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A bird is flying towards north with a
velocity \( 40 \mathrm{kmh}^{-1} \) and a train is
moving with velocity \( 40 \mathrm{kmh}^{-1} \) towards east. What is the velocity of the bird noted by a man in the train?
A \( \cdot 40 \sqrt{2} k m h^{-1} N-E \)
в. \( 40 \sqrt{2} k m h^{-1} S-E \)
c. \( 40 \sqrt{2} k m h^{-1} N-W \)
D. \( 40 \sqrt{2} k m h^{-1} S-W \) | 3 | Physics |
An e.m.f. of 5 volt is produced by a self inductance, when the current changes at a steady rate from 3 A to 2 A in 1 millisecond. The value of self
inductance is
A . zero
в. 5 н
c. 5000 н
D. 5 mH | 3 | Physics |
Agent Orange was named so because of
A. orange colour
B. orange stripe on packet
C. production of orange cloud
D. killing all greenery | 1 | Chemistry |
A parallel plate condenser has plates of
area \( 200 \mathrm{cm}^{2} \) and separation \( 0.05 \mathrm{cm} \)
The space between plates have been
filled with a dielectric having \( \mathbf{k}=\mathbf{8} \) and
then charged to 300 volts. The stored energy:
A . \( 121.5 \times 10^{-6} \mathrm{J} \)
В. \( 28 \times 10^{-6} \mathrm{J} \)
D. \( 1.6 \times 64 \times 10^{-5} \mathrm{J} \) | 3 | Physics |
A double convex thin lens made of glass
(refractive index, \( =1.5 \) ) has both radii of
curvature of magnitude \( 20 \mathrm{cm} \) Incident light rays parallel to the axis of the lens will converge at a distance \( d \) in
\( \mathrm{cm}, \) such that :
\( \mathbf{A} \cdot d=10 \)
В. \( d=20 / 3 \)
c. \( d=40 \)
D. \( d=20 \) | 3 | Physics |
When we press the bulb of a
dropper,with its nozzle kept under water
,air in the dropper is seen to escape in the form of bubbles.lf we then,release
the pressure on the bulb,water gets
filled in the dropper.The rise in water in the dropper is due to
A. Liquid pressure
B. Weight of the bulb
c. Gravity of the earth
D. Atmospheric pressure | 3 | Physics |
Discuss the countinuity of the following
function at \( \boldsymbol{x}=\mathbf{0} \)
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}\frac{1-\cos x}{x^{2}}, & x \neq 0 \\ \frac{1}{2}, & x=0\end{array}\right. \) | 2 | Maths |
Solve \( : \frac{2}{x}+\frac{2}{3 y}=\frac{1}{6} \) and \( \frac{3}{x}+\frac{2}{y}=0 \)
Hence, find ' \( m^{\prime} \) for which \( y=m x-4 \)
A \( . x=3 ; y=-5 \) and \( m=2 \)
B. \( x=6 ; y=-4 \) and \( m=0 \)
c. \( x=2 ; y=-3 \) and \( m=0 \)
D. \( x=4 ; y=-4 \) and \( m=2 \) | 2 | Maths |
Earthquakes can be predicted in advance
A . True
B. False
c. Ambiguous
D. Data insufficient | 3 | Physics |
If \( f(x) \) is given by \( f(x)=(\cos x+ \)
\( i \sin x)(\cos 3 x+i \sin 3 x) \dots .(\cos (2 n- \)
1) \( x+i \sin (2 n-1) x \) ), then \( f^{\prime \prime}(x) \) is
equal to
\( \mathbf{A} \cdot n^{3} f(x) \)
B . \( -n^{4} f(x) \)
\( \mathbf{c} \cdot-n^{2} f(x) \)
D \( \cdot n^{4} f(x) \) | 2 | Maths |
If \( x^{3}-y^{3}+3 x y^{2}-3 x^{2} y+1=0, \) then
\( \operatorname{at}(0,1) \frac{d y}{d x} \) equals
\( \mathbf{A} \cdot \mathbf{1} \)
B. -
\( c \cdot 2 \)
D. | 2 | Maths |
Current commercial method for
producing ibuprofen is a stunning
application of Green chemistry because
A. ibuprofen is an anti-inflammatory drug and has various applications
B. the previous method required large amounts of solvents and generated large wastes compared to the current method
C. it has very important medicinal value
D. this compound has very less side effects after usage | 1 | Chemistry |
The process of converting hydrated alumina into anhydrous alumina is called:
A. roasting
B. calcination
c. smelting
D. dressing | 1 | Chemistry |
\( \left|\begin{array}{ccc}1 & a & a^{2}-b c \\ 1 & b & b^{2}-c a \\ 1 & c & c^{2}-a b\end{array}\right| \) is equal to
\( A \)
B . \( \sum a^{2}(b-c) \)
c. \( 2 \sum a^{2}(b-c) \)
D. \( -2 \sum a b(a-b) \) | 2 | Maths |
Acid turn blue litmus :
A. green
B. red
c. yellow
D. orange | 1 | Chemistry |
If the eccentricity of an ellipse is \( \frac{5}{8} \) and
the distance between its foci is \( 10, \) then
find latus-rectum of the ellipse. | 2 | Maths |
Find the ratio of the distances traveled
by a body falling freely from rest in the first, second and third seconds
respectively.
A. 1: 4: 9
B. 1: 2: 3
\( \mathbf{c} \cdot 1: 9: 25 \)
D. 1: 3: 5 | 3 | Physics |
Carbon dioxide entering erythrocytes reacts with water to form carbonic acid.
The enzyme catalyzing this
A. Carbonic anhydrase
B. Carboxypeptidase
c. Hydrolase
D. oxidoreductase | 0 | Biology |
Which of the following is the buffer solution of strong acidic nature?
A. \( H C O O H+H C O O^{-} \)
в. \( C H_{3} C O O H+C H_{3} C O O \)
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{C}_{2} \mathrm{O}_{4}+\mathrm{C}_{2} \mathrm{O}_{4}^{2} \)
D. \( H_{3} B O_{3}+B O_{3}^{3-} \) | 1 | Chemistry |
Draw the circuit arrangement for
studying the \( V_{I} \) characteristics of a p-n
junction diode in reserve bias. Plot the
\( V-I \) characteristics in this case. | 3 | Physics |
ASSERTION: In froth floatation process,
sodium ethyl xanthate is used as a collector.
REASON: Sulphide ores are water soluble.
A. If both assertion and reason are CORRECT, and the reason is the CORRECT explanation of the assertion
B. If both assertion and reason are CORRECT, but the reason is NOT the CORRECT explanation of the assertion
C. If assertion is CORRECT but reason is INCORRECT.
D. If assertion is INCORRECT but reason is CORRECT. | 1 | Chemistry |
A brick with dimensions of \( 20 \mathrm{cm} \times \)
\( 10 c m \times 5 c m \) has a weight 500 gwt.
Calculate the pressure exerted by it when it rests on different faces.
A \( \cdot \) case (i) \( P_{1}=1.25 g w t c m^{-2}, \) Case (ii) \( P_{2}=5 g w t c m^{-2} \) Case (iii) \( P_{3}=5 g w t c m^{-2} \)
B. case (i) \( P_{1}=2.5 g w t c m^{-2} \), Case (ii) \( P_{2}=5 g w t c m^{-2} \)
Case (iii) \( P_{3}=10 \) gwtem \( ^{-2} \)
C. case (i) \( P_{1}=5 g w t c m^{-2} \), Case (ii) \( P_{2}=25 g w t c m^{-2} \) Case (iii) \( P_{3}=15 \) gwtcm \( ^{-2} \)
D. case (i) \( P_{1}=2.5 g w t c m^{-2} \), Case
(ii) \( P_{2}=2.5 g w t c m^{-2} \)
Case (iii) \( P_{3}=10 g w t c m^{-2} \) | 3 | Physics |
f \( \boldsymbol{A}=\left(\begin{array}{ll}1 & -1 \\ 2 & -2\end{array}\right) \) Find \( 5 \boldsymbol{I}-8 \boldsymbol{A} \) | 2 | Maths |
Choose the correct statement from the
following
This question has multiple correct options
A. When same charges are separated by different distances in the same medium, \( F d^{2}= \) constant
B. On doubling the distance of separation between two charges, the electric force between two charges becomes one fourth
C. Repulsion is the sure test of electrification
D. Sl unit of electric field is farad | 3 | Physics |
Match the components of lac operon of
E. coli with their functions. Choose the
answer with the correct combination of
alphabets of the two columns. | 0 | Biology |
When \( P C l_{3} \) reacts with sulphuric acid, sulphuryl chloride is formed as the final product. This shows that sulphuric acid
A. has two hydroxyl groups in its structure.
B. is a derivative of sulphur dioxide
c. is a dibasic acid
D. has greater affinity for water | 1 | Chemistry |
Consider the following statements about acceleration due to gravity on earth and mark the correct
statement(s):
A. The value of \( g \) is constant throughout
в. \( g^{\prime}=g\left(1-\frac{d}{r}\right) \)
\( \mathrm{c} . g \) is slightly less (by about \( 1 \% \) ) when distance \( <200 \mathrm{m} \)
D. \( g \) is slightly greater when distance \( <200 m \) | 3 | Physics |
Show that the four triangles as shown in the adjoining fig. formed by diagonals and sides of rhombus are congruent. | 2 | Maths |
\( \mathbf{f} \boldsymbol{A}=\left[\begin{array}{ll}\mathbf{1} & \mathbf{0} \\ \mathbf{0} & \mathbf{1}\end{array}\right] ; \boldsymbol{B}=\left[\begin{array}{ll}\boldsymbol{a} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{d}\end{array}\right], \) then show
that \( (A . B)^{-1}=B^{-1} . A^{-1} \) | 2 | Maths |
Cotton fibers are separated from seeds
by:
A. combing
B. knitting
c. weaving
D. rubbing | 1 | Chemistry |
Correlated characters are similar traits
found in
A. All members of a population
B. All races of a species
c. All species of a genus
D. All the above | 0 | Biology |
Let \( a, b, c \) be three distinct positive real numbers in G.P., then \( a^{2}+2 b c-3 a c \) is
\( A \cdot>0 \)
\( B .<0 \)
\( c_{c}=0 \)
D. can't be found out | 2 | Maths |
A hemispherical bowl of internal radius \( 9 \mathrm{cm} \) is full of liquid. This liquid is to be filled into conical shaped small
containers each of diameter \( 3 \mathrm{cm} \) and
height \( 4 \mathrm{cm} . \) How many containers are
necessary to empty the bowl? | 2 | Maths |
Prove the following statements:
\( \cos ^{4} \boldsymbol{A}-\sin ^{4} \boldsymbol{A}+\mathbf{1}=\boldsymbol{2} \cos ^{2} \boldsymbol{A} \) | 2 | Maths |
The algebraic form of an arithmetic
sequence is \( 5 n+3 \)
a. What is the first form of the
sequence?
b. What will be the remainder if the term
of the sequences are divide by \( 5 ? \) | 2 | Maths |
Solve:
\( \int \frac{(x-1)}{(x+1)(x-2)} d x \) | 2 | Maths |
For a solution of a non-electrolyte in water, the Van't Hoff factor is :
A. Always equal to 0
в. \( \leq 1 \)
c. Always equal to
D. \( >1 \) but \( <2 \) | 1 | Chemistry |
The equilibrium constant \( \boldsymbol{K}_{\boldsymbol{p}} \) for the
reaction \( 2 H_{2}(g)+O_{2}(g) \rightleftharpoons 2 H_{2} O(g) \)
at \( 2000 \mathrm{K} \) is \( 1.6 \times 10^{7} . \) The equilibrium
constant of the reaction \( \boldsymbol{H}_{2} \boldsymbol{O}(\boldsymbol{g}) \rightleftharpoons \)
\( \boldsymbol{H}_{2}(\boldsymbol{g})+\frac{1}{2} \boldsymbol{O}_{2}(\boldsymbol{g}) \) is
A. \( 6.25 \times 10^{-8} \)
B . \( 2.5 \times 10^{-4} \)
c. \( 7.5 \times 10^{-12} \)
D. \( 4 \times 10^{-6} \) | 1 | Chemistry |
Why mercury do not evaporate at room
temperature?
A. Because melting point of mercury is higher
B. Because boiling point of mercury is higher
C. Because boiling point of mercury is lower
D. Because boiling point of mercury is equal to room temperature | 3 | Physics |
The slope of the line whose inclination is \( 30^{\circ} \) is \( \frac{1}{\sqrt{m}} . \) Find the value of \( m \) | 2 | Maths |
Is the colour of 620 nm light and 780
nm light same? Is the colour of \( 620 \mathrm{nm} \)
light and 621 nm light same? How many colours are there in white light? | 3 | Physics |
Very short answer type:
Why are pollen grains produced in enormous quantity in maize? | 0 | Biology |
Find the product \( (3+\sqrt{2})(3-\sqrt{2}) \) | 2 | Maths |
If \( S \) is stress and \( Y \) is Young's modulus
of material of wire, then energy stored in the wire per unit volume is:
\( \mathbf{A} \cdot 2 S^{2} Y \)
в. \( \frac{s}{Y x} \)
c. \( \frac{2 Y}{S^{2}} \)
D. \( \frac{s^{2}}{2 Y} \) | 3 | Physics |
Explain why is ortho nitrophenol more acidic than ortho methoxyphenol? | 1 | Chemistry |
Which one of the following sequences was proposed by Darwin and Wallace for organic evolution:
A. overproduction, variations, constancy of population size, natural selection
B. Variations, constancy of population size, overproduction, natural selection
c. overproduction, constancy of population size, variations, natural selection
D. Variations, natural selection, overproduction constancy of population size | 0 | Biology |
Which of the following illustrate the
anomalous properties of Lithium?
This question has multiple correct options
A. Lithium is softer than the other group I metals
B. Lithium forms nitride, \( L i_{3} N \) unlike other group
metals
C. The melting and boiling point of Lithium are comparatively high
D. none of these | 1 | Chemistry |
A student measures the thickness of a
copper wire using standard instruments and reports it as \( 0.1 \mathrm{cm} \)
\( 0.15 \mathrm{cm} \) and \( 0.157 \mathrm{cm} . \) The instruments
used to find these measurements are
and
respectively.
A. vernier calipers, ordinary scale, screw gauge
B. ordinary scale,vernier calipers, screw gauge
C. screw gauge, vernier calipers, ordinary scale,
D. ordinary scale, screw gauge, vernier calipers | 3 | Physics |
Animals like scorpions, cockroaches lizards, mice sharing our abodes (homes) and food live in our homes, are
called
A. Cultigens
B. Inquilines
c. Living fossil
D. Domesticated | 0 | Biology |
What are primary valencies and
secondary valencies give an example? | 1 | Chemistry |
The high melting point of \( S i O_{2} \) is due
to:
A. sp hybridised silicon atom
B. tetrahedral polymer structure
c. its solid state
D. \( S p^{2} \) hybridised silicon atom | 1 | Chemistry |
Which of the following is logically equivalent to \( \sim(\sim p \Rightarrow q) ? \)
A \( \cdot p \wedge q \)
В . \( p \wedge \sim q \)
\( \mathrm{c} \cdot \sim p \wedge q \)
D \( . \sim p \wedge \sim q \) | 2 | Maths |
A \( 20 k g \) load is suspended from the
lower end of a wire \( 10 \mathrm{cm} \) long and \( 1 \mathrm{mm} \)
\( ^{2} \) in cross sectional area. The upper half of the wire is made of iron and the lower
half with aluminium. The total
elongation in the wire is
\( \left(Y_{i r o n}=20 \times 10^{10} \mathrm{N} / \mathrm{m}^{2}, Y_{A l}=7 \times 10^{10}\right. \)
\( \left.\mathrm{N} / \mathrm{m}^{2}\right) \)
A \( \cdot 1.92 \times 10^{-4} \mathrm{m} \)
B. 17.8 \( \times 10^{-3} \mathrm{m} \)
c. \( 1.78 \times 10^{-3} \mathrm{m} \)
D. \( 1.92 \times 10^{-3} \mathrm{m} \) | 3 | Physics |
n the figure \( \angle \boldsymbol{P}+\angle \boldsymbol{Q}+\angle \boldsymbol{R}+\angle \boldsymbol{S}+ \)
\( \angle \boldsymbol{T}=\boldsymbol{2} \) right angles
\( 4 . \) True
3. Falss | 2 | Maths |
Which statements are correct about the
reaction?
\[
\mathbf{R}-\|^{*}_{\mathbf{M e}}^{\mathbf{O}} \underbrace{\mathbf{D}}_{\mathbf{O}} \ddot{\mathbf{N}} \mathbf{H}_{2} \frac{\mathbf{B r}_{2}+\stackrel{\Theta}{\mathbf{O H}}}{\Delta} \begin{array}{c}
\text { Mixture of } \\
\mathbf{1}^{\circ} \text { amines }
\end{array}
\]
This question has multiple correct options
A. A mixture of two amines is formed, which suggests that rearrangement is intramolecular
B. If \( R \) is chiral, it migrates with retention of configuration.
\( c \)
\[
\left[\begin{array}{c}
0 \\
R-C \\
\| \\
\dot{N}
\end{array}\right]
\]
A mixture of four different amines is formed, which suggests that a free acyl nitrene (diag) intermediate is formed.
D. A mixture of two different amines and a free acyl nitrene intermediate is formed. | 1 | Chemistry |
has a radius \( \boldsymbol{R} \) and height \( \boldsymbol{L}_{\mathbf{0}} \). The
cylinder is open at its bottom and has a
small hole at its top. A piston of mass
\( M \) is held at a distance \( L \) from the top
surface as shown in Fig. The
atmospheric pressure is \( \boldsymbol{p}_{0} \)
The piston is now pulled out slowly and
held at a distance \( 2 L \) from the top. The
pressure in the cylinder between its top
and the piston will then be:
\( \mathbf{A} \cdot P_{0} \)
в. \( \frac{P_{0}}{2} \)
c. \( \frac{P_{0}}{2}-\frac{M g}{\pi R^{2}} \)
D. \( P_{0}-\frac{M g}{\pi R^{2}} \) | 3 | Physics |
A photoelectric cell emits electrons when illuminated by a \( 60 ~ W \) bulb. If the same cell is illuminated by replacing it with a \( 40 W \) bulb, the observation that can be made is
A. No photoelectric effect takes place
B. Number of photoelectrons increases
c. The kinetic energy of photoelectrons decreases
D. Number of photoelectrons decreases | 3 | Physics |
Identify the correct option(s) related
with the physical properties of the unknown compounds [X] and [Y] formed as major and minor product
respectively in the given reaction.
This question has multiple correct options
A. Water solubility of [Y] is greater than [X]
B. Boiling point of [Y] is greater than [X]
C. Melting point of [Y] is greater than [X]
D. \( [x] \) is more volatile than \( [Y] \) | 1 | Chemistry |
The volume of glass vessel is \( 1000 \mathrm{cc} \) at
\( 20^{\circ} \mathrm{C} . \) What volume of mercury should
be poured into it at this temperature so that the volume of the remaining space does not change with temperature? Coefficient of cubical expansion of
mercury and glass are \( 1.8 \times \) \( \mathbf{1 0}^{-4} /^{\circ} \mathbf{C} \) and \( \mathbf{9 . 0} \times \mathbf{1 0}^{-\mathbf{5}} /^{\circ} \mathbf{C} \)
respectively.
A . 100 c.
в. \( 10 \mathrm{cc} \)
c. \( 500 c c \)
D. 5 с. | 3 | Physics |
Find the area (sq.units) bounded by \( \boldsymbol{y}=\sin ^{-1} \boldsymbol{x} \) and \( \boldsymbol{y}=\cos ^{-1} \boldsymbol{x} \) and \( \mathbf{x} \) -axis. | 2 | Maths |
What do you mean by electrical
resonance? An LC circuit is in a
condition of resonance. If \( C=1.0 \times 10^{-6} \)
\( F \) and \( L=0.25 H, \) then find the frequency
of oscillation of the circuit. | 3 | Physics |
How many alkene on catalytic hydrogenation given isopentane as a product?
\( A \cdot 2 \)
B. 4
\( c \cdot 3 \)
D. | 1 | Chemistry |
\( \mathrm{f} f_{0}^{\pi / 3} \frac{\cos }{3+4 \sin x} d x= \)
\( K \log \frac{(3+2 \sqrt{3})}{3} \) then \( K \) is
A \( \cdot \frac{1}{2} \)
B.
\( c \cdot \frac{1}{4} \)
D. | 2 | Maths |
\( A 750 H z, 20 V \) source is connected to a resistance of \( 100 \Omega, \) an inductance of \( 0.1803 H \) and a capacitance of \( 10 \mu F \) all
in series. Calculate the time in which
the resistance (thermal capacity
\( \left.2 J /^{o} C\right) \) will get heated by \( 10^{\circ} \mathrm{C} \). (lgnore radiation)
A . 6.8 min
B. 5.8 min
c. 7.8 min
D. 9.8 min | 3 | Physics |
Explain why
(a) The blood pressure in humans is
greater at the feet than at the brain
(b) Atmospheric pressure at a height of about \( 6 \mathrm{km} \) decreases to nearly half of its value at the sea level, though the
height of the atmosphere is more than \( 100 \mathrm{km} \)
(c) Hydrostatic pressure is a scalar quantity even though pressure is force divided by area | 3 | Physics |
Solve the following differential equation \( \left(x^{2}+1\right) \frac{d y}{d x}=1 \) | 2 | Maths |
Write an essay on clotting of blood. | 0 | Biology |
Rockets are lunched in Eastward
direction to take advantage of:
A. The clear sky on Eastersn side
B. The thinner atmosphere on this side
c. both A and B
D. non of the above | 3 | Physics |
The displacement of \( m^{\prime} \) on \( M \) is
A \( .0 .3 m \)
в. \( 0.2 m \)
c. \( 0.98 m \)
D. \( 0.1 m \) | 3 | Physics |
If a quadrilateral \( A B C D \) is such that
\( A B=b, A D=d \) and \( A C=m b+p d \)
\( (m+p \geq 1), \) then the area of the
quadrilateral is \( k(p+m)|b \times d|, \) where
\( k \) is equal to
A \( \cdot \frac{1}{4} \)
B. \( \frac{1}{8} \)
\( c \cdot \frac{1}{2} \)
D. None of these | 2 | Maths |
The linear relation between the vectors
\( \boldsymbol{a}+\boldsymbol{3} \overline{\boldsymbol{b}}+\boldsymbol{4} \boldsymbol{c}, \overline{\boldsymbol{a}}-\boldsymbol{2} \overline{\boldsymbol{b}}+\boldsymbol{3} \overline{\boldsymbol{c}}, \overline{\boldsymbol{a}}+\mathbf{5} \overline{\boldsymbol{b}}-\boldsymbol{2} \overline{\boldsymbol{c}} \)
\( 6 \bar{a}+14 \bar{b}+4 \bar{c} \) is
\( \mathbf{A} \cdot(\bar{a}+3 \bar{b}+4 \bar{c})+2(\bar{a}-2 \bar{b}+3 \bar{c})+ \)
\[
\text { 2 }(\bar{a}+5 \bar{b}-2 \bar{c})-1(6 \bar{a}+14 \bar{b}+4 \bar{c})=\overline{0}
\]
B . \( 1(\bar{a}+3 \bar{b}+4 \bar{c})+2(\bar{a}-2 \bar{b}-3 \bar{c})+ \)
\[
\text { 3 }(\bar{a}+5 \bar{b}-2 \bar{c})-2(7 \bar{a}+14 \bar{b}+4 \bar{c})=\overline{0}
\]
C \( .1(\bar{a}+3 \bar{b}+4 \bar{c})+2(\bar{a}-2 \bar{b}+3 \bar{c})+ \)
\[
\text { 3 }(\bar{a}+5 \bar{b}-2 \bar{c})-1(6 \bar{a}+14 \bar{b}+4 \bar{c})=\overline{0}
\]
D. \( (\bar{a}+3 \bar{b}+4 \bar{c})+(\bar{a}-2 \bar{b}+3 \bar{c})+ \)
\[
(\bar{a}+5 \bar{b}-2 \bar{c})-(6 \bar{a}+14 \bar{b}+4 \bar{c})=\overline{0}
\] | 2 | Maths |
Assertion
Zinc is used in the galvanization of iron.
Reason
Its coating on iron articles increases their life by protecting them from
rusting.
A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion
B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion
C. If Assertion is correct but Reason is incorrect
D. If Assertion is incorrect but Reason is correct | 1 | Chemistry |
The elevator shown in figure is descending, with an acceleration of 2
\( m / s^{2} . \) The mass of the block \( A \) is 0.5 kg.
The force exerted by the block A on the block B is -
\( A \cdot 2 N \)
в. 4 ।
\( c \cdot 6 N \)
\( D \cdot 8 n \) | 3 | Physics |
Which of the following part of the bird is modified as wings?
A. Breast bones
B. Forelimbs
c. Hindlimbs
D. All of the above | 0 | Biology |
The solution of the differential equation \( \left(\frac{d y}{d x}\right)^{2}-3 x\left(\frac{d y}{d x}\right)-2 y=8 \)
A \( \cdot y=2 x^{2}+4 \)
B . \( y=2 x^{2}-4 \)
\( \mathbf{c} \cdot y=2 x+4 \)
D. \( y=2 x-4 \) | 2 | Maths |
Match the definition to the apt term in
the list given below:
The principle that transmission of an impulse is either at full strength or not
at all-
all-or-none law, colour vision, afferent nerves, efferent nerves, fovea centralis
impulse, macula lutea, myopia,
neuron reflex, statoreceptor, visual acuity meninges, blind spot | 0 | Biology |
What is the nature of the graph: \( y= \)
\( 2 x^{2} \)
A. parabola passing through origin
B. Hyperbola passing through origin
c. ellipse passing through origin
D. Hyperbola but not passing through origin | 2 | Maths |
Ethylene chloro hydrin is the product of following reaction:
A. \( C H_{2}=C H_{2}+H O C l \)
в. \( C H_{2}=C H_{2}+H_{2} \)
\( \mathbf{c} \cdot C H_{2}=C H_{2}+C l_{2} \)
D. \( C H_{2}=C H_{2}+H O B r \) | 1 | Chemistry |
When we press the bulb of dropper with
its nozzle kept in water, air in the
dropper is seen to escape in the form of bubbles. Once we release the pressure
on the bulb, water gets filled in the
dropper. The rise of water in the dropper
is due to:
A. Pressure of water
B. Gravity of the earth
c. shape of rubber bulb
D. Atmospheric pressure | 3 | Physics |
When a liquid is heated retaining its liquid state, then its molecules gain
A. Kinetic energy
B. potential energy
c. heat energy
D. both kinetic and potential energy | 3 | Physics |
The current in the coil is reversed, and
the coil is rotated about its vertical axis
by an angle of \( 90^{\circ} \) in the anticlockwise
sense looking from above. Predict the direction of the needle. Take
the magnetic declination at the places to be zero. | 3 | Physics |
\( \left|\begin{array}{ccc}2 & -3 & 3 \\ 2 & 2 & 3 \\ 3 & -2 & 2\end{array}\right| \) | 2 | Maths |
Properties of magnetic lines of force
are:
A. The imaginary lines which represent the direction of magnetic field, are known as magnetic lines of force.
B. Magnetic lines of force are closed curves.
C. Outside the magnet their direction is from north pole to south pole and inside the magnet these are from south to north pole.
D. All | 3 | Physics |
A thin uniform rod of mass \( M \) and
length \( L \) is hinged at its upper end released from rest in horizontal
position. The tension at a point located
at a point located at a point, when the
rod becomes vertical, will be:
A \( \cdot \frac{22 M g}{27} \)
в. \( \frac{11 M g}{13} \)
c. \( \frac{6 M g}{11} \)
\( \mathbf{D} \cdot 2 M q \) | 3 | Physics |
The formula of potassium superoxide is
A \( \cdot K O_{2} \)
в. \( K_{2} \) о
c. \( K_{2} O_{2} \)
D. None of these | 1 | Chemistry |
Describe anomalous behaviour of
fluorine with the other elements of
group 17 with reference to:
Polyhalide ions. | 1 | Chemistry |
Using elementary tansormations, find
the inverse of each of the matrices, if it
exists in \( \left[\begin{array}{ll}2 & 1 \\ 1 & 1\end{array}\right] \) | 2 | Maths |
The structure of hydrocarbon
is
\( \mathbf{A} \cdot M e C \equiv C-H \)
\( \mathbf{B} \cdot H_{2} C=C=C H_{2} \)
\( \mathbf{c} \cdot H_{2} C \equiv C H_{2} \)
D. All of the above | 1 | Chemistry |
Dipole moment of chlorobenzene is
lower than that of cyclohexyl chloride.
Give reason: | 1 | Chemistry |
A uniform magnetic field of \( 1.5 T \) exists
in a cylindrical region of radius \( 10.0 \mathrm{cm} \)
it's direction being parallel to the axis along east to west. A current carrying wire in north-south direction passes through this region. The wire intersects the axis and experiences a force of \( 1.2 N \) downwards. If the wire is turned
from north-south to northeast-
southwest direction, then the magnitude and the direction of the
force is
A. \( 1.2 N \), upwards
B. \( 1.2 \sqrt{2} N \), downward
c. \( 1.2 N \), downwards
D. \( \frac{1.2}{\sqrt{2}} N, \) downwards | 3 | Physics |
Reduce the equation \( 4 x+6 y-7=0 \)
to intercept form.Hence find the length of the segment intercepted between the
axes. | 2 | Maths |
The major product(s) of the following reaction is(are):
\( A \cdot P \)
в. \( Q \)
\( c . R \)
D. | 1 | Chemistry |
A step down transformer has 50 turns
on secondary and 1000 turns on primary winding. If a transformer is connected
to \( 220 V, 1 A \) A.C. source, what is output
current of the transformer?
A \( \cdot \frac{1}{20} A \)
B. 20 A
\( c \cdot 100 A \)
D. 2 A | 3 | Physics |
What is the minimum frequency of
sound waves needed to prepare
emulsion from two immiscible liquids? | 3 | Physics |
Explain the types of waste based on its nature and degradation | 0 | Biology |
Which of the following pairs of substances illustrate the law of multiple proportions?
A. \( C O \) and \( C O_{2} \)
B. \( H_{2} O \) and \( D_{2} O \)
c. \( N a C l \) and \( N a B r \)
D. \( M g O \) and \( M g(O H)_{2} \) | 1 | Chemistry |
If \( \boldsymbol{x}^{\boldsymbol{a}} \boldsymbol{y}^{\boldsymbol{b}}=\boldsymbol{e}^{\boldsymbol{m}}, \boldsymbol{x}^{\boldsymbol{c}} \boldsymbol{y}^{\boldsymbol{d}}=\boldsymbol{e}^{\boldsymbol{n}}, \Delta_{\mathbf{1}}= \)
\( \left|\begin{array}{ll}\boldsymbol{m} & \boldsymbol{b} \\ \boldsymbol{n} & \boldsymbol{d}\end{array}\right|, \triangle_{2}=\left|\begin{array}{ll}\boldsymbol{a} & \boldsymbol{m} \\ \boldsymbol{c} & \boldsymbol{n}\end{array}\right| \) and \( \Delta_{\boldsymbol{3}}=\left|\begin{array}{ll}\boldsymbol{a} & \boldsymbol{b} \\ \boldsymbol{c} & \boldsymbol{d}\end{array}\right| \)
the value of \( x \) and \( y \) are respectively
A \( \cdot \frac{\Delta_{1}}{\Delta_{3}} \) and \( \frac{\Delta_{2}}{\Delta_{3}} \)
B. \( \frac{\Delta_{2}}{\Delta_{1}} \) and \( \frac{\Delta_{3}}{\Delta_{1}} \)
\( ^{\mathbf{c}} \cdot \log \left(\frac{\Delta_{1}}{\Delta_{3}}\right) a n d \log \left(\frac{\Delta_{2}}{\Delta_{3}}\right) \)
\( \mathbf{D} \cdot e^{\Delta_{1} / \Delta_{3}} \) and \( e^{\Delta_{2} / \Delta_{3}} \) | 2 | Maths |
An automobile is started from rest with
one of its doors initially at right angles. If the hinges of the door are toward the front of the car, the door will shut as the
automobile picks up speed. The acceleration a is constant and the
centre of mass is at a distance d from
the hinges. The time \( T \) needed for the doors to close is given by:
\( \left[\text {Given}: \int_{0}^{\frac{\pi}{2}} \frac{\boldsymbol{d} \boldsymbol{\theta}}{\sqrt{\sin \theta}}=\boldsymbol{N}\right] \) (Consider
the door as a square plate)
A \( \cdot \mathrm{T}=(\sqrt{\frac{3 \mathrm{d}}{2 \mathrm{a}}}) \mathrm{N} \)
B. \( \mathrm{T}=(\sqrt{\frac{\mathrm{d}}{3 \mathrm{a}}}) \mathrm{N} \)
c. \( \mathrm{T}=(\sqrt{\frac{2 \mathrm{d}}{\mathrm{a}}}) \mathrm{N} \)
D. \( \mathrm{T}=(\sqrt{\frac{2 \mathrm{d}}{3 \mathrm{a}}}) \mathrm{N} \) | 3 | Physics |
The quotient and remainder when
\( 3 x^{4}+6 x^{3}-6 x^{2}+2 x-7 \) is divided by
\( x-3 \) are
A. Quotient: \( 3 x^{3}+15 x^{2}+39 x+119 \) and Remainder: 350
B. Quotient: \( 3 x^{3}+10 x^{2}+39 x+119 \) and Remainder: 35
C . Quotient: \( 3 x^{3}+15 x^{2}+39 x+119 \) and Remainder: 50
D. Quotient: \( 3 x^{3}+15 x^{2}+119 \) and Remainder: 350 | 2 | Maths |
In aqueous solution of soap, head is towards the surface of water and tail is
pointing away from the water. if true, enter 1 , else enter 0 . | 1 | Chemistry |
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