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The product of two vectors \( \vec{A} \) and \( \vec{B} \) may
be:
This question has multiple correct options
\( \mathbf{A} \cdot \geq A B \)
в. \( \leq A B \)
c. \( <A B \)
D. zero
| 3 |
Physics
|
A uniform rod of mass \( 15 k g \) is held
stationary with the help of a light string as shown in fig. \( \boldsymbol{L}=\mathbf{5} \boldsymbol{m}, \) angle between
rod and ground is \( 37^{0} . \) The tension in the
string is :
A . \( 150 N \)
B. \( 225 N \)
c. \( 100 N \)
D. None of these
| 3 |
Physics
|
Which of the following is incorrect
about compound microscope?
A. It consists of two convex lenses
B. The objective has smaller focal length than the eyepiece
C. The objective forms a real magnified image
D. The final image is real and much magnified
| 3 |
Physics
|
\( \int_{0}^{\pi / 2} \frac{\sin 8 x \log (\cot x) d x}{\cos 2 x} \)
| 2 |
Maths
|
\( E \) value for the cell reaction
\( \boldsymbol{C u}\left|\boldsymbol{C u}^{2+}(\mathbf{0 . 0 0 1 M}) \| \boldsymbol{C u}^{2+}(\mathbf{0 . 1 m})\right| \boldsymbol{C u} \)
\( ^{\mathrm{A}} \cdot \frac{R T}{F} i n(0.01) \)
в. \( -\frac{R T}{F} \) in (0.1)
c. \( +\frac{R T}{F} i n(0.01) \)
D. \( \frac{R T}{F} \) in (0.1)
| 1 |
Chemistry
|
Stopping Potential is:
| 3 |
Physics
|
Two charges are placed a certain
distance apart. A metallic sheet is placed between them. What will happen to the force between the charges?
A. Increase
B. Decrease
c. No change
D. either 'a' or 'b
| 3 |
Physics
|
The modal class of the given frequency distribution is
\( \begin{array}{llll}\text { Marks } & \mathbf{1 0}- & \mathbf{2 0}- & \mathbf{3 0}- \\ \text { Obtained } & \mathbf{2 0} & \mathbf{3 0} & \mathbf{4 0}\end{array} \)
7 35 Cumulative
Frequency 27
A . \( 10-20 \)
в. \( 30-40 \)
\( c \cdot 20-30 \)
D. \( 40-50 \)
| 2 |
Maths
|
Boojho has learnt that non-metals on beating with a hammer are generally broken into pieces. Which of the
following is a non-metal?
A. Iron nail
B. Aluminium wire
c. copper plate
D. Piece of coal
| 1 |
Chemistry
|
The coefficient of y in the expansion of \( \left(y^{2}+\frac{c}{y}\right)^{5} \) is
A . 20c
B. 10c
\( c \cdot 10 c^{3} \)
D. \( 20 c^{2} \)
| 2 |
Maths
|
The front and side view are same in
which figure?
A. rectangle
B. square
c. triangular pyramid
D. rhombus
| 2 |
Maths
|
Draw rough diagrams to illustrate the following:
(a) Open curve
(b) Closed curve
| 2 |
Maths
|
The stress required to double the length of a wire of Young's modulus \( \boldsymbol{E} \) is :
A \( .2 E \)
в. \( E \)
c. \( E / 2 \)
D. \( 3 E \)
| 3 |
Physics
|
Area of the circle \( (x-2)^{2}+(y-3)^{2}= \)
32 which lies below the line \( y=x+1 \) is \( \int_{-2}^{6}[(x+1)+\sqrt{32-(x-2)^{2}}+3] d x \)
| 2 |
Maths
|
\( A \) and \( B \) are two gases. A is identified
with the glass rod dipped in \( N H_{3} \) and \( B \) is identified with the glass rod dipped
in \( H C l . \) Then \( A \) and \( B \) are :
A. \( \mathrm{HCl}, \mathrm{NO}_{2} \)
в. \( \mathrm{HCl}, \mathrm{NH}_{3} \)
c. \( \mathrm{NH}_{3}, \mathrm{HCl} \)
D. \( \mathrm{NH}_{3}, \mathrm{SO}_{2} \)
| 1 |
Chemistry
|
\( \frac{\text {Charge}}{\text {Time}}=\dots \)
A. Voltage
B. current
c. Potential
D. work done
| 3 |
Physics
|
The value of the resistor, \( \boldsymbol{R}_{S}, \) needed in
the DC voltage regulator circuit shown
here, equals
A \( \cdot \frac{\left(V_{i}+V_{L}\right)}{(n+1) I_{L}} \)
B. \( \frac{\left(V_{i}-V_{L}\right)}{n I_{L}} \)
c. \( \frac{\left(V_{i}+V_{L}\right)}{n I_{L}} \)
D. \( \frac{\left(V_{i}-V_{L}\right)}{(n+1) I_{L}} \)
| 3 |
Physics
|
Two samples of radioactive substances
initially contain equal number of atoms
Their half life times are respectively 2 hours and 4 hours. The ratio of their
disintegration rates after 12 hours is :
A .1: 4
B. 1: 8
c. 3: 4
D. 2: 3
| 3 |
Physics
|
The approximate value of \( (1.0002)^{3000} \) is
A . 1.2
B. 1.4
c. 1.6
D. 1.8
| 2 |
Maths
|
Assertion
\( H N O_{3} \) is stronger acid than \( H N O_{2} \)
Reason
\( \ln H N O_{3} \) there are two nitrogen to
oxygen bonds where as in \( H N O_{2} \) there
is only one.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Assertion is incorrect but Reason is correct
| 1 |
Chemistry
|
If \( \boldsymbol{A}=\left[\begin{array}{cc}-\mathbf{1} & \mathbf{2} \\ \mathbf{3} & \mathbf{4}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{cc}\mathbf{3} & -\mathbf{2} \\ \mathbf{1} & \mathbf{5}\end{array}\right] \)
\( \mathbf{2} \boldsymbol{A}+\boldsymbol{B}+\boldsymbol{X}=\mathbf{0}, \) then the matrix \( \boldsymbol{X} \) is
A. \( \left[\begin{array}{ll}1 & 2 \\ 7 & 13\end{array}\right] \)
B. \( \left[\begin{array}{cc}-1 & 2 \\ 7 & -13\end{array}\right] \)
\( \mathbf{c} \cdot\left[\begin{array}{cc}-1 & -2 \\ 7 & 13\end{array}\right] \)
D. \( \left[\begin{array}{cc}-1 & -2 \\ -7 & -13\end{array}\right] \)
| 2 |
Maths
|
Write the reaction involved in lead
storage battery
| 1 |
Chemistry
|
Which of the following is/are example(s) of isobars?
A. \( 11 . N a^{23} \) and \( 12 \mathrm{Mg}^{24} \)
\( ^{4} \)
B . \( _{19} K^{39} \) and \( _{20} A r^{40} \)
\( \mathbf{c} \cdot_{18} A r^{40} \) and \( _{20} C a^{40} \)
D・ \( _{17} C l^{35} \) and \( _{17} C l^{37} \)
| 3 |
Physics
|
fe is the eccentricity of the ellipse \( \frac{x^{2}}{16}+\frac{y^{2}}{25}=1 \) and \( e_{2} \) is the eccentricity
of the hyperbola passing through the foci of the ellipse and \( e_{1} e_{2}=1, \) then equation of the hyperbola is
\( \stackrel{\mathbf{A}}{*} \frac{x^{2}}{9}-\frac{y^{2}}{16}=1 \)
в. \( \frac{x^{2}}{16}-\frac{y^{2}}{9}=-1 \)
c. \( \frac{x^{2}}{9}-\frac{y^{2}}{25}=1 \)
D. \( \frac{x^{2}}{25}-\frac{y^{2}}{9}=1 \)
| 2 |
Maths
|
Prove that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.
| 2 |
Maths
|
\( \left[\boldsymbol{C o}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{5} \boldsymbol{S O}_{4}\right] \boldsymbol{C l} \) is an octahedral
coordination compound. Draw the diagram which indicate the splitting of 'd' orbitals in tetrahedral field.
| 1 |
Chemistry
|
According to Bentham and Hooker, polypetalous and epigynous flowers should be placed under the
A. Thalamiflorae
B. Calyciflorae
c. Disciflorae
D. Heteromerae
| 0 |
Biology
|
Light of wavelength \( 5000 \dot{A} \) and intensity \( 3.96 \times 10^{-3} W / c m^{2} \) is
incident on the surface of a
photosensitive material. If 1 percent of incident photons only emit
photoelectrons, then the number of electrons emitted per unit area from the surface will be
A \( \cdot 10^{16} \)
B. \( 10^{18} \)
\( c \cdot 10^{20} \)
D. \( 10^{2} \)
| 3 |
Physics
|
A sample of 0.25 g of organic compound was treated according to Kjeldahl's method. The ammonia evolved was
absorbed in \( 25 \mathrm{ml} \) of \( 0.25 \mathrm{M} H_{2} C O_{4} \). The
residual acid required \( 60 \mathrm{mL} \) of \( 0.25 \mathrm{M} \) solution of NaOH for neutralisation. Find
the percentage composition of nitrogen in the compound.
| 1 |
Chemistry
|
is the material remaining after the removal of pyridine and other distillates from coal tar
\( A \). Pitch
B. Stalk
c. Lignite
D. None of above
| 1 |
Chemistry
|
to detect small alternating currents. Which of the diagrams shows how a
diode could be connected in order to
make conversion?
\( A \)
B.
\( c \)
D.
| 3 |
Physics
|
IUPAC name of \( \beta \) - Chloro- \( \alpha \) - methyl
butyric acid:
A. 3 -Chloro-2 methyl-butanoic acid
B. 2-chloro-3-methyl Butanoic acid
C. 2 -chloro-3- methyl-Butan-4-acid
D. 3-chloro-isopentanoic acid
| 1 |
Chemistry
|
Ratio of solubilities of \( \operatorname{gases} N_{2} \& O_{2} \)
in water from air at \( 25^{\circ} \& 1 \) atm will be
if air is \( 20 \% \) by volume of \( O_{2} \) and \( 80 \% \) by
volume of \( \boldsymbol{N}_{2} \)
\[
\begin{aligned}
\operatorname{Given} &: \boldsymbol{K}_{\boldsymbol{H}}\left(\boldsymbol{N}_{2}\right)=\boldsymbol{2} \times \mathbf{1 0}^{4} \boldsymbol{a t m} \\
\boldsymbol{K}_{\boldsymbol{H}}\left(\boldsymbol{O}_{2}\right) &=\mathbf{1 0}^{4} \boldsymbol{a t m}
\end{aligned}
\]
A . 8: 1
B. 1: 8
\( c \cdot 1: 2 \)
D. 2: 1
| 1 |
Chemistry
|
Which type of fibres mainly occur in phloem?
A. Libriform
B. Fibre tracheids
c. Sclereids
D. wood fibres
| 0 |
Biology
|
\( \ln \) an a.c. circuit \( V \) and \( I \) are given by
\( \boldsymbol{V}=\mathbf{1 0 0} \sin (\mathbf{1 0 0} \boldsymbol{t}) \boldsymbol{v o l t s} \) and \( \boldsymbol{I}= \)
\( \mathbf{1 0 0} \sin (\mathbf{1 0 0} t+\boldsymbol{\pi} / \mathbf{3}) \boldsymbol{m} \boldsymbol{A} . \) The power
dissipated in the circuit is
A \( \cdot 10^{4} \) watt
B. 10 watt
c. 2.5 watt
D. 5.0 watt
| 3 |
Physics
|
The mass of the Jupiter is \( 1.9 \times 10^{27} k g \)
and that of the sun is \( 1.99 \times 10^{38} k g \).
The mean distance of the Jupiter from the sun is \( 7.8 \times 10^{11} \) m. Speed of the
Jupiter is (assuming that Jupiter moves in a circular orbit around the sun)
A \( \cdot 1.304 \times 10^{4} \mathrm{m} / \mathrm{sec} \)
в. \( 13.04 \times 10^{4} \mathrm{m} / \mathrm{sec} \)
c. \( 1.304 \times 10^{6} \mathrm{m} / \mathrm{sec} \)
D. \( 1.304 \times 10^{2} \mathrm{m} / \mathrm{sec} \)
| 3 |
Physics
|
The D.E of simple harmonic motion
whose solution is given by \( \boldsymbol{x}= \) \( A \cos (n t+\alpha) \) is
A \( \cdot \frac{d^{2} x}{d t^{2}}+n x=0 \)
B. \( \frac{d^{2} x}{d t^{2}}+n^{2} x=0 \)
c. \( \frac{d^{2} x}{d t^{2}}-n^{2} x=0 \)
D. \( \frac{d^{2} x}{d t^{2}}+\frac{1}{n^{2}} x=0 \)
| 2 |
Maths
|
A common emitter amplifier has a voltage gain of \( 50, \) an input impedance of \( 100 \Omega \) and an output impedance of 200\Omega. The power gain of the amplifier is:-
A . 100
B. 500
\( c \cdot 1000 \)
D. 1250
| 3 |
Physics
|
A \( 8 \mathrm{m} \) long string of rubber, having density \( 1.5 \times 10^{3} \mathrm{kg} / \mathrm{m}^{3} \) and young's
modulus \( 5 \times 10^{6} \mathrm{N} / \mathrm{m}^{2} \) is suspended
from the ceiling of a room. The increase in its length due to its own weight
will be \( \left(g=10 \mathrm{m} / \mathrm{s}^{2}\right) \)
A. \( 9.6 \times 10^{-2} \mathrm{m} \)
В. \( 19.2 \times 10^{-5} \mathrm{m} \)
c. \( 9.6 \times 10^{-3} \mathrm{m} \)
D. \( 9.6 \mathrm{m} \)
| 3 |
Physics
|
Among the following species, the \( \boldsymbol{H}- \) \( \boldsymbol{X}-\boldsymbol{H} \) angle \( (\boldsymbol{X}=\boldsymbol{B}, \boldsymbol{N} \text { or } \boldsymbol{P}) \) follows
the order:
A \( \cdot P H_{3}<N H_{3}<N H_{4}^{+}<B F_{3} \)
B. \( N H_{3}<P H_{3}<N H_{4}^{+}<B F_{3} \)
C. \( B F_{3}<P H_{3}<N H_{4}^{+}<B F_{3} \)
D. \( B F_{3}<N H_{4}^{+}<N H_{4}^{+}<B F_{3} \)
| 1 |
Chemistry
|
Choose incorrect stability order:
\( \left.\mathbf{A} \cdot\left[C u\left(N H_{3}\right)_{4}\right]^{2+}<C u(e n)_{2}\right]^{2+}<[C u(\text {trien})]^{2+} \)
B. \( \left[F e\left(H_{2} O\right)_{6}\right]^{3+}<\left[F e\left(N O_{2}\right)_{6}\right]^{3+}<\left[F e\left(N H_{3}\right)_{6}\right]^{3+} \)
\( \mathbf{c} \cdot\left[\operatorname{Co}\left(H_{2} O\right)_{6}\right]^{3+}<\left[\operatorname{Rh}\left(H_{2} O\right)_{6}\right]^{3+}<\left[\operatorname{Ir}\left(H_{2} O\right)_{6}\right]^{3+} \)
\( \mathbf{D} \cdot\left[C r\left(N H_{3}\right)_{6}\right]^{1+}<\left[C r\left(N H_{3}\right)_{6}\right]^{2+}<\left[C r\left(N H_{3}\right)_{6}\right]^{3+} \)
| 1 |
Chemistry
|
Which of the following has least band
gap energy at \( 273 K \)
A . Insb
B. InAs
\( c \cdot \ln P \)
D. Gasb
| 3 |
Physics
|
The equilibrium expression, \( \boldsymbol{K}=\left[\boldsymbol{C O}_{2}\right] \)
represents the reaction:
A. \( C(s)+O_{2}(g) \rightleftharpoons C O_{2}(g) \)
B. \( C O(g)+\frac{1}{2} O_{2}(g) \rightleftharpoons C O_{2}(g) \)
c. \( \operatorname{CaCO}_{3}(s) \rightleftharpoons C a O(s)+C O_{2}(g) \)
D. \( C O_{2}(g) \rightleftharpoons C(s)+O_{2}(g) \)
E \( \cdot \operatorname{CaO}(s)+C O_{2}(g) \rightleftharpoons \operatorname{CaCO}_{3}(s) \)
| 1 |
Chemistry
|
If \( A \) and \( B \) are two Mutually Exclusive events in a sample space S such that
\( \boldsymbol{P}(\boldsymbol{B})=2 \boldsymbol{P}(\boldsymbol{A}) \) and \( \boldsymbol{A} \cup \boldsymbol{B}=\boldsymbol{S} \) then
\( \boldsymbol{P}(\boldsymbol{A})= \)
A \( \cdot \frac{1}{2} \)
B. \( \frac{1}{3} \)
\( c \cdot \frac{1}{4} \)
D. 5
| 2 |
Maths
|
Which of the following arrangements does not represent the correct order of
the property stated against it? This question has multiple correct options
A \( \cdot N i^{2+}<C o^{2+}<F e^{2+}<M n^{2+}: \) lonic size
B . \( C o^{3+}<F e^{3+}<C r^{3+}<S c^{3+}: \) Stability in aqueous solution
c. \( S c<T i<C r<M n \) : Number of oxidation states
D. \( V^{2+}<C r^{2+}<M n^{2+}<F e^{2+}: \) Paramagnetic
behaviour
| 1 |
Chemistry
|
The variance of 20 observations is \( 5 . \) If
each observation is multiplied by 2 then what is the new variance of the
resulting observations?
A . 5
B. 10
c. 20
D. 40
| 2 |
Maths
|
Which of the following element and its hydride gives same product on treatment with water?
\( \mathbf{A} \cdot R b \)
в. \( A l \)
c. мgмg
D. All
| 1 |
Chemistry
|
The \( P^{H} \) of \( 0.001 \mathrm{M} C H_{3} C O O H ? \)
\( A \cdot 3 \)
B. 1
c. Between 3 and 7
D. 7
| 1 |
Chemistry
|
How much approx aluminium in g can
be produced by a current of 94 A flowing through a Hall-Heroult cell for 1.00 h? (If the answer is \( \left.X, \text { then write } \frac{X}{8}\right) \)
| 1 |
Chemistry
|
The ratio of moments of inertia of two
solid spheres of same mass but densities in the ratio 1: 8 is:
A . 1: 4
B . 4: 1
c. 2: 1
D. 8: 1
| 3 |
Physics
|
A cylinder of same height and radius is placed on the top of a hemisphere. Find
the curved surface area in \( c m^{2} \) of the
shape if the length of the shape be
\( \mathbf{7} \boldsymbol{c m} \)
| 2 |
Maths
|
The enthalpy change of which reaction
corresponds to \( \Delta H_{f}^{o} \) for \( N a_{2} C O_{3} \) at \( 298 K ? \)
A \( \cdot \operatorname{Na(s)}+C(s)+\frac{3}{2} O_{2}(g) \rightarrow N a_{2} C O_{3}(s) \)
в. \( N a_{2} O(s)+C O_{2}(g) \rightarrow N a_{2} C O_{3}(s) \)
c. \( 2 N a^{+}(a q .)+C O_{3}^{2-}(a q .) \rightarrow N a_{2} C O_{3}(s) \)
D \( \cdot 2 N a^{+}(a q)+2 O H^{-}(a q .)+C O_{2}(a q .) \longrightarrow N a_{2} C O_{3}(s)+ \)
\( H_{2} O \)
| 1 |
Chemistry
|
A solenoid of 500 turns, diameter \( 20 c m \)
and resistance \( 2 \Omega \) is rotated about its
vertical diameter through \( \pi \) radian in
\( 1 / 4 \) s, when a horizontal field of \( 3 x \)
\( 10^{-5} T \) acts normal to its plane. Find the
emf induced and current thereof
| 3 |
Physics
|
Identify the correct reason for higher
boiling point of \( I C l \) than \( B r_{2} \)
A . higher molecular weight of \( I C l \) than \( B r_{2} \)
B. presence of dipole - dipole forces in \( I C l \)
c. presence of vanderwaals forces in \( I C l \)
D. None of these
| 1 |
Chemistry
|
Spore producing body of a cellular slime mould is
A. Pseudoplasmodium
B. Plasmodium
c. sporangium
D. Sporophore
| 0 |
Biology
|
A powdered mixture of \( K C l O_{3} \) is
heated in presence of \( M n O_{2} \) to prepare oxygen in the laboratory because:
A. this gives pure oxygen
B. \( M n O_{2} \) liberates oxygen in presence of \( K C l O_{3} \)
c. it is cheaply obtained
D. oxygen is liberated at lower temperature
| 1 |
Chemistry
|
What is a Fermi energy level? What is its position in case of an intrinsic semiconductor?
| 3 |
Physics
|
Find \( n \) if:
\[
\mid \begin{array}{ccc}
1+a^{2}-b^{2} & 2 a b & -2 b \\
2 a b & 1-a^{2}+b^{2} & 2 a \\
2 b & -2 a & 1-a^{2}-b^{2}
\end{array}
\]
\( \left(1+a^{2}+b^{2}\right)^{n} \)
| 2 |
Maths
|
Peroxisome is associated with.
A. Photorespiration.
B. Photosynthesis.
c. Photoperiodism.
D. Phototropism.
| 0 |
Biology
|
The \( X-Z \) plane separates two media
\( A \) and \( B \) of refractive indices \( \mu_{A}=1.5 \)
and \( \mu_{B}=2 . \) A ray of light travels from
\( A \) to \( B \), its direction in two media are
given by unit vectors. \( \hat{\boldsymbol{u}}_{\boldsymbol{A}}=\boldsymbol{a} \hat{\boldsymbol{i}}+\boldsymbol{b} \hat{\boldsymbol{j}} \) and
\( \hat{\boldsymbol{u}}_{B}=\boldsymbol{c} \hat{\boldsymbol{i}}+\boldsymbol{d} \hat{\boldsymbol{j}} \) respectively, then :
\( ^{A} \cdot \frac{a}{c}=\frac{4}{3} \)
B. \( \frac{a}{c}=\frac{3}{4} \)
c. \( \frac{b}{d}=\frac{4}{3} \)
D. \( \frac{b}{d}=\frac{3}{4} \)
| 3 |
Physics
|
Assertion
Eddy currents in conductors of non-zero resistivity generate heat as well as electromagnetic forces.
Reason
Current is always associated with heat
and electromagnetic forces
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
c. Assertion is correct but Reason is incorrect
D. Both Assertion and Reason are incorrect
| 3 |
Physics
|
Which of the following represent the number 300,000,000
\( A \cdot 3 \times 10^{6} \)
B . \( 3 \times 10^{7} \)
\( c \cdot 3 \times 10^{8} \)
D. \( 3 \times 10^{9} \)
E . \( 3 \times 10^{-9} \)
| 3 |
Physics
|
Nobel gases were included in Mendeleev's periodic table in the:
A. 1 st group
B. 7th group
c. 8 th group
D. none of these
| 1 |
Chemistry
|
Write a short note on:
1. Armature coil
2. Brushes
3. Commutator
4. Direct current
| 3 |
Physics
|
Given \( \boldsymbol{f}(\boldsymbol{x})= \)
\( \left\{\begin{array}{l}\frac{[\{|\boldsymbol{x}|\}] \boldsymbol{e}^{\boldsymbol{x}^{2}}\{[\boldsymbol{x}+\{\boldsymbol{x}\}]\}}_{\left(\frac{1}{\boldsymbol{e}^{x^{2}}-1}\right)} \boldsymbol{s} \boldsymbol{g n}(\sin \boldsymbol{x}) \\ \boldsymbol{0} \quad \text { for } \quad \boldsymbol{x}=\mathbf{0}\end{array}\right. \)
Where \( \{x\} \) is the fractional part
function; \( [x] \) is the step up function and
\( \operatorname{sgn}(x) \) is the signum function of \( x \) then,
\( \boldsymbol{f}(\boldsymbol{x}) \)
A. Is continuous at \( x=0 \)
B. Is discontinuous at \( x=0 \)
C. Has a removable discontinuity at \( x=0 \)
D. Has in irremovable disconitnuity at \( x=0 \)
| 2 |
Maths
|
An element \( X \) has a valency \( 3 . \) Write the formula of its oxide?
| 1 |
Chemistry
|
The number of possible open chain (acyclic) isomeric compounds for
molecular formula \( C_{5} H_{10} \) would be
\( A \cdot 8 \)
B. 7
\( c \cdot 6 \)
D. 5
| 1 |
Chemistry
|
Prove using vectors : If the diagonals of a parallelogram are equal in length, then it is a rectangle.
| 2 |
Maths
|
In hydrogen economy, energy required for automobiles or electrical energy is obtained from the reaction between
and oxygen.
A. hydrogen
B. oxygen
c. silver
D. none of these
| 1 |
Chemistry
|
The Molecular weight of Mohr's salt is
392. Its equivalent weight when it is
oxidized by \( K M n O_{4} \mathrm{KMnO} 4, \) in acidic medium is:
A . 392
B. 196
\( c \cdot 130.6 \)
D. 78.5
| 1 |
Chemistry
|
The middle point of the mirror is called
A . pole
B. centre of sphere
c. centre of curvature
D. none of these
| 3 |
Physics
|
Binary acid of sulphur is
| 1 |
Chemistry
|
Bioassay for auxin is
A. Avena curvature test
B. Green leaf test
C. Dwarf maize test
D. Cell division test
| 0 |
Biology
|
\( x^{2} \)
\( d x \)
\( d x \)
| 1 |
Chemistry
|
A projectile is launched vertically upward. It explodes into two pieces at the top point of its trajectory. One piece has twice the mass of the other.
Immediately after the explosion,
the more massive piece has
kinetic energy \( \boldsymbol{E} \). What is the total
kinetic energy of both pieces immediately after the explosion?
\( \mathbf{A} \cdot 1.5 E \)
B. \( 2 E \)
\( c .3 E \)
D. not enough information to answer
E. Answer required
| 3 |
Physics
|
Charge \( q \) is uniformly spread on a thin ring of radius R. The ring rotates about its axis with a uniform frequency f \( \mathrm{Hz} \) The magnitude of magnetic induction at the center of the ring is
\( \mathbf{A} \cdot \underset{2 \pi \Omega}{\operatorname{maf}} \)
B. \( \frac{\text {иоя}}{2 R} \)
c. \( \frac{\mu q}{2 f R} \)
D. \( \frac{\mu_{\text {Ho }}}{2 \pi / R_{R}} \)
| 3 |
Physics
|
A thin rod of length \( d / 3 \) is placed along the principal axis of a concave mirror of
focal length \( =d \) such that its image,
which is real and elongated,just touches the rod. Find the length of the
image?
| 3 |
Physics
|
Reversible adsorption is:
A. chemical adsorption
B. physical adsorption
\( c \). both
D. none
| 1 |
Chemistry
|
Without expanding, show that the value of each of the following determinants is
zero:
\( \left|\begin{array}{ccc}a & b & c \\ a+2 x & b+2 y & c+2 z \\ x & y & z\end{array}\right| \)
| 2 |
Maths
|
In an experiment with 15 observations
on \( x, \) then following results were
available:
\( \sum x^{2}=2830, \sum x=170 \)
One observation that was 20 was found
to be wrong and was replaced by the
correct value \( 30 . \) Then the corrected
variance is:
A . 78
B . 188.6666
c. 177.3333
D. 8.3333
| 2 |
Maths
|
When we jump on a heap of sand, we
didn't get hurted but on the floor of concrete, we get hurted. Explain.
| 3 |
Physics
|
Find the equilibrium constant for the reaction, \( \boldsymbol{F e}^{2+}+\boldsymbol{C e}^{4+} \rightleftharpoons \boldsymbol{F e}^{3+}+\boldsymbol{C e}^{3+} \)
\( \left[\text { Given: } \boldsymbol{E}_{C e^{4+} / C e^{3+}}^{o}=\right. \)
\( \left.\mathbf{1} . \mathbf{4 4} \boldsymbol{V} ; \boldsymbol{E}_{\boldsymbol{F e}^{3+} / \mathbf{F e}^{\mathbf{2 +}}}^{\boldsymbol{o}}=\mathbf{0 . 6 8} \boldsymbol{V}\right] \)
A . \( 7.6 \times 10^{12} \)
B . \( 5.4 \times 10^{12} \)
c. \( 3.3 \times 10^{12} \)
D. None of the above
| 1 |
Chemistry
|
Let \( A B C D \) be a parallelogram and let \( L \) and \( \mathrm{M} \) be the midpoints of the sides \( B C \) and \( C D \) respectively. Then \( \overrightarrow{A L}+ \) \( \boldsymbol{A} \overrightarrow{\boldsymbol{M}}= \)
\( A \cdot \overrightarrow{A C} \)
В \( \cdot \frac{2}{3} \overrightarrow{A C} \)
c. \( \frac{3}{2} \overrightarrow{A C} \)
D. \( 2 A C \)
| 2 |
Maths
|
Tin reacts with concentrated \( H N O_{3} \) to
give:
A. stannic nitrate
B. stannous nitrate
c. metastanic acid
D. none of these
| 1 |
Chemistry
|
The figure shows a solid of uniform cross-section. Find the volume of the
solid. All measurements are in
centimetre. Assume that all angles in
figure are right angles.
\( A \cdot 180 \mathrm{cm}^{3} \)
3. \( 108 \mathrm{cm}^{3} \)
\( c \cdot 188 c m^{3} \)
) \( .118 \mathrm{cm}^{3} \)
| 2 |
Maths
|
In which part of the excretory system of mammals, can you first use the term urine for contained fluid?
A. Bowman's capsulel
B. Loop of Henle
c. collecting tubule
D. Urinary bladder
| 0 |
Biology
|
Find the smallest number by which
4232 must be multiplied to make it a perfect cube.
A .2
B. 17
c. 19
D. 23
| 2 |
Maths
|
If i is the current flowing through a conductor of resistance \( R \) for time \( t \)
then the heat produced (Q) is given by
A \( \cdot \frac{i^{2} R}{t} \)
в. \( \frac{i R^{2}}{t} \)
\( \mathbf{c} \cdot i^{2} R t \)
D \( \cdot i R t^{2} \)
| 3 |
Physics
|
NAD is
A. Nicotinamide adenosine diphosphate
B. Nicotine adenosine phosphate
C. Nicotinamide adenine dinucleotide
D. None of the above
| 0 |
Biology
|
Light travels in a \( _{-}-_{-}-_{-}-_{-}- \) path
A . rectilinear
B. zig zagg
c. circular
D. helical
| 3 |
Physics
|
correct?
(i) When an animal hide, which has
negatively charged particles, is soaked in tannin, which contains positively
charged colloidal particles, mutual
coagulation does not take place.
(ii) Photographic films are prepared by coating an emulsion of the light sensitive silver bromide in gelatin over glass plates or celluloid films.
(iii) Latex is a colloidal solution of
rubber particles which are negatively
charged.
(iv) In Cottrell precipitator, the smoke, before it comes out from the chimney, is
led through a chamber containing
plates having a charge opposite to that carried by smoke particles. The
particles on coming in contact with
these plates acquire some charge and do not get precipitated.
A. (i) and (iv) only
B. (ii) and (iii) only
C. (ii), (iii) and (iv) only
D. All of these
| 1 |
Chemistry
|
f \( x^{2}+y^{2}=2 \) and \( y^{11}+A . y^{-3}=0 \) then
\( A \) is
| 2 |
Maths
|
A chain \( A B \) of length \( l \) is lying in a
smooth horizontal tube so that a
fraction \( h \) of its length \( l \), hangs freely
and touches the surface of the table
with its end B. At a certain moment,
the end \( A \) of the chain is set free. The
velocity of end \( A \) of the chain, when it
slips out of tube, is:
A \( \cdot h \sqrt{\frac{2 g}{l h}} \)
в. \( \sqrt{2 g h \times \log _{e}\left(\frac{l}{h}\right)} \)
c. \( \sqrt{2 g l \times \log _{e}\left(\frac{l}{h}\right)} \)
D \( \cdot \frac{1}{h l} \sqrt{2 g} \)
| 3 |
Physics
|
The magnetic field is varying as \( \boldsymbol{B}(\boldsymbol{t})= \)
\( B_{o} t \) in the circuit as shown in the figure
Then the emf induced in the circuit will
be
\( \mathbf{A} \cdot 2 \pi a^{2} B_{0} \)
В . \( \pi a^{2} B_{0} \)
c. \( \frac{a^{2} B_{0}}{2} \)
D. \( \frac{\pi a^{2} B_{0}}{2} \)
| 3 |
Physics
|
A square wire loop of \( 10.0 \mathrm{cm} \) side lies
at right angles to a uniform magnetic field of 7 T. A 10 V light bulb is in series with the loop as shown in figure. The magnetic field is decreasing steadily to zero over a time interval \( \Delta t . \) For what
value if \( \Delta t(\text { in } m s), \) the bulb will shine
with full brightness?
| 3 |
Physics
|
Which one of the following is a part of a renal pyramid?
A. Peritubular capillaries
B. convoluted tubules
c. collecting ducts
D. All of the above
| 0 |
Biology
|
Why is soap referred as a salt?
A. They are long chain of fatty acids
B. Made up of various salts
C. Gives salt on acting with water
D. None of above
| 1 |
Chemistry
|
According to the electromagnetic spectrum. Which of the following is NOT a pure spectral colour?
A. white
B. violet
\( c \cdot \) red
D. blue
E. yellow
| 3 |
Physics
|
Identify the decimal and whole number from the following
\( \mathbf{2 2 5 3 . 1 0 6} \)
| 2 |
Maths
|
Heating ammonium chloride with sodium hydroxide produces:
A. ammonia
B. nitrogen
c. chlorine
D. none of these
| 1 |
Chemistry
|
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