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A man is standing on a boat in still water. If he walks towards the shore the
boat will
A. Move away from the shore
B. Remain stationary
c. Move towards the shore
D. sink
| 3 |
Physics
|
A common example of precession is
\( A \cdot a \) spinning top
B. a ball bearing
C. a ball rolling down an inclined plane
D. a ball sliding down an inclined plane
| 3 |
Physics
|
Algae which form motile colony is
A. Volvox
B. Nostoc
c. spirogyra
D. chlamydomonas
| 0 |
Biology
|
Two squares have sides \( x \mathrm{cm} \) and \( (x+5) \)
cm. The sum of their areas is 697 sq.cm.
Express this as an algebraic equation \( \operatorname{in} x \)
| 2 |
Maths
|
Theo bakery sells red velvet cakes and
cheese cakes in boxes of 12 at a cost of
\( \$ 15 \) per box of red velvet and \( \$ 9 \) per box
of cheese cakes. On Monday and Tuesday, the shop earned \( \$ 396 \) by selling a total of 46 boxes of these two
items. If \( r \) and \( l \) represent the number of
boxes of red velvet and cheese cakes
respectively, which of the following systems of equations could be used to
find the number of boxes of each type of item sold?
\( \mathbf{A} \cdot r+l=46 \)
\[
15 r+9 l=396
\]
B . \( r+l=12 \times 46 \)
\[
15 r+9 l=396
\]
\( \mathbf{c} \cdot r+l=46 \)
\[
15 r+9 l=\frac{396}{2}
\]
D. \( r+l=46 \times 12 \)
\( 15 r+9 l=\frac{396}{12} \)
| 2 |
Maths
|
Prove that \( \frac{\left(1+\cot ^{2} \theta\right) \tan \theta}{\sec ^{2} \theta}=\cot \theta \)
| 2 |
Maths
|
Refractive index of glass relative to
water is \( 9 / 8 . \) What is the refractive index of water relative to glass?
| 3 |
Physics
|
ABCD is a square \( P, Q \) and \( R \) are the points on \( A B, B C \) and \( C D \) respectively;
such that \( A P=B Q=C R \)
Hence, \( P B=Q C \)
If the above statement is true then
mention answer as 1 , else mention 0 if
false
| 2 |
Maths
|
Only a diamond cuts another diamond.
A. True
B. False
| 1 |
Chemistry
|
A cyclist riding the bicycle at a speed of \( 14 \sqrt{3} m s^{-1}, \) takes a turn around a circular of radius \( 20 \sqrt{3} m, \) without
skidding. Given \( g=9.8 m s^{-2}, \) what is
his inclination to the vertical?
A . \( 30^{\circ} \)
B. \( 90^{\circ} \)
\( c \cdot 45^{\circ} \)
D. \( 60^{\circ} \)
| 3 |
Physics
|
Many hundred years ago, a ship was transporting calcium carbide and calcium phosphide (stored in different container). By chance sea-water entered sea and luminous flame appeared a ghost would have come. However, a chemist travelling in it explained it based on reactions. These reactions are \( \underset{\text { Calcium }}{\boldsymbol{C a C}_{2}}+\mathbf{6 H}_{2} \boldsymbol{O} \longrightarrow \)
\( \boldsymbol{C a}(\boldsymbol{O H})_{2}+ \)
\( \underset{\text { Acetylene }}{C_{2} H_{2}} \quad_{\text {Calcium phosphide }}+ \)
\( \mathbf{6} \boldsymbol{H}_{2} \boldsymbol{O} \longrightarrow \mathbf{3} \boldsymbol{C} \boldsymbol{a}(\boldsymbol{O} \boldsymbol{H})_{2}+\underset{\boldsymbol{P h o s p h i n e}}{\boldsymbol{2 P H}_{\boldsymbol{e}}} \)
A. True
B. False
| 1 |
Chemistry
|
Use Euclids division lemma to show
that the cube of any positive integer is of the form \( 9 m, 9 m+1 \) or \( 9 m+8 \)
| 2 |
Maths
|
Angle of incidence is the angle between
and the
| 3 |
Physics
|
Assertion
Coal is a fossil fuel.
Reason
It is formed due to compression of
inorganic material over millions of
years.
A. Both Assertion and Reason are correct and the Reason is the correct explanation of the Assertion
B. Both Assertion and Reason are correct but the Reason is not the correct explanation of the Assertion
C. The Assertion is correct but the Reason is incorrect
D. The Assertion is incorrect and the Reason is correct
| 1 |
Chemistry
|
Find the incorrectly matched pair.
| 1 |
Chemistry
|
Find the equation of the ellipse with
centre at the origin, one vertex at \( (\mathbf{4}, \mathbf{0}) \) and which passes through the point \( P \) \( \left(2, \frac{\sqrt{3}}{2}\right) \)
| 2 |
Maths
|
Mac Arthur process is used for the extraction of:
A . \( A u \)
в. \( P t \)
c. \( C u \)
D. \( Z n \)
| 1 |
Chemistry
|
Draw labelled circuit diagram of a
potentiometer to compare emfs of two
cells.
Write the working formula (Derivation not required)
| 3 |
Physics
|
Joule's experiment converts
A. work into heat
B. work into electricity
C. heat into work
D. electricity into work
| 1 |
Chemistry
|
The wave function for \( 1 s \) orbital of the
hydrogen atom is given by
\[
\mathbf{\Psi}_{1 s}=\frac{\boldsymbol{\pi}}{\sqrt{\mathbf{2}}} \boldsymbol{e}^{-\boldsymbol{r} / \boldsymbol{a}_{0}}
\]
where \( a_{0}= \) Radius of first Bohr orbit \( r= \) Distance from the nucleus
(Probability of finding the electron varies with respect to it)
What will be the ratio of probabilities of finding the electrons at the nucleus to
first Bohr's orbit \( a_{0} ? \)
\( A \)
B \( \cdot e^{2} \)
\( c \cdot 1 / e^{2} \)
D. zero
| 1 |
Chemistry
|
A \( 50 k g \) skydiver falls through the air and reaches terminal velocity after
some time. The drag force is a function of velocity given by
\[
\boldsymbol{F}_{d r a g}=-\boldsymbol{b} \boldsymbol{v}^{2}
\]
where the negative sign denotes that the drag force is opposite to the direction of the velocity. What is the terminal velocity of the
skydiver (assuming the drag constant \( b \)
is \( 0.2 k g / m \) )?
A \( \cdot 5 \frac{m}{s} \)
B.
\[
50 \frac{m}{s}
\]
\( c \)
\[
100 \frac{m}{s}
\]
D.
\[
250 \frac{m}{s}
\]
E
\[
2500 \frac{m}{s}
\]
| 3 |
Physics
|
The sum of the series \( \frac{1}{2}+\frac{1}{3}+\frac{1}{6}+ \)
to 9 terms be \( k . \) Find \( -2 k \)
| 2 |
Maths
|
Which of the following bacteria is observed as chain-like formation?
A. Escherichia coli
B. Bacillus subtilis
c. streptococcus phosphatase
D. Micrococcus flavus
| 0 |
Biology
|
Sum the series \( 1^{3}+3^{3}+5^{3}+\dots \dots \dots \)
to \( n \) terms is
A \( \cdot n^{2}\left(2 n^{2}-1\right) \)
В \( \cdot n\left(2 n^{2}-1\right) \)
c. \( n\left(2 n^{2}+1\right) \)
D \cdot \( n^{2}\left(2 n^{2}+1\right) \)
| 2 |
Maths
|
From point \( A \) located on a highway, one
has to get by a car as soon as possible to point \( B \) located in the field at a
distance \( l \) from point \( D . \) If the car
moves \( n \) times slower in the field, at
what distance \( x \) from \( D \) one must turn
off the highway.
A \( \cdot x=\frac{l}{\sqrt{n^{3}-1}} \)
B. \( x=\frac{l}{\sqrt{n^{2}-1}} \)
c. \( _{x}=\frac{l}{\sqrt{n^{3}-2}} \)
D. \( x=\frac{l}{\sqrt{n^{2}-2}} \)
| 3 |
Physics
|
If \( y=e^{\left(x^{2}+2 \sin x\right)}, \) then \( \frac{d y}{d x} i s \)
\( \mathbf{A} \cdot e^{\left(x^{2}-2 \sin x\right)} \)
\( \mathbf{B} \cdot e^{\left(x^{2}+2 \sin x\right)} \times(2 x+2 \sin x) \)
C \( \cdot e^{\left(x^{2}+2 \sin x\right)} \times(2 x+2 \cos x) \)
\( \mathbf{D} \cdot e^{x} \)
| 2 |
Maths
|
With the help of appropriate ray diagram, state the sign conventions for reflection by spherical mirror.
| 3 |
Physics
|
Which of the following gases on dissolution in water make the solution
acidic?
This question has multiple correct options
A. \( c o \)
в. \( C O_{2} \)
\( c \cdot S O_{3} \)
D. \( P H_{3} \)
| 1 |
Chemistry
|
In stretching a spring by \( 2 \mathrm{cm} \) energy
stored is given by \( U, \) then stretching by
\( 10 \mathrm{cm} \) energy stored will be :
A. \( U \)
B. \( 5 U \)
c. \( \frac{U}{25} \)
D. 25U
| 3 |
Physics
|
Ordinary gasoline (petrol) that is used as fuel cars, scooters and automobiles
contain many different chemicals that
are added in small quantities, each performing an important role. Some of these are mentioned here. Which of the
option is false?
A. Soaps used for removing particles of grease from petrol tanks ensure a free flow of petrol
B. Anti-icing agents are used for depressing the freezing point of particles of ice
C. Anti-rust agents are used for protecting against corrosion by water
sticking on the walls of the carbureter
| 1 |
Chemistry
|
If \( \boldsymbol{A} \times \boldsymbol{B}= \)
\( \{(3, a),(3,-1),(3,0),(5, a),(5,-1),(5 \)
find \( \boldsymbol{A} \)
A \( \cdot\{a, 5\} \)
в. \( \{a,-1\} \)
c. \{0,5\}
D. \{3,5\}
| 2 |
Maths
|
The electric field intensity at a point near and outside the surface of a
charged conductor of any shape is ' \( \boldsymbol{E}_{1} \) :
The electric field intensity due to uniformly charged infinite thin plane
sheet is ' \( E_{2} \) '. The relation between ' \( E_{1} \) ?
and ' \( \boldsymbol{E}_{2} \) ' is :
A \( \cdot 2 E_{1}=E_{2} \)
в. \( E_{1}=E_{2} \)
\( \mathbf{c} \cdot E_{1}=2 E_{2} \)
D. \( E_{1}=4 E_{2} \)
| 3 |
Physics
|
ff \( \boldsymbol{x}=\mathbf{1}+\boldsymbol{a}+\boldsymbol{a}^{2}+\boldsymbol{a}^{3}+\ldots \) and \( \boldsymbol{y}= \)
\( 1+b+b^{2}+b^{3}+\ldots ., \) then show that \( \mathbf{1}+\boldsymbol{a} \boldsymbol{b}+\boldsymbol{a}^{2} \boldsymbol{b}^{2}+\boldsymbol{a}^{3} \boldsymbol{b}^{3}+\ldots=\frac{\boldsymbol{x} \boldsymbol{y}}{\boldsymbol{x}+\boldsymbol{y}-\mathbf{1}} \)
| 2 |
Maths
|
f \( \boldsymbol{A}=(-\mathbf{3}, \mathbf{4}), \boldsymbol{B}=(-\mathbf{1},-\mathbf{2}), \boldsymbol{C}= \)
\( (\mathbf{5}, \mathbf{6}), \boldsymbol{D}=(\boldsymbol{x},-\mathbf{4}) \) are vertices of \( \mathbf{a} \)
quadrilateral such that \( \Delta A B D= \)
\( 2 \Delta A C D . \) Then \( x, \) is equal to:
\( \mathbf{A} \cdot \mathbf{6} \)
B. 9
\( c \cdot 69 \)
D. 96
| 2 |
Maths
|
The number of ways of arranging the letters \( \boldsymbol{A A A A A}, B B B, C C C, D, E E \& \)
\( F \) in a row if no two \( ^{\prime} C^{\prime} s \) are together:
\( ^{\mathbf{A}} \cdot_{13} C_{3} \cdot \frac{12 !}{5 ! 3 ! 2 !} \)
в. \( \frac{13 !}{5 ! 3 ! 3 ! 2 !} \)
c. \( \frac{14 !}{5 ! 3 ! 2 !} \)
D. \( 11 . \frac{13 !}{6 !} \)
| 2 |
Maths
|
A \( 30.0 \mathrm{kg} \) hammer, moving with speed speed \( 20.0 m s^{-1}, \) strikes a steel Spike
\( 2.30 \mathrm{cm} \) in diameter. The hammer
rebounds with speed \( 10.0 \mathrm{ms}^{-1} \) after
0.110 s.What is the average Strain in the Spike during the impact?
| 3 |
Physics
|
Which of the following is in correct
order?
\( \mathbf{A} \cdot S b H_{3}<N H_{3}<A s H_{3}<P H_{3}(\text { Boling point }) \)
B . \( N-H<P-H<A s-H<S b-H \) (Bond
dissociation enthalpy)
\( \mathbf{C} \cdot N H_{3}>P H_{3}>A s H_{3}>S b H_{3}>B i H_{3} \) (Thermal
stability）
\( \mathbf{D} \cdot S b_{2} O_{5}>A s_{2} O_{5}>P_{2} O_{5}>N_{2} O_{5} \) (Acidic strength)
| 1 |
Chemistry
|
Which of the following statement(s)
is/are true about holes?
A. They flow from positive terminal to negative terminal
B. They flow from negative terminal to positive terminal
C. They do not flow
D. None of these
| 3 |
Physics
|
Find the diffrentiation of \( x \sin x \)
| 2 |
Maths
|
Write ionic equations for the reaction of
dichromate ions with
i) hydroxyl ions
ii) \( F e^{+2} \) ions in Acidic medium
In which one of the above two reactions
will the oxidation number of chromium
remains unchanged?
| 1 |
Chemistry
|
Elements \( A, B \) and \( C \) belong to the same period in the long form of the periodic table. The nature of the oxides of \( A, B \)
and \( \mathrm{C} \) is amphoteric, basic and acidic respectively. The correct order of the
atomic numbers of these elements is:
A. \( C>B>A \)
в. \( C>A>B \)
c. \( A>B>C \)
D. \( B>A>C \)
| 1 |
Chemistry
|
Which one of the following corresponds to a photon of highest energy?
A \( . \lambda=300 n m \)
В . \( v=3 \times 10^{8} s^{-1} \)
c. \( v=30 c m^{-1} \)
D . \( \varepsilon=6.626 \times 10^{-27} J \)
| 1 |
Chemistry
|
Which of the following gas is formed at the electrode connected to the negative
terminal of the battery?
A. Nitrogen gas
B. Hydrogengas
c. oxygen gas
D. carbon dioxide gas
| 1 |
Chemistry
|
Verify LMVT :
\( \boldsymbol{f}(\boldsymbol{x})=\frac{\boldsymbol{x}+\mathbf{1}}{\boldsymbol{x}} \) for \( \boldsymbol{x}=[\mathbf{1}, \boldsymbol{3}] \)
| 2 |
Maths
|
What is the displacement of the crosscountry team if they begin at the school
run 10 miles and finish back at the
school?
| 3 |
Physics
|
The value of \( ^{\prime} n^{\prime} \) in the reaction is:
\( \boldsymbol{C r}_{2} \boldsymbol{O}_{\mathbf{7}}^{2-}+\mathbf{1 4} \boldsymbol{H}^{+}++\boldsymbol{n} \boldsymbol{F} \boldsymbol{e}^{2+} \rightarrow \)
\( 2 C r^{3+}+n F e^{3+}+7 H_{2} O \)
\( A \cdot 2 \)
B. 3
\( c \cdot 6 \)
D.
| 1 |
Chemistry
|
The 4 th term of an A.P. is zero. Prove that
the 25 th term of the A.P. is three times
its 11 th term.
| 2 |
Maths
|
If two mirrors are kept at \( 60^{0} \) to each other and a body is placed in the middle, then total number of images
formed is
A. Three
B. Four
c. Five
D. six
| 3 |
Physics
|
How many 3 digit numbers can be formed using the digits
0,1,2,3,4,5,6,7,8 where digits may be repeated?
A . 900
в. 980
c. 800
D. 250
| 2 |
Maths
|
\( \lim _{x \rightarrow 0} \frac{1-\cos x \cos 2 x \cos 3 x}{\sin ^{2} 2 x} \) is equal to
\( A \cdot 7 / 2 \)
в. \( 7 / 3 \)
\( c \cdot 7 / 4 \)
D. \( 7 / 5 \)
| 2 |
Maths
|
The value of \( 1+i^{2}+i^{4}+i^{6}+i^{8}+ \)
\( +i^{20} \) is :
| 2 |
Maths
|
Two metal spheres each of radius 'r' are kept in contact with each other. If d is
the density of the material of the sphere, then the gravitational force between those spheres is propositional
to
\( \mathbf{A} \cdot d^{2} r^{6} \)
B. \( d^{2} r^{4} \)
c. \( \frac{d^{2}}{r^{4}} \)
D. \( \frac{r^{4}}{d^{2}} \)
| 3 |
Physics
|
Neglecting the mass of the thread, find the time dependence of the
instantaneous power developed by the
gravitational force :
\( ^{\mathbf{A}} \cdot P=\frac{2}{3} m g^{2} t \)
B. \( P=\frac{3}{2} m g^{2} t \)
\( ^{\mathbf{C}} P=2 \frac{2}{3} m g^{2} t \)
D. \( P=2 \frac{3}{2} m g^{2} t \)
| 3 |
Physics
|
Which of the following is primarily an
ectotherm?
A. Pigeon
B. Camel
c. Lizard
D. Rabbit
| 0 |
Biology
|
The purine base present in RNA is:
A. guanine
B. thymine
c. cytosine
D. uraci
| 1 |
Chemistry
|
A particle of mass \( \mathrm{m} \) is performing simple harmonic motion along line AB with amplitude 2 a with centre of oscillation as \( 0 . \) At time \( t=0 \) particle is
at point \( C(O C=a) \) and is moving towards B with velocity \( \boldsymbol{v}=\boldsymbol{a} \sqrt{\mathbf{3}} \mathrm{m} / \mathrm{s} \)
The equation of motion can be given by This question has multiple correct options
A. \( x=2 a(\sin t+\sqrt{3} \cos t) \)
B \cdot \( x=2 a \sin \left(t+\frac{\pi}{6}\right) \)
c. \( x=a(\sin t+\sqrt{3} \cos t) \)
D. \( x=a(\sqrt{3} \sin t+\cos t) \)
| 3 |
Physics
|
In alcoholic fermentation
A. Triose phosphate is the electron donor, while acetaldehyde is the electron acceptor
B. Triose phosphate is the electron donor, while pyruvic acid is the electron acceptor.
C. There is no electron donor.
D. Oxygen is the electron acceptor
| 0 |
Biology
|
In which of the following pairs both members contain peroxy linkage?
A \( \cdot H_{2} S_{2} O_{8}, H_{4} P_{2} O_{6} \)
в. \( H_{2} S O_{5}, H_{4} P_{2} O_{7} \)
c. \( H_{2} T i O_{4}, H_{4} P_{2} O_{8} \)
D. \( S_{3} O_{9}, P_{4} O_{7} \)
| 1 |
Chemistry
|
Which of the following statement is
correct?
This question has multiple correct options
A . oxidizing power order: \( \operatorname{SiCl}_{4}<\operatorname{SnCl}_{4}<P b C l_{4} \)
B. Ionic character order: \( C s B r>R b B r>K B r>N a B r>L i B r \)
c. The ionic character of lead(II) halides decrease with the increase in atomic no. of halogen
D. The oxidation state of \( T l \) in \( T l I_{3} \) is +3
| 1 |
Chemistry
|
When \( p(x)=x^{3}+a x^{2}+2 x+a \) is
divided by \( (x+a), \) the remainder is
\( \mathbf{A} \cdot \mathbf{0} \)
B. \( a \)
\( c .-a \)
D. \( 2 a \)
| 2 |
Maths
|
The work function of a metal surface is 1
eV. A light of wavelength \( 3000 A^{0} \) is incident on it. The maximum velocity of the photo-electrons is nearly
\( \mathbf{A} \cdot 10^{6} m s^{-1} \)
B . \( 10^{4} m s^{-1} \)
c. \( 10^{2} m s^{-1} \)
D. \( 10 m s^{-1} \)
| 3 |
Physics
|
A student measures the terminal
potential difference (V) of a cell (of emf
\( \varepsilon \) and internal) resistance \( r \) as a
function of the current (I) flowing
through it. The slope and intercept of
the graph between \( V \) and \( I \), then respectively equal to:
\( \mathbf{A} \cdot-\in \) and \( r \)
B. \( \in \) and \( -r \)
c. \( -r \) and \( \epsilon \)
D. \( r \) and \( -\epsilon \)
| 3 |
Physics
|
Assertion
Let \( p<0 \) and \( \alpha_{1}, \alpha_{2}, \dots, \alpha_{9} \) be the nine
roots of \( \boldsymbol{x}^{\mathbf{9}}=\boldsymbol{p}, \) then
\( \boldsymbol{\Delta}=\left|\begin{array}{lll}\boldsymbol{\alpha}_{1} & \boldsymbol{\alpha}_{2} & \boldsymbol{\alpha}_{3} \\ \boldsymbol{\alpha}_{4} & \boldsymbol{\alpha}_{5} & \boldsymbol{\alpha}_{6} \\ \boldsymbol{\alpha}_{4} & \boldsymbol{\alpha}_{8} & \boldsymbol{\alpha}_{9}\end{array}\right|=0 \)
Reason
If two rows of a determinant are
identical, then determinant equals zero
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
| 2 |
Maths
|
Successful adaptation simply means
\( A \cdot \) an increase in fitness
B. moving to a new place
C . producing offspring
D. evolving new characteristics
| 0 |
Biology
|
Fill in the blanks:
In the game of tug-of-war, both the
teams pulls each other. So
A. force is applied due to interaction.
B. force is not applied although there is interaction
c. force is applied although there is an interaction.
D. none of the above
| 3 |
Physics
|
\( A, B \) and \( c \) can do a piece of work in 12 days, 15 days and 10 days respectively In what time will they all together finish it?
A. 6 days
B. 4 days
c. 8 days
D. 2 days
| 2 |
Maths
|
Which one of the following is an amphoteric oxide?
A. \( M n O_{2} \)
в. \( Z n O \)
\( c \cdot C a O \)
D. \( C O_{2} \)
| 1 |
Chemistry
|
Q Type your question-
tative cu titteratur ac a mgin \( n_{1} \)
above the floor of the elevator. After
making a collision with the floor of the
elevator it bounces to height \( h_{2} \). The
coefficient of restitution for collision is
e. For this situation, mark the correct
statement(s).
A . If elevator is moving down with constant velocity \( \nu_{0} \) then \( h_{2}=e^{2} h_{1} \)
B. If elevator is moving down with constant velocity \( \nu_{0} \) then \( h_{2}=e^{2} h_{1}-\frac{\nu_{0}^{2}}{2 g} \)
c. If elevator is moving with constant acceleration of \( g / 4 \) in upward direction, then impulse imparted by floor of the elevator to the ball is \( m(\sqrt{2 g h_{2}})+\sqrt{2 g h_{1}}+2 \nu_{0} \)
D. If elevator is moving with constant acceleration of \( g / 4 \) in upward direction, then it is not possible to determine a reaction between \( h_{1} \) and \( h_{2} \) from the given information.
| 3 |
Physics
|
2p orbitals have:
A \( . n=1, l=2 \)
B. \( n=1, l=0 \)
c. \( n=2, l=1 \)
D. \( n=2, l=0 \)
| 1 |
Chemistry
|
The yellow colour of urine of the vertebrates is due to
A. Cholesterol
B. Urochrome
c. Uric acid
D. Melanin
| 0 |
Biology
|
When 5 is subtracted from the length and breadth of the rectangle, the
perimeter becomes 26 . What is the
mathematical form of the statement
| 2 |
Maths
|
Of a certain sum, \( \frac{1}{3} r d \) is invested at \( 3 \%, \frac{1}{6} t h \) at \( 6 \% \) and the rest at \( 8 \% \). If the
81 for 2 years from all these
investments amounts to Rs. 600. Then
the original sum was
A. Rs. 2000
B. Rs. 3000
c. Rs. 4000
D. Rs. 5000
| 2 |
Maths
|
How will you represent 49 in cube root?
A \( \cdot \sqrt[7]{49} \)
B. \( \sqrt[2]{49} \)
\( c \cdot \sqrt[4]{49} \)
D. \( \sqrt[3]{49} \)
| 2 |
Maths
|
A certain reactant \( X O_{3}^{-} \) is getting
converted to \( X_{2} O_{7} \) in solution. The rate
constant of this reaction is measured
by titrating a volume of the solution with a reducing agent which reacts only
with \( X O_{3}^{-} \) and \( X_{2} O_{7} . \) In this process of reduction both the compounds
converted to \( X^{-} . \) At \( t=0, \) the volume of
the reagent consumed is \( 30 \mathrm{mL} \) and at \( \mathrm{t} \)
\( =9.212 \mathrm{min.} \) the volume used up is 36
mL. Find the rate constant(in \( h r^{-1} \) ) of
the conversion of \( \boldsymbol{X} \boldsymbol{O}_{3}^{-} \) to \( \boldsymbol{X}_{2} \boldsymbol{O}_{7} ? \)
Assuming reaction is of 1st order. (Given that \( \ln 10=2.303, \log 2=0.30 \) ).
| 1 |
Chemistry
|
Spiracles found in cockroach are which helps in gaseous exchange.
A. 2 pairs in thorax and 10 pairs in abdomen
B. 2 pairs in thorax and 6 pairs in abdomen
c. 2 pairs in thorax and 8 pairs in abdomen
D. 2 pairs in thorax and 4 pairs in abdomen
| 0 |
Biology
|
If an object is placed at \( A(O A>f) \) Where \( f \) is the focal length of the convex lens the image is found to be formed at
B. A perpendicular is erected at 0 and \( C \) is chosen on it such that the angle \( \angle \) BAC is a right angle. Then the value of will be
\( A \cdot A B / O C^{2} \)
B. (AC)(BC)/OC
c. \( (\mathrm{OC})(\mathrm{AB}) / \mathrm{AC}+\mathrm{BC} \)
D. OC^/AB
| 3 |
Physics
|
Organic substances such as sugars are translocated in phloem can be demonstrated by
A. Defoliation
B. Girdling the stem
c. Grafting
D. Root pressure
| 0 |
Biology
|
Carrier ions like \( \mathrm{Na}^{+} \) facilitate the
absorption of substances like
A. Fructose and some amino acids
B. Amino acids and glucose
c. Glucose and fatty acids
D. Fatty acids and glycerol
| 0 |
Biology
|
A full-wave rectifier circuit along with
the output is shown. The contribution(s)
from the diode 1 is (are).
A.
B. A, C
\( c . B, D \)
D. \( A, B, C, D \)
| 3 |
Physics
|
What is CFC?
| 1 |
Chemistry
|
Though the law gives women equal status in India, many people hold unscientific views on a woman's innate
nature, capacity and intelligence, and in practice give them a secondary status and role. Demolish this view
using scientific arguments, and by quoting examples of great women in science and other spheres; and persuade yourself and others that, given equal opportunity, women are on par with men.
| 3 |
Physics
|
Find the circumference of the circle
whose radius is \( 28 \mathrm{mm} . \) Take \( \pi=\frac{22}{7} \)
| 2 |
Maths
|
A ray of light is incident on one face of
prism with refracting angle \( \boldsymbol{A}\left(<\mathbf{9 0}^{\circ}\right) \)
The incident ray is normal to the other face of the prism. If \( C \) is the critical angle for prism air interface, then the ray will emerge from this faces only if
A \( \cdot \cot C<\cot A+1 \)
B. \( \cot C>\cot A+1 \)
c. \( \cot A<\cot C+1 \)
D. \( \cot A>\cot C+1 \)
| 3 |
Physics
|
Find the coefficient of: \( x \) in the
expansion of \( \left(1-3 x+7 x^{2}\right)(1-x)^{16} \)
Enter 1 if answer is -19 otherwise enter
0
| 2 |
Maths
|
The value of the definite integral \( \int \frac{d \theta}{1+\tan \theta}=\frac{501 \pi}{K} \) where \( a_{2}=\frac{1003 \pi}{2008} \) and
\( \boldsymbol{a}_{1}=\frac{\pi}{2008} \) The value of \( \mathrm{K} \) equalls
A. 2007
B. 2006
c. 2009
D. 2008
| 2 |
Maths
|
For a reversible reaction at \( 298 \mathrm{K} \), the
equilibrium constant K is 200. What is
the value of \( \triangle G^{0} \) at \( 298 \mathrm{K} ? \)
A . -13.13 kcal
B . -0.13 kcal
c. -3.158 kcal
D. - 0.413 kcal
| 1 |
Chemistry
|
Which one is the descending order of atomic radius of elements of third
period? \( N a(z=11), M g(z=12), A l(z=13) \)
and \( \boldsymbol{S} \boldsymbol{i}(\boldsymbol{z}=\mathbf{1 4}) \)
A. \( S i>A l>M g>N a \)
в. \( N a>M g>A l>S i \)
c. \( N a<M g<A l>S i \)
D. \( N a>A l>M g=S i \)
| 1 |
Chemistry
|
The various kinds of teeth present in human beings are
A. Premolars and canines
B. Molars and incisors
c. Muscular pharynx and molars
D. Incisors, canines, premolars and molars
| 0 |
Biology
|
Other things being equal, the EMF of a Daniell cell may be increased by
A. Keeping low temperature
B. Using large copper electrodes
c. using large zinc electrodes
D. Decreasing concentration of \( C u^{2+} \) ions
| 1 |
Chemistry
|
Density is a physical quantity.
A. fundamental
B. derived
c. semi-derived
D. semi-fundamental
| 3 |
Physics
|
Find the magnitude of the shortage
distance between the lines \( , \frac{x-8}{3}= \)
\( \frac{y+9}{-16}=\frac{z-10}{7} ; \frac{x-15}{3}=\frac{y-29}{8}=\frac{z-5}{-5} \)
| 2 |
Maths
|
Which of the following group belongs to actinide series?
A. Th, Pa, U
B. Ce Pr, Nd
c. Ва, La, нf
D. Pt, Au, Ag
| 1 |
Chemistry
|
The population of a town is 1200 in
2010. From 2010 to 2015, the
population of the town increased by \( 10 \% \) per year. Whats the population of the town in \( 2015 ? \)
A .4932 .612
B . 3932.612
c. 2932.612
D. 1932.612
| 2 |
Maths
|
The solution of \( \frac{d^{2} y}{d x^{2}}=x e^{x}+1 \) is:
A \( \cdot y=(x-1) e^{x}+\frac{1}{2} x^{2}+C_{1} x+C_{2} \)
B. \( y=(x-2) e^{x}+\frac{1}{2} x^{2}+C_{1} x+C_{2} \)
c. \( y=(x+2) e^{x}+\frac{1}{2} x^{2}+C_{1} x+C_{2} \)
D. \( y=(x+2) e^{x}+C_{1} \)
| 2 |
Maths
|
Following equlibrium is of which type?
\( N a C l(s)+H_{2} O(l) \rightleftharpoons N a C l . H_{2} O(a q) \)
A. Solid-solid equilibrium
B. Solid-liquid equilibrium
c. Liquid-liquid equilibrium
D. Liquid-gas equilibrium
| 1 |
Chemistry
|
Choose the correct answer from the
alternative given. Area of triangle formed by straight lines
\( \boldsymbol{x}-\boldsymbol{y}=\mathbf{0}, \boldsymbol{x}+\boldsymbol{y}=\mathbf{0} \) and \( \mathbf{2} \boldsymbol{x}=\mathbf{5} \) is
A . 25
в. \( \frac{25}{2} \)
c. \( \frac{25}{4} \)
D. None of these
| 2 |
Maths
|
A particle of mass \( m \) moving with a velocity of \( (4 \hat{i}-\hat{j}) m / s \) strikes a fixed wall and finally moves with a velocity of \( (3 \hat{i}+2 \hat{j}) m / s . \) Find
(a) the impulse received by the particle
(b) the coefficient of restitution between them in the collision
| 3 |
Physics
|
Draw the circles whose equation are
\( 3 x^{2}+3 y^{2}=4 x \)
| 2 |
Maths
|
which have the same positive kinetic energy but different masses. For this
ensemble, which graph best represents
the relationship between the particle's
mass and its total energy?
\( A \)
в.
\( c \)
D.
| 3 |
Physics
|
Portion of gene, which is transcribed but not translated is?
\( A \). Exon
B. Intron
c. cistron
D. codon
| 0 |
Biology
|
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