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In which of the following polymers,
ethylene glycol is one of the monomer
units?
\( A \)
B \( \cdot\left(-C H_{2}-C H_{2}\right)_{n} \)
\( c \)
| 1 |
Chemistry
|
What are the properties of acids?
This question has multiple correct options
A. It produces the hydroxyl ion \( \left(O H^{-}\right) \)
B. It produces the hydronium ion \( \left(H_{3} O^{+}\right) \) in aqueous solution
C. They are proton donors
D. They have low pH
| 1 |
Chemistry
|
At time \( t=0, \) two bodies \( A \) and \( B \) are at
the same point. A moves with constant
velocity \( V \) and \( B \) starts from rest and moves with constant acceleration. Relative velocity of B with respect to A when the bodies meet each other is:
A \( \cdot \frac{V}{2} \)
в. \( \frac{V}{3} \)
c. \( V \)
D. \( 2 V \)
| 3 |
Physics
|
Write a \( 2 \times 2 \) matrix which is both
symmetric and skew symmetric.
| 2 |
Maths
|
Alligator occurs in
A. India
B. America and China
C. Africa
D. Australia
| 0 |
Biology
|
A body is acted upon by two forces each of magnitude \( F, \) but in opposite directions. State the effect of the forces
if both forces act at the same point of
the body. Which of the following is/are
true?
A. Resultant force \( =0 \)
B. Moment of forces \( =0 \)
c. No motion
D. All of the above
| 3 |
Physics
|
A nucleus with atomic number \( z \) and
neutron number N undergoes two decay processes. The result is a nucleus with atomic number Z-3 and neutron
number N-1. Which decay processes took place?
A . Two \( \beta^{-} \) decays
B. Two \( \beta^{+} \) decays
C. \( A n \alpha-d e c a y \) and \( a \beta^{-} \) decay
D. An \( \alpha- \) decay and a \( \beta^{+} \) decay
| 3 |
Physics
|
Multiple Answers Type Objective Questions:
Which of the following act as negative catalysts?
A. Ethanol in oxidation of chloroform
B. Tetra ethyl lead used as antiknocking agent
C. Glycerol in the decomposition of \( H_{2} O_{2} \)
D. all are currect
| 1 |
Chemistry
|
The equilibrium constant for the
reaction \( \boldsymbol{C O}(\boldsymbol{g})+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \rightleftharpoons \)
\( C O_{2}(g)+H_{2}(g) \) is 3 at \( 500 K . \ln a 2 \)
litre vessel \( 60 \mathrm{gm} \) of water gas
[equimolar mixture of \( \left.\mathrm{CO}(\mathrm{g}) \text { and } \boldsymbol{H}_{2}(\boldsymbol{g})\right] \)
and \( 90 \mathrm{gm} \) of steam is initially taken.
What is the equilibrium concentration of \( \boldsymbol{H}_{2}(\boldsymbol{g}) \) at equilibrium (mole/L)?
A . 1.75
в. 3.5
\( c \cdot 1.5 \)
D. 0.75
| 1 |
Chemistry
|
Alcohols can be converted to various
types of gasoline(period) by shapeselective catalyst.
A. Maltase
B. ZSM- 5
c. Lindlar's catalyst
D. ziegler Natta catalyst
| 1 |
Chemistry
|
Which of the following has the largest de Broglie wavelength, provided all have equal velocity?
A. Carbon dioxide molecule
B. Ammonia molecule
c. oxygen molecule
D. Nitrogen molecule
| 1 |
Chemistry
|
Prove that
\( \cos \frac{\pi}{15} \cos \frac{2 \pi}{15} \cos \frac{3 \pi}{15} \cos \frac{4 \pi}{15} \cos \frac{5 \pi}{15} \cos \frac{6}{1} \)
1
\( 2^{7} \)
| 2 |
Maths
|
An arithmetic sequence starts as \( \mathbf{5}, \mathbf{9}, \mathbf{1 3}, \dots \dots \dots, . \) What is the next term?
Is 2012 a term of this sequence? Why?
| 2 |
Maths
|
Assertion
STATEMENT \( 1: \sim(p \leftrightarrow \sim q) \) is equivalent
to \( (\boldsymbol{p} \vee \sim \boldsymbol{q}) \wedge(\sim \boldsymbol{p} \vee \boldsymbol{q}) \)
Reason
STATEMENT \( 2: \sim(p \leftrightarrow q) \) is equivalent
to \( (\boldsymbol{p} \wedge \sim \boldsymbol{q}) \vee(\sim \boldsymbol{p} \wedge \boldsymbol{q}) \)
A. Statement 1 is True, Statement 2 is True; Statement 2 i a correct explanation for Statement 1
B. Statement 1 is True, Statement 2 is True ; Statement 2 is NOT a correct explanation for Statement 1
c. statement 1 is True, Statement 2 is False
D. Statement 1 is False, Statement 2 is True
| 2 |
Maths
|
Compute \( \operatorname{Lim} \frac{3^{x}-2^{x}}{x} \)
| 2 |
Maths
|
Carbon dioxide is the major component
of greenhouse gases.
A. True
B. False
| 1 |
Chemistry
|
The chemical formula of starch is
A \( \cdot\left(C_{6} H_{10} O_{5}\right)_{n} \)
в. \( \left(C_{6} H_{12} O_{6}\right)_{n} \)
c. \( C_{12} H_{22} O_{11} \)
D. \( C H_{3} \) СООН
| 0 |
Biology
|
Halogenated hydrocarbons have many
uses.
What have halogenated hydrocarbons
been used for?
solvents
2 refrigerants
3 monomers in polymer manufacture
\( A \cdot 1,2 \) and 3 are correct
B. 1 and 2 only are correct
c. 2 and 3 only are correct
D. 1 only is correct
| 1 |
Chemistry
|
The torque of force \( \overrightarrow{\boldsymbol{F}}=(2 \hat{\boldsymbol{i}}-\boldsymbol{3} \hat{\boldsymbol{j}}+\boldsymbol{4} \hat{\boldsymbol{k}}) \)
N acting at the point \( \vec{r}= \) \( (3 \hat{i}+2 \hat{j}+3 \hat{k}) m \) about origin is (in \( \mathrm{N}- \)
\( \mathrm{m}) \)
A . \( 6 \hat{i}-6 \hat{j}+12 \hat{k} \)
B . \( 17 \hat{i}-6 \hat{j}-13 \hat{k} \)
c. \( -6 \hat{i}+6 \hat{j}-12 \hat{k} \)
D. \( -17 \hat{i}+6 \hat{j}+13 \hat{k} \)
| 3 |
Physics
|
A carnot cycle is having maximum
efficiency because
A. it comprises of two adiabatic process which requires no heat in its execution.
B. it comprises of two isothermal process.
C. its every process is reversible
D. none of the above
| 3 |
Physics
|
Which of the following is not a true
statement about detergents?
A. Anionic detergents are sodium salts of sulphonated long chain alcohols or hydrocarbons.
B. Cationic detergents are quarternary ammonium salts of amines with acetates, chlorides or bromides as
ions.
C. Non-ionic detergents do not contain any ion in their constitution.
D. Detergents containing branched hydrocarbon chains are biodegradable.
| 1 |
Chemistry
|
\( \mathbf{5 0} \boldsymbol{m} \boldsymbol{L} \) of \( \mathbf{0 . 1} \boldsymbol{M} \boldsymbol{N} \boldsymbol{H}_{4} \boldsymbol{O} \boldsymbol{H} \) is added to
\( 75 m L \) of \( 0.1 M N H_{4} C l \) to make a
basic buffer. If \( p K_{a} \) of \( N H_{4}^{+} \) is 9.26
calculate \( \boldsymbol{p} \boldsymbol{H} \)
A .4 .44
B. 7.89
c. 9.56
D. 10.76
| 1 |
Chemistry
|
\( n \)
Fig. 1.8
1.8
A. retardation is uniform
B. velocity is decreasing with time
c. beyond M, the body has negative velocity
D. all the above are correct
| 3 |
Physics
|
Which one of the following is oxidised
by \( \mathrm{MnO}_{2} ? \)
A \( \cdot \mathrm{C}_{6} \mathrm{H}_{5}-\mathrm{CH}_{2}-\mathrm{OH} \)
B. \( \mathrm{CH}_{2}=\mathrm{CH}-\mathrm{CH}_{2}-\mathrm{CH}-\mathrm{CH}_{3} \)
c. \( \mathrm{CH}_{3}-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}-\mathrm{CH}_{3} \)
D. \( \mathrm{CH}_{3}-\mathrm{CH}_{2}-\mathrm{CH}_{2}-\mathrm{OH} \)
| 1 |
Chemistry
|
What is the action of the following reagents on ammonia:
(a) Nessler's reagent
(b) Sodium metal
| 1 |
Chemistry
|
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{cl}\frac{\tan [x]-[x] \tan 1}{x} & ; \boldsymbol{x} \neq 0 \\ \boldsymbol{0} & ; \boldsymbol{x}=0\end{array}, \) then \right.
\( \boldsymbol{f}^{\prime}\left(\mathbf{0}^{-}\right) \) is [where \( [\boldsymbol{x}] \) denotes integer part
of \( \boldsymbol{x} \)
A . 0
B.
\( c \cdot-1 \)
D. Does not exist
| 2 |
Maths
|
A card sheet divided into squares each
of size \( 1 \mathrm{mm}^{2} \) is being viewed at a distance of \( 9 \mathrm{cm} \) through a magnifying glass (a converging lens of focal length \( 9 \mathrm{cm} \) ) held close to the eye.(a) What is the magnification produced by the lens? How much is the area of each
square in the virtual image?(b) What is the angular magnification (magnifying power) of the lens?(c) Is the magnification in
(a) equal to the magnifying power in (b)? Explain
| 3 |
Physics
|
Can the speed of a body be negative?
| 3 |
Physics
|
In an isosceles triangle, the base angles
are equal. The vertex angle is \( 40^{\circ} . \) What
are the base angles of the triangle? (Remember, the sum of three angles of
a triangle is \( 180^{\circ} \) ).
| 2 |
Maths
|
A number of methods are used for the
manufacture of the alkali metal
compounds. Accordingly match the processes listed in column-I with the compound(s) listed in column-II.
| 1 |
Chemistry
|
The moving air from the hair dryer removes the molecules of liquids as soon as they escape from the surface of
your hair.
Which factor of evaporation is responsible for the above example?
A. Temperature
B. Motion of air
c. Nature of liquid
D. Humidity of surrounding
| 3 |
Physics
|
How many steps are required for the following conversion?
| 1 |
Chemistry
|
A thin circular ring of mass \( M \) and
radius \( r \) is rotating about its axis with constant angular velocity \( \omega . \) Two objects each of mass \( \mathrm{m} \) are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with angular velocity given by
A \( \cdot \frac{(M+2 m) \omega}{2 m} \)
в. \( \frac{2 M \omega}{M+2 m} \)
c. \( \frac{(M+2 m) \omega}{M} \)
D. \( \frac{M \omega}{M+2 m} \)
| 3 |
Physics
|
In a transformer, in which the losses
may be neglected, the ratio of the primary voltage to secondary voltage is found to be \( 4: 1 . \) The ratio of the
primary to secondary turns and the ratio of the primary current to secondary current are respectively in
the ratio of :
\( A \cdot 4: 1 \& 1: 4 \)
B. \( 1: 4 \& 4: 1 \)
c. \( 4: 1 \& 4: 1 \)
D. \( 1: 4 \& 1: 4 \)
| 3 |
Physics
|
What is the distance in space between (1,0,5) and (-3,6,3)\( ? \)
A . 4
B. 6
c. \( 2 \sqrt{11} \)
D. \( 2 \sqrt{14} \)
E . 12
| 2 |
Maths
|
Which one of the following represents a d-block element?
\( \mathbf{A} \cdot[R n] 6 d^{10} 7 s^{2} 7 p^{2} \)
B \( \cdot[X e] 4 f^{1} 5 d^{1} 6 s^{2} \)
\( \mathbf{c} \cdot[X e] 4 f^{14} 5 d^{1} 6 s^{2} \)
D \( \cdot[X e] 5 d^{1} 6 s^{2} \)
| 1 |
Chemistry
|
Which of the following has auxin like
property?
A. \( \alpha \) -Naphthalene acetic acid
B. \( \beta \) -Naphthalene acetic acid
c. Both (A) and (B)
D. None of the above
| 0 |
Biology
|
Hybrid orbital having maximum p character is:
\( A \cdot s p^{3} d \)
В \( \cdot s p^{3} \)
c. \( s p \)
D. \( s p^{3} d^{2} \)
| 1 |
Chemistry
|
Lightning is a phenomenon
A. Electromagnetic
B. Current electricity
c. Electrochemical
D. Electrostatic
| 3 |
Physics
|
The differential equation of the family of
curve \( \boldsymbol{y}^{2}=\mathbf{4} \boldsymbol{a}(\boldsymbol{x}+\boldsymbol{a}) \) is
A \( \cdot y^{2}=4 \frac{d y}{d x}\left(x+\frac{d y}{d x}\right) \)
B. \( \quad y^{2}\left(\frac{d y}{d x}\right)^{2}+2 x y \frac{d y}{d x}-y^{2}=0 \)
c. \( y^{2} \frac{d y}{d x}+4=0 \)
D. \( 2 y \frac{d y}{d x}+4 a=0 \)
| 2 |
Maths
|
State the two laws of reflection of light.
| 3 |
Physics
|
If someone grew lots of trees close to each other, would this become a forest?
| 0 |
Biology
|
When hydrogen burns in oxygen, is produced.
A. water
B. hydrogen peroxide
c. acid
D. base
| 1 |
Chemistry
|
Which of the following isomeric pairs
shows ionization isomerism?
\( \mathbf{A} \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{6}\right]\left[\operatorname{Cr}(C N)_{6}\right] \) and \( \left[\operatorname{Cr}\left(N H_{3}\right)_{6}\right]\left[\operatorname{Co}(C N)_{6}\right] \)
\( \mathbf{B} \cdot\left[C r\left(H_{2} O\right)_{6}\right] C l_{3} \) and \( \left[C r\left(H_{2} O\right)_{5} C l\right] C l_{2} H_{2} O \)
\( \mathbf{C} \cdot\left[P t\left(N H_{3}\right)_{2} C l_{2}\right] \) and \( \left[P t\left(N H_{3}\right)_{4}\right]\left[P t C l_{4}\right] \)
\( \mathbf{D} \cdot\left[\operatorname{Co}\left(N H_{3}\right)_{5} B r\right] S O_{4} \) and \( \left[C o\left(N H_{3}\right)_{5} S O_{4}\right] B r \)
| 1 |
Chemistry
|
Matter is composed of:
A. atoms
B. molecules
C . tiny particles
D. all of the above
| 1 |
Chemistry
|
A coin tossed vertically by a passenger
sitting in a train that is moving with a
uniform velocity, still returns to his
palm. This demonstrates the principle
of.
A. Inertia(Newton's First Law of Motion)
B. Conservation of angular momentum
c. Addition of velocities of the train and the coin
D. Addition of forces due to gravity and the toss of the coin
| 3 |
Physics
|
Two coins are tossed 1000 times and
the outcomes are recorded as below:
\( \mathbf{2} \) No of heads \( \mathbf{0} \)
250 Frequency \( 200 \quad 550 \)
Based on this information, the probability for at most one head is \( \frac{a}{b} \)
Where \( (a, b)=1, \) then
A \( \cdot \frac{1}{5} \)
в.
\( c \cdot \frac{4}{5} \)
D.
| 2 |
Maths
|
Two cells, having emfs of \( 10 V \) and \( 8 V \)
respectively, are connected in series
with a resistance of \( 24 \Omega \) in the external
circuit. If the internal resistances of
each of these cells in ohm are \( 200 \% \) of
the value of their emf's respectively,
find the terminal potential difference
\( \operatorname{across} 8 V \) battery.
A \( .0 .3 A, 3.2 V \)
B. \( 0.5 A, 3.2 V \)
c. \( 0.3 A, 1.2 V \)
D. \( 0.5 A, 2.2 V \)
| 3 |
Physics
|
Total numbers of hybrid orbitals present
\( \operatorname{in} C H_{3}-C \equiv C H \) are:
\( \mathbf{A} \cdot \mathbf{8} \)
B. 6
\( c \cdot 4 \)
D.
| 1 |
Chemistry
|
If \( f(x)=\operatorname{sgn}\left(x^{5}\right) \) then which of the
following is/are false (where sgn denotes signum function) This question has multiple correct options
\( \mathbf{A} \cdot f^{\prime}\left(0^{+}\right)=1 \)
B. \( f^{\prime}\left(0^{-}\right)=1 \)
C. \( f \) is continuous but not differentiable at \( x=0 \)
D. fis discontinuous at \( x=0 \)
| 2 |
Maths
|
The capacitive reactance at \( 1600 H z \) is
81 \Omega. When the frequency is doubled then capacitive reactance will be
A . \( 40.5 \Omega \)
в. \( 81 \Omega \)
\( c \cdot 162 \Omega \)
D. Zero
| 3 |
Physics
|
Which of the following vessel in rabbit starts with capillaries and ends in
capillaries?
A. Pulmonary artery
B. Renal vein
c. Hepatic portal vein
D. Renal artery
| 0 |
Biology
|
Find the value of \( f(x)=x^{3}-3 x+5 \) at
\( \boldsymbol{x}=\mathbf{1 . 9 9} \)
| 2 |
Maths
|
Find the direction cosine \( l, \boldsymbol{m}, \boldsymbol{n} \) of line
which are connected by the relations \( \boldsymbol{l}+\boldsymbol{m}+\boldsymbol{n}=\mathbf{0} . \boldsymbol{2 m} \boldsymbol{n}+\boldsymbol{2} \boldsymbol{m} \boldsymbol{l}-\boldsymbol{n l}=\mathbf{0} \)
| 2 |
Maths
|
If \( u \) denotes 1 atomic mass unit. One
atom of an element has mass exactly equal to \( A u, \) where \( A \) is mass number
of element.
\( \mathbf{A} \cdot A=1 \)
B. \( A=12 \)
c. \( A=16 \)
D. \( A \) can take up any integral value from 1 to 110
| 3 |
Physics
|
The probability that \( A \) hit a target is
\( 1 / 4 \) and the probability that \( B \) hits the target is \( 1 / 3 . \) If each of them fired once, what is the probability that the target will be hit atleast once?
| 2 |
Maths
|
Write the structures of \( \left(\mathbf{C H}_{3}\right)_{3} \mathbf{N} \) and
\( \left(M e_{3} S i\right)_{3} N . \) Are they isostructural?
Justify your answer.
| 1 |
Chemistry
|
If the projection of point \( \boldsymbol{P}(\overrightarrow{\boldsymbol{p}}) \) on the
plane \( \vec{r} \cdot \vec{n}=q \) is the point \( S(\vec{s}), \) then?
A \( \cdot \vec{s}=\frac{(q-\vec{p} \cdot \vec{n}) \vec{n}}{|\vec{n}|^{2}} \)
В \( \cdot \vec{s}=\vec{p}+\frac{(\vec{p} \cdot \vec{n}-q)}{|\vec{n}|^{2}} \vec{n} \)
C・ \( _{\vec{s}}=\vec{p}-\frac{(\vec{p} \cdot \vec{n}) \vec{n}}{|\vec{n}|^{2}} \)
D \( \vec{s}=\vec{p}-\frac{(q-\vec{p} \cdot \vec{n}) \vec{n}}{|\vec{n}|^{2}} \)
| 2 |
Maths
|
are the non-living
components of the cell.
A. Lysosomes
B. Vacuoles
c. Nuclei
D. Golgi bodies
| 0 |
Biology
|
Which of the following are chemical changes?
(i) Melting of iron metal
(ii) Rusting of iron
(iii) Bending of an iron rod
(iv) Drawing a wire of iron metal
A. only (ii)
B. (ii) and (iii)
c. (iii) and (iv)
D. (i) and (iv)
| 1 |
Chemistry
|
What is the change in the temperature on Fahrenheit scale and on Kelvin scale,
if a iron piece is heated from \( 30^{\circ} \) to
\( 90^{\circ} \mathrm{C} ? \)
A \( \cdot 108^{\circ} F, 60 K \)
в. \( 100^{\circ} F, 55 K \)
c. \( 100^{\circ} F, 65 K \)
D. \( 60^{\circ} F, 108 K \)
| 3 |
Physics
|
\( \boldsymbol{p} \boldsymbol{H} \) of \( \boldsymbol{B a}(\boldsymbol{O H})_{2} \) solution is 12. Its
solubility product is :
A \( .5 .0 \times 10^{-7} \)
B. \( 0.6 \times 10^{-12} \)
c. \( 4.0 \times 10^{-8} \)
D. \( 5.0 \times 10^{-9} \)
| 1 |
Chemistry
|
Solve \( \& \) graph the solution set of \( -2< \)
\( 2 x-4 \) and \( -2 x+5 \geq 13, x \epsilon R \)
| 2 |
Maths
|
If \( n \) is the orbit number of the electron
in a hydrogen atom, the correct statement among the following is
A. Electron energy increases as \( n \) increases
B. Hydrogen emits infrared rays for the electron transition from \( n=\infty \) to \( n=1 \)
C. Electron energy is zero for \( n=1 \)
D. Electron energy varies as \( n^{2} \)
| 3 |
Physics
|
The functional groups present in the following compound is:
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{O H} \)
A. ketone
B. alcohol
c. aldehyde
D. carboxylate
| 1 |
Chemistry
|
Although chlorine is an electron withdrawing group yet it is ortho, para directing in nature. Why?
| 1 |
Chemistry
|
The type of teeth used to tear a
sugarcane is
A. Incisors
B. Canines
c. Premolars
D. Molars
| 0 |
Biology
|
1 Hz is:
A. 1 vibration per minute.
B. 360 vibration per minute.
C . 10 vibration per minute.
D. 60 vibration per minute.
| 3 |
Physics
|
\( \mu=\sqrt{15} \) is true for the pair:
A \( \cdot C o^{+2}, C r^{+3} \)
B. \( F e^{+2}, C r^{+3} \)
c. \( F e^{+3}, C r^{+2} \)
D. \( M n^{+2}, F e^{+2} \)
| 1 |
Chemistry
|
Of the following complex ions, one is a Bronsted-lowry acid. That one is:
\( \mathbf{A} \cdot\left[C u\left(N H_{3}\right)_{4}\right]^{2+} \)
B. \( \left[F e C l_{4}\right]^{-} \)
c. \( \left[\mathrm{Fe}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{3+} \)
D. \( _{\left[Z n(O H)_{4}\right]^{2-}} \)
| 1 |
Chemistry
|
Two cats Billy and Kitty together catch 60 mice. If Billy catches three mice for every two caught by Kitty, the number of mice caught by Kitty is
A .24
B. 30
\( c . \) 36
D. 40
| 2 |
Maths
|
If \( \frac{a+3 i}{2+i b}=1-i, \) show that \( (5 a- \) \( 7 b)=0 \)
| 2 |
Maths
|
The spontaneous change in specific rotation of an opacity active compound is called ?
A. Mutarotation
B. Rearrangements
c. Inversion
D. Retention
| 1 |
Chemistry
|
The name of the compound is cyclohexylidene methanone.
A . True
B. False
| 1 |
Chemistry
|
Evaluate \( 1.6+2.9+3.12+\ldots+ \)
\( \mathbf{n}(\mathbf{3 n}+\mathbf{3})= \)
A \( \cdot n(n+1)(n+2) \)
B. \( (n+1)(n+2)(n+3) \)
c. \( (n+2)(n+3)(n+4) \)
D. \( (n-1) n(n+1) \)
| 2 |
Maths
|
Differentiate between.
Inspiratory capacity and expiratory capacity
| 0 |
Biology
|
If the expression \( \frac{x-p}{x^{2}-3 x+2} \) takes all
real values for \( x \in R \) then find the
limits for 'p'.
| 2 |
Maths
|
\( x^{2}-2 x+1 ; 2 x \) multiply this
polynomial
| 2 |
Maths
|
What should be subtracted from \( 2 a^{2}- \)
\( b^{2}+3 a^{2} b \) to get \( a^{2}+b^{2}+3 a b^{2}-6 ? \)
| 2 |
Maths
|
Intra-abdominal testes are found in
A. Bat
B. Elephant
c. whale
D. All of the above
| 0 |
Biology
|
A mass is suspended from the end of a
spring. When the system is oscillating the amplitude of oscillation is \( 4 \mathrm{cm} \) and the maximum kinetic energy of
oscillation of the system is 1 joule.
Then the force constant of the spring is:
A. \( 2500 \mathrm{N} / \mathrm{m} \)
в. \( 1250 \mathrm{N} / \mathrm{m} \)
c. \( 500 \mathrm{N} / \mathrm{m} \)
D. \( 250 \mathrm{N} / \mathrm{m} \)
| 3 |
Physics
|
If the sum of adjacent angles of a
quadrilateral is equal to \( 180^{\circ}, \) then
quadrilateral is
A . a parallelogram
B. connex
c. concave
D. none of the above
| 2 |
Maths
|
Suggest a reason as to why \( C O \) is
poisonous.
| 1 |
Chemistry
|
Newton's law of motion cannot be
applicable to the particle moving at a speed comparable to the speed of
A. Light
B. Sound
c. Rocket
D. Bullettrain
| 3 |
Physics
|
Glycolate metabolism occurs in
A. Lysosome
B. Ribosomes
c. Glyoxysomes
D. Peroxisome
| 0 |
Biology
|
\( (x-2) \) is a factor of the expression \( x^{3}+ \)
\( a x^{2}+b x+6 . \) when this expression is
divided by \( (x-3), \) it leaves the remainder \( 3 . \) find the values of a and \( b \)
| 2 |
Maths
|
What is the average power dissipation in an ideal capacitor in AC circuit?
\( \mathbf{A} \cdot 2 C V^{2} \)
в. \( \frac{1}{2} C V^{2} \)
c. \( Z \) ero
D. \( C V^{2} \)
| 3 |
Physics
|
Which of the following factors are responsible for the increase in the rate
of a surface catalysed reaction?
I. A catalyst provides proper orientation for the reactant molecules to react
II. Heat of adsorption of reactants on a catalyst helps reactant molecules to.overcome activation energy
III. The catalyst increases the activation energy of the reaction
IV. Adsorption increases the local concentration of reactant molecules on
the surface of the catalyst Select the correct answer using the codes given below:
A . I and II
B. I and III
c. ।, ॥ land IV
D. I, II and III
| 1 |
Chemistry
|
Hygroscopic roots occur in
A. Vanda
B. Rhizophora
C . Bryophyllum
D. All the above
| 0 |
Biology
|
If \( \vec{a} \) and \( \vec{b} \) are non-collinear vectors and
\( \boldsymbol{A}=(\boldsymbol{p}+\mathbf{4} \boldsymbol{q}) \boldsymbol{a}+(\boldsymbol{2} \boldsymbol{p}+\boldsymbol{q}+\mathbf{1}) \boldsymbol{b} \)
\( \boldsymbol{B}=(-\mathbf{2} \boldsymbol{p}+\boldsymbol{q}+\mathbf{2}) \boldsymbol{a}+(\mathbf{2} \boldsymbol{p}-\boldsymbol{3} \boldsymbol{q}-\mathbf{1}) \boldsymbol{b} \)
then determine \( p \) and \( q, \) so that \( 3 A= \)
\( 2 B \)
A. \( p=1 \) and \( q=-0.3 \)
B. \( p=-1 \) and \( q=1.1 \)
C. \( p=2 \) and \( q=-1 \)
D. \( p=-2 \) and \( q=1.8 \)
| 2 |
Maths
|
The formulae of chloride of metal \( M \) is
\( M C l_{2} . \) The metal \( M \) belongs to
group.
| 1 |
Chemistry
|
The last element in period 2 is lithium
A. True
B. False
| 1 |
Chemistry
|
Name one metal that reacts slowly with
dil. sulphuric acid :
A. Iron
B. Ferrous sulphate
c. Hydrogen
D. All of these
| 1 |
Chemistry
|
The structure given below represents:
\[
\mathrm{CH}_{3}-\underbrace{\mathrm{CH}_{3}}_{\mathrm{CH}_{3}}-\mathrm{NH}_{2}
\]
A. quarternary ammonium Salt
B. primary amine.
c. secondary amine.
D. tertiary amine.
| 1 |
Chemistry
|
A converging lens (focal length \( ^{\prime} f^{\prime} \) ) is broken in two equal pieces and placed at \( 60 \mathrm{cm} \) as shown along with the
object. It is found that real images are formed at the same place and ratio of
image heights is \( 9: 1, \) if the value of \( ^{\prime} f^{\prime} \) is \( \left(22+\frac{1}{x}\right) \mathrm{cm} \) then value of \( ^{\prime} x^{\prime} \) is :
| 3 |
Physics
|
A flat, square surface with sides of length L is described by the equations. \( \boldsymbol{x}=\boldsymbol{L}, \mathbf{0} \leq \boldsymbol{y} \leq \boldsymbol{L}, \mathbf{0} \leq \boldsymbol{z} \leq \boldsymbol{L} \)
The electric flux through the square due to a positive point charge q located at the origin( \( x=0, y=0, z=0 \) ) is
A. \( \frac{q}{4 \varepsilon_{o}} \)
в. \( \frac{q}{6 \varepsilon_{o}} \)
c. \( \frac{q}{24 \varepsilon_{o}} \)
D. \( \frac{q}{48 \varepsilon_{o}} \)
| 3 |
Physics
|
The most abundant element in the
universe is:
A. helium
B. oxygen
c. silicon
D. hydrogen
| 1 |
Chemistry
|
Two balls of masses \( 2 g \) and \( 6 g \) moving with \( K E \) in the ratio of \( 3: 1, \) What is the
ratio of their linear momenta?
A . 1: 1
B . 2: 1
\( c \cdot 1: 2 \)
D. None of these
| 3 |
Physics
|
From the top of a tower, a particle is thrown vertically downwards with a velocity of \( 10 \mathrm{m} / \mathrm{s} \). The ratio of the
distances, covered by it in the \( 3^{r d} \) and
\( 2^{n d} \) seconds of the motion is (Take \( g= \)
\( \left.\mathbf{1 0 m} / \boldsymbol{s}^{2}\right) \)
A . 5: 7
B. 7: 5
\( c \cdot 3: 6 \)
D. 6: 3
| 3 |
Physics
|
What is the value of \( \sqrt{441} ? \)
A . 20
в. 2
\( c \cdot 22 \)
D. None of these
| 2 |
Maths
|
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