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What is a fuse ? How does it work? | 3 | Physics |
Give two examples of bio-degradable polymers? | 1 | Chemistry |
In the extraction of \( \mathrm{Cu} \), the reaction
takes place in bessemer converter is:
This question has multiple correct options
A \( \cdot 2 C u_{2} O+C u_{2} S \rightarrow 6 C u+S O_{2} \)
в. \( 2 C u F e S_{2}+O_{2} \rightarrow C u_{2} S+F e S+S O_{2} \)
c. \( 2 C u_{2} S+3 O_{2} \rightarrow 2 C u_{2} O+2 S O_{2} \)
D. 2 FeS\( +30_{2} \rightarrow 2 \)Fe\( O+2 \)SO\( _{2} \) | 1 | Chemistry |
Ine aata glven In the table snows species richness of mosses, shrubs and trees calculated for one hectare
\( \left(10,000 m^{2}\right) \) of land every 50 years for
200 years based on a long running
ecological study. According to the data natural disaster
occurred during which time period?
\( \begin{array}{llll}\text { Year } & \text { Mosses } & \text { Shrubs } & \text { Trees } \\ 1800 & 16 & 2 & 0 \\ 1850 & 21 & 7 & 4 \\ 1900 & 10 & 5 & 3 \\ 1950 & 13 & 12 & 6 \\ 2000 & 17 & 28 & 14\end{array} \)
A . \( 1750-1800 \)
B. 1800-1850
c. \( 1850-1900 \)
D. 1900-1950
E \( 1950-2000 \) | 0 | Biology |
In the reaction \( \boldsymbol{H}_{2} \boldsymbol{O}_{2}+\boldsymbol{2} \boldsymbol{K} \boldsymbol{I}+\boldsymbol{H}_{2} \boldsymbol{S} \boldsymbol{O}_{4} \)
\( \rightleftharpoons 2 H_{2} O+I_{2}+K_{2} S O_{4}, \) the
concentration of lodine changes from 0
to \( 20^{-5} \) mol \( L^{-1} \) in 10 secs. Find the
average rate of the reaction.
A \( \cdot 20^{-7} \) molL \( ^{-1} \) sec \( ^{-1} \)
B. \( 20^{-4} \)mol\( L^{-1} \)sec\( ^{-1} \)
c. \( 20^{-5} \) molL \( ^{-1} \) sec \( ^{-1} \)
D. \( 20^{-6} \)molL\( ^{-1} \)sec\( ^{-1} \) | 1 | Chemistry |
What will be the metabolic fate of
pyruvic acid in absence of \( O_{2}: \)
A. Partial oxidation will take place
B. Complete oxidation
c. Utilisation for reoxidation of NADH
D. Dependent on energy needd | 0 | Biology |
Solve the following differential eqauton
\( \boldsymbol{y}^{2} \boldsymbol{d} \boldsymbol{y}-\boldsymbol{x}^{2} \boldsymbol{d} \boldsymbol{x}=\mathbf{0} \) | 2 | Maths |
The stem and leaves of the plant grow
upwards, away from the soil, is an example of
A. Negative geotropism
B. Positive geotropism
c. Negative phototropism
D. Positive hydrotropism
E. Negative hydrotropism | 0 | Biology |
Differentiate w.r.t.x: \( \left(\frac{\sin x+\cos x}{\sin x-\cos x}\right) \) | 2 | Maths |
\( \boldsymbol{P} \boldsymbol{Q} \boldsymbol{R} \boldsymbol{C} \) parallelogram, \( \boldsymbol{Q} \boldsymbol{M} \) is the
height form \( Q \) to \( R C \) and \( Q N \) is the
height from \( Q \) to \( P S \). If \( R C=12 \mathrm{cm} \)
and \( \boldsymbol{Q} \boldsymbol{M}=\mathbf{7 . 6 c m} . \) Find
(a) the area of the parallegram \( P Q R C \)
\( (b) Q N \) if \( P S=8 c m \) | 2 | Maths |
Which of the following explains heat transfer by convection?
A. When a substance is heated, molecules absorb heat energy and vibrate. When neighbouring molecules collide, energy is transmitted through the material.
B. When a substance is heated, molecules absorb heat energy and substance expands. Due to this, density of heated molecules decreases and so they rise upwards taking the heat energy along with them
C. Heat radiation is transmitted with the help of waves.
D. None of the above | 3 | Physics |
A hole is:
A. a positively charged electron
B. an electron in valence band
c. an unfilled covalent bond
D. an excess electron in covalent bond | 3 | Physics |
The perimeter of a rectangular sheet is \( 100 \mathrm{cm} . \) If the length is \( 35 \mathrm{cm}, \) find its breath Also find the area. | 2 | Maths |
Which of the following are APs ? If they form an AP, find the common difference
\( d \) and write three more terms.
(i) \( 2,4,8,16, \dots \)
(ii) \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
(iii) \( -1.2,-3.2,-5.2,-7.2, \dots \)
\( (i v)-10,-6,-2,2, \dots \)
\( (v) 3,3+\sqrt{2}, 3+2 \sqrt{2}, 3+3 \sqrt{2} \)
(vi) \( 0.2,0.22,0.222,0.2222, \ldots \)
\( (v i i) 0,-4,-8,-12, \dots \)
\( (\text { viii })-\frac{1}{2},-\frac{1}{2},-\frac{1}{2},-\frac{1}{2}, \dots \)
\( (i x) 1,3,9,27 \)
\( (x) a, 2 a, 3 a, 4 a, \dots \)
\( (x i) a, a^{2}, a^{3}, a^{4}, \dots \)
\( (x i i) \sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32}, \dots \)
\( (x \text { iii }) \sqrt{3}, \sqrt{6}, \sqrt{9}, \sqrt{12}, \dots \)
\( (x i v) 1^{2}, 3^{2}, 5^{2}, 7^{2}, . . \)
\( (x v) 1^{2}, 5^{2}, 7^{2}, 73, \dots \) | 2 | Maths |
In the above problem, what is the
acceleration of the cart at this instant?
A \( \cdot 1.6 m / s^{2} \)
В \( \cdot 1 m / s^{2} \)
c. \( 0.64 m / s^{2} \)
D. \( 0.16 m / s^{2} \) | 3 | Physics |
When a drop of an unknown solution is
placed on a strip of \( p H \) paper, a deep red colour is produced. This sample should be which one of the following?
A. \( N a O H \)
в. НС l
\( \mathrm{c} \cdot \mathrm{H}_{2} \mathrm{O} \)
D. \( C H_{3} \) СООН | 1 | Chemistry |
Find the location of charge on the
conducting shell.
\( \mathbf{A} \cdot+2 Q \) on the inner surface at \( r=a, Q \) on the outer
surface of the conductor at \( r=b \)
B. \( -2 Q \) on the inner surface at \( r=a, Q \) on the outer
surface of the conductor at \( r=b \)
C. \( +2 Q \) on the inner surface at \( r=a, 3 Q \) on the outer
surface of the conductor at \( r=b \)
D. \( -2 Q \) on the inner surface at \( r=a, 3 Q \) on the outer
surface of the conductor at \( r=b \) | 3 | Physics |
Among the halides, (i) \( -B C l_{3}, \) (ii)
\( -A l C l_{3}(\text { iii })-G a C l_{3}(\text { iv })-T l C l_{3} . \) The
order of lewis acidic nature is :
\( A \cdot(i)>(\text { ii })>(\text { iii })>(i v) \)
B. (ii) > (i) > (iii) > (iv)
c. (iv) \( > \) (iii) > (ii) > (i)
D. (iv) > (i) > (ii) > (iii | 1 | Chemistry |
\( \ln F e C r_{2} O_{4}, \) the oxidation number of \( f e \)
and Cr are:
\( A \cdot+2 \) and +3
B. 0 and +2
\( c \cdot+2 \) and +6
D. 2 and | 1 | Chemistry |
The displacement of the medium in a sound wave is given by the equation
\( \boldsymbol{y}_{1}=\boldsymbol{A} \cos (\boldsymbol{a} \boldsymbol{x}+\boldsymbol{b} \boldsymbol{t}) \) where ,a and b are
positive constants. The wave is reflected by an obstacle situated at
\( x=0 . \) The intensity of the reflected
wave is 0.64 times that of the incident
wave. Then, the wavelength ond frequency of the incident wave are
A \( . a, b \)
в. \( 2 \pi a, 2 \pi b \)
c \( .2 \pi / a, 2 \pi / b \)
D. \( 2 \pi / a, b / 2 \pi \) | 3 | Physics |
topp \( E \)
\( Q \) туре уочт чuestion
4
(1)
B.
(2)
\( c \)
(3)
\( D \)
(4) | 1 | Chemistry |
Find all functions \( f(x) \) defined on \( \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \) with real values and has a
primitive \( F(x) \) such that \( f(x)+ \) \( \cos x \cdot F(x)=\frac{\sin 2 x}{(1+\sin x)^{2}} . \) Then find
\( f(x) \)
A \( \cdot f(x)=-\frac{2 \cos x}{(1+\sin x)^{2}}-C e^{-\cos x} \cdot \sin x \)
B. \( f(x)=-\frac{2 \cos x}{(1+\sin x)^{2}}-C e^{-\sin x} \cdot \cos x \)
C \( \quad f(x)=-\frac{2 \cos x}{(1+\cos x)^{2}}-C e^{\sin x} \cdot \sin x \)
D. \( f(x)=-\frac{2 \cos x}{(1+\sin x)^{2}}-C e^{\cos x} \cdot \cos x \) | 2 | Maths |
Which of the given structures of cyanobacteria has functional resemblance with the chloroplast?
A. Lamellasome
B. Plasma membrane
c. Ribosome
D. Chromatophore | 0 | Biology |
\( C l_{2} \) gas acts as powerful oxidizing
agent. Give reason. | 1 | Chemistry |
HOPE is a parallelogram as shown in
the given figure. The value of \( y \) is
\( \mathbf{A} \cdot 21^{\circ} \)
B . \( 14^{\circ} \)
\( c \cdot 35^{\circ} \)
\( D \cdot 27 \) | 2 | Maths |
ff \( y=x^{x} \), prove that \( \frac{d^{2} y}{d x^{2}}-\frac{1}{y}\left(\frac{d y}{d x}\right)^{2} \)
\( \frac{\boldsymbol{y}}{\boldsymbol{x}}=\mathbf{0} \) | 2 | Maths |
If a battery of \( 1.6 V \) is connected to Daniel cell, current flows:
A. into the cell
B. out of the cell
c. neither in nor out of the cell
D. both ways | 1 | Chemistry |
Select the correct statement about
carbonium ion, \( \stackrel{\oplus}{C} \boldsymbol{H}_{\mathbf{5}} \)
A. This cation shares eight electrons among five bonds
B. There is no empty orbital
C. It is not electron deficient
D. All the above are correct statements | 1 | Chemistry |
Find the correct Standard Deviation:
A . 5.24
в. 4.93
\( c .5 .01 \)
D. None of the above | 2 | Maths |
Let \( R=\left\{\left(a, a^{3}\right): a \) is a prime number \right.
less than \( 10\} \). Find dom(R). | 2 | Maths |
The area enclosed by the curves \( y= \)
\( \sin x+\cos x \) and \( y=|\cos x-\sin x| \) over
the interval \( \left[\mathbf{0}, \frac{\pi}{2}\right] \) is
A. \( 4(\sqrt{2}-1) \)
B. \( 2 \sqrt{2}(\sqrt{2}-1) \)
c. \( 2(\sqrt{2}+1) \)
D. \( 2 \sqrt{2}(\sqrt{2}+1) \) | 2 | Maths |
Why are highly electro-positive metals used in electro-metallurgy?
A. Their compounds are highly stable.
B. They do not decompose on heating to give metals.
c. They cannot be reduced by reducing agents
D. All of the above. | 1 | Chemistry |
Fill in the blank.
type of reproduction occurs
in Hydra.
A. Binary fission
B. Multiple fission
c. Budding
D. Fragmentation | 0 | Biology |
State True or False.
The observed pressure of a real gas is more than the ideal pressure
A. True
B. False | 1 | Chemistry |
Subtract \( 1.5 \times 10^{3} \) from \( 4.8 \times 10^{4} \) with
due regard to significant figures.
A. \( 4.6 \times 10^{4} \)
B. \( 4.6 \times 10^{5} \)
c. \( 4.6 \times 10^{6} \)
D. \( 5 \times 10^{4} \) | 3 | Physics |
Find a vector of magnitude 4 units which is parallel to the vector \( \sqrt{\mathbf{3}} \hat{\mathbf{i}} \) | 3 | Physics |
If \( \sqrt{1-x^{2}}+\sqrt{1-y^{2}}=a(x-y) \) then
show that \( \frac{d y}{d x}=\sqrt{\frac{1-y^{2}}{1-x^{2}}} \) | 2 | Maths |
In the product \( B A \times B 3=57 A \), what
are the respective positional values of \( \mathrm{B} \) and A?
\( A \cdot 6,7 \)
B. 5, 2
\( c \cdot 7,4 \)
D. 2, 5 | 2 | Maths |
The velocity with which it must be projected is \( \sqrt{\frac{2 n g R}{n+1}}, \) where \( R \) is the radius of the earth and \( m \) the mass of
body. | 3 | Physics |
Find the greatest and the least values of the following function:
\( f(x)=\cos 3 x-15 \cos x+8 \) where
\( \boldsymbol{x} \epsilon\left[\frac{\boldsymbol{\pi}}{\mathbf{3}}, \frac{\boldsymbol{3} \boldsymbol{\pi}}{\boldsymbol{2}}\right] \) | 2 | Maths |
The energy directly related to the speed of a moving body and its mass is:
A. Kinetic
B. Potential
c. solar
D. Electric | 3 | Physics |
An aqueous solution containing \( \boldsymbol{H} \boldsymbol{g}_{2}^{2+}, \boldsymbol{H} \boldsymbol{g}^{2+}, \boldsymbol{P b}^{2+}, \boldsymbol{F} \boldsymbol{e}^{2+} \) is treated with
dil HCI. The cations that may be
precipitate are This question has multiple correct options
\( \mathbf{A} \cdot H g_{2}^{2+} \)
B. \( H g^{2+} \)
\( \mathrm{c} \cdot P b^{2} \)
D. \( F e^{2} \) | 1 | Chemistry |
The force of gravity on a body of mass \( \mathrm{W} \) on the surface of the earth is
\( A \cdot w \)
в. \( w \times g \)
c. \( \frac{W}{g} \)
D. \( W \times g^{2} \) | 3 | Physics |
Formation of calcium oxide and carbon
dioxide by heating limestone is an example of double decomposition reaction.
A. True
B. False | 1 | Chemistry |
If \( \sin ^{2} m x+\cos ^{2} n y=a^{2} \) then \( \frac{d y}{d x}= \)
A. \( \frac{m \cdot \sin 2 m x}{n \cdot \sin 2 n y} \)
B. \( \frac{m \cdot \sin m x}{n \cdot \sin n x} \)
c. \( \frac{-m \cdot \cos 2 m x}{n \cdot \cos 2 n x} \)
D. \( \frac{n \cdot \sin 2 m x}{m \cdot \sin 2 n x} \) | 2 | Maths |
All types of electromagnetic radiations
possess same:
A. wavelength
B. frequency
c. energy
D. velocity when passed through vacuum | 1 | Chemistry |
Solve
\( 7 \sin ^{2} \theta+3 \cos ^{2} \theta=4 \) | 2 | Maths |
t-buty \( \mid-C=C H-C_{\|}-O H \) can't
give decarboxylation while normally
\( \alpha-\beta \) unsaturated acid give this
reaction because:
A. t-butyl gp, has large size and does not let the \( C O O H \) group to leave.
B. t-butyl gp. can't extract \( H \) from \( C O O H \)
C. t-butyl gp. destabilise carbanion formed
D. t-buty gp, does not allow this composition to convert to \( \beta-\gamma \) unsaturated acid | 1 | Chemistry |
What is the solution of \( (1+2 x) d y- \)
\( (1-2 y) d x=0 ? \)
A. \( x-y-2 x y=c \)
в. \( y-x-2 x y=c \)
c. \( y+x-2 x y=c \)
D. \( x+y+2 x y=c \) | 2 | Maths |
If in the circuit shown in Fig. power dissipation is \( 150 \mathrm{W} \), then find the value of \( R(\text { in } \Omega) \) | 3 | Physics |
A uniform disk rotating with constant
angular acceleration covers 50
revolutions in the first five seconds
after the start. Calculate the angular
acceleration and the angular velocity at the end of five seconds. | 3 | Physics |
Evaluate the definite integral, \( \int_{-1}^{1} \frac{\left(x^{332}+x^{998}+4 x^{1668} \cdot \sin x^{691}\right)}{1+x^{666}} d x \)
A \( \cdot \frac{2}{333} \)
в. \( \frac{1}{333} \)
c. \( \frac{4}{33} \)
D. \( \frac{5}{333} \) | 2 | Maths |
A ball of mass \( 0.2 \mathrm{kg} \) is thrown vertically upwards by applying a force by hand. If the hand moves \( 0.2 \mathrm{m} \) while applying
the force and the ball goes up to 2 in height further, find the magnitude of
the force. Consider \( g=10 m / s^{2} \)
\( A \cdot 16 N \)
B. 20 N
c. 22
D. \( 180 \mathrm{N} \) | 3 | Physics |
When \( x^{3}-2 x^{2}+a x-b \) is divided by
\( x^{2}-2 x-3, \) the remainder is \( x-6 . \) The
values of \( a \) and \( b \) are respectively:
\( A \cdot-2 \) and -6
B. 2 and -6
c. -2 and 6
D. 2 and 6 | 2 | Maths |
The correct statement about the given
reaction is:
\( \mathbf{A} \cdot M e_{3} C-O M e \) with anhydrous \( H I \) gives this reaction
B. \( M e_{3} C-O M e \) with concentrated \( H I \) gives this
reaction
\( \mathbf{C} . \) Both \( A \) and \( \mathbf{B} \)
D. None of the above | 1 | Chemistry |
In a polar covalent molecule, the shared
electrons are shifted towards the more
electronegative element.
A. True
B. False | 1 | Chemistry |
The template for protein synthesis is
A. DNA
B. mRNA
c. rRNA
D. tRNA | 0 | Biology |
The figure represents total period of one cardiac cycle ie 0.8 sec and \( A, B \) and \( C \)
represent its stages. Identify \( A, B \) and \( C \)
and select the correct statement
regarding them.
A. During A, tricuspid and bicuspid valves open and blood flows from atria into the ventricles.
B. During B, bicuspid and tricuspid valves close producing first heard sound
C. During C, the semilunar valves close producing second heart sound.
D. During B, the atria contract due to a wave of contraction by SA node. | 0 | Biology |
A solution of \( (-)-2 \) -chloro- 2 phenylethane in toluene racemises slowly in the presence of a small
amount of \( S b C l_{5}, \) due to the formation
of:
A. Carbene
B. Carbocation
c. Free radical
D. Carbanion | 1 | Chemistry |
Label the hydrophilic and hydrophobic parts in the following compounds.
(i) \( \boldsymbol{C H}_{3}\left(\boldsymbol{C H}_{2}\right)_{10} \boldsymbol{C H}_{2} \boldsymbol{O} \boldsymbol{S} \overline{\boldsymbol{O}_{3}} \stackrel{+}{\boldsymbol{N} \boldsymbol{a}} \)
(ii) \( \boldsymbol{C H}_{3}\left(\boldsymbol{C H}_{2}\right)_{15} \stackrel{+}{\boldsymbol{N}}\left(\boldsymbol{C H}_{3}\right)_{3} \overline{\boldsymbol{B}} \boldsymbol{r} \)
(iii)
\( \boldsymbol{C H}_{3}\left(\boldsymbol{C H}_{2}\right)_{16} \boldsymbol{C O O}\left(\boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{O}\right)_{n} \boldsymbol{C H}_{2} \boldsymbol{C} \) | 1 | Chemistry |
What must be added to \( x^{3}-3 x^{2}- \)
\( 12 x+19 \) so that the result is exactly
divisible by \( x^{2}+x-6 ? \)
A \( .2 x-5 \)
B. \( 2 x+5 \)
c. \( -2 x-5 \)
D. \( x+5 \) | 2 | Maths |
The electric potential at the surface of an atomic nucleus \( (z=50) \) of radius
\( 9.0 \times 10^{-13} \mathrm{cm} \) is:
A \( \cdot 9 \times 10^{5} \) volt
B. \( 8 \times 10^{6} \) volt
c. 80 volt
D. 9 volt | 3 | Physics |
Two point charges \( +q \) and \( -q \) are held fixed at \( (-d, 0) \) and \( (d, 0) \) respectively of
a \( x-y \) coordinate system. Then:
A. The electric field \( \mathrm{E} \) at all points on the axis has the same direction
B. Work has to be done in bringing a test charge from \( \infty \) to the orgin
C. Electric field at all points on y-axis is along x-axis
D. The dipole moment is 2qd along the x-axis | 3 | Physics |
What are the factors affecting electrophoresis? | 1 | Chemistry |
\( \mathbf{a}=\left|\begin{array}{ccc}\cos \theta / 2 & 1 & 1 \\ 1 & \cos \theta / 2 & -\cos \theta / 2 \\ -\cos \theta / 2 & 1 & -1\end{array}\right| \)
If the minimun of \( \Delta \) is \( m_{1} \) and
maximum of \( \Delta \) is \( m_{2}, \) then \( \left[m_{1}, m_{2}\right] \) are
related
A. [-4,-2]
B. [2, 4]
\( c \cdot[-4,0] \)
D. [0, 2] | 2 | Maths |
What is an a.c. generator or Dynamo
used for? Name the principle on which it
works. | 3 | Physics |
Out of total water content, sea
constitutes
A . 97.5\%
B. 71\%
c. 81\%
D. 91.2\% | 0 | Biology |
When a carbohydrate reacts with
\( N a B H_{4}, \) the product is an:
A. Alditol
B. Aldaric acid
c. Aldonic acid
D. Aglycone | 1 | Chemistry |
The amount left after completion of average life period in a first order reaction is :
A \( \cdot \frac{a(e-1)}{e+1} \)
B. \( \frac{a}{e-1} \)
c. \( \frac{a(e-1)}{e} \)
D. | 1 | Chemistry |
Find \( \frac{d y}{d x} \) if \( 3 x+4 y=9 \) | 2 | Maths |
The total production during the months
of April, May and June of the three items
\( A, B \) and \( C \) are in the ratio:
\( A \cdot 7: 5: 7 \)
B. 7: 4: 4.5
\( \mathbf{c} \cdot 7: 4.5: 4 \)
D .4 .5: 6: 5 \) | 2 | Maths |
Statement-1: Alcoholic fermentation
involves conversion of sugar into
ethanol by the action of yeast. Statement-2: Fermentation involves the
liberation of \( C O_{2} \) gas
A. Statement-1 is True, Statement-2 is True; statementis a correct explanation for statement- -
B. Statement-1 is True, Statement-2 is True; statementis NOT a correct explanation for statement-1
c. statement- - is True, statement-2 is False
D. Statement-1 is False, statement-2 is True | 1 | Chemistry |
In the given Fischer Projection, which
group is oriented toward you?
A. Hydroxyl
B. Carboxylic
c. Ethyl
D. All of the above | 1 | Chemistry |
The product of resistivity and conductivity of a cylindrical conductor depends on
A. Temperature
B. Material
c. Area of cross-section
D. None of the above | 3 | Physics |
Name the following compounds according to IUPAC system of
nomenclature:
(i) \( \boldsymbol{C H}_{3} \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right) \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C H O} \)
(ii)
\( \boldsymbol{C H}_{3} \boldsymbol{C H}_{2} \boldsymbol{C O C H}\left(\boldsymbol{C}_{2} \boldsymbol{H}_{5}\right) \boldsymbol{C H}_{2} \boldsymbol{C H}_{2} \boldsymbol{C l} \)
(iii) \( \boldsymbol{C H}_{3} \boldsymbol{C H}=\boldsymbol{C H C H O} \)
(iv) \( \boldsymbol{C H}_{3} \boldsymbol{C O C H}_{2} \boldsymbol{C O C H}_{3} \)
\( (v) \)
\( \boldsymbol{C H}_{3} \boldsymbol{C H}\left(\boldsymbol{C H}_{3}\right) \boldsymbol{C H}_{2} \boldsymbol{C}\left(\boldsymbol{C H}_{3}\right)_{2} \boldsymbol{C O C H}_{3} \)
(vi) \( \left(\boldsymbol{C H}_{3}\right)_{3} \boldsymbol{C C H}_{2} \boldsymbol{C O O H} \)
\( \left(\text { vii) } \boldsymbol{O} \boldsymbol{H} \boldsymbol{C} \boldsymbol{C}_{6} \boldsymbol{H}_{4} \boldsymbol{C H} \boldsymbol{O}-\boldsymbol{p}\right. \) | 1 | Chemistry |
Evaluate :
\( \int \log x d x \) | 2 | Maths |
If the angle between two lines is \( \frac{\pi}{4} \) and slope of one of lines is \( \frac{1}{2} . \) Find the slope of the other line. | 2 | Maths |
Phosphorus normally exhibits a covalency of :
\( \mathbf{A} \cdot+3 \) and +5
B. +2 and +3
c. +1 and +2
D. +3 and +4 | 1 | Chemistry |
Define critical temperature of a gas.
Give its expression. | 1 | Chemistry |
The ratio of density of nuclei of \( O^{16} \) and
\( C a^{40} \) is:
A . 1: 1
B. 1: 2
\( c \cdot 1: 3 \)
D. 1: 4 | 3 | Physics |
Simplification of \( \left(\frac{3}{5}\right)^{3} \times\left(\frac{15}{2}\right)^{3} \) is \( \frac{729}{8} \)
A. True
B. False | 2 | Maths |
Reactive metals react with dilute \( H C l \)
to liberate:
A. water
B. hydrogen
c. carbon dioxide
D. oxygen | 1 | Chemistry |
Phosphine, acetylene and ammonia can be formed by treating water with:
A. \( M g_{3} P_{2}, A l_{4} C_{3}, L i_{3} N \)
в. \( C a_{3} P_{2}, C a C_{2}, M g_{3} N_{2} \)
c. \( C a_{3} P_{2}, C a C_{2}, C a C N_{2} \)
D. \( C a_{3} P_{2}, M g_{2} C, N H_{4} N O_{3} \) | 1 | Chemistry |
The dipole moment of a current loop is independent of
A. current in the loop
B. number of turns
c. area of the loop
D. magnetic field in which it is situated | 3 | Physics |
Which of the following is not related to photorespiration?
A. Lysosome
B. Chloroplast
c. Peroxisome
D. Mitochondria | 0 | Biology |
A child weighing 25 kg slides down a
rope hanging from a branch of a tall free. If the force of friction acting
against him is \( 200 N \), the acceleration
of child is \( \left(\boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} / \boldsymbol{s}^{2}\right) \)
A \( \cdot 22.5 \mathrm{m} / \mathrm{s}^{2} \)
B . \( 8 \mathrm{m} / \mathrm{s}^{2} \)
c. \( 5 m / s^{2} \)
D. \( 2 m / s^{2} \) | 3 | Physics |
How much work can be done by \( 250 c a l \)
of heat?
\( \mathbf{A} \cdot \mathbf{0} \)
в. 1045 erg
c. \( 1045 W \)
D. 1045 J | 3 | Physics |
f \( x \) is real, then find the solution set of
\( \sqrt{x+1}+\sqrt{x-1}=1 \) | 2 | Maths |
A man of mass \( 40 \mathrm{kg} \) is standing on a uniform plank of mass 60 kg lying on horizontal frictionless ice. The man
walks from one end to the other end of
the plank. the distance walked by the man relative to ice is (given length of plank=5m)
A \( .2 \mathrm{m} \)
B. 3 \( m \)
\( c \cdot 5 m \)
D. \( 4 \mathrm{m} \) | 3 | Physics |
The value of
\( \frac{\tan ^{2} 60^{0}-2 \tan ^{2} 45^{0}+\sec ^{2} 30^{0}}{3 \sin ^{2} 45^{0} \sin 90^{0}+\cos ^{2} 60^{0} \cos ^{3} 0^{0}} \)
A \( \cdot \frac{49}{12} \)
B. \( \frac{7}{3} \)
c. \( \frac{14}{9} \)
D. | 2 | Maths |
Resonance occurs in a series \( \boldsymbol{L} \boldsymbol{C} \boldsymbol{R} \)
circuit when the frequency of the
applied emf is \( 1000 H z \)
This question has multiple correct options
A. When frequency \( =900 \mathrm{Hz} \), then the current through
the voltage source will be ahead of emf of the source
B. The impedance of the circuit is minimum at \( f= \) \( 1000 \mathrm{Hz} \)
C. At only resonance the voltages across \( L \) and \( C \) differ in phase by \( 180^{\circ} \)
D. If the value of \( C \) is doubled, resonance occurs at \( f= \) \( 2000 \mathrm{Hz} \) | 3 | Physics |
The standard reducation potentials of \( Z n^{2+}\left|Z n, C u^{2+}\right| C u \) and \( A g^{+} \mid A g \)
are respectively -0.76,0.34 and \( 0.8 \mathrm{V} \). The following cells were constructed.
a) \( Z n\left|Z n^{2+}\right|\left|C u^{2+}\right| C u \)
b) \( Z n\left|Z n^{2+} \| A g^{+}\right| A g \)
c) \( C u\left|C u^{2+}\right|\left|A g^{+}\right| A g \)
What is the correct order \( E_{\text {cell }}^{0} \) of these cells?
\( A \cdot \) b>c \( >a \)
B. b>a>c
\( c \cdot a>b>c \)
D. c>asb | 1 | Chemistry |
Which of the above represents the formula for the most common
compound of \( A \) and \( B, \) where \( A \) and \( B \) represent given pairs of elements or polyatomic ions as indicated below?
A) \( B e \)
B) \( \boldsymbol{F} \)
\( \mathbf{A} \cdot A B \)
в. \( A B_{2} \)
c. \( A_{2} B \)
D. \( A B_{3} \)
E . \( A_{2} B_{3} \) | 1 | Chemistry |
Assertion
A rocket moves forward by pushing the
surrounding air backwards.
Reason
It derives the necessary thrust to move forward according to Newton's third law of motion.
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 | 3 | Physics |
Which of the following is (are) property
of a diamond?
This question has multiple correct options
A. It is the hardest substance
B. has high refractive index
C. Like metals, it can conduct electricity
D. In diamond each \( \mathrm{C} \) is at the centre of tetrahedron | 1 | Chemistry |
For a first order reaction, if \( \boldsymbol{K}_{\mathbf{1}}: \boldsymbol{K}_{\mathbf{2}}: \boldsymbol{K}_{\mathbf{3}} \)
is \( 1: 2: 3, \) then which of the following
statement(s) is/are incorrect? \( \left([\boldsymbol{A}]_{\mathbf{0}}=\right. \)
\( \mathbf{1} \boldsymbol{M}) \)
A. At time \( t_{\infty} \), [C] is \( 2 / 3 \) M.
B . \( [B]_{t}>[C]_{t} \)
C. When \( [A]_{t}=1 / 2 M, \) then \( [D]=1 M \)
D・ \( [A]_{t}+\frac{\left[B l_{t}\right.}{2}+\frac{[C]_{t}}{2}+\frac{\left[D_{l t}\right.}{4}=1 M \) | 1 | Chemistry |
\( \lim _{x \rightarrow 1}\left\{-x-\frac{1}{x}\right\}, \) where \( \{.\} \) denotes the
fraction part function
\( A \). is equal to 1
B. is equal to 0
c. Does not exist
D. None of these | 2 | Maths |
The last member of \( 4 n+1 \) series is an
isotope of lead.
A. True
B. False | 1 | Chemistry |
Daniel cell can be represented in which of the following way?
A \( \cdot Z n_{(s)}\left|Z n_{(a q)}^{2+}\right|\left|C u_{(s)}\right| C u_{(a q)}^{2} \)
B. \( Z n_{(s)}\left|Z n_{(a q)}^{2+}\right|\left|C u_{(a q)}^{2+}\right| C u_{(s)} \)
c. \( C u_{(s)}\left|C u_{(a q)}^{2+}\right|\left|Z n_{(a q)}^{2+}\right| Z n_{(s)} \)
D. \( Z n_{(a q)}^{2+}\left|Z n_{(s)}\right|\left|C u_{(a q)}^{a+}\right| C u_{(s)} \) | 1 | Chemistry |
A point \( A(p, q) \) is 2 units away from \( x- \)
axis and 5 units from \( y- \) axis. What
would be its coordinate? | 2 | Maths |
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