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The diameter of an objective of a telescope, which can just resolve two stars situated at an angular
displacement of \( 10^{-4} \) degree, should be
\( \left(\lambda=5000 A^{0}\right) \)
A. 35 mm
B. 35 cm
\( c \cdot 35 m \)
D. None of the above
| 3 |
Physics
|
The displacement of a body is given to be proportional to the cube of time elapsed. If the accerlation is \( x k t \) (where
\( k \text { is proportionality constant }) . \) Find \( x ? \)
| 3 |
Physics
|
The uncertainty in position of an electron \( \left(\boldsymbol{m}=\mathbf{9 . 1} \times \mathbf{1 0}^{-\mathbf{2 8}} \mathbf{g m}\right) \) moving
with a velocity \( 3 \times 10^{4} \mathrm{cm} / \mathrm{s} \) accurate
upto \( 0.001 \% \) will be:
\( A . \quad 3.84 \mathrm{cm} \)
B. 1.92 \( \mathrm{cm} \)
c. \( 7.68 \mathrm{cm} \)
D. 5.76 cm
| 1 |
Chemistry
|
The muscular energy required by our body is given to us by:
A. Air
B. water
c. oxygen
D. Food
| 3 |
Physics
|
\( \mathbf{1} \mathbf{0}^{\mathbf{1} \mathbf{0}^{\log _{\mathbf{1 0}} \csc (\mathbf{1 0 x})} \text { differentiate w.r.t. } \boldsymbol{x}} \)
| 2 |
Maths
|
Which of the following elements behaves as a typical non metal?
A.
B. Se
c. \( \mathrm{T} \)
D. Po
| 1 |
Chemistry
|
Atoms of different elements combine in
A. unequal ratios.
B. prime number ratios.
C. equal ratios.
D. whole number ratios
| 1 |
Chemistry
|
Buckminsterfullerene is an allotropic
form of:
A. phosphorus
B. sulphur
c. carbon
D. tin
| 1 |
Chemistry
|
Use analytical geometry to prove that the mid-point of the hypotenuse of a right-angled triangle is equidistant from its vertices.
| 2 |
Maths
|
Which of the following is the greatest user of ground water?
A. Chemical purposes
B. Rural water supply
c. Agriculture
D. None of the above
| 0 |
Biology
|
The density \( \left(\operatorname{in} g m l^{-1}\right) \) of a 3.60 M
sulphuric acid solution that is \( 29 \% \)
\( H_{2} S O_{4}\left(\text { Molar mass }=98 \mathrm{g} \mathrm{mol}^{-1}\right) \mathrm{by} \)
mass will be:
A .1 .64
B. 1.88
c. 1.22
D. 1.45
| 1 |
Chemistry
|
Bleaching powder is needed in the manufacture of chloroform.
A. True
B. False
| 1 |
Chemistry
|
The correct IUPAC name is:
\[
\mathrm{CH}_{3} \mathrm{CH}=\mathrm{C}(\mathrm{COOH}) \mathrm{CH}_{2} \mathrm{CH}_{3}
\]
A. 3 -carboxy- 2 -pentene
B. 2 -ethilidene butanoic acid
C. 2 -ethyl-2-butenoic acid
D. 3 -ethyl-2-buten-4-oic acid
| 1 |
Chemistry
|
From the artg of the periodic table given, answer the following questions
\[
\begin{array}{l}
1 \\
\text { litium }
\end{array}
\]
\( 13 \quad \) carbon
\( \mathbf{1 5} \)
\[
X
\]
\( Y \)
\( Z \)
Name the family of \( L, Q, R, T \).
| 1 |
Chemistry
|
\( N H_{4} C I(s) \) is heated in a test tube,
vapours are brought in contact with red litmus paper, which changes to blue
and then to red. it is because of :
A . formation of \( N H_{4} O H \) and \( H C I \)
B. formation of \( N H_{3} \) and \( H C I \)
c. greater diffusion of \( N H_{3} \) than \( H C I \)
D. grater diffusion of \( H C I \) than \( N H_{3} \)
| 1 |
Chemistry
|
Solve \( \lim _{x \rightarrow \infty} \frac{\sqrt{x^{2}+1}-\sqrt[3]{x^{2}+1}}{\sqrt[4]{x^{4}+1}-\sqrt[5]{x^{4}+1}} \)
| 2 |
Maths
|
Two coins are tossed simultaneously.
Write the sample space \( S \) and the
number of sample point \( n(S) . A \) is the
event of getting at least one head. Write
the event \( A \) in set notation and find
\( \boldsymbol{n}(\boldsymbol{A}) \)
| 2 |
Maths
|
Identify the reagent \( A \)
A. Conc.Sulphuric acid
B. Alcoholic KOH
c. Triethyl amine
D. t-Buok
| 1 |
Chemistry
|
Let \( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{x} \sqrt{\mathbf{4} \boldsymbol{a} \boldsymbol{x}-\boldsymbol{x}^{2}},(\boldsymbol{a}>\mathbf{0}) . \) Then
\( f(x) \) has range in
A. \( (0,3 a) \)
В. \( (a, 4 a) \)
c. \( (0,4 a) \)
D. None of the above
| 2 |
Maths
|
Which of the following is an experiment?
A. Tossing a coin
B. Rolling a single 6 - sided dice
c. choosing a marble from a jar
D. All of the above
| 2 |
Maths
|
In active transport, ATP energy is used by carrier proteins to transport materials
A. Against concentration gradient across cell membrane
B. Against concentration gradient across cell wall
c. Along concentration gradient across cell wall
D. Along concentration gradient across cell membrane
| 0 |
Biology
|
Let \( X \) be a random variable which
assumes values \( x_{1}, x_{2}, x_{3}, x_{4} \) such that
\( \mathbf{2} \boldsymbol{P}\left(\boldsymbol{X}=\boldsymbol{x}_{1}\right)=\mathbf{3} \boldsymbol{P}\left(\boldsymbol{X}=\boldsymbol{x}_{2}\right)=\boldsymbol{P}(\boldsymbol{X}= \)
\( \left.\boldsymbol{x}_{3}\right)=\mathbf{5} \boldsymbol{P}\left(\boldsymbol{X}=\boldsymbol{x}_{4}\right) \)
Find the probability distribution of \( \boldsymbol{X} \)
| 2 |
Maths
|
Evaluate the given definite integrals as
limit of sums:
\( \int_{-1}^{1} e^{x} d x \)
| 2 |
Maths
|
Identify the position of the elements having outer electronic configuration
\( n s^{2} n p^{5} \) for \( n=3 \)
A. 17 th group, 3rd period
B. 8th group, sth period
c. 7th group, 5th period
D. 8th group, 4th period
| 1 |
Chemistry
|
A particle is moving in a circle of radius \( R \) in such a way that at any instant the normal and tangential components of its acceleration are
equal. If its speed at \( t=0 \) is \( v_{o} \) the time
taken to complete the first revolution is
A \( \cdot R / v_{o} \)
в. \( v_{o} / R \)
C \( \cdot\left(R / v_{o}\right) \times\left(1-e^{-2 \pi}\right) \)
D. \( \left(R / v_{o}\right) \times\left(e^{-2 \pi}\right) \)
| 3 |
Physics
|
Which of the following statement(s)
regarding nitrogen sesquioxide is/are
not correct?
A. Dinitrogen sesquioxide is stable only in the liquid state. It dissociates in the vapour phase.
B. Dinitrogen sesquioxide is a neutral oxide
C. Dinitrogen sesquioxide contains a weak \( N-N \) bond.
D. Dinitrogen sesquioxide exists in two different crystalline forms.
| 1 |
Chemistry
|
The evidence for aquatic origin of Bryophyte is This question has multiple correct options
A. Ciliated sperms
B. Green colour
c. Protonema thread
D. Some are still aquatic
| 0 |
Biology
|
If the mean of the data:
\( 7,8,9,7,8,7, \lambda, 8 \) is \( 8, \) then the variance
of this data is?
| 2 |
Maths
|
Among the following, which plant is completely devoid of roots?
A. ceratophyllum
B. Hydrilla
c. vallisneria
D. Azolla
| 0 |
Biology
|
Find the unknown using an inverse operation:
\( \frac{n}{-4}=-2 \)
| 2 |
Maths
|
There is a -ve charge - \( q \) as shown in the
figure. Take the potential to be zero at
infinity. If \( A \) and \( B \) are two points in the
charge's vicinity, then the potential at-
\( \mathbf{A} \)
\( \mathbf{B} \)
\( -\mathbf{q} \)
This question has multiple correct options
\( \mathbf{A} \cdot A \) is less than at \( B \)
B. \( A \) is more than that at \( B \)
C. \( A \) is greater in magnitude than at \( B \)
D. \( A \) is smaller in magnitude than at \( B \)
| 3 |
Physics
|
Bag I contains 1 white, 2 black and 3 red
balls; Bag II contains 2 white, 1 black and 1 red balls; Bag III contains 4 white,
3 black and 2 red balls. A bag is chosen
at random and two balls are drawn from
it with replacement. They happen to be one white and one red. What is the
probability that they came from Bag III.
| 2 |
Maths
|
ff \( y=\sin \left(\cos ^{-1} x\right) \) and \( x=99, \) then
\( 1 / y^{2} \) is equal to
| 2 |
Maths
|
Assertion: Myelinated nerve fibre are enveloped with Schwann cells, which form a myelin sheath around the axon Reason: Unmyelinated nerve fibre is not enclosed by a Shwann cell and hence does not form a myelin sheath around the axon
A. If both assertion and reason are true and the reason is the correct explanation of the assertion
B. If both assertion and reason are true but reason is not the correct explanation of the assertion
c. If assertion is true but reason is false
D. If both assertion and reason are false
| 0 |
Biology
|
The resistance of a conductivity cell
containing \( 0.001 \mathrm{M} \) KCl solution at \( 298 \mathrm{K} \) is \( 1500 \Omega . \) What is the cell constant if
conductivity of \( 0.001 \mathrm{M} \) KCl solution at \( 298 K \) is 0.146 times \( 10^{-3} S c m^{-1} ? \)
| 1 |
Chemistry
|
The ore copper pyrites has two different metal atoms.
A . True
B. False
| 1 |
Chemistry
|
toppr \( t \)
Q Type your question
emf induced with time
\( s \)
| 3 |
Physics
|
What should be the projection velocity for a body to reach the same height on the Moon as compared to that on the Earth?
A. Higher velocity on the moon
B. Lower velocity on the moon
c. Same velocity on the moon and earth
D. It depends on the mass of the body
| 3 |
Physics
|
Two materials of dielectric constants
\( k_{1} \) and \( k_{2} \) are introduced to fill the
space between the two parallel plates of
a capacitor as shown in the figure. The
capacitance of the capacitor is :
A \( \cdot \frac{A \in_{0}\left(k_{1}+k_{2}\right)}{2 d} \)
в. \( \frac{2 A \in_{0}}{d}\left(\frac{k_{1} k_{2}}{k_{1}+k_{2}}\right) \)
c. \( \frac{A \in_{0}}{d}\left(\frac{k_{1} k_{2}}{k_{1}+k_{2}}\right) \)
\( \frac{A \epsilon_{0}\left(k_{1}+k_{2}\right)}{2 d k_{2} k} \)
| 3 |
Physics
|
\( \boldsymbol{C H}_{3}-\boldsymbol{C H}_{2}-\boldsymbol{C H}(\boldsymbol{O H})- \)
\( \boldsymbol{C H}_{2} \boldsymbol{C H}_{3} \stackrel{[\boldsymbol{O}]}{\rightarrow} \boldsymbol{A} \frac{\boldsymbol{C H}_{3} M \boldsymbol{g}-\boldsymbol{I}}{\boldsymbol{H}_{2} \boldsymbol{O} / \boldsymbol{H}^{+}} \boldsymbol{B} \)
What is \( A \) in the given reaction sequence?
A. \( C H_{3}-C H_{2}-C H_{2}-C O-C H_{3} \)
B. \( C H_{3}-C H_{2}-C O-C H_{2}-C H_{3} \)
c. \( C H_{3}-C H_{2}-O-C H_{2}-C H_{2} C H_{3} \)
D. \( C H_{3}-C H_{2}-C H_{2}-C H_{2}-C H O \)
| 1 |
Chemistry
|
A \( 14.5 \mathrm{kg} \) mass, fastened to the end of a steel wire of unstretched length \( 1.0 \mathrm{m} \) is whirled in a vertical circle with an
angular velocity of 2 rev/s at the bottom of the circle. The cross-sectional area of
the wire is \( 0.065 \mathrm{cm}^{2} \). Calculate the
elongation of the wire when the mass is at the lowest point of its path.
| 3 |
Physics
|
At 373 K,a gaseous reaction \( \boldsymbol{A} \rightarrow 2 \boldsymbol{B}+ \)
\( C \) is found to be of first order.Starting
with pure \( A \), the total pressure at the end of 10 min was 176 mm of Hg and after a
long time when A was completely dissociated,it was 270 mm of Hg.The pressure of \( A \) at the end of 10 minutes
was:
A. \( 94 \mathrm{mm} \) of \( \mathrm{Hg} \)
B. 47 mm of Hg
c. \( 43 \mathrm{mm} \) of \( \mathrm{Hg} \)
D. \( 90 \mathrm{mm} \) of \( \mathrm{Hg} \)
| 1 |
Chemistry
|
A student is allowed to select at most \( n \)
books from a collection of \( (2 n+1) \)
books. If the total number of ways in
which he can select one book is 63
then the value of \( n \) is
A .2
B. 3
\( c \cdot 4 \)
D. None of these
| 2 |
Maths
|
Which of the following substances are para-magnetic? \( \boldsymbol{B} \boldsymbol{i}, \boldsymbol{A l}, \boldsymbol{C u}, \boldsymbol{C a}, \boldsymbol{P b}, \boldsymbol{N i} \)
| 3 |
Physics
|
A block of mass \( \mathrm{m} \) is in contact with the
cart as shown in figure
The coefficient of static friction
between the block and the cart is. The
acceleration of the cart that will prevent
the block from falling satisfies
A \( \cdot \alpha>\frac{m g}{\mu} \)
B . \( \alpha>\frac{g}{\mu m} \)
c. \( \alpha \geq \frac{g}{\mu} \)
D. \( \alpha<\frac{g}{\mu} \)
| 3 |
Physics
|
Which one of the following is a phenolic resin similar to Bakelite?
A. catalin
B. Melamine
c. celluloid
D. crystalate
| 1 |
Chemistry
|
\( 500 m L \) of \( 0.2 M \) aqueous solution of
acetic acid is mixed with \( 500 m L \) of
\( 0.2 M H C l \) at \( 25^{\circ} C \)
(a) Calculate the degree of dissociation of acetic acid in the resulting solution and pH of the solution.
(b) If \( 6 g \) of \( N a O H \) is added to the above solution, determine final pH. Assume there is no change in volume on mixing. \( K_{a} \) for acetic acid is \( 1.75 \times 10^{-5} M L^{-1} \)
| 1 |
Chemistry
|
Which is (are) correct out of the
following:
This question has multiple correct options
A \( \cdot C H_{2}=C H_{2}<H-C \equiv C-H \)
(rate of electrophilic addition)
B.
gena
\( \mathbf{c} \)
substitution reaction)
D.
| 1 |
Chemistry
|
Two spheres each of mass \( 10^{5} k g \) and
radius \( 10 m \) are kept in contact. Find the force of gravitation acting between them.
A \( \cdot 5.67 \times 10^{-3} N \)
N \( .5 .67 \times 10^{-3} .6 \times 10^{-3} \)
в. \( 6.67 \times 10^{-3} N \)
c. \( 3.67 \times 10^{-3} N \)
D. 2.67 \( \times 10^{-3} N \)
| 3 |
Physics
|
The Sl unit of 'g' is same as that of
A. velocity
B. acceleration
c. force
D. pressure
| 3 |
Physics
|
Nature and properties of soil depends
upon
A. climate
B. weathering process
c. development of soil
D. all of these
| 0 |
Biology
|
What percentage of \( C O_{2} \) flows in blood
in form of bicarbonates?
A . 7\%
B. 23\%
c. 50\%
D. 70\%
| 0 |
Biology
|
In an isosceles triangle \( A B C \) with \( A B= \)
\( A C, B D \) is perpendicular from \( B \) to the side AC. Prove that \( B D^{2}-C D^{2}= \)
\( 2 C D . A D \)
| 2 |
Maths
|
\( \boldsymbol{S} \boldsymbol{O}_{2} \boldsymbol{C l}_{2}(\boldsymbol{g}) \rightarrow \boldsymbol{S} \boldsymbol{O}_{2}(\boldsymbol{g}) \)
The given reaction is a first order gas reaction with \( k=2.2 \times 10^{-5} s e c^{-1} \) at
\( 320^{\circ} \mathrm{C} . \) What \( \% \) of \( S O_{2} C l_{2} \) is
decomposed on heating this gas for 90
\( \min ? \)
\( \mathbf{A} \cdot 11.2 \% \)
B . 12.3\%
c. \( 13.4 \% \)
D. 14.5\%
| 1 |
Chemistry
|
Starch and cellulose are the compounds
made up of many units of
A. simple sugar
B. Fatty acid
c. Glycerol
D. Amino acid
| 0 |
Biology
|
Construct a \( 3 \times 2 \) matrix whose
elements are given by \( a_{i j}=2 i-j \)
| 2 |
Maths
|
The minimum value of \( \mathbf{f}(\mathbf{x})= \)
\( 4 \sec ^{2} x+9 \operatorname{cosec}^{2} x \) is
A . 5
B . 25
c. 13
\( D \cdot 13^{2} \)
| 2 |
Maths
|
In an LCR circuit the capacitance is made \( \frac{1}{4} \) then what should be the change in inductance that the circuit remains in resonance again?
\( A \cdot 8 \) times
B. \( \frac{1}{4} \) times
\( c \cdot 2 \) times
D. 4 times
| 3 |
Physics
|
Prove that the tangents drawn from an
external point to a circle are equal.
| 2 |
Maths
|
If \( l^{2}+m^{2}+n^{2}=5, \) then \( (l m+m n+ \)
\( (n) \) is
\( \mathbf{A} \cdot \geq(-5 / 2) \)
B \( \cdot \geq(-1) \)
\( c \cdot \leq 5 \)
\( D . \leq 3 \)
| 2 |
Maths
|
Two gases \( A \) and \( B \) having same pressure
P, volume \( V \) and temperature \( T \) are mixed. if the mixture has volume and
temperature as \( \mathrm{V} \) and \( \mathrm{T} \) respectively the pressure of mixture is
\( A \cdot 2 P \)
B.
\( c \cdot P / 2 \)
D. \( 4 P \)
| 3 |
Physics
|
A wheel with 8 metallic spokes each 50
\( \mathrm{cm} \) long is rotated with a speed of 120 rev/min in a plane normal to the horizontal component of the Earth's magnetic field. The Earth's magnetic field at the place is \( 0.4 \mathrm{G} \) and the angle
of \( 60^{\circ} \).Calculate the emf induced
between the axle and the rim of the
wheel.How will the value of emf be
affected if the number of spokes were increased?
| 3 |
Physics
|
Ascorbic acid resemble the structure of
\( A \). Vitamin A
B. Glucose
c. cellulose
D. Vitamin D
| 1 |
Chemistry
|
The median of 230 observations of the
following frequency distribution is 46
Find \( a \) and \( b: \)
\( \begin{array}{lllll}\text { Class } & \begin{array}{l}10- \\ 20\end{array} & \begin{array}{l}20- \\ 30\end{array} & \begin{array}{l}\text { 30- } \\ 40\end{array} & \begin{array}{l}\text { 40- } \\ \text { 50 }\end{array}\end{array} \)
12 \( \quad \) 30 Frequency a
| 2 |
Maths
|
Three charges of \( +5 \mu C \) are located at
the comes of an equilateral triangle whose sides are \( 6 \mathrm{cm} \) long. Find the potential at the midpoint of the base of the of the triangle.
| 3 |
Physics
|
The output of NOT gate when its input is
\( \mathbf{0} \)
\( A \). is 1
B. is 0
c. can be 0 or 1
D. is 0 and 1
| 3 |
Physics
|
Two astronauts, each of mass \( 75 k g \), are
floating next to each other in space, outside the space shuttle. They push each other through a distance of an arm's length \( =1 m \) each with a force of
\( 300 N \).If the final relative velocity of the
two, w.r.t each other is \( V_{0} m / s, \) find the value of \( \frac{\left(V_{0}\right)^{2}}{4}( \) Note that both astronauts are displaced by \( 1 \boldsymbol{m} \)
| 3 |
Physics
|
Write two differences between
autotrophic and heterotrophic nutrition.
| 0 |
Biology
|
A solid sphere, a hollow sphere and a solid cylinder, all having equal mass and radius, are placed at the top of an
incline and released. The friction
coefficients between the objects and the incline are equal and but not sufficient to allow pure rolling. Greastest time will be taken in reaching the bottom by
A. The solid sphere
B. The hollow sphere
c. The solid cylinder
D. All will take same time
| 3 |
Physics
|
If \( I=\int_{0}^{2 \pi} e^{x / 2} \sin \left(\frac{x}{2}+\frac{\pi}{4}\right) d x, \) then \( I \)
equals
\( A \)
B.
\( \mathbf{c} \cdot-\pi / 2 \)
D. \( 2 \pi \)
| 2 |
Maths
|
How many electronic charges form 1
coulomb?
A. \( 9.1 \times 10^{-31} \)
B . \( 1.6 \times 10^{18} \)
c. \( 62.5 \times 10^{17} \)
D. \( 1.76 \times 10^{11} \)
| 3 |
Physics
|
Which of the following is used as fuel in an electric generator?
A . Petrol
B. Diesel
c. Kerosene
D. cNG
| 1 |
Chemistry
|
A farmer has enough food to feed 28 animals in his cattle for 9 days. How long would the food last if there were 8
more animals in his cattle ?
A . 5
B. 7
c. 10
D. None of these
| 2 |
Maths
|
Which of the following cell organelles is associated with photorespiration?
A. Mitochondria
B. Peroxysome
c. chloroplast
D. All of the above
| 0 |
Biology
|
If the volume of a cuboid is \( 3 x^{2}-27 \)
then its possible dimensions are
A. \( 3, x^{2},-27 x \)
в. \( 3, x-3, x+3 \)
c. \( 3, x^{2}, 27 x \)
D. 3,3,3
| 2 |
Maths
|
State True or False.
Batteries are voltaic cells.
A. True
B. False
| 1 |
Chemistry
|
A solution with negative deviation among the following is:
A. ethanol- acetone
B. chlorobenzene-bromobenzene
c. chloroform-acetone
D. benzene-toluene
| 1 |
Chemistry
|
Total number of possible shells in
uranium atom is:
(atomic no. \( z=92) \)
A. 7
B.
\( c \cdot 6 \)
D. none of these
| 1 |
Chemistry
|
Evaluate \( : \lim _{x \rightarrow 1}\left(\frac{1}{1-x}-\frac{3}{1-x^{3}}\right) \)
| 2 |
Maths
|
The hormones used by athletes to increase the mass and strength of muscles is/are
A. estrogens
B. gestogens
c. androgens and testosterone
D. both estrogens and androgens
| 1 |
Chemistry
|
The angle between two vectors \( \vec{P}= \) \( \mathbf{3} \hat{\mathbf{i}}+\mathbf{2} \hat{\mathbf{j}}+\mathbf{3} \hat{\boldsymbol{k}} \) and \( \overrightarrow{\boldsymbol{Q}}=\mathbf{2} \hat{\mathbf{i}}-\hat{\mathbf{j}}+\mathbf{3} \hat{\boldsymbol{k}} \) is:
A \( \cdot \cos ^{-1}\left[\frac{5}{\sqrt{77}}\right. \)
B. \( \cos ^{-1}\left[\frac{\sqrt{77}}{6.5}\right. \)
\( ^{\mathbf{C}} \cdot \cos ^{-1}\left[\frac{6.5}{\sqrt{77}}\right. \)
D. \( \sin ^{-1}\left[\frac{\sqrt{77}}{6.5}\right. \)
| 3 |
Physics
|
The solubility of a substance is defined as the amount of solute in grams:
A. present in 100 g of the solvent
B. present in 100 g of the solution
c. present in \( 100 \mathrm{mL} \) of the solution
D. present in 1 litre of the solution
| 1 |
Chemistry
|
A mixture from which some of the
solute particles will settle on standing:
A. Miscible
B. Suspension
c. colloid
D. Saturated
E. Supersaturated
| 1 |
Chemistry
|
A body is moving on a rough horizontal plate in a circular path being tide to a nail (at the centre) by a string, while the body is in motion the friction force of the body
A. changes direction
B. changes magnitude
c. changes both magnitude and direction
D. none of he above
| 3 |
Physics
|
Reversible processes are always
A. spontaneous
B. Quasi-static
c. Both a and \( b \)
D. None of these
| 3 |
Physics
|
How many primary amines can be
formulated by \( C_{3} H_{9} N \) and how many
\( 1^{\circ} \) hydrogen are associated with carbon
atoms of each compound?
A. Two primary amines [3,6]
B. One primary amine [3]
c. Three primary amines [3,6,6
D. Two primary amines [5,6
| 1 |
Chemistry
|
Statement (1) : Composition and molecular structure of the reactants
can be changed by having a chemica
change
BECAUSE
Statement (2): It is said to be a
chemical reaction when new
substances and new bonds are formed
and old bonds are broken.
\( A \cdot(1) \) is true
(2) is true, (2) is the correct explanation of
(1)
B. (1) is false, (2) is true
c. (1) is true,
(2) is true
D. (1) is false,
(2) is false
\( E .(1) \) is true,
(2) is false
| 1 |
Chemistry
|
Points \( A \& B \) are in the first
quadrant:Point 'o' isthe origin. If the slope of \( \mathrm{OA} \) is \( 1, \) slope of \( \mathrm{OB} \) is 7 and OA=OB, then the slope of AB is-
A. \( -1 / 5 \)
B . \( -1 / 4 \)
c. \( -1 / 3 \)
D. \( -1 / 2 \)
| 2 |
Maths
|
Parallel plate condenser having a plate separation d is charged to a potential \( V \) It is then isolated. The intensity of the separation of the plates is then doubled The new electric field intensity is :
A . 2 E
B. E
\( c \cdot E / 4 \)
D. E/2
| 3 |
Physics
|
According to the property of probability, the probability of an event cannot be
A. greater than zero
B. equal to zero
c. less than zero
D. equal to one
| 2 |
Maths
|
\( \boldsymbol{A} \boldsymbol{g}_{2} \boldsymbol{S}+\boldsymbol{N} \boldsymbol{a} \boldsymbol{N} \longrightarrow \boldsymbol{A} \)
\( \boldsymbol{A}+\boldsymbol{Z} \boldsymbol{n} \longrightarrow \boldsymbol{B} \)
\( B \) is a metal. Hence \( A \) and \( B \) is:
A \( \cdot \operatorname{Na}_{2}\left[\operatorname{Zn}(C N)_{4}\right], Z n \)
в. \( \operatorname{Na}\left[\operatorname{Ag}(C N)_{2}\right], \) А \( g \)
c. \( \operatorname{Na}\left[A g(C N)_{4}\right], A g \)
D. \( \operatorname{Na}_{3}\left[\operatorname{Ag}(C N)_{4}\right], A g \)
| 1 |
Chemistry
|
At what value of \( \eta \) will the velocity of the
disc after the collision reverse its
direction?
A. \( \eta<4 \)
в. \( \eta>4 \)
\( \mathbf{c} \cdot \eta=4 \)
D. \( \eta=0 \)
| 3 |
Physics
|
Write the relationship between angle of incidence 'i', angle of prism 'A' and angle of minimum deviations \( \Delta m \) for a
triangular prism.
| 3 |
Physics
|
Number of structural isomers which
can be obtained theoretically on monochlorination of 2-methylbutane is:
A . 1
B . 2
\( c .3 \)
D. 4
| 1 |
Chemistry
|
Zwitter ion contains:
A. -ve charge
B. +ve charge
C. both +ve and -ve charge
D. none of the above
| 1 |
Chemistry
|
Which statement best represents the
principle of conservation of energy?
A. Energy cannot be used faster than it is created.
B. The supply of energy is limited, so energy must be conserved
C. The total energy in a closed system is constant
D. The total energy input to a system is equal to the useful energy output
| 3 |
Physics
|
A running man has half the kinetic
energy of a running boy of half his mass. The man speeds up by \( 1 m / s \) and then
has \( K . E . \) as that of the boy. What were
the original speeds of man and the boy?
A \( \cdot \sqrt{2} m / s ;(2 \sqrt{2}-1) m / s \)
B . \( (\sqrt{2}-1) m / s ; 2(\sqrt{2}-1) m / s \)
c. \( (\sqrt{2}+1) m / s ; 2(\sqrt{2}+1) m / s \)
D. \( (\sqrt{2}+1) m / s ; \sqrt{2} m / s \)
| 3 |
Physics
|
In the expression \( x y^{2}, \) the values of \( x \)
and \( y \) are each decreased \( 25 \% \); the
value of the expression is
A . Decreased 50\%
B. Decreased 75\%
c. Decreased \( 37 / 64 \) of its value
D. Decreased \( 77 / 64 \) of its value
E. None of these
| 2 |
Maths
|
The horizontal distance travelled by a projectile is called its :
A. range
B. trajectory
c. amplitude
D. none of these
| 3 |
Physics
|
Two complex numbers are represented
by ordered pairs \( z_{1}:(a, b) \& z_{2}:(c, d) \)
when these two complex numbers are
equal?
A. If and only if \( a=-c, b=-d \)
B. If and only if \( a=d, b=c \)
c. If and only if \( a=c, b=d \)
D. None of these
| 2 |
Maths
|
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