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If \( \boldsymbol{f}: \boldsymbol{Z} \rightarrow \boldsymbol{Z} \) is defined by \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{ll}\frac{x}{2} & \text { if } x \text { is even } \\ 0 & \text { if } x \text { is odd }\end{array} \text { then } f \) is \right.
A. onto but not one to one
B. One to one but not onto
c. one to one and onto
D. Neither one to one nor onto
| 2 |
Maths
|
Dominant producers of neritic zone of
sea are the
A. Phytoplankton
B. Zooplankton
c. Microorganisms
D. Diatoms
| 0 |
Biology
|
Write two demerits of arithmetic mean.
| 2 |
Maths
|
Why the elements of group 17 are coloured?
| 1 |
Chemistry
|
The local maximum value of \( x(1-x)^{2}, 0 \leq x \leq 2 \) is
\( A \cdot 2 \)
в. \( \frac{4}{27} \)
\( c .5 \)
D. \( 2, \frac{4}{27} \)
| 2 |
Maths
|
State whether true or false:
The particle is moving simple harmonically
A. True
B. False
| 3 |
Physics
|
A molecule having three differential chiral carbon atoms, how many stereoisomers it will have?
\( A \cdot 8 \)
B. 3
\( c .9 \)
D. 6
| 1 |
Chemistry
|
Find the circumference of a circle
whose area is \( 301.84 \mathrm{cm}^{2} \)
| 2 |
Maths
|
In which period of the periodic table,will an element, be found whose
differentiating electron is a \( 4 \mathrm{d} \) electron?
| 1 |
Chemistry
|
A particle moves in the \( x \) -y plane with the velocity \( \overrightarrow{\boldsymbol{v}}=\boldsymbol{a} \hat{\boldsymbol{i}}+\boldsymbol{b} \boldsymbol{t} \hat{j} . \) AT the instant
\( \mathrm{t}=a \sqrt{3} / b \) the magnitude of tangential normal and total acceleration are
| 3 |
Physics
|
Evaluate:
\( \int \frac{5 x+3}{\sqrt{x^{2}+4 x+10}} d x \)
| 2 |
Maths
|
Closing cells are found in
A. Stomata
B. Sieve
C. Lenticels
D. wounded areas
| 0 |
Biology
|
A vessel of uniform cross-section of
length \( 500 \mathrm{cm} \) as shown in figure is
divided in two parts by a weightless \( \& \) frictionless piston. One part contains 5
mole of \( N_{2}(g) \) and other part contains 2
moles of \( \boldsymbol{H}_{2}(\boldsymbol{g}) \& 1 \) mole of \( \boldsymbol{H} \boldsymbol{e}(\boldsymbol{g}) \)
gaseous mixture at the same
temperature and pressure.
What is the length of \( N_{2} \) compartment? (Assume volume of piston to be engligible)
A. \( 187.5 \mathrm{cm} \)
B. 300 \( c m \)
c. \( 312.5 \mathrm{cm} \)
D. none of these
| 1 |
Chemistry
|
Sum of first 14 terms of an \( A P \) is 1505
and it first term is \( 10 . \) Find its \( 25^{t h} \) term
| 2 |
Maths
|
Which of the following is used in automobile battery casings?
A. HDPE
B. PP
c. PVC
D. Polyester
| 1 |
Chemistry
|
In the figure shown the radius of
curvature of the left \( \& \) right surface of
the concave lens is \( 10 \mathrm{cm} \& 15 \mathrm{cm} \)
respectively. The radius of curvature of
the mirror is \( 15 \mathrm{cm} \)
A. Equivalent focal length of the combination is \( 18 \mathrm{cm} \)
B. Equivalent focal length of the combination is \( +36 \mathrm{cm} \)
c. The system behaves like a concave mirror
D. The system behaves like a convex mirror
| 3 |
Physics
|
A \( 1 \mathrm{cm} \) height needle is placed at a
distance of \( 0.1 ~ m \) from a convex mirror
of focal length 0.05 m, then size of the
image is
A. \( 1 \mathrm{cm} \)
в. \( 0.66 \mathrm{cm} \)
\( \mathrm{c} .0 .33 \mathrm{cm} \)
D. \( 0.5 \mathrm{cm} \)
| 3 |
Physics
|
The relative permeability of a material is
\( 0.9 . \) The material is
A. diamagnetic
B. para magnetic
c. ferro magnetic
D. non-magnetic
| 3 |
Physics
|
If \( x=\sqrt{2}-1, y=1-\sqrt{3} \) and \( z= \)
\( \sqrt{3}-\sqrt{2}, \) find \( x^{3}+y^{3}+z^{3}-x y z \)
| 2 |
Maths
|
Prove that the ratio of slope of adiabatic
curve to slope of isothermal is \( \gamma \)
| 3 |
Physics
|
Find the wavelength associated with an electron which has mass \( 9.1 \times 10^{-28} g \)
and is moving with a velocity of \( 10^{5} \mathrm{cm} \) \( \sec ^{-1} .\left(\text {Given: } h=6.625 \times 10^{-27} \) erg \right.
\( \sec \)
A \( . \lambda=5.28 \times 10^{-5} m \)
в. \( \lambda=7.28 \times 10^{-5} \mathrm{cm} \)
c. \( \lambda=7.28 \times 10^{-5} m \)
D. \( \lambda=5.28 \times 10^{-5} \mathrm{cm} \)
| 1 |
Chemistry
|
The objective function \( z=x_{1}+x_{2} \)
subject to \( \boldsymbol{x}_{1}+\boldsymbol{x}_{2} \leq \mathbf{1 0},-\mathbf{2} \boldsymbol{x}_{\mathbf{1}}+\mathbf{3} \boldsymbol{x}_{2} \leq \)
\( \mathbf{1 5}, \boldsymbol{x}_{1} \leq \mathbf{6}, \boldsymbol{x}_{1}, \boldsymbol{x}_{2} \geq \mathbf{0} \) has maximum
value \( \ldots \ldots . . . . . . . . . \) of the feasible region.
A. at only one point
B. at only two points
c. at every point of the segment joining two points
D. at every point of the line joining two points
| 2 |
Maths
|
The displacement \( x \) of a particle moving in one dimension under constant acceleration is related to the
time \( t \) as \( t=\sqrt{x}+3 . \) The displacement of the particle when its velocity is zero is
A . zero
B. 3 units
c. \( \sqrt{3} \) units
D. 9 units
| 3 |
Physics
|
If the distance travelled by an object is zero, then the displacement of the object is
A. zero
B. not zero
c. negative
D. may or may not be zero
| 3 |
Physics
|
With increase in pressure
This question has multiple correct options
A. solubility of solids in liquids is unaffected
B. solubility of solids decreases
C . solubility of gases decreases in liquids
D. solubility of gases in liquids increases
| 1 |
Chemistry
|
For adiabatic expansion of a monoatomic perfect gas, the volume increases by \( 2.4 \% . \) What is the percentage decreases in pressure?
A . \( 2.4 \% \)
в. \( 4.0 \% \)
c. \( 4.8 \% \)
D. \( 7.1 \% \)
| 3 |
Physics
|
A drop of water of radius \( r \) is falling
through the air of coefficient of viscosity \( \eta \) with a constant velocity of \( v \)
The resultant force on the drop is:
A \( \cdot \frac{1}{6 \pi \eta r v} \)
в. \( 6 \pi \eta r v \)
c. \( \sqrt{6 \pi \eta r v} \)
D. zero
| 3 |
Physics
|
A charged spherical conductor has a
surface charge density of \( 0.07 C / m^{2} \)
When its charge is increased by \( 0.44 C \) the charge density changes by 0.14 \( C / m^{2} . \) The radius of the sphere is :
A . \( 5 \mathrm{cm} \)
в. \( 10 m \)
c. \( 0.5 m \)
D. \( 5 m \)
| 3 |
Physics
|
A parallel plate capacitor contains a mica sheet \( \left(\text { thickness } 10^{-3} m\right) \) and \( a \)
sheet of fiber (thickness \( 0.5 \times 10^{-3} m \) ).
The dielectric constant of mica is 8 and
that of the fiber is \( 2.5 . \) Assuming that the fiber breaks down when subjected to an electric field of \( 6.4 \times 10^{6} V m^{-1} \)
find the maximum safe voltage (in
kV) that can be applied to the capacitor.
| 3 |
Physics
|
A ball placed on a table starts rolling when table is tilted. Which is the force
which causes this motion?
A. friction
B. push by table
c. rolling force
D. gravitational pull by earth
| 3 |
Physics
|
Elements having a single electron in their outermost shell is :
A. \( L \)
B.
c. Na
D. all of these
| 1 |
Chemistry
|
Three balls are drawn at random from a
collection of 7 white, 12 green and 4 red balls. The probability that each is different colour is
A \( \cdot \frac{48}{253} \)
в. \( \frac{64}{253} \)
c. \( \frac{23}{253} \)
D. \( \frac{56}{253} \)
| 2 |
Maths
|
Let \( A \) be a square matrix all of whose
entries are integers. Then, which one of
the following is true?
\( \mathbf{A} \cdot \) If \( \operatorname{det} A=\pm 1, \) then \( A^{-1} \) exists and all its entries are
integers
B. If \( \operatorname{det} A=\pm 1, \) then \( A^{-1} \) need not exist
C. If \( \operatorname{det} A=\pm 1, \) then \( A^{-1} \) exists but all its entries are
not necessarily integers
D. If det \( A \neq\pm 1 \), then \( A^{-1} \) exists and all its entries are non-integers
| 2 |
Maths
|
The lengths of the sides of a triangle are proportional to the numbers 5,12 and \( 13 . \) The largest side of the triangle exceeds the smallest side by \( 1.6 \mathrm{m} \) Find the perimeter and the area of the triangle.
| 2 |
Maths
|
\( 40 g \) of ice at \( 0^{\circ} C \) is used to bring down
the temperature of certain mass of
water at \( 60^{\circ} \mathrm{C} \) to \( 10^{\circ} \mathrm{C} \). Find the mass
of water used.
[Specific heat capacity of water \( = \) \( 4200 J K g^{-1} C^{-1} \)
[Specific latent heat of fusion of ice \( = \)
\( \left.336 \times 10^{3} J k g^{-1}\right] \)
| 3 |
Physics
|
If \( y=e^{m \sin ^{-1} x} \) then show that \( (1- \)
\( \left.\boldsymbol{x}^{2}\right) \boldsymbol{y}_{\boldsymbol{n}+\mathbf{2}}-(\boldsymbol{2} \boldsymbol{n}+\mathbf{1}) \boldsymbol{x} \boldsymbol{y}_{\boldsymbol{n}+\mathbf{1}}-\left(\boldsymbol{n}^{2}+\right. \)
\( \left.\boldsymbol{m}^{2}\right) \boldsymbol{y}_{n}=\mathbf{0} \)
| 2 |
Maths
|
Choose the correct answers from the
alternatives given. Mycologists are specialists in the study
of:
A . plants
B. fungi
c. algae
D. protists
| 0 |
Biology
|
The lewis acid nature is maximum in:
A. \( A l C l_{3} \)
в. \( B C l_{3} \)
c. \( G a C l_{3} \)
D. \( \operatorname{InCl}_{3} \)
| 1 |
Chemistry
|
Area enclosed between the curves \( y= \)
\( 8-x^{2} \) and \( y=x^{2}, \) is:
A . \( 32 / 3 \)
B. \( 64 / 3 \)
c. \( 30 / 4 \)
D.
| 2 |
Maths
|
The distance between the sun and the
earth is -
A. 200 million kilometres
B. 150 million kilometres
c. 1.4 light years
D. 3 billion kilometres
| 3 |
Physics
|
\( e+C H_{3} O H^{H C l(g)} \)
(1)Mannose Glucose 9)
\( \begin{array}{ll}\text {Sucrose }+H_{3} O^{+} \rightarrow & \text { (2) Galactose } \\ \text {Fructose} \stackrel{\text {Base}}{\rightarrow} & \text { (3) Glucose } \\ \text {Lactose}+H_{3} O^{+} \rightarrow & \text { (4) Fructose } \\ & \text { (5) Glucoside }\end{array} \)
\( \begin{array}{llll}\text { A. } A-5 ; & \text { B-3, 4; } & \text { C-1,3; } & \text { D-2,3 }\end{array} \) What is ; \( \quad \mathrm{C}-1,2 ; \)
B. A-4; B-4,5; ; \( \quad D-1,3 \) , an \( D-1,3 \)
C \( . A-5 ; \quad B-3,4 ; \)
4; \( \quad \) C-2,3; \( \quad D-1,2 \) ; \( \quad D-1,2 \) \( c-3.5 \) ; ; \( \quad \mathrm{B}-4,1 \)
D. \( A-3 \)
| 1 |
Chemistry
|
What kind of changes is undergone
when an electric bulb glows?
A. A physical change
B. A chemical change
c. Both a physical and a chemical change
D. A permanent change
| 1 |
Chemistry
|
A conductor has a non-uniform section
as shown in the figure. A steady current is flowing through it. Then the drift speed of the electrons:
A. varies unpredictably
B. increases from P to Q
c. decreases from P to Q
D. is constant throughout the wire
| 3 |
Physics
|
If a women is using a copper-T, will it
help in protecting her from sexually transmitted disease?
| 0 |
Biology
|
In the circuit shown here,cells \( A \) and \( B \)
have emf \( 10 V \) each and the internal
resistance is \( 5 \Omega \) for \( A \) and \( 3 \Omega \) for \( B \). For
what value of \( R \) will the potential difference across the cell A will be zero?
A . 0
B. 1 ohm
c. 2 ohm
D. 3 ohm
| 3 |
Physics
|
If \( y \) is second entry and \( x \) is first entry then its ordered pair will be
A. \( (x, y) \)
(i) \( x \)
в. \( (y, y) \)
c. \( (y, x) \)
D. None of the above
| 2 |
Maths
|
A solid hemisphere is just pressed
below the liquid, the value of \( \frac{F_{1}}{F_{2}} \) is
(where \( F_{1} \) and \( F_{2} \) ) are the hydrostatic
force acting on the curved and flat
surfaces of the hemisphere)(Neglect atmospheric pressure)
A \( \cdot \frac{1}{2} \)
B. 2 3
\( c \cdot \frac{1}{3} \)
D. None of these
| 3 |
Physics
|
A gas is expanded from volume \( V_{0} \) to
\( 2 V_{0} \) under three different processes.
Process 1 is isobaric process, process 2 is isothermal and process 3 is
adiabatic. Let \( \Delta U_{1}, \Delta U_{2} \) and \( \Delta U_{3} \) be
the change in internal energy of the gas in these three process. Then
A \( \cdot \Delta U_{1}>\Delta U_{2}>\Delta U_{3} \)
в. \( \Delta U_{1}<\Delta U_{2}<\Delta U_{3} \)
c. \( \Delta U_{2}<\Delta U_{1}<\Delta U_{3} \)
D. \( \Delta U_{2}<\Delta U_{3}<\Delta U_{1} \)
| 1 |
Chemistry
|
If \( \mathbf{A}=\left\{x \mid \frac{\pi}{6} \leq x \leq \frac{\pi}{3}\right\} \) and \( f(x)= \)
\( \cos x-x(1+x), \) then \( f(A) \) is equal to
\( \mathbf{A} \cdot\left[\frac{\pi}{6}, \frac{\pi}{3}\right] \)
\( \mathbf{B} \cdot\left[-\frac{\pi}{3},-\frac{\pi}{6}\right] \)
\( \mathbf{C} \cdot\left[\frac{1}{2}-\frac{\pi}{3}\left(1+\frac{\pi}{3}\right), \frac{\sqrt{3}}{2}-\frac{\pi}{6}\left(1+\frac{\pi}{6}\right)\right] \)
\( \mathrm{D} \cdot\left[\frac{1}{2}+\frac{\pi}{3}\left(1-\frac{\pi}{3}\right), \frac{\sqrt{3}}{2}+\frac{\pi}{6}\left(1-\frac{\pi}{6}\right)\right] \)
| 2 |
Maths
|
Longitudinal strain is possible in:
A . Gases
B. Liquids
c. Solids
D. All of these
| 3 |
Physics
|
Material used in heating coils is:
A. Nichrome
B. Copper
c. Silver
D. Gold
| 3 |
Physics
|
\( N a H_{2} P O_{4} \stackrel{230^{\circ} C}{\rightarrow} N a_{3}\left(P_{3} O_{9}\right) \stackrel{638^{\circ} C}{\rightarrow}(D) \)
Compound (D) contains \( 200\left(P O_{4}\right) \) units and called:
A. Bunsen's salt
B. Graham's salt
c. Reimann's salt
D. werner's salt
| 1 |
Chemistry
|
The vector perpendicular to \( \hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}} \) is
\( \mathbf{A} \cdot \hat{i}-\hat{j}+\hat{k} \)
B. \( \hat{i}-\hat{j}-\hat{k} \)
c. \( -\hat{i}-\hat{j}-\hat{k} \)
D. \( 3 \hat{i}+2 \hat{j}-5 \hat{k} \)
| 3 |
Physics
|
Consider the chemical reaction:
\( N_{2}(g)+3 H_{2}(g) \rightarrow 2 N H_{3}(g) \)
The rate of this reaction can be
expressed; in terms of time and of
concentration of \( N_{2}(g), H_{2}(g) N H_{3}(g) \)
Identify the correct relationship
amongst the rate expressions.
A \( \cdot \operatorname{Rate}=-\frac{d\left[N_{2}\right]}{d t}=-\frac{1}{3} \frac{d\left[H_{2}\right]}{d t}=+\frac{1}{2} \frac{d\left[N H_{3}\right]}{d t} \)
B. \( \operatorname{Rate}=-\frac{d\left[N_{2}\right]}{d t}=-\frac{3 d\left[H_{2}\right]}{d t}=\frac{2 d\left[N H_{3}\right]}{d t} \)
c. \( \operatorname{Rate}=-\frac{d\left[N_{2}\right]}{d t}=-\frac{1}{3} \frac{d\left[H_{2}\right]}{d t}=\frac{d\left[N H_{3}\right]}{d t} \)
D. \( \operatorname{Rate}=-\frac{d\left[N_{2}\right]}{d t}=\frac{d\left[H_{2}\right]}{d t}=\frac{d\left[N H_{3}\right]}{d t} \)
| 1 |
Chemistry
|
A spherical mirror and a thin spherical lens have each a focal length of \( -15 \mathrm{cm} \) The mirror and lens are likely to be:
A. both concave
B. both Convex
c. the mirror is concave and lens is convex
D. the mirror is convex but lens is concave
| 3 |
Physics
|
Among the compound \( 1-1 V \), the compound having the lowest boiling point is
\( A \)
B. II
c. III
D. IV
| 1 |
Chemistry
|
A conducting circular loop is placed in a uniform magnetic field \( \mathrm{B}=0.025 \mathrm{T} \) with its plane perpendicular to the magnetic field. The radius of the loop starts
shrinking at \( 1 \mathrm{mm} \mathrm{s}^{-1} \). The induced emf
in the loop when the radius is \( 2 \mathrm{cm} \) is:
A. \( 2 \pi \mu V \)
в. \( \pi \mu V \)
c. \( \frac{\pi}{2} \mu V \)
D. \( 3.2 \pi \mu V \)
| 3 |
Physics
|
\( \ln \) an A.C. circuit in 1 second current
reduces to zero value 120 times. Hence
the frequency of A.c. current is
\( \mathrm{Hz} \)
A . 50
в. 100
c. 60
D. 120
| 3 |
Physics
|
A sinusoidal voltage \( V=200 \sin 314 t \) is
applied to a \( 10 \Omega \) resistor. Find rms
current
A . \( 14.14 A \)
B. \( 28.28 A \)
c. \( 56.56 A \)
D. \( 100 A \)
| 3 |
Physics
|
Solve: \( \frac{2}{x}+\frac{3}{y}=13, \frac{5}{x}+\frac{7}{y}=31 \)
| 2 |
Maths
|
An electrical device which offers a low
resistance to the current in one
direction but a high resistance to the
current in opposite direction is:
A. Current Amplifier
B. Oscillator
c. Power Amplifier
D. Rectifier
| 3 |
Physics
|
Soft metals which can be cut with a
knife is/are:
A. lithium
B. potassium
c. gold
D. both A and B
| 1 |
Chemistry
|
Due to the capacity to absorb water, which among the following is used to replace cotton and also used as a fuel?
A. Marchantia
B. Riccia
c. sphagnum
D. Funaria
| 0 |
Biology
|
Find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) for \( \boldsymbol{y}=\boldsymbol{e}^{\sin \sqrt{\tan \boldsymbol{x}}} \)
| 2 |
Maths
|
Solve \( \int \frac{\cos ^{2} \theta d \theta}{\cos ^{2} \theta+4 \sin ^{2} \theta} \)
| 2 |
Maths
|
A parallel plate capacitor consists of two circular plates each of radius \( 12 \mathrm{cm} \)
and separated by \( 5.0 m m . \) The capacitor
is being charged by an external source. The charging current is constant and is
equal to \( 0.15 A \)
The displacement current is:
\( \mathbf{A} \cdot 15 A \)
в. \( 1.5 A \)
c. \( 0.15 A \)
D. \( 0.015 A \)
| 3 |
Physics
|
Even though it is a non-metal, graphite conducts electricity. It is due to the presence of :
A. free electrons
B. bonded electrons
c. its bond length
D. none of these
| 1 |
Chemistry
|
Figure shows two long wires carrying
equal currents \( I_{1} \) and \( I_{2} \) flowing in
opposite directions.Which of the arrows
labeled \( A, B, C \) and \( D \) correctly
represents the direction of the
magnetic field due to the wires at a
point located at an equal distance \( d \)
from each wire?
A . \( A \)
B. \( B \)
c. \( C \)
\( D . D \)
| 3 |
Physics
|
\( 4 x-3=0 \) is a line parallel to
A . \( y \) axis
B. \( x \) axis
\( \mathbf{c} \cdot y=x \)
D. \( y=2 x \)
| 2 |
Maths
|
As per observation (iii) LiH is more
stable than NaH, because:
A. Due to small size of \( L i^{+} \), the lattice energy of LiH is
greater
B. Due to greater size of \( H^{-} \), the lattice energy of LiH is greater
C. LiH is more covalent than NaH
D. Due to greater size of \( N a^{+} \), the lattice energy of NaH is greater
| 1 |
Chemistry
|
The element which gives explosive
halides is:
A. phosphorus
B. nitrogen
c. arsenic
D. bismuth
| 1 |
Chemistry
|
An object is placed
(i) Asymmetrically
\( (i i) \) Symmetrically, between two plane
mirrors inclined at an angle of \( 50^{\circ} . \) Find
the number of images formed.
A \( \cdot(1) 7,(i i) 7 \)
B. (1) 6, ( ii)6
c. \( (1) 6,(i i) 7 \)
D. \( (1) 7,(i i) 6 \)
| 3 |
Physics
|
Torr is the physical quantity for atmospheric pressure. Type 1 for true
and 0 for false
| 3 |
Physics
|
Which of the following has maximum complex forming ability with a given metal ion?
A \( \cdot \mathrm{PH}_{3} \)
в. ВіНз
c. \( \mathrm{NH}_{3} \)
D. \( \operatorname{sb} \mathrm{H}_{3} \)
| 1 |
Chemistry
|
The angle between vectors \( \vec{A}=\hat{i}-5 \hat{j} \) and \( \vec{B}=2 \hat{i}-10 \hat{j} \) is:
A \( .90^{\circ} \)
B . \( 180^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 0^{\circ} \)
| 3 |
Physics
|
The nearest point up to which an eye
can see objects clearly is called the far point of the eye.
A. True
B. False
| 3 |
Physics
|
\( \boldsymbol{n}(\boldsymbol{E}) / \boldsymbol{n}(\boldsymbol{S}) \) is the formula of calcilating
the:
A . Mean
B. Median
c. Mode
D. Probability
| 2 |
Maths
|
Which of the following corresponds to the configuration?
\( 1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} \)
A. не
B. Na a
c. мg
\( D \cdot A \)
| 1 |
Chemistry
|
Where should be a uniform rod of length
\( 10 m \) and weight \( 100 N \) and with a
weight of \( 100 N \) at an extreme point be
balanced?
A. \( 5 \mathrm{m} \) from that extreme
B. \( 2.5 \mathrm{m} \) from that extreme
\( \mathrm{c} .2 .5 \mathrm{m} \) from the other extreme
D. \( 5 m \) from the other extreme
| 3 |
Physics
|
ATP binding site is located
on/associated with
A. Troponin
B. Tropomyosin
c. Head part of meromyosin
D. Tail part of myosin
| 0 |
Biology
|
Consider a chemical species in which a carbon atom forms single bonds to three hydrogen atoms in which the
carbon atom possesses no other
valence electrons.
(a) What formal charge would the
carbon atoms have?
(b) What shape would you expect this species to have?
(c) What is the hybridization of carbon atom?
| 1 |
Chemistry
|
A cuboidal block of side \( 10 \mathrm{cm} \) is
surmounted by a hemisphere. What is the largest diameter the hemisphere can have? Find the cost of polishing the total surface area of the side so formed
at the rate of 5 per square \( c m \)
| 2 |
Maths
|
Construct \( \triangle A B C \) such that \( A B= \)
\( 2.5 c m, B C=6 c m \) and \( A C=6.5 c m \)
Measure \( \angle B \)
| 2 |
Maths
|
In a plane mirror the image formed is
real.
A . True
B. False
| 3 |
Physics
|
White fibrous tissue is
A. Nerve
B. Muscle
c. Ligaments
D. Tendons
| 0 |
Biology
|
When the number of turns per unit length in a solenoid is doubled then its
coefficient of self induction will become
A . half
B. double
c. four times
D. unchanged
| 3 |
Physics
|
The final acid obtained during the
manufacture of \( \boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4}, \) by contact
process is:
A \( \cdot H_{2} S O_{4} \) (conc.)
B . \( H_{2} S O_{4} \) (dil)
c. \( H C I \)
D. \( H_{2} S_{2} O_{7} \)
| 1 |
Chemistry
|
The angular frequency of an AC source is 10 radian/sec. The reactance of \( 1 \mu F \) capacitor will be
A \( \cdot 10^{4} \Omega \)
B . \( 10^{2} \Omega \)
\( \mathbf{c} \cdot 10^{1} \Omega \)
D. \( 10^{5} \Omega \)
| 3 |
Physics
|
Identify the unsaturated compounds from the following:
(i) Propane
(ii) Propene
(iii) Propyne
(iv) Chloropropane
\( A \cdot \) (i) and (ii)
B. (ii) and (iv)
c. (iii) and (iv)
D. (ii) and (iii)
| 1 |
Chemistry
|
(a)Draw a schematic sketch of a
cyclotron. Explain clearly the role of crossed electric and magnetic field in accelerating the charge. Hence derive the expression for the kinetic energy
acquired by the particles.
(b) An \( \alpha \) - particle and a photon are released from the centre of the cyclotron
and made to accelerate:
(i) Can both be accelerated at the same
cyclotron frequency? Give reason to justify your answer
(ii) When they are accelerated in turn,
which of the two will have higher velocity at the exit slit.
| 3 |
Physics
|
Do the following addition with the help
of numberline:
\( (-3)+8 \)
| 2 |
Maths
|
\( N A D^{+} \) is reduced in photorespiration
inside
A. Mitochondria
B. Mitochondria and peroxisome
c. Mitochondria and chloroplasts
D. chloroplasts and peroxisomes
| 0 |
Biology
|
The set of values of \( x \) for which the
inequality \( [\boldsymbol{x}]^{2}-\mathbf{5}[\boldsymbol{x}]+\boldsymbol{6} \leq \mathbf{0} \) (where [
denote the greatest integral function) holds good are
A \( .2 \leq[x]<3 \)
в. \( 2 \leq x<4 \)
c. \( 2 \leq[x] \leq 3 \)
D. \( (b) \) and \( (c) \) both
| 2 |
Maths
|
The number of unpaired electrons present in the first excited state of
chlorine atom is:
A . 1
B. 3
\( c .5 \)
D.
| 1 |
Chemistry
|
Solve the following inequalities:
\( \frac{2 x-3}{4}+8 \geq 2+\frac{4 x}{3} \)
A . \( x \leq 6.3 \)
в. \( x \leq 7 \)
c. \( x \leq 7.3 \)
D. \( x \leq 8.3 \)
| 2 |
Maths
|
Explain with neat diagram the principle, construction and working of a cyclotron.
| 3 |
Physics
|
\( \int_{0}^{1} \frac{2 \sin ^{-1} \frac{x}{2}}{x} d x \) is equal to
\( ^{\mathrm{A}} \cdot \int_{0}^{\pi / 6} \frac{x}{\tan x} d x \)
в. \( \int_{0}^{\pi / 6} \frac{2 x}{\tan x} d x \)
\( ^{\mathrm{C}} \int_{0}^{\pi / 2} \frac{2 x}{\tan x} d x \)
D. None of these
| 2 |
Maths
|
Find friction force acting on block of
mass \( =1 k g \) where \( \mu=0.8 \)
A . \( 6.8 N \)
B. \( 7 N \)
\( c .6 N \)
D. \( 0 N \)
| 3 |
Physics
|
Assertion
Ammonia can be liquefied by applying high pressure.
Reason
Ammonia is highly soluble in water
A. Both assertion and reason are CORRECT and reason is the CORRECT explanation of the assertion
B. Both assertion and reason are CORRECT, but reason is NOT THE CORRECT explanation of the assertion
C. Assertion is CORRECT, but reason is INCORRECT
D. Assertion is INCORRECT, but reason is CORRECT
| 1 |
Chemistry
|
If a gas at constant temperature and pressure expands, then its:
A. internal energy increases
B. internal energy remains same
c. internal energy decreases
D. entropy increases and then decreases
| 1 |
Chemistry
|
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