 x+2 & y-4 \\ 0 & 4 z+6\end{array}\right)=\left(\begin{array}{cc}12 & -8 \\ 0 & 2\end{array}\right) \)
| 2 |
Maths
|
Peptization denotes:
A. digestion of food
B. hydrolysis of proteins
C. breaking and dispersion into colloidal state
D. precipitation of solid from colloidal dimension
| 1 |
Chemistry
|
The hormone that helps increase the reabsorption of water from the kidney tubules.
| 0 |
Biology
|
In gymnosperms, the pollen chamber
represents
A. The microsporangium in which pollen grains develop.
B. A cell in the pollen grain in which the sperms are formed.
C. A cavity in the ovule in which pollen grains are stored after pollination.
D. An opening in the megagametophyte, through which the pollen tube approaches the egg.
| 0 |
Biology
|
A monochromatic beam of light is used for the formation of fringes on the screen by illuminating the two slits in the Youngs double-slit interference
experiment. When a thin film of mica is interposed in the path of the interference beams, then
A. The fringe width increases
B. The fringe width decreases
c. The fringe width remains the same but the pattern shifts
D. The fringe pattern disappears
| 3 |
Physics
|
A steady current flow in a metallic conductor of non-uniform cross-section.
The quantity/quantities remaining constant along the whole length of the conductor is/are:
A. current, electric field and drift speedd
B. drift speed only
c. current and drift speed
D. current only
| 3 |
Physics
|
Forest is also called as
A. Lung of Earth
B. Heart of Earth
C. Brain of Earth
D. None of the above
| 0 |
Biology
|
Two bodies, initially separated by \( x \) m
and having an initial velocity \( 2 \mathrm{m} s^{-1} \) each, are moving towards each other along a straight line. If the rate of increase of their speeds is \( 3 \mathrm{m} s^{-2} \) and
\( 2 m s^{-2} \) respectively and the two meet after 4 seconds, find \( x \)
A \( \cdot 12 \)
B. 40
\( c .56 \)
D. 66
| 3 |
Physics
|
Which of the following processes
described below is irreversible?
A. The increase in temperature of an iron rod by hammering it.
B. A gas in a small container at a temperature \( T_{1} \) is brought in contact with a big reservoir at a higher temperature \( T_{2} \) which increases the temperature of the gas.
C. An ideal gas is enclosed in a piston cylinder arrangement with adiabatic walls.A weight \( \mathrm{W} \) is added to the piston resulting in compression of gas.
D. All of above
| 3 |
Physics
|
Two soap bubbles \( A \) and \( B \) are formed
at the two open ends of a tube. The
bubble \( A \) is smaller than bubble \( B \). If
valve \( V \) is opened and air can flow freely
between the bubbles, then
A. There is no change in the size of the bubbles
B. The two bubbles will become of equal size
C. \( A \) will become smaller and \( B \) will become larger
D. \( B \) will become smaller and \( A \) will become larger
| 3 |
Physics
|
All are non-metals except:
\( \mathbf{A} \cdot \) hydrogen \( \left(H_{2}\right) \) and carbon (C)
B. potassium (K)
C. inert gases (helium, neon and argon)
D. sulphur (S), phosphorus (P), and fluorine (F)
| 1 |
Chemistry
|
A person can hold his breath longer if he gradually exhales than if he keeps his lungs fully expanded. This phenomenon is due to the fact that
A. the concentration of \( \mathrm{CO}_{2} \), in the blood decreases lessening the excitatory input to the carotid bodies
B. he is then using less 0 , as his thoracic muscles are not working as hard
c. stretch receptors in his lungs are then not firing as much thus lessening the excitatory input to the expiratory centress
D. he is preventing the pressure in his lungs from increasing too much
| 0 |
Biology
|
Find the two missing numbers in the arithmetic mean between 14 and 50
A. 25 and 35
B. 26 and 38
c. 27 and 34
D. 21 and 32
| 2 |
Maths
|
Which one is not a dominant trait
amongst seven Pea traits chosen by
Mendel?
A. Flower Colour - Purple
B. Pod Colour - Yellow
c. Shape of Seed - Round
D. Flower - Axial.
| 0 |
Biology
|
In a series of 3 one-day cricket matches between teams \( A \) and \( B \) of a college, the probability of team A winning or drawing are \( 1 / 3 \) and \( 1 / 6 \) respectively. If a
win, loss or draw gives 2,0 and 1 point
respectively, then what is the
probability that team A will score 5
points in the series?
A \( \cdot \frac{17}{18} \)
B. \( \frac{11}{12} \)
\( c \cdot \frac{1}{12} \)
D. \( \frac{1}{18} \)
| 2 |
Maths
|
A solution of weak acid \( \boldsymbol{H} \boldsymbol{A} \) was
titrated with base \( N a O H . \) The
equivalent point was reached when \( 40 m L \) of \( 0.1 M \) NaOH has been
added. Now 20 m \( L \) of \( 0.1 M \) HCl were
added to titrated solution, the \( p H \) was
found to be \( 5.0 . \) What will be the \( p H \) of
the solution obtained by mixing \( 20 m L \)
of \( 0.2 M N a O H \) and \( 20 m L \) of
\( \mathbf{0 . 2} \boldsymbol{M} \boldsymbol{H} \boldsymbol{A} ? \)
A . 7
B. 9
c. 11
D. None of the above
| 1 |
Chemistry
|
Which of the following represents the electric field lines due to a combination
of two negative charges?
\( A \)
B.
\( c \)
\( D \)
| 3 |
Physics
|
Evaluate :
\( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}}=\frac{\boldsymbol{x}+\boldsymbol{y}+\mathbf{1}}{\boldsymbol{2} \boldsymbol{x}+\boldsymbol{2} \boldsymbol{y}+\boldsymbol{3}} \)
| 2 |
Maths
|
The shaded region is represented by the inequality:
A. \( y-2 x \leq-1 \)
B . \( x-2 y \leq-1 \)
c. \( y-2 x \geq-1 \)
D. \( x-2 y \geq-1 \)
| 2 |
Maths
|
Find the following squares by using the identity
\( \left(\frac{x^{2}}{y z}+\frac{y^{2}}{x z}\right)^{2} \)
| 2 |
Maths
|
The \( p H \) of pure water at \( 25^{\circ} C \) and \( 60^{\circ} C \)
are 7 and 6.5 respectively. HCl gas is
passed through water at \( 25^{\circ} \mathrm{C} \) till the resulting 1 litre solution aquires a \( p H \)
of
3. Now \( 4 \times 10^{-3} \) mole of \( N a C N \) are
added into this solution. Also a fresh
\( 0.1 M H C N \) solution has \( p H 5.1936 \)
Now in the one part of solution obtained after addition of \( N a C N \), one millimole
of \( N a O H \) are added and in the second
part of this solution 0.5 miili mole of
\( H C l \) are added.
The volume of \( H C l \) passed through the
solution at \( 25^{\circ} C \) and 1 atm is :
A. \( 24.46 \mathrm{mL} \)
в. \( 2.446 \mathrm{mL} \)
c. \( 244.6 \mathrm{mL} \)
D. \( 0.2446 \mathrm{mL} \)
| 1 |
Chemistry
|
Write the direction cosines of \( x \) -axis
| 2 |
Maths
|
Represent these number on number line: \( \frac{7}{8}, \frac{-5}{3} \)
| 2 |
Maths
|
Propose structure/structures for the
hydrocarbon that gives the following products on oxidative cleavage by
\( \boldsymbol{K} \boldsymbol{M} \boldsymbol{n} \boldsymbol{O}_{4} / \boldsymbol{H}^{\oplus} \)
| 1 |
Chemistry
|
Assertion
Microwaves are better carrier of signals
than the optical waves.
Reason
Microwaves move faster than optical
waves.
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
|
Assertion
In a meter bridge experiment, a high resistance is always connected in
series with a galvanometer.
Reason
As resistance increases, current
through the circuit increases.
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
| 3 |
Physics
|
Trimethyl phosphine oxide is stable
because
A. It has two resonating structure
B. Phosphurus-oxygen double bond has highh dissociation energy
c. Both (A) and (B)
D. None of the above
| 1 |
Chemistry
|
If \( \sqrt{\frac{\boldsymbol{v}}{\boldsymbol{\mu}}}+\sqrt{\frac{\boldsymbol{\mu}}{\boldsymbol{v}}}=\mathbf{6}, \) then \( \frac{\boldsymbol{d} \boldsymbol{v}}{\boldsymbol{d} \boldsymbol{\mu}}= \)
A. \( \frac{17 \mu-v}{\mu-17 v} \)
в. \( \frac{\mu-17 v}{17 \mu-v} \)
c. \( \frac{17 \mu+v}{\mu-17 v} \)
D. \( \frac{\mu+17 v}{17 \mu-v} \)
| 2 |
Maths
|
\( H_{2} O_{2} \) turns starch iodide paper to
green colour.
If this is true enter 1 , if false enter 0 .
| 1 |
Chemistry
|
Number of permutations of 1,2,3,4,5,6,7,8 taken all at a time are
such that the digit appearing some where to the left of 2 3 appearing to the left of 4 5 some where to the left of 6
(e.g.815723946 would be one such permutation)
A .9 .7
B. 8!
c. \( 5 ! .4 \)
D. 8!.4
| 2 |
Maths
|
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