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Chlorophyll, the green colouring matter of plants, contains \( 2.68 \% \) of magnesium by mass. Calculate the number of magnesium atoms in 3.00 g of chlorophyll. [Atomic mass of magnesium \( =24.3 \mathrm{g}] \)
| 1 |
Chemistry
|
A spherical conducting shell of inner
radius \( r_{1} \) and outer radius \( r_{2} \) has a
charge \( Q \)
(a) A charge q is placed at the centre of the shell. What is the surface charge
density on the inner and outer surfaces of the shell?
(b) Is the electric field inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.
| 3 |
Physics
|
Let the perpendiculars from any point on the line \( 2 x+11 y=5 \) upon the lines
\( 24 x+7 y-20=0 \) and \( 4 x-3 y-2= \)
0 have the lengths \( p_{1} \) and \( p_{2} \)
respectively. Then,
A \( \cdot 2 p_{1}=p_{2} \)
B . \( p_{1}=p_{2} \)
\( \mathbf{c} \cdot p_{1}=2 p_{2} \)
D. None of these
| 2 |
Maths
|
Lucky started working 2 years ago. Her starting salary was half of Karthik's salary at that time. Each year since then Lucky and Karthik have received a rise of \( 10 \% \) in their respective salary. What percentage (to the nearest percent) of Karthik's current salary is Lucky's
current salary?
| 2 |
Maths
|
Explain the formation of a chemical
bond.
| 1 |
Chemistry
|
The \( C a(O H)_{2} \) is \( 4.42 \times 10^{-5} \) at \( 25^{\circ} C \)
with \( 500 m L \) of saturated solution of
\( C a(O H)_{2} \) is mixed with equal volume
of \( 0.4 M \) NaOH. How much \( C a(O H)_{2} \)
in \( m g \) is precipitated?
| 1 |
Chemistry
|
A ball of mass \( 0.20 \mathrm{kg} \) falls freely from a certain height and rebounds elastically
with a speed of \( 40 \mathrm{ms}^{-1} . \) The change in momentum of the ball is:
A \( \cdot 4 k g m s^{-1} \)
B. \( 8 \mathrm{kg} \mathrm{ms}^{-1} \)
c. \( 16 k g m s^{-1} \)
D. \( 40 \mathrm{kg} \mathrm{ms}^{-1} \)
| 3 |
Physics
|
The density of a mixture of \( N_{2} \) and \( O_{2} \) at
NTP is \( 1.3 g L^{-1} \). Calculate partial
pressure of \( \boldsymbol{O}_{2} \)
| 1 |
Chemistry
|
Which one of the following is used as a disinfectant in water treatment?
A. Alum
B. Charcoal
c. Kieselguhr
D. Potassium permanganate
| 1 |
Chemistry
|
A concave mirror produces a real image of half the size of an object placed at 60 \( \mathrm{cm} \) infront of it. Where should the object
be placed to obtain a virtual image of double the size of the object?
| 3 |
Physics
|
If the interior angle of a regular polygon
exceeds the exterior angle by \( 132^{\circ}, \) then the number of sides of the polygon is :
A . 15
B. 14
c. 13
D. 12
| 2 |
Maths
|
A circular coil of radius \( 10 \mathrm{cm} \) having
100 turns carries a current of 3.2 A. The magnetic field at the centre of the coil
is:
A . 2.01 \( \times 10^{-3} T \)
B. 5.64 \( \times 10^{-3} T \)
c. \( 2.64 \times 10^{-4} T \)
D. 5.64 \( \times 10^{-4} T \)
| 3 |
Physics
|
Presbyopia can be corrected with the help of
A. Bifocal lens
B. Diverging lens
c. convex lens
D. All of the above
| 3 |
Physics
|
Write the relation for the speed of
electromagnetic waves in terms of the
amplitudes of electric and magnetic fields.
| 3 |
Physics
|
The molar conductivities \( \wedge^{0}_{N a} O A c \) and
\( \wedge^{0}_{H C l} \) at infinite dilution in water at \( 25^{0} \)
\( \mathrm{C} \) are 91.0 and \( 426.2 \mathrm{Scm}^{2} / \mathrm{mol} \)
respectively. To calculate \( \wedge^{0}_{H O A c} \), the additional
value required is :
\( \mathbf{A} \cdot \wedge^{0} H_{2} O \)
B . \( \wedge^{0} \)кСl
c. \( \wedge_{N a O H}^{0} \)
D. \( \wedge^{0} \)Nacl
| 1 |
Chemistry
|
Mark the statement which is true for
diffused reflection:
A. Diffused reflection is due to failure of laws of reflection
B. It is caused due to irregularities in the reflecting surface
c. When the incident light is diffused in nature it causes diffused reflection
D. All are true
| 3 |
Physics
|
Give two uses of sulphur dioxide.
| 1 |
Chemistry
|
Balance the following redox reactions:
\[
\boldsymbol{I}_{2}(\boldsymbol{s})+\boldsymbol{O} \boldsymbol{C l}^{-}(\boldsymbol{a} \boldsymbol{q}) \longrightarrow \boldsymbol{I} \boldsymbol{O}_{3}^{-}(\boldsymbol{a} \boldsymbol{q})+
\]
\( \boldsymbol{C l}^{-}(\boldsymbol{a} \boldsymbol{q}) \)
\( \mathbf{A} \cdot I_{2}(s)+5 O C l^{-}(a q)+H_{2} O(l) \longrightarrow 2 I O_{3}^{-}(a q)+ \)
\[
5 C l^{-}(a q)+2 H^{+}(a q)
\]
B \( \cdot I_{2}(s)+5 O C l^{-}(a q)+2 H_{2} O(l) \longrightarrow I O_{3}^{-}(a q)+ \)
\[
4 C l^{-}(a q)+2 H^{+}(a q)
\]
\( \mathbf{c} \cdot I_{2}(s)+3 O C l^{-}(a q)+4 H_{2} O(l) \longrightarrow I O_{3}^{-}(a q)+ \)
\( 4 C l^{-}(a q)+2 H^{+}(a q) \)
\( \mathbf{D} \cdot I_{2}(s)+5 O C l^{-}(a q)+7 H_{2} O(l) \longrightarrow I O_{3}^{-}(a q)+ \)
\( 5 C l^{-}(a q)+2 H^{+}(a q) \)
| 1 |
Chemistry
|
Let \( \boldsymbol{f}: \boldsymbol{R} \rightarrow \boldsymbol{R} \) be a function defined by
\( f(x)=\frac{e^{x}-e^{-x}}{e^{x}+e^{-x}} \) then
A. \( f \) is a bijection
B. \( f \) is an injection only
c. \( f \) is a surjection
D. \( f \) is neither an injection nor a surjection
| 2 |
Maths
|
The number of line symmetries that the
given figure have- -
\( A \)
B. 3
\( c \cdot 2 \)
D.
| 2 |
Maths
|
The given figure shows a network of
currents. The current \( i \) is
A . 23 A
B. 22 A
\( c \cdot 20 A \)
D. 25 A
| 3 |
Physics
|
State True or False.
A rational number can always be written in what as a fraction \( \frac{a}{b}, \) where a
and b are not integers \( (\boldsymbol{b} \neq \mathbf{0}) \)
A. True
B. False
| 2 |
Maths
|
What is the structural formula of
fumaric acid?
\( A \)
\[
\text { HOOC }-\mathbf{C}-\mathbf{C H}_{3}
\]
B.
\[
\mathbf{H}_{3} \mathbf{C}-\mathbf{C}-\mathbf{C O O H}
\]
\( c \)
D.
HOOC \( -\mathbf{C}-\mathbf{H} \)
| 1 |
Chemistry
|
A particle moves along the \( x \) -axis
according to the equation \( \boldsymbol{x}= \)
10 \( \sin 3(t) \). The amplitudes and
frequencies of component SHMs are
A \( \cdot \) amplitude \( \frac{30}{4}, \frac{10}{4} ; \) frequencies \( \frac{3}{2}, \frac{1}{2} \)
B. amplitude \( \frac{30}{4}, \frac{10}{4} ; \) frequencies \( \frac{1}{2}, \frac{3}{2} \)
C. amplitude 10,\( 10 ; \) frequencies \( \frac{1}{2}, \frac{1}{2} \)
D. amplitude \( \frac{30}{4}, 10 ; \) frequencies \( \frac{3}{2}, 2 \)
| 3 |
Physics
|
For electrolytes, Ohm's Law may be written as:
A \( \cdot \frac{V}{I}=R \)
B. \( \frac{V+V_{b a c k}}{I}=R \)
c. \( \frac{V-V_{b a c k}}{I}=R \)
D. \( \frac{V_{b a c k-V}}{I}=R \)
| 3 |
Physics
|
Write down four differences between
interference and diffraction:
| 3 |
Physics
|
In \( _{88} R a^{226} \) nucleus there are
A. 226 protons and 88 electrons
B. 138 protons and 88 neutrons
c. 226 neutrons and 138 electrons
D. 138 neutrons and 88 protons
| 3 |
Physics
|
What is the speed of the proton when it is \( 8 A \) away from the nucleus?
A \( \cdot 1.85 \times 10^{5} \mathrm{ms}^{-1} \)
В. \( 1.85 \times 10^{4} m s^{-1} \)
c. \( 1.85 \times 10^{3} m s^{-1} \)
D. \( 1.85 \times 10^{2} \mathrm{ms}^{-1} \)
| 3 |
Physics
|
Short / long answer type questions. Oxygenation of blood promotes the
release of \( C O_{2} \) from the blood in lungs. Explain
| 0 |
Biology
|
A person is moving on a rough horizontal surface towards east. Then
the direction of friction force is towards
A. west
B. east
c. north
D. cant say depends on the situation
| 3 |
Physics
|
The IUPAC name of above compound is:
A. 2 -chlorocarbonylethylbenzoate
B. 2-carboxyethylbenzoylchloride
C. Ethyl-2-(chlorocarbonyl)benzoate
D. ethyl-1-(chlorocarbonyl)benzoate
| 1 |
Chemistry
|
\( Q \) Type your ques
same material, A is solla but b is
hollow. These are connected by an idea
spring and this system is kept over a
smooth plank such that center of mass of two balls coincide with mid point of
the plank. Initially the spring is
compressed by a certain amount and
the plank is in horizontal position. Now
we release the system then,
A. Plank will rotate clock wise
B. Plank will rotate anti clock wise
C. Plank will not rotate
It will depend upon st
| 3 |
Physics
|
In meiosis, centromere divides during
A. Prophase
B. Metaphase
c. Anaphase
D. Anaphase II
| 0 |
Biology
|
In the hydrolytic equilibrium;
\( \boldsymbol{B}^{+}+\boldsymbol{H}_{2} \boldsymbol{O} \rightleftharpoons \boldsymbol{B} \boldsymbol{O} \boldsymbol{H}+\boldsymbol{H}^{+} \)
\( K_{b}=1 \times 10^{-5} . \) The hydrolysis constant
is:
A \( \cdot 10^{-5} \)
\( ^{5} \)
B . \( 10^{-19} \)
c. \( 10^{-10} \)
D. \( 10^{-9} \)
| 1 |
Chemistry
|
Yasmeen wrote few series of
hydrocarbon and left blanks in between.
Look at the chemical formula in the
series of hydrocarbon carefully. Answer
the following questions accordingly.
\( \begin{array}{cccc}1 & \mathrm{II} & \mathrm{III} \\ C H_{4} & C_{2} H_{4} & \mathrm{X} \\ C_{2} H_{6} & C_{3} H_{6} & C_{3} H_{4} \\ \mathrm{Y} & C_{4} H_{8} & C_{4} H_{6} \\ C_{4} H_{10} & \mathrm{z} & C_{5} H_{8}\end{array} \)
X and Y respectively are:
\( \mathbf{A} \cdot C_{2} H_{2} \) and \( C_{3} H_{8} \)
B. \( C_{2} H_{2} \) and \( C_{4} H_{10} \)
\( \mathbf{c} \cdot C_{2} H_{2} \) and \( C_{3} H_{6} \)
\( \mathbf{D} \cdot C_{2} H_{4} \) and \( C_{3} H_{8} \)
| 1 |
Chemistry
|
How the man's
respiration will be affected if he ascends
a height of 25000 feet
A. No effect on respiration
B. Respiratory rate will be decreased
C. Respiratory rate will be increased
D. Anything can happen
| 0 |
Biology
|
Select the correct option regarding
features present in
Butterfly Haemoç
(4)
| 0 |
Biology
|
The lymph is ....... in nature.
A. Solid
B. Liquid
c. Semi-solid
D. Gas
| 0 |
Biology
|
At what approximate temperature, zinc
and carbon have equal affinity for
oxygen?
A \( \cdot 1000^{\circ} \mathrm{C} \)
В. \( 1500^{\circ} \mathrm{C} \)
\( c \cdot 500^{\circ} C \)
D. \( 1200^{\circ} \mathrm{C} \)
| 1 |
Chemistry
|
Plutonium decays with a half life of 24,000 years. If plutonium is stored for 72,000 years, the fraction that remains is:
A. \( 1 / 2 \)
в. 1/4
c. \( 1 / 6 \)
D. \( 1 / 8 \)
| 3 |
Physics
|
In the given reaction, alkaline \( \mathrm{KMnO}_{4} \) behaves as :
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}- \)
\( \boldsymbol{O H} \stackrel{\text {Alkaline } \boldsymbol{K M n O}_{4}+\boldsymbol{H e a t}}{\boldsymbol{N}} \boldsymbol{C H}_{3}- \)
COOH
A. reducing agent
B. oxidising agent
c. catalyst
D. dehydrating agent
| 1 |
Chemistry
|
Write a short note on N type
semiconductor
| 3 |
Physics
|
Evaluate the following:
\( ^{35} \boldsymbol{C}_{35} \)
| 2 |
Maths
|
The radius of an atom is of the order of:
A \( \cdot 10^{-10} \mathrm{cm} \)
B . \( 10^{-13} \mathrm{cm} \)
\( c \cdot 10^{-15} \mathrm{cm} \)
\( D \cdot 10^{-8} \mathrm{cm} \)
| 3 |
Physics
|
Equilibrium constant for the following
reaction is \( 1 \times 10^{-9} \)
\( \boldsymbol{C}_{5} \boldsymbol{H}_{5} \boldsymbol{N}(\boldsymbol{a} \boldsymbol{q} \cdot)+\boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{l}) \rightleftharpoons \)
\( \boldsymbol{C}_{5} \boldsymbol{H}_{5} \boldsymbol{N} \boldsymbol{H}^{+}(\boldsymbol{a} \boldsymbol{q} \cdot)+\boldsymbol{O} \boldsymbol{H}^{-}(\boldsymbol{a} \boldsymbol{q} \cdot) \)
Determine the mole of pyridinium
chloride \( \left(C_{5} H_{5} N . H C I\right) \) that should be
added to \( 500 \mathrm{mL} \) solution of \( 0.4 \mathrm{M} \)
pyridine \( \left(C_{5} H_{5} N\right) \) to obtain a buffer
solution of \( \mathrm{pH}=5 \)
A. 0.1 mole
B. 0.2 mole
c. 0.3 mole
D. 0.4 mole
| 1 |
Chemistry
|
Chloramine-T is used as:
A . antipyretic
B. analgestic
c. antiseptic
D. disinfectant
| 1 |
Chemistry
|
The domain of the function \( f(x)= \) \( \frac{\sin ^{-1}(x-3)}{\sqrt{9-x^{2}}} \) is
A . [2,3]
в. [1,2]
c. [1,2]
D. [2,3)
| 2 |
Maths
|
\( \boldsymbol{C H}_{2}=\boldsymbol{C H}_{2}+\boldsymbol{B r}_{2} \stackrel{N a C l}{\longrightarrow} \quad \boldsymbol{P r o d u c t s} \)
Which of the following product is not formed in the above reaction?
\( \mathbf{A} \cdot B r C H_{2} C H_{2} B r \)
в. \( C l C H_{2} C H_{2} C l \)
c. \( B r C H_{2} C H_{2} C l \)
D. All are formed
| 1 |
Chemistry
|
Obtain the sum of the first 56 terms of
an A.P whose \( 25^{t h} \) and \( 32^{n d} \) terms are 52
and 148 respectively.
| 2 |
Maths
|
\( X Y_{2} \) dissociates as:
\( \boldsymbol{X} \boldsymbol{Y}_{2}(\boldsymbol{g}) \rightleftharpoons \boldsymbol{X} \boldsymbol{Y}(\boldsymbol{g})+\boldsymbol{Y}(\boldsymbol{g}) \)
When the initial pressure of \( X Y_{2} \) is 600 \( \mathrm{mm} H g, \) the total equilibrium pressure is \( 800 \mathrm{mm} \) Hg. Calculate \( K \) for the reaction assuming that the volume of the system remains unchanged.
A. 50
в. 100
c. 166.6
D. 400.0
| 1 |
Chemistry
|
Integrate with respect to \( x \).
\( e^{x} \sin x \)
| 2 |
Maths
|
A current of 2 A passing through conductor produces 80 J of heat in 10 seconds. The resistance of the
conductor is -
A . \( 0.5 \Omega \)
B. 2\Omega
\( c .4 \Omega \)
D. 20\Omega
| 3 |
Physics
|
Two oxides of a metal contain \( 50 \% \) and
\( 40 \% \) of the metal respectively. The formula of the first oxide is \( M O \). The
formula of the second oxide is :
A. \( M O_{2} \)
B. \( M_{2} O_{3} \)
c. \( M_{2} O \)
D. \( M_{2} O_{5} \)
| 1 |
Chemistry
|
Numbers of geometric isomers of
\( P B r_{2} C l_{3} \) molecule which have non-zero
dipole moment are:
| 1 |
Chemistry
|
Find the direction cosines of the vector
\( \hat{\mathbf{i}}+\mathbf{2} \hat{\mathbf{j}}+\mathbf{3} \hat{\boldsymbol{k}} \)
| 2 |
Maths
|
What function is performed by
Condenser in a refrigerator?
A. To deliver the heat to the heat pump
B. To deliver the heat to the evaporator
C. To deliver the heat to the refrigerator
D. To deliver the heat to the atmosphere
| 3 |
Physics
|
The points moving downwards is/are
\( A \)
\( B \)
\( c \cdot d \)
D
| 3 |
Physics
|
The probability of an event \( A+ \) Probability of the event 'not \( A^{\prime}= \)
| 2 |
Maths
|
Product formed by the activity of malic dehydrogenase in the TCA cycle is
A. Fumaric acid
B. Malic acid
c. Oxaloacetic acid.
D. succinic acid
| 0 |
Biology
|
Which of the following is not a criterion for congruence of triangles?
A. SAS
B. ASA
\( c \cdot \operatorname{ssa} \)
D. sss
| 2 |
Maths
|
Emf of hydrogen electrode in term of \( p H \)
is (at 1 atm pressure).
\( ^{\mathbf{A}} \cdot_{E_{H_{2}}}=\frac{R T}{F} \times p H \)
В. \( \quad E_{H_{2}}=\frac{R T}{F} \frac{1}{p H} \)
c. \( \quad E_{H_{2}}=\frac{2.303 R T}{F} p H \)
D. \( E_{H_{2}}=-0.0591 p H \)
| 1 |
Chemistry
|
What are 3 main parts of cell?
| 0 |
Biology
|
At point \( x=1, \) the function \( f(x)= \) \( \left\{\begin{array}{ll}x^{3}-1 ; & 1<x<\infty \\ x-1 ; & -\infty<x \leq 1\end{array}\right. \)
A. continuous and differentiable
B. continuous but not differentiable
c. discontinuous and differentiable
D. discontinuous and not differentiable
| 2 |
Maths
|
Copper metal is a:
A. good conductor of electricity
B. bad conductor of electricity
C . magnetic substance
D. bad conductor of heat
E. none of these
| 3 |
Physics
|
Which of the following compounds is optically active?
A. \( 1- \) Bromobutane
B. 2- Bromobutane
c. 1 -Bromo-2-methylpropane
D. 2-Bromo-2-methylpropane
| 1 |
Chemistry
|
\( \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{- 1} & \mathbf{1} \\ \mathbf{2} & \mathbf{1} & -\mathbf{3} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}\end{array}\right] \) and \( \boldsymbol{B}= \)
\( \left[\begin{array}{ccc}4 & 2 & 2 \\ -5 & 0 & \alpha \\ 1 & -2 & 3\end{array}\right] \) If \( B \) is the adjoint of \( A \)
then \( \alpha \) equals
A .2
в.
\( c \cdot-2 \)
D.
| 2 |
Maths
|
Find the volume of a hemisphere whose radius is \( \left.7 \mathrm{cm} . \text { (use } \pi=\frac{22}{7}\right) \)
A \( \cdot 112.66 \mathrm{cm}^{3} \)
в. \( 718.66 \mathrm{cm}^{3} \)
c. \( 12.66 \mathrm{cm}^{3} \)
D. \( 132.66 \mathrm{cm}^{3} \)
| 2 |
Maths
|
\( \int_{0}^{\infty} \frac{x \tan ^{-1} x}{\left(1+x^{2}\right) x^{2}} d x \)
A \( \cdot \frac{\pi}{2} \log 2 \)
B.
c.
D.
| 2 |
Maths
|
If \( \boldsymbol{y}=\tan \boldsymbol{x}+\cot \boldsymbol{x} \) find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \)
| 2 |
Maths
|
Which of the following is non-vascular?
A. Nervous tissue
B. Connective tissue
c. Epithelial tissue
D. Muscular tissue
| 0 |
Biology
|
Four equal electric charges are arranged at the four corners of a square of side \( a . \) Out of these four charges, two
charges are positive and placed at the ends of one diagonal. The other two charges are positive and placed at the ends of the other diagonal. The energy of
the system is:
This question has multiple correct options
A. Negative
B. Positive
\( ^{\mathrm{C}} \). \( _{\text {Less than }} \frac{1}{4 \pi \varepsilon_{0}}\left(\frac{2 q^{2}}{a}\right) \)
Deater than \( \frac{1}{4 \pi \varepsilon_{0}}\left(\frac{2 q^{2}}{a}\right) \)
| 3 |
Physics
|
When brakes are applied to a bus, the
retardation produced is \( 25 \mathrm{cm} \mathrm{s}^{-2} \) and
the bus takes \( 20 s \) to stop. Calculate the initial velocity of the bus.
\( \mathbf{A} \cdot 5 m s^{-1} \)
B. \( 10 m s^{-1} \)
\( \mathbf{c} \cdot 15 m s^{-1} \)
D. \( 20 m s^{-1} \)
| 3 |
Physics
|
A wire of length L and three identical cells of negligible internal resistance are connected in series. Due to the
current, the temperature of the wire is raised by \( \triangle T \) in time t. N identical cells
are now connected in series with a wire
of length \( 2 L \) of same material and across-section. The temperature is raised by same amount \( \triangle \boldsymbol{T} \) in same
time t. The value of N is
A. 6
B. 4
\( c \cdot 8 \)
\( D \)
| 3 |
Physics
|
Solve for \( \boldsymbol{x}: \boldsymbol{3} \boldsymbol{x}=\frac{\boldsymbol{2} \mathbf{0}}{\mathbf{7}}-\boldsymbol{x} \)
A \( \cdot \frac{2}{7} \)
B.
\( c \cdot \frac{4}{7} \)
D.
| 2 |
Maths
|
Ferromagnetic materials have their
properties due to
A. vacant inner subshells
B. partially filled inner subshells
C. filled inner subshells
D. completely filled outer shells
| 3 |
Physics
|
Van't Hoff factor, when benzoic acid is
dissolved in benzene, will be:
A . 2
B.
\( c .0 .5 \)
D. 1.5
| 1 |
Chemistry
|
Ecological succession in a hydrosere
includes
A. Increase in species diversity
B. Increase in structural complexity
c. Increase in organic matter
D. All of the above
| 0 |
Biology
|
A company makes a metallic block having square bases with volume 640
\( c m^{3}, \) and height \( 10 \mathrm{cm} . \) If Robin wants to paint the block with the paints at the
rate of Rs 15 per \( c m^{2} \), then find the cost
of painting Robin has to pay.
A . Rs 5680
B. Rs 6595
c. Rs 6720
D. Rs 6690
| 2 |
Maths
|
Which of the following is not physically
change? Magnetizing of a piece of iron.
| 1 |
Chemistry
|
If \( \boldsymbol{A}=\left(\begin{array}{cc}1 & -2 \\ -\mathbf{3} & 4\end{array}\right) \) and \( \boldsymbol{A}+\boldsymbol{B}=\boldsymbol{O}, \) then \( \mathbf{B} \) is
A \( \cdot\left(\begin{array}{cc}1 & -2 \\ -3 & 4\end{array}\right) \)
B. \( \left(\begin{array}{c}-1 \\ 3\end{array}\right) \)
c. \( \left(\begin{array}{cc}-1 & -2 \\ -3-4\end{array}\right) \)
D. \( \left(\begin{array}{c}1 \\ 0 \\ 0\end{array}\right) \)
| 2 |
Maths
|
The number of oxygen atoms in 1 mol of the tetrahydrocannabinol is where, \( N_{A}=6.023 \times 10^{23} \)
A \( .2 N_{A} \)
в. \( N_{A} \)
\( c \cdot 3 N_{A} \)
D. \( 4 N_{A} \)
| 1 |
Chemistry
|
Convert the following into percentage:
\( \frac{5}{12} \)
| 2 |
Maths
|
The structure of diborane \( \left(B_{2} H_{6}\right) \)
contains:
A. Four \( 2 C-2 e \) bonds and two \( 3 C 2 e \) bonds
B. Two \( 2 C-2 e \) bonds and two \( 3 C 2 e \) bonds
c. Two \( 2 C-2 e \) bonds and four \( 3 C 2 e \) bonds
D. Four \( 2 C-2 e \) bonds and four \( 3 C 2 e \) bonds
| 1 |
Chemistry
|
Why is sulphur dioxide considered as
an air pollutant?
A. It increases the temperature of the atmosphere.
B. It is used as insecticide which causes air pollution.
C. It causes acid rain due to formation of sulphuric acid on combining with \( O_{2} \) and \( H_{2} O \)
D. It is a strong oxidising agent hence oxidises the other components of air.
| 1 |
Chemistry
|
What is the equation of the plane containing the parallel lines
\( \boldsymbol{r}=\boldsymbol{a}+\boldsymbol{t c}, \boldsymbol{r}=\boldsymbol{b}+\boldsymbol{p} \boldsymbol{c} \)
\( \mathbf{A} \cdot r \cdot(b-a) \times c=[a b c] \)
B \cdot \( r \cdot(a-b) \times c=[a b c] \)
C \( \cdot r \cdot(b-a) \times c=-[a b c] \)
D \( \cdot r c \times(b-a) \times c=[a b c] \)
| 2 |
Maths
|
Which of the following is the shortest phase of meiosis?
A. Prophase
B. Metaphase I
c. Anaphase I
D. Prophase II
E. Metaphase II
| 0 |
Biology
|
The structures develops into the seed once fertilization has occurred is
A. Integument
B. cotyledon
c. Ovule
D. Ovary
E. Endosperm
| 0 |
Biology
|
Give reason
Metals are regarded as electropositive elements.
| 1 |
Chemistry
|
Find the common difference of an \( A P \)
whose first term is 100 and the sum of
whose first six terms is five times the
sum of the next six terms.
A . 15
B. -10
c. -20
D. 30
| 2 |
Maths
|
Explain ground wave propagation.
| 3 |
Physics
|
The electric charge for electrode deposition of 1 g equivalent of a substance is:
A. 1 ampere per second
B. 96500 Coulombs per second
c. 1 ampere for one hour
D. The charge on one mole of electrons
| 1 |
Chemistry
|
Which of the following molecules is/are dimagnetic?
This question has multiple correct options
A \( \cdot L i_{2} \)
в. \( B_{2} \)
c. \( C_{2} \)
D. \( N_{2} \)
| 1 |
Chemistry
|
Calculate the scalar product of the following vectors
Given two vectors \( \boldsymbol{a}= \)
\{-1,1,1\} and \( b=\{2,0,1\} . \) Find the
vector \( x \) if it is known that it is coplanar with the plane of the vectors a and b, is perpendicular to the vector
\( b, \) and \( a x=7 \)
| 2 |
Maths
|
A body of mass \( 60 k g \) has the
momentum \( 3000 k g m s^{-1} . \) Calculate the
speed of the body.
\( \mathbf{A} \cdot 5 m s^{-1} \)
B . \( 0.05 m s^{-1} \)
\( \mathrm{c} \cdot 50 \mathrm{ms}^{-1} \)
D. \( 500 m s^{-1} \)
| 3 |
Physics
|
Lateral root arises from
A. Pericycle
B. Cortex
c. Pith
D. Endodermis
| 0 |
Biology
|
By using the elementary
transformation, find the inverse of the \( \operatorname{matrix} \boldsymbol{A}=\left[\begin{array}{cc}\mathbf{1} & -\mathbf{2} \\ \mathbf{2} & \mathbf{1}\end{array}\right] \)
| 2 |
Maths
|
Remedy for a bee sting is baking soda whereas wasp sting is cured with vinegar.Why?
A. Vinegar is better than baking soda
B. Baking soda has side effects
c. Bee sting is acidic while wasp sting is slightly basic
D. Vinegar has more remedial properties
| 1 |
Chemistry
|
A car drives along straight level frictionless road by an engine delivering constant power. Then velocity is directly proportional to?
\( A \cdot t \)
B. \( \frac{1}{\sqrt{t}} \)
\( c \cdot \sqrt{t} \)
D. None of these
| 3 |
Physics
|
The \( D . E \) of the family of circles
touching \( X- \) axis at (0,0) is
The \( D . E \) of the family of circle passing through the origin and having their centre on \( \boldsymbol{Y}-\boldsymbol{a} \boldsymbol{x} \boldsymbol{i} \boldsymbol{s} \) is
A \( \cdot \frac{d y}{d x}=\frac{2 x y}{x^{2}-y^{2}} \)
в. \( \frac{d y}{d x}=\frac{x^{2}-y^{2}}{2 x y} \)
c. \( \frac{d y}{d x}=x^{2}-y^{2} \)
D. \( \frac{d y}{d x}+\frac{x}{y}=0 \)
| 2 |
Maths
|
Which apparatus are used to measure
Y of a wire and shear modulus of the
wire?
This question has multiple correct options
A. Searle's Apparatus, Ewing extensometer
B. Searle's Apparatus, Maxwell needle method
c. Searle's Apparatus, Torsion pendulum
D. Kundt's Apparatus, Searle's Apparatus
| 3 |
Physics
|
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