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Assertion
An \( n- \) type semiconductor has a large
number of electrons but still it is
electrically neutral
Reason
An \( n- \) type semicondutor is obtained
by doping an intrinsic semiconductor with a pentavalent impurity.
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
|
The number of times a person breathes in a minute is called as
A. Inhalation
B. Respiratory rate
c. Breathing
D. Breathing rate
| 0 |
Biology
|
A wheel having a diameter of 3 m starts
from rest and accelerates uniformly to an angular velocity of 210 r.p.m. in 5 seconds. Angular acceleration of the wheel is:
A. 4.4 rad \( s^{-2} \)
B. 3.3 rad \( s^{-2} \)
c. 2.2 rad \( s^{-2} \)
D. 1.1 rad \( s^{-2} \)
| 3 |
Physics
|
If \( S=\frac{1}{1.5}+\frac{1}{5.9}+\frac{1}{9.13}+\ldots . ., \) then
\( ^{\mathbf{A}} \cdot T_{n}=\frac{1}{4}\left(\frac{1}{4 n-3}-\frac{1}{4 n+1}\right) \)
B. \( s_{n}=\frac{1}{4}\left[1-\frac{1}{4 n+1}\right] \)
c. \( S_{\infty}=1 \)
D. None
| 2 |
Maths
|
Elements \( A, B, C, D \) have atomic
numbers as 35,19,17,9 respectively. Choose the odd element
\( A \cdot A \)
в. \( B \)
c. \( C \)
D. \( D \)
| 1 |
Chemistry
|
Given the following bond dissociation
enthalpies \( \left(k J . m o l^{-1}\right) \)
\( \boldsymbol{P} \equiv \boldsymbol{P}-\mathbf{4 9 0}, \boldsymbol{P}-\boldsymbol{P}-\mathbf{2 0 9}, \boldsymbol{N} \equiv \boldsymbol{N}- \)
\( \mathbf{9 4 6}, N-N-160 \)
Compare the enthalpy changes for the
process
(i) \( 2 P_{2}(g) \longrightarrow P_{4}(g) \)
(ii) \( 2 N_{2}(g) \longrightarrow N_{4}(g) \)
Choose the correct option.
A \( \cdot P_{4} \) is feasible but \( N_{4} \) is not feasible
B. \( P_{4} \) is not feasible but \( N_{4} \) is feasible
c. Both \( P_{4} \) and \( N_{4} \) are feasible
D. Both \( P_{4} \) and \( N_{4} \) are not feasible.
| 1 |
Chemistry
|
Formaldehyde is used as formalin in
industries:
A. to preserve biological specimens
B. to prepare bakelite
c. both \( A \) and \( B \)
D. none of these
| 1 |
Chemistry
|
The complex number system, denoted
by \( C, \) is the set of all ordered pairs of
real numbers (that is, \( \boldsymbol{R} \times \boldsymbol{R} \) ) with the
operations of addition (denoted by \( +) \) which satisfy
A \( \cdot(a, b)+(c, d)=(a+d, b+c) \)
в. \( (a, b)+(c, d)=(a c-b d, b c-a d) \)
C. \( (a, b)+(c, d)=(a+c, b+d) \)
D. None of these
| 2 |
Maths
|
A wave is measured to have a frequency of \( 60 H z \). If its wavelength is \( 24 c m \) determine how fast it is moving.
\( \mathbf{A} \cdot 24 m / s \)
в. \( 10 \mathrm{m} / \mathrm{s} \)
c. \( 12 m / s \)
D. \( 14 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
Which of the following forms of energy
is released or absorbed in most
chemical reactions?
A. Light energy
B. Electrical energy
c. sound energy
D. Heat energy
| 3 |
Physics
|
In vapour state a metal is
atomic.
| 1 |
Chemistry
|
In Young's double slit experiment shows
in figure, \( S_{1} \) and \( S_{2} \) are coherent
sources and \( \mathrm{S} \) is the screen having a
hole at a point \( 1.0 \mathrm{mm} \) away from the
central line. White light \( (400 \text { to } 700 \) nm)
is sent through the slits. Which
wavelength passing through the hole
has the strongest intensity?
A. \( 400 \mathrm{nm} \)
B. 700 nm
\( c .500 \mathrm{nm} \)
D. 667 nm
| 3 |
Physics
|
A ball of mass \( 5 k g \) is suspended from a
chord of length \( l=0.5 m \) is attached to
a cart \( A \) of mass \( 2.5 k g \), which slides
freely on a frictionless horizontal track
as shown in figure. The ball given an initial horizontal velocity 1 m / \( s \) relative to the ground while the cart is at rest.
Find
(a) The velocity of the ball when string makes minimum angle with vertical
(b) The maximum vertical distance
through which the ball will rise.
| 3 |
Physics
|
The numbers 3.845 and 3.835 on
rounding off to 3 significant figures will give then
A. 3.85 and 3.84
B. 3.84 and 3.83
c. 3.85 and 3.83
D. 3.84 and 3.84
| 3 |
Physics
|
With four bases the number of possible triplet codons is
A . 24
B. 32
\( c \cdot 48 \)
\( D \cdot 64 \)
| 0 |
Biology
|
Find the derivative of \( x^{2} \) with respect to
\( \log \boldsymbol{x} \)
| 2 |
Maths
|
Consider a spherical shell of radius \( \mathrm{R} \) with a total charge + q uniformly spread on its surface(center of the chell lies at
the origin \( x=0 \) ). Two point charges, \( +q \) and \( -q \) are brought, one after the other, from far away and placed at \( x=-a / 2 \)
and \( \boldsymbol{x}=+\boldsymbol{a} / 2(\boldsymbol{a}<\boldsymbol{R}), \) respectively
Magnitude of the work done in this
process is?
A \( \cdot(Q+q)^{2} \cdot 4 \pi \varepsilon_{0} \)
\( a \)
B. Zero
\( \mathbf{c} \cdot q^{2} / 4 \pi \varepsilon_{0} \)
D \( \cdot Q q / 4 \pi \varepsilon_{0} a \)
| 3 |
Physics
|
Which of the following states of matter have two specific heats?
A. solid
B. gass
c. liquid
D. vapour
| 3 |
Physics
|
'A' represents central atom, 'B' number of bond pairs and 'E' number of lone
pairs. Then the one having \( \boldsymbol{A} \boldsymbol{B}_{\mathbf{5}} \boldsymbol{E} \)
formula is
A \( \cdot P C l_{5} \)
в. \( S F_{6} \)
c. \( B C l_{3} \)
D. \( C l F_{5} \)
| 1 |
Chemistry
|
The resistance of a \( \frac{N}{10} K C l \) aqueous solution is \( 245 \Omega \). If the electrodes in the
cell are \( 4 \mathrm{cm} \) apart and area having
\( 77 \mathrm{cm}^{2} \) each, the molar conductance of
the solution will be:
A . 233
B. 2.12
c. 23.32
D. 0.233
| 1 |
Chemistry
|
A particle moves along x-axis in such a way its coordinate (x) varies with time
(t) according to the expression \( \boldsymbol{x}=\mathbf{2}- \)
\( 5 t+6 t^{2} \). its intial velocity is
A. \( -3 m s^{-1} \)
B. \( -5 m s^{-1} \)
\( \mathbf{c} \cdot 2 m s^{-1} \)
D. \( 3 m s^{-1} \)
| 3 |
Physics
|
In which of the following work is being
done?
This question has multiple correct options
A. Man sitting on a bench
B. Person Standing with a basket of fruit on the head.
c. Climbing a tree to pluck
D. Pushing a wheelbarrow of bricks.
| 3 |
Physics
|
Explain the action cu releasing IUO and hormone releasing IUD reperatily.
| 0 |
Biology
|
Which of the following is scientific explanation of depression?
A. An increased level of sugar in the blood leads to depression
B. Low levels of noradrenaline, a neurotransmitter in the blood lead to depression
c. Release of extra gastric juice in the stomach lead to depression
D. Sleep incducing drugs lead to depression
| 1 |
Chemistry
|
Be on dissolving in aqueous \( N a O H \)
yields:
A. \( N a_{2} B e O_{2} \)
B \( \cdot N a_{2}\left[\operatorname{Be}(O H)_{4}\right] \)
c. \( \operatorname{Na}\left[\operatorname{Be}(O H)_{3}\right] \)
D. Both (A) and (B)
| 1 |
Chemistry
|
What sum invested for \( 1 \frac{1}{2} \) years compounded half-yearly at the rate \( 8 \% \) p.a. will amount to \( R s .140608 ? \)
| 2 |
Maths
|
A particle moves under the force
\( \boldsymbol{F}(\boldsymbol{x})=\left(\boldsymbol{x}^{2}-\boldsymbol{6} \boldsymbol{x}\right) \boldsymbol{N}, \) where \( \boldsymbol{x} \) is in
meters. Show that for small
displacements from the origin the force constant in the simple harmonic motion is approximately 6
| 3 |
Physics
|
From a supply of identical capacitors rated \( 8 \mu F, 250 V \) the minimum number of capacitors required to form a composite of \( 16 \mu F, 1000 V \) is
\( A \cdot 2 \)
B. 4
\( c \cdot 16 \)
D. 32
| 3 |
Physics
|
A car is travelling on a straight road. The maximum velocity the car can
attains is \( 24 m s^{-1} . \) The maximum
acceleration and deceleration it can
attain are \( 1 m s^{-2} \) and \( 4 m s^{-2} \)
respectively. The shortest time the car
takes from rest to rest in a distance of
\( 500 \mathrm{m} \) is
A . 22.4
B. 30 s
c. \( 11.2 \mathrm{s} \)
D. 35.8 s
| 3 |
Physics
|
In a pseudo first order acid catalysed
hydrolysis of ester in water the following
results were obtained:
\( t / s \)
0.30
60
[ester]/M 0.550 .31
0.17 \( \quad 0.085 \)
Which of the following is/are correct for
the given reaction? This question has multiple correct options
A. The average rate of reaction between time interval 30 to 60 seconds is \( 4.67 \times 10^{-3} \) mol \( L^{-1} s^{-1} \)
B. Order of reaction is 2.
c. Pseudo first order rate constant for the acid catalysed hydrolysis of ester is \( 1.92 \times 10^{-2} s^{-1} \)
D. All are correct.
| 1 |
Chemistry
|
What is the common name of
\( \mathbf{C H}_{3} \mathbf{C O O H} ? \)
| 1 |
Chemistry
|
If the roots of the equation \( x^{2}-8 x+ \)
\( a^{2}-6 a=0 \) are real, then the value of \( a \)
will be
A \( .-2<a<8 \)
в. \( -2 \leq a \leq 8 \)
\( \mathbf{c} \cdot 2<a<8 \)
D. \( 2 \leq a \leq 8 \)
| 2 |
Maths
|
What should be added in vector \( 3 i+ \)
\( 4 j-2 k \) to get its resultant a unit vector
\( i \)
A . \( -2 i-4 j+2 k \)
B. \( 2 i+4 j+2 k \)
\( c .-2 i+4 j+2 k \)
D. None of these
| 2 |
Maths
|
Probability of getting 2 when we roll a
dice
| 2 |
Maths
|
Two fair dice are thrown. What is the
probability that the two scores do not
add to \( 5 ? \)
\( A \cdot \frac{7}{9} \)
в. \( \frac{5}{9} \)
\( c \cdot \frac{8}{9} \)
D. \( \frac{1}{9} \)
| 2 |
Maths
|
Diopter is the unit of :
A. Telescope
B. Microscope
c. Power of lens
D. Eye sight
| 3 |
Physics
|
If \( P \) and \( Q \) are the sum and product
respectively of all integral values of \( x \)
satisfying the equation \( |\mathbf{3}[\boldsymbol{x}]-\mathbf{4} \boldsymbol{x}|=\mathbf{4} \)
then
(where [.] denotes represents greatest integer function \( ) \) This question has multiple correct options
\( \mathbf{A} \cdot P=0 \)
B . \( P=8 \)
c. \( Q=-16 \)
D. \( Q=-9 \)
| 2 |
Maths
|
Among the most polluted cities in India,
Delhi stands at
(According to latest annual average values)
A. Second most polluted
B. Third most polluted
c. Fourth most polluted
D. Fifth most polluted
E. Sixth most polluted
| 1 |
Chemistry
|
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \longrightarrow \boldsymbol{2} \boldsymbol{H}_{2} \boldsymbol{O}(l) ; \boldsymbol{\Delta} \boldsymbol{H}= \)
\( -286 k J \)
\( \mathbf{2} \boldsymbol{H}_{\mathbf{2}}(\boldsymbol{g})+\boldsymbol{O}_{\mathbf{2}}(\boldsymbol{g}) \longrightarrow \)
\( 2 H_{2} O(l) \dots \dots \dots J(\pm ?) \)
A \( \cdot 2 H_{2}(g)+O_{2}(g) \longrightarrow 2 H_{2} O(l)+572 k J \)
В \( \cdot 2 H_{2}(g)+O_{2}(g) \rightarrow 2 H_{2} O(l)-572 k J \)
C. \( 2 H_{2}(g)+O_{2}(g) \longrightarrow 2 H_{2} O(l)+0 k J \)
D. None of these
| 1 |
Chemistry
|
A drop of water is placed on a glass plate. A double convex lens having radius of curvature of each surface 20
\( \mathrm{cm} \) is placed on it. The focal length of water lens \( \left(\mu \text { for water }=\frac{3}{4}\right), \) will be
A . -0.20
B. -0.60 \( \mathrm{m} \)
\( c .0 .30 \)
D. \( 0.40 \mathrm{m} \)
| 3 |
Physics
|
A uniform chain has a mass \( M \) and
length \( L \). It is placed on a frictionless table with length \( l_{0} \) hanging over the edge. The chain beings to slide down. Then the speed \( V \) with which the end
slides away from the edge is given by :
A \( \cdot V=\sqrt{\frac{g}{L}\left(L+l_{o}\right)} \)
B. \( V=\sqrt{\frac{g}{L}\left(L-l_{o}\right)} \)
c. \( V=\sqrt{\frac{g}{L}\left(L^{2}-l_{o}^{2}\right)} \)
D. \( V=\sqrt{2 g\left(L-l_{o}\right)} \)
| 3 |
Physics
|
The height of cylinder is \( 4 \mathrm{cm} \) The
Radius of cylinder is \( 5 \mathrm{cm} \) find its
volume
| 2 |
Maths
|
The ratio of the radius of Bohr first orbit
for the electron orbiting the hydrogen nucleus to that of the electron orbiting the deuterium nucleus (mass nearly
twice that of nucleus) is approximately:
A . 1: 1
B. 1: 2
c. 2: 1
D. 1: 4
| 1 |
Chemistry
|
Cartesian equation of a line is \( \frac{x-5}{3}= \) \( \frac{\boldsymbol{y}+\boldsymbol{4}}{\mathbf{7}}=\frac{\boldsymbol{z}-\boldsymbol{6}}{\boldsymbol{2}} . \) Write it in vector form
| 2 |
Maths
|
A sample of potato was ground in a ball mill to give a starch-like molecule of lower molecular weight. the product analysed \( 0.086 \% \) phosphorous if each molecule is assumed to contain one
atom of phosphorous, what is the molecule weight of material
A. 36000
B. 37000
c. 46000
D. 3600
| 1 |
Chemistry
|
How does temperature affect reaction
rate?
A. It usually increases it
B. It always decreases it
C . It always increases it
D. Reaction rate is independent of temperature
E. It usually decreases it
| 1 |
Chemistry
|
\( P_{4} \) is a stable from of phosphorus. The percentage of \( p \) -character in the orbital
forming \( (P-P) \) bonds in \( P_{4} \) is
A . 25
B. 33
\( c .50 \)
D. 75
| 1 |
Chemistry
|
Match Column \( I \) with Column \( I I: \)
| 3 |
Physics
|
Steroid hormones lead to the :
A. destruction of normal DNA
B. replication of hormones by the cell DNA
C. synthesis of new enzymes
D. alteration of the Krebs cycle
| 1 |
Chemistry
|
If \( 400 \Omega \) of resistance is made by adding four \( 100 \Omega \) resistance of tolerance \( 5 \% \)
then the tolerance of the combination
is?
A . \( 15 \% \)
B. 20\%
c. \( 5 \% \)
D. \( 10 \% \)
| 3 |
Physics
|
Find the differential coefficient of
\( \tan ^{-1} x \) w.r to \( x \)
| 2 |
Maths
|
Vascular bundles of monocot stem are
A. Conjoint, collateral and open
B. Conjoint, collateral and closed
C. Conjoint, bicollateral and open
D. Conjoint, concentric and closed
| 0 |
Biology
|
More electronegative elements have:
A. negative reduction potential
B. tendency to lose electrons
C. positive reduction potential
D. positive oxidation potential
| 1 |
Chemistry
|
Cod liver is an example of:
A . oil emulsion
B. oil in water emulsion
c. water in oil emulsion
D. water in water emulsion
| 1 |
Chemistry
|
The gravitational force between two
objects in \( 200 N \) How should the distance between these objects be changed so that force between them becomes \( 50 N ? \)
| 3 |
Physics
|
Which of the following is not found in vertebrates?
A. Bilateral symmetry
B. Gill opening
c. Body scales
D. cnidoblasts
| 0 |
Biology
|
A graph was plotted between
molar conductivity of various
electrolytes
\( \left(\begin{array}{lll}\text { NaCl, } & \text { HCl } & \text { and } & \text { NH }\left._{\mathbf{4}} \text { OH }\right) \text { and }\end{array}\right. \)
\( \sqrt{\boldsymbol{C}}\left(\text { in } \quad \boldsymbol{m o l} \boldsymbol{L}^{-1}\right) \). correct set is:
A \( \cdot I(N a C l), I I(H C l), I I I\left(N H_{4} O H\right) \)
B \cdot \( I(H C l), I I(N a C l), I I I\left(N H_{4} O H\right) \)
c. \( _{I\left(N H_{4} O H\right), I I(N a C l), I I I(H C l)} \)
D - \( _{I}\left(N H_{4} O H\right), I I(H C l), I I I(N a C l) \)
| 1 |
Chemistry
|
Find the projection of vector \( 2 \hat{i}+\hat{j} \) on the vector \( \hat{\mathbf{i}}+\mathbf{2} \hat{\mathbf{j}} \)
| 2 |
Maths
|
An example of inelastic collision is:
A. scattering of \( \alpha \) particle from a nucleus
B. collision of ideal gas molecules
C. collision of two steel balls lying on a frictionless table
D. collision of a bullet with a wooden block
| 3 |
Physics
|
\( \int_{0}^{a} x^{4}\left(a^{2}-x^{2}\right)^{1 / 2} d x \) equals
\( ^{A} \cdot \frac{\pi a^{5}}{32} \)
в. \( \frac{\pi a^{6}}{32} \)
c. \( \frac{\pi a^{2}}{32} \)
D. None of these
| 2 |
Maths
|
A solenoid \( 1.5 \mathrm{m} \) long and \( 4.0 \mathrm{cm} \) in diameter possesses 10 turns/cm. current of 5 A is flowing through it. Then the magnetic induction (i) inside and
(ii) at one end on the axis of solenoid
are respectively
A \( \cdot 2 \pi \times 10^{-3} T, \pi \times 10^{-3} T \)
В . \( 3 \pi \times 10^{3} T, 1.5 \pi \times 10^{3} T \)
c. \( 0.5 \pi \times 10^{3} 10^{3} T, 4 \pi \times 10^{3} T \)
D. \( 4 \pi \times 10^{3} T, 2 \pi \times 10^{3} \)
| 3 |
Physics
|
The IUPAC name of compound is:
A. Butan-2-aldehyde
B. 2-Methyl-butanal
c. 3-Methyl-butanal
D. 2-Ethylpropanal
| 1 |
Chemistry
|
If
\( \lim _{x \rightarrow 0^{+}} x\left(\left[\frac{1}{x}\right]+\left[\frac{5}{x}\right]+\left[\frac{11}{x}\right]+\left[\frac{19}{x}\right]+\right. \)
430 (where [.] denotes the greatest
integer function), then \( n= \)
A . 8
B. 9
\( c .10 \)
D. 11
| 2 |
Maths
|
Find odd one out according to the presence of Methane.
A . LPG
B. LNG
c. см
D. Biogas
| 1 |
Chemistry
|
Product (C) obtained is:
\( A \)
\( \mathbf{C H}_{3}-\mathbf{C H}=\mathbf{C H}-\mathbf{C H}_{\mathbf{3}} \)
B.
\( c \)
D.
| 1 |
Chemistry
|
Which one of following statement(s)
is/are not correct in respect of Iyophilic
Sols?
A. There is a considerable interaction between the dispersed phase and dispersion medium
B. These are quite stable and are not easily coagulated
C. They need stabilizing agent
D. The particles are hydrated
| 1 |
Chemistry
|
A copper wire and a steel wire of the
same length and same cross section are joined end to end to form a
composite wire. The composite wire is hung from a rigid support and a load is suspended from the other end. If the increase in length of the composite wire is 2.4 mm, then the increase in lengths
of steel and copper wires are:
\( \left(Y_{c u}=10 \times 10^{10} N / m^{2}, Y_{s t e e l}=2 \times\right. \)
\( \left.10^{11} N / m^{2}\right) \)
\( \mathbf{A} \cdot 1.2 m m, 1.2 m m \)
в. \( 0.6 \mathrm{mm}, 1.8 \mathrm{mm} \)
c. \( 0.8 m m, 1.6 m m \)
D. \( 0.4 \mathrm{mm}, 2.0 \mathrm{mm} \)
| 3 |
Physics
|
The negative and positive ions are held by of attraction.
A. negative force
B. positive force
c. electrostatic force
D. none of the above
| 1 |
Chemistry
|
The value of \( (x- \)
\( \left(x+\frac{1}{2}-\frac{\sqrt{3}}{2} i\right)\left(x+\frac{1}{2}+\frac{\sqrt{3}}{2} i\right) \)
A. \( x^{3}+x^{2}+x 1 \)
B . \( x^{3}-1 \)
c. \( x^{3}+1 \)
D. \( x^{3}-x^{2}+x+1 \)
| 2 |
Maths
|
The type of linkage present in carbohydrates is
A. Peptide
B. Glycosidic
c. Amide
D. Phosphate bonds
| 0 |
Biology
|
In a Young's double slit experiment, the
intensity at the cetral maximum is \( l_{0-} \)
The intensity ata distance \( \beta / 4 \) from the central maximum is ( \( \beta \) is frige width)
A \( \cdot l_{0} \)
в. \( \frac{l_{0}}{2} \)
c. \( \frac{l_{0}}{\sqrt{2}} \)
D. \( \frac{l_{0}}{4} \)
| 3 |
Physics
|
Q Type your question-
\( \mathrm{CaCl}_{2}+\mathrm{U}-\mathrm{tube}=80.483 \mathrm{g} \)
After:Porcelain boat + contents =
\( \mathbf{5 4 . 8 6 9 g} \)
\( \mathrm{CaCl}_{2}+\mathrm{U}-\mathrm{tube}=89.483 \mathrm{g} \)
Reactions: \( Z n(s)+2 H C l(a q) \rightarrow \)
\( Z n C l_{2}(a q)+H_{2}(g) \) then \( H_{2}(g)+ \)
\( \boldsymbol{C u O}(\boldsymbol{s}) \rightarrow \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g})+\boldsymbol{C u}(\boldsymbol{s}) \)
What was the reason placing tube of
\( \mathrm{CaCl}_{2} \) between the generator and the
tube containing the porcelain boat?
A. To absorb evaporated HCI
B. To absorb evaporated \( H_{2} O \)
C. To slow down the gases released
D. To absorb the evaporated Zn particles
E. To remove the initial air that passes through the tube
| 1 |
Chemistry
|
A glycoside is the carbohydrate form of
an:
A. Ether
B. Acetal
c. Aglycone
D. Alcohol
| 1 |
Chemistry
|
If the product of all solution of the equation \( \frac{(2009) x}{2010}=(2009)^{\log _{x}(2010)} \) can
be expressed in the lowest form as \( \frac{m}{n} \) then the value of \( (\boldsymbol{m}+\boldsymbol{n}) \) is
| 2 |
Maths
|
Total reflecting prisms are
prism.
A . Right angled
B. Acute angled isosceles
c. Right angled isosceles
D. obtuse angled isosceles
| 3 |
Physics
|
n the given figure, If \( M L \| B C \) and
\( N L \| D C, \) then \( \frac{A M}{A B}=\frac{A N}{A D} \)
4. True
3. Falss
| 2 |
Maths
|
Is \( g=\{(1,1),(2,3),(3,5),(4,7)\} \)
function? If this is described by the formula.
\( g(x)=\alpha x+\beta, \) then what values should be assigned to \( \alpha \) and \( \beta ? \)
| 2 |
Maths
|
A sum of Rs. 10,000 is borrowed at \( 8 \% \)
per annum compounded annually. If the amount is to be paid in three equal installments,what will be the annual
installment?
| 2 |
Maths
|
\( f(x)=\frac{\left(e^{k x}-1\right)(\sin k x)}{4 x^{2}}, x \neq 0 \)
\( \boldsymbol{f}(\mathbf{0})=\mathbf{9}, \) is continuous at \( \boldsymbol{x}=\mathbf{0}, \) then \( \mathbf{k} \)
\( =? \)
\( \mathbf{A} \cdot \pm 2 \)
B. ±6
\( c .\pm 4 \)
D. None of the above
| 2 |
Maths
|
Which of the following steps of respiration is amphibolic?
A. Glycolysis
B. Oxidative decarboxylation of pyruvate
c. TCA cycle
D. Oxidative phosphorylation
| 0 |
Biology
|
Name of the compound is:
A. 3 -methyl-trans-3-octene.
B. 5-ethyl-trans-3-octene
c. 4 -ethyl-cis-2-octene
D. 5-ethyl-trans-5-octene
| 1 |
Chemistry
|
Evaluate :
\( \int \frac{x}{(x-1)^{2}(x+2)} d x \)
| 2 |
Maths
|
Assertion
The present position of hydrogen in the modern periodic table is completely justifiable.
Reason
Hydrogen is a metallic diatomic
element.
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
|
Which of the following is/are the properties of halogen compounds?
A. Hydrogen halides are binary compounds of halogens with hydrogen
B. They are strong hydrohalic acids when dissolved in water
c. Among all the halide compounds the exceptional is \( H F \)
D. All of the above
| 1 |
Chemistry
|
Find the value of \( x+y \) in the given
figure (in degrees)
| 2 |
Maths
|
Electric field at point (30,30,0) due to a
point charge of \( 8 \times 10^{-3} \mu C \) placed at
origin will be (coordinates are in \( \mathrm{cm} \) )
A. \( 8000 N / C \)
в. \( 4000(\hat{i}+\hat{j}) N / C \)
c. \( 200 \sqrt{2}(\hat{i}+\hat{j}) N / C \)
D. \( 400 \sqrt{2}(\hat{i}+\hat{j}) N / C \)
| 3 |
Physics
|
A skew-symmetric matrix \( M \) satisfies
the relation \( M^{2}+I=0, \) where \( I \) is the
unit matrix. Then, \( M M^{\prime} \) is equal to
A . \( I \)
B . \( 2 I \)
\( c .-I \)
D. None of these
| 2 |
Maths
|
Isotopes have different:
A. arrangement of electrons
B. no. of p and \( e^{-} \)
c. no. of neutrons
D. no. of electrons
| 1 |
Chemistry
|
The van der Waals forces in halogens increase in the order:
A \( \cdot \mathrm{F}_{2}<\mathrm{Cl}_{2}<\mathrm{Br}_{2}<\mathrm{I}_{2} \)
В \( \cdot I_{2}>\mathrm{Cl}_{2}>\mathrm{Br}_{2}>\mathrm{F}_{2} \)
c. \( \mathrm{F}_{2}<\mathrm{Br}_{2}<\mathrm{I}_{2}<\mathrm{Cl} \)
D. \( \operatorname{Br}_{2}<\mathrm{F}_{2}<\mathrm{Cl}_{2}<\mathrm{I}_{2} \)
| 1 |
Chemistry
|
When bleaching powder reacts with
excess of dilute acids, the gas liberated is:
A \( \cdot C l_{2} \)
в. \( O_{2} \)
c. \( B \mathrm{r}_{2} \)
D. \( I_{2} \)
| 1 |
Chemistry
|
Which of the following statement (s) is/are true regarding the change:
\( \boldsymbol{C N}^{-} \rightarrow \boldsymbol{C N O}^{-} ? \)
This question has multiple correct options
A. Carbon is losing two electrons per atom.
B. The oxidation state of carbon change from +2 to +4
c. oxidation state of nitrogen is not changing
D. oxidation state of nitrogen changes from - 3 to -
| 1 |
Chemistry
|
Molecule with double bond is :
A \( . H_{2} \)
B. \( F_{2} \)
\( c \cdot C l_{2} \)
D. \( O_{2} \)
| 1 |
Chemistry
|
n-Butane \( \left(C_{4} H_{10}\right) \) is produced by
monobromination of \( C_{2} H_{6} \) followed by
Wurtz reaction. Calculate the volume of
ethane at STP required to produce 55 g of \( n \) -butane. The bromination takes
place with \( 90 \% \) yield and the Wurtz reaction with \( 85 \% \) yield.
A . 27.75 느
B . 55.5 느
c. 111
D. 5.55
| 1 |
Chemistry
|
Assertion
Sodium reacts with oxygen to form
\( N a_{2} O_{2} \) but postassium reacts with
oxygen to form \( K O_{2} \)
Reason
Potassium is more reactive metal than
sodium.
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
|
Tell what property allows you to compute \( \frac{1}{3} \times\left(6 \times \frac{4}{3}\right) \) as \( \left(\frac{1}{3} \times 6\right) \times \)
4
\( \overline{\mathbf{3}} \)
| 2 |
Maths
|
Which final acid obtained in contact
process?
A. conc. \( H_{2} S O_{4} \)
B. dil. \( H_{2} S O_{4} \)
c. fuming sulphuric acid.
D. None of the above
| 1 |
Chemistry
|
A stone thrown vertically upwards with
a speed of \( 5 m / s \) attains a height \( H_{1} \)
Another stone thrown upwards from the same point with a speed of \( 10 m / s \)
attains a height \( \boldsymbol{H}_{2} \). The correct relation
between \( H_{1} \) and \( H_{2} \) is
A \( . H_{2}=4 H_{1} \)
В. \( H_{2}=3 H_{1} \)
\( \mathbf{c} \cdot H_{1}=2 H_{2} \)
D. \( H_{1}=H_{2} \)
| 3 |
Physics
|
Select the incorrect statement(s):
This question has multiple correct options
A. Magnesium can be burnt in the atmosphere of \( C O_{2} \)
and \( S O_{2} \)
B. Magnesium reacts with alkyl halides to form Grignard's reagent
C. Out of \( M g \) and \( C a \), only \( M g \) reacts with \( N_{2} \) to form magnesium nitride
D. Calcium is less reactive than magnesium
| 1 |
Chemistry
|
The molecular mass of benzoic acid in
benzene as determined by depression in freezing point method corresponds to:
A. ionization of benzoic acid
B. dimerization of benzoic acid
c. trimerization of benzoic acid
D. solvation of benzoic acid
| 1 |
Chemistry
|
Short / Long Answer question Type :
Write short notes on Menarche
| 0 |
Biology
|
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