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Determination of age of a tree by counting annual rings is known as
A. Dendrochronology
B. Dendrology
c. Gyrochronology
D. Chronology
| 0 |
Biology
|
The work done by external agent to shift a point mass from infinity to the centre of earth is :
\( \mathbf{A} \cdot=0 \)
\( \mathbf{B} \cdot>0 \)
\( c \cdot<0 \)
\( \mathrm{D} \cdot<0 \)
| 3 |
Physics
|
The sum \( \frac{1}{1+1^{2}+1^{4}}+\frac{2}{1+2^{2}+2^{4}}+ \)
\( \frac{\mathbf{3}}{\mathbf{1}+\mathbf{3}^{2}+\mathbf{3}^{4}}+\ldots+\frac{\mathbf{9 9}}{\mathbf{1}+\mathbf{9 9}^{2}+\mathbf{9 9}^{4}} \) lies
between
A. 0.46 and 0.47
7
B. 0.52 and 1.0
c. 0.48 and 0.49
D. 0.49 and 0.50
| 2 |
Maths
|
As per given figure to complete the
circular loop what should be the radius
if initial is \( 5 m \)
A . \( 4 m \)
B. 3 m
c. \( 2.5 m \)
D. \( 2 m \)
| 3 |
Physics
|
Prove that:
\( \left[1+\cot \theta-\sec \left(\theta+\frac{\pi}{2}\right)\right][1+\cot \theta+\sec \)
\( 2 \cot \theta \)
| 2 |
Maths
|
Find the \( n t h \) term and the sum of \( n \)
terms of the series \( 1.2 .4+2.3 .5+ \)
\( 3.4 .6+\ldots \)
| 2 |
Maths
|
\( 1+\frac{3}{2}+\frac{5}{4}+\frac{7}{8}+\ldots . . \) n terms
| 2 |
Maths
|
f there was no photosynthesis what would happen?
| 0 |
Biology
|
The weakest interparticle forces are
present in:
A. Thermosetting polymers
B. Thermoplastic polymers
c. Fibers
D. Elastomers
| 1 |
Chemistry
|
Find the value of \( \lambda \) if the following equations are consistent \( \boldsymbol{x}+\boldsymbol{y}-\mathbf{3}=\mathbf{0} \)
\( (1+\lambda) x+(2+\lambda) y-8=0 \)
\( \boldsymbol{x}-(\mathbf{1}+\boldsymbol{\lambda}) \boldsymbol{y}+(\boldsymbol{2}+\boldsymbol{\lambda})=\mathbf{0} \)
| 2 |
Maths
|
From a building two balls \( A \) and \( B \) are thrown such that \( A \) is thrown upwards
and B downwards (both vertically). If \( v_{A} \)
and \( v_{B} \) are their respective velocities on
reaching the ground, then
A \( \cdot v_{A}>v_{B} \)
В. \( v_{A}=v_{B} \)
c. \( v_{A}<v_{B} \)
D. Their velocities depend on their masses
| 3 |
Physics
|
If \( f \) and \( g \) are two decreasing function such that \( f o g \) is defined, then fog will
be
A. increasing function
B. decreasing function
c. neither increasing nor decreasing
D. None of these
| 2 |
Maths
|
Compensation point is the value of the factor where there is
A. Neither photosynthesis nor respiration
B. Little photosynthesis
c. Photosynthesis is equal to the rate of respiration
D. Beginning of photosynthesis
| 0 |
Biology
|
A man standing unsymmetrically between two parallel cliffs, claps his hand and starts hearing a series of echoes at intervals of 1 s. If the speed of
sound in air is \( 340 \mathrm{ms}^{-1} \), then the distance between the two prallel cliffs,
is
A . \( 170 \mathrm{m} \)
B. 340 \( \mathrm{m} \)
\( c .510 \mathrm{m} \)
D. \( 680 \mathrm{m} \)
| 3 |
Physics
|
Fill in the blanks with suitable words
The rays used to show bone structure is
| 3 |
Physics
|
An alcohol with \( D . U=1 \) exists having
a \( 2^{\circ} \) hydroxy group with the
molecular formula of \( C_{3} H_{6} O \) is:
A. isopropanol
B. propenol
c. cyclopropenol
D. cyclopropanol
| 1 |
Chemistry
|
Four charges, all of the same magnitude placed at the four corners of a square. At centre of the square, the
potential is \( V \) and the field is \( E . B y \) suitable choices of the signs of four charges, which of the following can be obtained?
This question has multiple correct options
A. \( V=0, E=0 \)
B. \( V=0, E \neq 0 \)
c. \( V \neq 0, E=0 \)
D. \( V \neq 0, E \neq 0 \)
| 3 |
Physics
|
An atom has the symbol \( p \) \( q \) Which value determines the position of the element in the periodic table?
A .
B. 9
\( c \cdot p-q \)
D. p+q
| 1 |
Chemistry
|
Which of the following is an analgesic?
A. Chloramphenicol
B. Penicillin
c. Paracetamol
D. streptomycin
| 1 |
Chemistry
|
The correct IUPAC name of the
coordination compound
\( \boldsymbol{K}_{\mathbf{3}}\left[\boldsymbol{F} \boldsymbol{e}(\boldsymbol{C} \boldsymbol{N})_{\mathbf{5}} \boldsymbol{N} \boldsymbol{O}\right] \) is \( \boldsymbol{?} \)
A. potassium pentacyanonitrosylferrate (II)
B. potassium pentacyanonitro-N-ferrate(III)
C . potassium nitritopentacyanoferrate(IV)
D. potassium nitritepentacyanoiron(II)
| 1 |
Chemistry
|
If \( \vec{a} \) and \( \vec{b} \) two collinear vectors then
which of the following are incorrect
A \( \cdot \vec{b}=\lambda \vec{a} \) for some scalar
B \( \cdot \vec{a}=\pm \vec{b} \)
C. The respective components of \( \vec{a} \) and \( \vec{b} \) are proportional
D. Both the vectors \( \vec{a} \) and \( \vec{b} \) have same direction, but different magnitude.
| 2 |
Maths
|
\( \lim _{n \rightarrow \infty} \frac{1}{n^{3}}\left[\left(1^{2}+2^{2}+\ldots+n^{2}\right)\right]=? \)
A . \( 1 / 3 \)
B. 1/16
c. \( 1 / 12 \)
D.
| 2 |
Maths
|
An atom has 7 electrons in its \( \mathrm{M} \) - shell
and contains 18 neutrons in its nucleus.
What is its mass number
A . 22
B. 30
\( c . \) 35
D. 45
| 1 |
Chemistry
|
Octet rule was given by
A. Rutherford
B. Soddy
c. Lewis \& Kossel
D. none of the above
| 1 |
Chemistry
|
A radio station transmits waves of
wavelength \( 400 \mathrm{m} \). If the speed of the waves is \( 4 \times 10^{8} m s^{-1} \), Find the
frequency of the radio station
\( \mathbf{A} \cdot 1 \mathrm{MHz} \)
в. 2 МНz
c. 4 Мнz
D. 5 Мнд
| 3 |
Physics
|
Short / Long Answer Types:
Explain the major steps of glycolysis. Where does this process occur in a cell?
| 0 |
Biology
|
If \( A B C D \) is a parallelogram, \( A B= \) \( \mathbf{2} \hat{\mathbf{i}}+\mathbf{4} \hat{\mathbf{j}}-\mathbf{5} \hat{\boldsymbol{k}} \) and \( \boldsymbol{A} \boldsymbol{D}=\hat{\boldsymbol{i}}+\mathbf{2} \hat{\boldsymbol{j}}+\mathbf{3} \hat{\boldsymbol{k}} \)
then the unit vectors in the direction of
\( B D \) is
A \( \cdot \frac{1}{\sqrt{69}}(\hat{i}+2 \hat{j}-8 \hat{k}) \)
B \( \cdot \frac{1}{69}(\hat{i}+2 \hat{j}-8 \hat{k}) \)
c. \( \frac{1}{\sqrt{69}}(-\hat{i}-2 \hat{j}+8 \hat{k}) \)
D \( \cdot \frac{1}{69}(-\hat{i}-2 \hat{j}+8 \hat{k}) \)
| 3 |
Physics
|
Discuss the applicability of Rolle's
theorem for the following function on the indicated interval:
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x}^{2 / 3} \) on [-1,1]
| 2 |
Maths
|
A beam of width \( t \) is incident at 45 o on
air-water boundary. The width of the
beam in water is
| 3 |
Physics
|
Value of \( c \) of Rolles theorem for \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \sin x-\sin 2 x \) on \( [0, \pi] \)
\( ^{\mathbf{A}} \cdot \cos ^{-1}\left(\frac{1+\sqrt{33}}{8}\right) \)
B. \( \cos ^{-1}\left(\frac{1+\sqrt{35}}{8}\right) \)
\( ^{\mathbf{c}} \cdot \cos ^{-1}\left(\frac{1-\sqrt{38}}{5}\right) \)
D. does not exist
| 2 |
Maths
|
In a given process on an ideal gas \( d W=0 \) and \( d Q<0, \) then for the gas :
A. The temperature will decrease
B. The volume will increase
C. The pressure will remain constant
D. The temperature will increase
| 1 |
Chemistry
|
A man can swim with a speed of 4.0 \( k m / h r \) in still water. How long does
he take to cross a river \( 1.0 \mathrm{km} \) wide, if
the river flows steadily at \( 3.0 \mathrm{km} / \mathrm{hr} \) and he makes his strokes normal to the
river current? How far down the river
does he go, when he reaches the other bank?
| 3 |
Physics
|
Find how the tangential acceleration \( \omega_{\tau} \)
of the balloon depends on the height of
ascent.
A \( \cdot_{\omega_{\tau}}=\frac{2 a^{2} y}{\sqrt{1+\left(\frac{a y}{v_{0}}\right)^{2}}} \)
B. \( _{\omega_{\tau}}=\frac{a^{2} y}{\sqrt{1+\left(\frac{a y}{v_{0}}\right)^{2}}} \)
\( ^{\mathbf{c}} \cdot_{\omega_{\tau}}=\frac{a^{2} y}{\sqrt{1+\left(\frac{2 a y}{v_{0}}\right)^{2}}} \)
D. \( \omega_{\tau}=\frac{a^{2} y}{2 \sqrt{1+\left(\frac{a y}{v_{0}}\right)^{2}}} \)
| 3 |
Physics
|
Evaluate the following determinant:
\( \left|\begin{array}{lll}a & h & g \\ h & b & f \\ g & f & c\end{array}\right| \)
| 2 |
Maths
|
Which of the following is least reactive?
A. White phosphorus
B. Yellow phosphorus
c. Red phosphorus
D. Black phosphorus
| 1 |
Chemistry
|
IUPAC name of hydroxybutyraldehyde is
A. 1-hydroxybutanal
B. 2-hydroxybutanol
c. 2-Hydroxybutanal
D. 2-hydroxybutyraldehyde
| 1 |
Chemistry
|
The angle between two vectors \( \vec{A}= \) \( 4 \hat{i}+3 \hat{j}-2 \hat{k} \) and \( \vec{B}=-8 \hat{i}-6 \hat{j}+4 \hat{k} \) is
\( \mathbf{A} \cdot \pi / 4 \)
в. \( \pi / 3 \)
\( c \)
D. \( \pi / 2 \)
| 3 |
Physics
|
Write about Gabriel phthalimide synthesis?
| 1 |
Chemistry
|
The axial endoskeleton of
Elasmobranchs is made up of
A. Cartilage
B. Ossified cartilage
c. Bone
D. Hyaline cartilage
| 0 |
Biology
|
A planet of mass \( 3 \times 10^{29} \mathrm{gm} \) moves
around a star with a constant speed of
\( 2 \times 10^{8} m s^{-1} \) in a circle of radii \( 1.5 \times \)
\( 10^{12} \mathrm{m} . \) The gravitational force exerted
on the planet by the star is
A \( .6 .67 \times 10^{22} \) dyne
B . \( 6.67 \times 10^{26} \) N
c. \( 8 \times 10^{26} \mathrm{N} \)
D. \( 8 \times 10^{27} \) dyne
| 3 |
Physics
|
What is glycolysis? Sketch the pathway showing different stages in glycolysis.
| 0 |
Biology
|
A South pole and North pole of each strength 'm' are placed at the two corners of an equilateral triangle of side 'a'. The resultant magnetic induction field
strength at the third vertex is :
A. o (zero)
в. \( \frac{2 \mu_{0}}{4 \pi} \frac{m}{d^{2}} \)
c. \( \frac{\mu_{0}}{4 \pi} \frac{m}{d^{2}} \)
D. \( \frac{3 \mu_{0}}{4 \pi} \frac{m}{d^{2}} \)
| 3 |
Physics
|
Let \( f \) be a function defined for all \( \boldsymbol{x} \boldsymbol{\epsilon} \boldsymbol{R} \)
If \( f \) is differentiable and \( f\left(x^{3}\right)=x^{5} \) for
all \( \boldsymbol{x} \boldsymbol{\epsilon} \boldsymbol{R}(\boldsymbol{x} \neq \boldsymbol{0}) \) then the value of
\( \boldsymbol{f}^{\prime}(\mathbf{2 7}) \) is
A . 15
B. 45
c. 0
D. None
| 2 |
Maths
|
Two oxidation states for chlorine are
found in the compound?
| 1 |
Chemistry
|
Chlorine has a slight sour taste due to acidic nature.
A . True
B. False
| 1 |
Chemistry
|
Which of the following material can not undergo rapid combustion?
A. woodd
B. Petrol
c. Paper
D. Match stick
| 1 |
Chemistry
|
Cod liver oil is:
A. fat dispersed in water
B. water dispersed in fat
C . water dispersed in oil
D. fat dispersed in fat
| 1 |
Chemistry
|
Due to an electric dipole shown in fig., the
electric field intensity is parallel to dipole
axis
\( A \cdot \) at \( P \) only
B. at Qonly
c. both at \( P \) and at \( Q \)
D. neither at \( P \) nor at \( Q \)
| 3 |
Physics
|
For any two events \( A \) and \( B \)
\( \mathbf{A} \cdot P(A)+P(B)>P(A \cap B) \)
B \( \cdot P(A)+P(B)<P(A \cap B) \)
\( \mathbf{c} \cdot P(A)+P(B) \geq P(A \cap B) \)
D \( . P(A)+P(B) \leq P(A \cap B) \)
| 2 |
Maths
|
If \( a=\frac{(3 i+1)}{10} \) and \( b=(2 i+3) \times 10 \), then
the value of \( (2 a b) \) is
| 2 |
Maths
|
The correct hierarchical order with
respect to the level of organization in animals is
A. Organ system, organ, tissue, cell
B. Cell, tissue, organ, organ system
C. Tissue, cell, organ, organ system
D. Cell, organ, organ system, tissue
| 0 |
Biology
|
If Avogadro's number have been \( 1 \times \)
\( 10^{10} \) instead of \( 6.02 \times 10^{23}, \) then
the mass of one atom of \( H \) in a.m.u.
would have been
| 1 |
Chemistry
|
The precipitating agent used in the estimation of sulphur is:
A. barium sulphate
B. calcium sulphate
c. barium chloride
D. calcium chloride
| 1 |
Chemistry
|
The specific resistance of the material
of a wire is \( \rho, \) its volume is \( 3 m^{3} \) and its
resistance is \( 3 \Omega \). The length of the wire will be
A \( \cdot \frac{\sqrt{1}}{\rho} \)
B. \( \frac{3}{\sqrt{\rho}} \)
c. \( \frac{1}{\rho} \sqrt{3} \)
D. \( \rho \sqrt{\frac{1}{3}} \)
| 3 |
Physics
|
Which of the following processes carries food through the digestive
tract?
A. Peristalsis
B. Resorption
c. Pinocytosis
D. Neurotransmitters
| 0 |
Biology
|
The term hydroponic was coined by
A. Sachs
B. Gericke
c. Pristely
D. None of the above
| 0 |
Biology
|
The important function of lymph is to?
| 0 |
Biology
|
Available chlorine can be liberated from
bleaching powder by the reaction with:
This question has multiple correct options
A \( \cdot \) conc. \( H_{2} S O_{4} \)
в. \( d i l . H_{2} S O_{4} \)
\( c \cdot C O_{2} \)
D. \( d i l . H N O_{3} \)
| 1 |
Chemistry
|
If \( \boldsymbol{A}=\{1,2,3,4\}, \) what is the number of
subsets of A with at least three
elements?
\( \mathbf{A} \cdot \mathbf{3} \)
B. 4
\( c .5 \)
D. 10
| 2 |
Maths
|
Evaluate: \( \tan ^{-1}\left[2 \cos \left(2 \sin ^{-1}\left(\frac{1}{2}\right)\right)\right]= \)
- Find a
\( A \cdot 4 \)
B. 5
\( c \cdot 6 \)
\( D \)
| 2 |
Maths
|
For any two complex numbers \( z_{1} \) and \( z_{2} \) with \( \left|z_{1}\right| \neq\left|z_{2}\right|,\left|\sqrt{2} z_{1}+i \sqrt{3} \overline{z_{2}}\right|^{2}+ \)
\( \left|\sqrt{3} \overline{z_{1}}+i \sqrt{2} z_{2}\right|^{2} \) is
A \( \cdot \) Less than \( 5\left(\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2}\right) \)
B \cdot Greater than \( 10 \mid z_{1} z_{2} \)
c. Equal to \( \left(2\left|z_{1}\right|^{2}+3\left|z_{2}\right|^{2}\right) \)
D. zero
| 2 |
Maths
|
Write the constant term of each of the
following algebraic expressions: \( a^{3}- \) \( 3 a^{2}+7 a+5 \)
| 2 |
Maths
|
State whether given statement is True/False?
Lightning conductor is made up of
copper.
A. True
B. False
| 3 |
Physics
|
Draw the number line and represent the following rational numbers on it:
\( \frac{-3}{16} \)
| 2 |
Maths
|
Body of lichen consists of two dissimilar organisms. Choose the correct option w.r.t. component which
form bulk of the thallus
A. Autotrophic component
B. Prepare food for fungi
c. Form sexual reproductive structure
D. Provide belongs to ascomycetes or sometimes
| 0 |
Biology
|
\( \begin{array}{lll}\text { Weight (Kg) } & \text { Frequency } \\ \text { 60 up to 70 } & 13 \\ \text { 70up to 75 } & 2 \\ \text { 75 up to 95 } & 45 \\ \text { 95 up to 100 } & \text { 7 }\end{array} \)
Given the table above, find the modal
class.
\( A \cdot 70 \) up to 75
\( B .75 \) up to 95
\( \mathbf{C} \cdot 60 \) up to 70
D. 95 up to 100
| 2 |
Maths
|
The arithmatic mean of 4,6,8 is
\( A \cdot 4 \)
B. 6
\( c .8 \)
D. 4.5
| 2 |
Maths
|
\( \int x^{2}\left(1-\frac{1}{x^{2}}\right) d x \)
| 2 |
Maths
|
Write short note on retina.
| 0 |
Biology
|
Electrolysis of dilute aqueous \( \mathrm{NaCl} \) solution was carried out by passing 10 milli ampere current. The time required
to liberate 0.01 mol of \( \mathbf{H}_{2} \) gas at the
cathode is (1 Faraday \( =\mathbf{9 6 5 0 0 C} \) mol \( ^{-1} \) )
A \( \cdot 9.65 \times 10^{4} \mathrm{sec} \)
B . \( 19.3 \times 10^{4} \mathrm{sec} \)
c. \( 28.95 \times 10^{4} \) sec
D. \( 38.6 \times 10^{4} \mathrm{sec} \)
| 1 |
Chemistry
|
Fill in the blank.
When a force is applied on a soft object,it changes the of
the object.
A. Shape
B. Size
c. Direction of force
D. Both a and
| 3 |
Physics
|
A. Its main component is methane and
is used as a fuel in motor cars.
B. It is used as the raw material for
manufacturing of fertilizers.
C. It is an inexhaustible natural source.
\( A \cdot A, B \)
B. \( B, C \) and \( D \)
\( c \cdot c, D \) and \( A \)
\( D \cdot D, A \) and \( B \)
| 1 |
Chemistry
|
If number of electrons in an atom is 8
and number of protons is also \( 8, \) then
\( (i) \)
what is the atomic number of the atom
? and
(II) what is the charge on the
atom?
| 1 |
Chemistry
|
In an organism, if the normal diploid number of chromosomes is \( 8, \) how
many chromatids are present in each
daughter cell at the end of meiosis I?
\( A \cdot 2 \)
B. 4
\( c \cdot 8 \)
\( D \cdot 16 \)
| 0 |
Biology
|
In which of the following molecules, central atom used orbitals of different quantum number in the hybridisation :-
\( \mathbf{A} \cdot\left[F e(C O)_{5}\right] \)
в. \( I F_{7} \)
c. \( N i(C O)_{4} \)
D. \( X e O_{4} \)
| 1 |
Chemistry
|
A student sitting in the last row of the class-room is not able to read clearly
the writing on the blackboard.
(I) Name the type of defect he suffering from.
(II) How can these defect by corrected?
| 3 |
Physics
|
Find the value of \( \frac{\boldsymbol{a}+\boldsymbol{b}-\boldsymbol{c}}{\mathbf{2} \boldsymbol{a}} \) when \( \boldsymbol{a}= \)
\( \mathbf{5}, \boldsymbol{b}=\mathbf{7} \) and \( \boldsymbol{c}=\mathbf{2} \)
| 3 |
Physics
|
Draw the Lewis structure for \( C O_{3}^{2-} \)
| 1 |
Chemistry
|
A light moves from denser to rarer medium, which of the following is
correct?
A. Energy increases
B. Frequency increases
C. Phase changes by \( 90^{\circ} \)
D. Velocity increases
| 3 |
Physics
|
The \( I-V \) characteristics of a metal
wire at two different temperatures \( \left(T_{1}\right. \)
and \( T_{2} \) ) are given in the adjoining
figure. Here, we can conclude that:
\( A \cdot T_{1}>T_{2} \)
в. \( T_{1}<T_{2} \)
\( c \cdot T_{1}=T_{2} \)
D \( \cdot T_{1}=2 T_{2} \)
| 3 |
Physics
|
A concave spherical surface of radius of
curvature \( 10 \mathrm{cm} \) separates two
medium \( \boldsymbol{x} \) \& \( \boldsymbol{y} \) of refractive index \( 4 / 3 \& \)
\( 3 / 2 \) respectively. If the object is placed
along principal axis in medium \( X \) then:
A. image is always real
B. image is real if the object distance is greater than 90 \( \mathrm{cm} \)
C. image is always virtual
D. image is virtual if the object distance is less than 90 \( \mathrm{cm} \)
| 3 |
Physics
|
Which of the following reacts with water
and aqueous solution become acidic \( \boldsymbol{S} \boldsymbol{i} \boldsymbol{C l}_{4} \) or \( \boldsymbol{C C l}_{4} ? \)
| 1 |
Chemistry
|
Write a relation for polarisation \( \vec{P} \) of \( a \) dielectric material in the presence of an external electric field \( \vec{E} \).
| 3 |
Physics
|
Which one of the following compounds is heated with slaked lime to produce ammonia?
A \( . N H_{4} C l \)
в. \( N a N O_{3} \)
c. \( K N O_{3} \)
\( \mathbf{D} \cdot C a\left(N O_{3}\right)_{2} \)
| 1 |
Chemistry
|
Find the values of \( a \) for which the
function \( f(x)=\sin x-a x+4 \) is
increasing function on \( \boldsymbol{R} \)
| 2 |
Maths
|
A small metallic sphere carrying charge \( +Q \) is located at the center of a
spherical cavity in a large uncharged metallic spherical shell. Write the charges on the inner and outer surfaces of the shell. Write the expression for the electric field at some point outside and inside the metallic sphere.
| 3 |
Physics
|
The term \( B W R \) stands for
A. Bureau of Workers Rights
B. Boiling Water Reactor
c. Bilateral Water Reactor
D. Bureau of Waste Research
| 3 |
Physics
|
Determine the difference \( L_{1}-L_{2}(= \)
\( \Delta L) \) in terms of \( \lambda_{0} \)
A \( \frac{4 \lambda_{0}}{\mu} \)
в. \( \frac{7 \lambda_{0}}{2 \mu} \)
\( c \cdot \frac{3 \lambda_{0}}{\mu} \)
D. none of the above
| 3 |
Physics
|
The G.M. of the numbers \( a+\sqrt{a^{2}-b^{2}} \)
and \( a-\sqrt{a^{2}-b^{2}}, \) is
\( A \)
B. \( b \)
\( c \cdot a b \)
D. \( \sqrt{a^{2}+b^{2}} \)
| 2 |
Maths
|
If \( A \) is an invertible matrix of order \( n \)
then the determinant of adj \( A \) is equal
to:
\( \mathbf{A} \cdot|A|^{n} \)
В \( \cdot|A|^{n+1} \)
c. \( |A|^{n-1} \)
D. \( |A|^{n+2} \)
| 2 |
Maths
|
Figure shows a square loop of side \( 5 \mathrm{cm} \)
being moved towards right at a
constant speed of \( 1 \mathrm{cm} / \mathrm{sec} \). The front
edge just enters the \( 20 \mathrm{cm} \) wide
magnetic field at \( t=0 . \) Find the
induced emf in the loop at \( t=2 s \) and
\( t=10 s \)
| 3 |
Physics
|
If the hypotenuse and one of the other two sides of a right angles triangle are equal to the hypotenuse and one of the sides of the other right-angled triangle respectively, then the two right-angled triangles are
A. congruent
B. unequal
c. equilateral
D. None of the these
| 2 |
Maths
|
Hydrocarbon derivatives is:
A. compounds formed by replacing one or more hydrogen atoms of the corresponding hydrocarbon with another atom or a group of atoms.
B. compounds formed by replacing one or more carbon atoms of the corresponding hydrocarbon with another atom or a group of atoms.
C. compounds formed by replacing one or more functional group of the corresponding hydrocarbon with another atom or a group of atoms.
D. Both A and B
| 1 |
Chemistry
|
A light of wavelength \( \lambda \) is incident on
a metal sheet of work function \( \phi=2 e V \)
The wavelength \( \lambda \) varies with time as
\( \lambda=3000+40 t, \) where \( \lambda \) is in and \( t \) is in
second. The power incident on metal sheet is constant at 100 W. This signal is switched on and off for time intervals
of 2 minutes and 1 minute respectively.
Each time the signal is switched on, the
\( \lambda \) start from an initial value of \( 3000 . \) The
metal plate is grounded and electron clouding is negligible. The efficiency of photoemission is \( 1 \%(h c=12400 e V) \)
The time after which photo-emission will stop is
A. 79 s
B. 80 s
c. \( 81 \mathrm{s} \)
D. 78 s
| 3 |
Physics
|
What do you mean by reflection?
| 3 |
Physics
|
List the criteria a molecule that can act
as genetic material must fulfill. Which one of the criteria are best fulfilled by
DNA or by RNA thus making one of them a better genetic material than the other?
| 0 |
Biology
|
The reactivities of these ions in azo-
coupling reactions will be in the order:
\( \mathbf{A} \cdot 3<1<4<2 \)
В. \( 1<4<2<3 \)
c. \( 1<2<3<4 \)
D. \( 3<1<2<4 \)
| 1 |
Chemistry
|
At Curie temperature, in ferromagnetic
materials
A. the atomic dipoles get aligned
B. the atomic dipoles remains stationary
C. the atomic dipoles lose alignment
D. magnetism is zero
| 3 |
Physics
|
In elastic collision, \( A \) is conserved while
in inelastic collision \( B \) is conserved.
I.Momentum
II.Kinetic Energy
III.Potential Energy
A. \( A= \) ।, ॥ \( B=1, \) II
в. \( A= \) ।, ॥ \( B=1 \)
c. \( A=\| \) \( B= \) ॥, ॥ ॥
D. \( A=\| \) \( B=1, \) II
| 3 |
Physics
|
The atom is made of 3 subatomic
particles. The subatomic particle found in the nucleus with a positive charge is
| 1 |
Chemistry
|
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