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Pyruvate kinase enzyme catalyses
A. First irreversible step of glycolysis
B. Second irreversible step of glycolysis
C. Third irreversible step of glycolysis
D. Fourth irreversible step of glycolysis | 0 | Biology |
\( \int \frac{1}{(x-2)\left(x^{2}+1\right)} d x= \)
A. \( \frac{1}{5}\left[\log |x-2|-\frac{1}{2} \log \left(x^{2}+1\right)+2 \tan ^{-1} x\right]+c \)
B. \( \frac{1}{5}\left[\log |x-2|-\frac{1}{2} \log \left(x^{2}+1\right)-2 \tan ^{-1} x\right]+c \)
C \( \cdot \frac{1}{5}\left[\log |x-2|-\frac{1}{2} \log \left(x^{2}+1\right)-2 \tan ^{-1} x\right]+c \)
D. \( -\frac{1}{2}\left[\log |x+2|+\frac{1}{2} \log \left|x^{2}-1\right|-2 \tan ^{-1} x\right]+c \) | 2 | Maths |
The percentage composition of sodium phosphate as determined by analysis is 42.1\% sodium, 18.9 \% phosphorus and 39 \( \% \) oxygen. Find the empirical formula of the compound \( [\mathrm{Na}=23, \mathrm{P}=31,0=16] \)
A. \( N a_{3} P O_{3} \)
в. \( N a P O_{4} \)
\( \mathbf{c} \cdot N a_{2} P O_{4} \)
D. \( N a_{3} P O_{4} \) | 1 | Chemistry |
Solve the following pair of equations
graphically; \( 2 x-3 y=1, \& 4 x-3 y+ \)
\( \mathbf{1}=\mathbf{0} \)
A. \( x=1 y=-1 \)
В. \( x=-1 y=-1 \)
c. \( x=-1 y=1 \)
D. \( x=1 y=1 \) | 2 | Maths |
Solve: \( \frac{x}{3}>\frac{x}{2}+1 \) | 2 | Maths |
Which statement about enzymes is not
correct?
A. Enzymes are in colloidal state
B. Enzymes are catalysts
c. Enzymes can catalyse any reaction.
D. Urease is an enzymes | 1 | Chemistry |
A compound microscope has a magnification of \( 30 . \) The focal length of the eye-piece is \( 5 \mathrm{cm} . \) If the final image is formed at the least distance of
distinct vision \( 25 c m, \) the magnification produced by the objective is
A . 5
B. 7.5
c. 10
D. 15 | 3 | Physics |
We do not clean ponds or lakes, but an
aquarium needs to be cleaned because
A. An aquarium is an artificial and incomplete ecosystem.
B. Pond/lake are natural, self-sustaining and complete ecosystems.
c. Both A and B
D. None of the above | 0 | Biology |
An object is placed \( 0.40 \mathrm{m} \) from one of
the two lenses \( L_{1} \) and \( L_{2} \) of focal
lengths \( 0.20 \mathrm{m} \) and \( 0.10 \mathrm{m} \) respectively
as depicted in the figure. The
separation between the lenses is 0.30
\( \mathrm{m} \)
The final image formed by this two lens
system is at
A. \( 0.13 \mathrm{m} \) to the right of the second lens
B. \( 0.05 \mathrm{m} \) to the right of the second lens
c. \( 0.13 \mathrm{m} \) to the left of the second lens
D. Infinity | 3 | Physics |
Spore dissemination in some liverworts
is aided by
A. Elaters
B. Indusium
c. calyptra
D. Peristome teeth | 0 | Biology |
\( \ln \Delta A B C \)
\( a^{2}, b^{2}, c^{2} \) are in A.P.
Show cot \( A, \cot B, \cot C \) are in A.P | 2 | Maths |
A group of N cells whose emf varies
directly with the internal resistance as
per the equation \( \boldsymbol{E}_{N}=\mathbf{1 . 5 r}_{N} \) are
connected as shown in the figure. The current I in the circuit is :-
A . 5.1 A
B. 0.51 A
\( c \cdot 1.5 \mathrm{A} \)
D. 0.15 A | 3 | Physics |
Find the area of a quadrilateral \( \boldsymbol{P Q R S} \)
in which \( \angle Q P S=\angle S Q R= \)
\( 90^{\circ}, P Q=12 \mathrm{cm}, P S=9 \mathrm{cm}, Q R= \)
\( 8 c m \) and \( S R=17 \mathrm{cm} \) | 2 | Maths |
The gas law \( \left[\frac{P V}{T}\right]= \) constant is true for
A. isothermal change only
B. adiabatic change only
c. both isothermal \& adiabatic
D. neither isothermal nor adiabatic | 3 | Physics |
Which of the following expressions corresponds to simple harmonic motion along a straight line, where \( x \) is the displacement and a, b, c are positive constants?
A \( \cdot a+b x-c x^{2} \)
B. \( b x^{2} \)
c. \( a-b x+c x^{2} \)
D. \( -b x \) | 3 | Physics |
The molar conductances of HCl, NaCl and
\( C H_{3} C O O N a \) are \( 426,12691 \Omega^{-1} c m^{2} m o l^{-1} \)
respectively. The molar conductances of
\( C H_{3} C O O H \) is :
A \( \cdot 561 \Omega^{-1} \mathrm{cm}^{2} \mathrm{mol}^{-1} \)
B. \( 391 \Omega^{-1} c m^{2} \) mol \( ^{-1} \)
c. \( 261 \Omega^{-1} c m^{2} m o l^{-1} \)
D. \( 612 \Omega^{-1} c m^{2} m o l^{-1} \) | 1 | Chemistry |
A ball thrown vertically upwards with a velocity of \( 25 \mathrm{m} / \mathrm{s} \) reaches its highest point of at \( 35 \mathrm{m} \) in 1.5 sec. Find the total
distance travelled by the ball and its position after 2 sec respectively.
A. Total distance \( =50 \mathrm{m}, \) After \( 2 \mathrm{sec}=25.4 \mathrm{m} \)
B. Total distance \( =35 \mathrm{m} \), After \( 2 \mathrm{sec}=28 \mathrm{m} \)
c. Total distance \( =37.5 \mathrm{m}, \) After \( 2 \mathrm{sec}=50 \mathrm{m} \)
D. Total distance = 70 \( \mathrm{m} \), After 2 \( \mathrm{sec}=30.4 \mathrm{m} \) | 3 | Physics |
In the figure below, the diagonal \( \boldsymbol{A C} \) of
quadrilateral \( A B C D \) bisects \( \angle B A D \)
and \( \angle B C D . \) Then \( B C=m D C \).Find \( m \) | 2 | Maths |
If there is a fault in the function of the
'Bowman's capsule, what will happen? | 0 | Biology |
Explain how an unpolarised light gets polarised when incident on the interface separating the two transparent media. | 3 | Physics |
Calamine solution is applied on the skin when an ant bites. Explain why? | 1 | Chemistry |
f \( \boldsymbol{x}=\mathbf{1} ; \boldsymbol{y}=\mathbf{2} \) find the values:
\( \boldsymbol{x}^{2}+\boldsymbol{y}^{2} \) | 2 | Maths |
stage of cell division occurs after
\( G_{2} \) phase
A. Prophase
B. Metaphase
c. Anaphase
D. Diakinesis | 0 | Biology |
An air bubble is inside water. The
refractive index of water is \( 4 / 3 . \) At what distance from the air bubble should a
point object be placed so as to form a
real image at the same distance from the bubble?
A \( .2 . R \)
в. \( 3 R \)
\( c .4 R \)
D. The air bubble cannot image | 3 | Physics |
The following data gives the distribution of total monthly household
expenditure of 200 families of a village. Find the modal monthly expenditure of
the families. Also, find the mean
monthly expenditure:
Expenditure (in C) \( \quad \) Number of families 4 \( 1000-1500 \) 24 The line 1 1 \( 1500-2000 \) 40
33 \( 2000-2500 \) A 3 \( \begin{array}{lll}2500-3000 & 28 \\ 3000-3500 & 30 \\ 3500-4000 & 22 \\ 4000-4500 & 16 \\ 4500-5000 & 7\end{array} \) | 2 | Maths |
Which of the following statements is
incorrect?
A. Transition elements exhibit higher enthalpies of atomization as they have stronger interatomic interaction
B. Second ionisation energy of \( _{23} V<_{24} C r>_{25} M n \) and
\( _{28} N i<_{29} C u>_{30} Z n \)
C \( . N i(I I) \) compounds are more stable than \( P t(I I) \) whereas \( P t(I V) \) compounds are more stable than nickel \( (I V) \)
D. The elements which give the greatest number of oxidation states do not occur in or near the middle of the series | 1 | Chemistry |
Write chemical equations for metallurgical processes to represent roasting of Galena \( (\boldsymbol{P b S}) \)
A. \( 2 P b S+3 O_{2} \rightarrow P b_{2} O_{2}+2 S O_{2} \)
в. \( P b S+2 O_{2} \rightarrow P b O+S O_{3} \)
\( \mathrm{c} \cdot 2 P b S+3 O_{2} \rightarrow 2 P b O+2 S O_{2} \)
D. None of these | 1 | Chemistry |
A circus tent is cylindrical to a height of \( 4 \mathrm{m} \) and conical above it If its diameter
is \( 105 \mathrm{m} \) and the slant height of the cone is \( 80 \mathrm{m} \) then the total surface area of the canvas required is
A. \( 15540 m^{2} \)
В. \( 30880 m^{2} \)
c. \( 46020 m^{2} \)
D. \( 14520 m^{2} \) | 2 | Maths |
An ideal gas having initial pressures \( \boldsymbol{P} \)
volume \( V \) and temperature \( R \) is allowed
to expand adiabatically until its volume
becomes \( 5.66 V \) while its temperature falls to \( \boldsymbol{T} / \mathbf{2} \)
Obtain the work done by the gas during the expansion as a function of initial pressure \( \boldsymbol{P} \) and volume \( \boldsymbol{V} \) | 3 | Physics |
The principle of independent
assortment means
A. Separation of characters of one parent
B. Non-Separation of characters of one parent
C. Separation of characters of both parents together
D. Combination of both parental characters | 0 | Biology |
A soap film of thickness \( t \) is surrounded
by air and is illuminated at near normal
incidence by monochromatic light with wavelength \( \lambda \) in the film. With respect
to the wavelength of the monochromatic light in the film, what film thickness will produce maximum constructive interference?
A \( \cdot \frac{1}{4} \lambda \)
B. \( \frac{1}{2} \lambda \)
c. \( 1 \lambda \)
D. \( 2 \lambda \) | 3 | Physics |
If the sum of first 8 and 19 terms of an
A.P. are 64 and 361 respectively, find the common difference. | 2 | Maths |
\( \frac{1}{1-\cos \theta+2 i \sin \theta}=\frac{1-2 i \cot (\theta / 2)}{5+3 \cos \theta} \)
f this is true enter 1 , else enter 0 | 2 | Maths |
f \( 2 s=a+b+c, \) prove that \( \left|\begin{array}{ccc}a^{2} & (s-a)^{2} & (s-a)^{2} \\ (s-b)^{2} & b^{2} & (s-b)^{2} \\ (s-c)^{2} & (s-c)^{2} & c^{2}\end{array}\right| \)
\( =2 s^{3}(s-a)(s-b)(s-c) \) | 2 | Maths |
Two elastic bodies \( P \) and \( Q \) having equal masses are moving along the same line with velocities of \( 16 \mathrm{m} / \mathrm{s} \) and \( 10 \mathrm{m} / \mathrm{s} \)
respectively. Their velocities after the elastic collision will be in \( \mathrm{m} / \mathrm{s} \)
A. 0 and 25
B. 5 and 20
c. 10 and 16
D. 20 and 5 | 3 | Physics |
Represent the following families of curves by forming the corresponding differential equation.(a, b being parameters). \( x^{2}-y^{2}=a^{2} \) | 2 | Maths |
Cells are connected in series in order to:
A. increase the voltage rating
B. increase the electric current rating.
c. increase the life of cells.
D. none of above. | 1 | Chemistry |
The hydrolysis constant Kh of a salt of NaOH anda weak acid (HX) if the Ka of
the acid is \( 2 \times 10^{-6} \) is:
A \( .5 \times 10^{-8} \)
B . \( 5 \times 10^{-6} \)
c. \( 5 \times 10^{-9} \)
D. \( 5 \times 10^{-7} \) | 1 | Chemistry |
An unknown transistor needs to be
identified as a \( n p n \) or \( p n p \) type.
multimeter, with \( + \)ve and -ve
terminals, is used to measure resistance between different terminals
of transistor. If terminal 2 is the base of
the transistor then which of the
following is correct for a \( p n p \) transistor?
A. \( + \)ve terminal
\( 1,-v e \) terminal
2 , resistance high
\( 2,-v e \) terminal
B. \( + \)ve terminal
\( 3, \) resistance low
c. \( + \)ve terminal
\( 3,-v e \) terminal
2 , resistance high
D. \( + \)ve terminal \( 2, \) -ve terminal \( 1, \) resistance high | 3 | Physics |
A block of mass 1 gm executes an
oscillatory motion (sliding) on a
concave surface of radius of curvature
2m. If the particle starts its motion from
a point at a height of I cm from the
horizontal and the coefficient of friction
is \( 0.01, \) then the total distance covered
by the particle before it comes to rest,
will be (approx)
A. \( 5.001 \mathrm{m} \)
B. 0,015 m
\( c \cdot 1.005 \mathrm{m} \)
D. none of these | 3 | Physics |
At a certain point in a pipeline the
velocity is \( 1 m / s \) and gauge pressure is
\( \mathbf{3} \times \mathbf{1 0}^{\mathbf{5}} \quad \boldsymbol{N} / \boldsymbol{m}^{2} . \) Find the gauge
pressure at a second point in the line \( 20 m \) lower than the first, if the cross-
section at the second point is half that at the first. The liquid in the pipe is
water | 3 | Physics |
Solve the following:
n \( \Delta M N P, \angle M N P= \)
\( 90^{\circ}, \operatorname{seg} N Q \perp \operatorname{seg} M P . \) If \( M Q= \)
\( \mathbf{9}, \boldsymbol{Q} \boldsymbol{P}=\mathbf{4}, \) then find \( \boldsymbol{N} \boldsymbol{Q} \) | 2 | Maths |
Examine the table.
(Each figure is divided into triangles
and the sum of the angles deduced from that.)
What can you say about the angle sum of a convex polygon with number of sides?
(a) \( 7(b) 8 \)
\( (c) 10(d) n \) | 2 | Maths |
Assertion
Slime moulds show alternation of
generation.
Reason
The sporangia bearing slime moulds
represent haplophase.
A. Both the assertion and the reason are true and the
reason is a correct explanation of the assertion
B. Both the assertion and reason are true but the reason
is not a correct explanation of the assertion
C. The assertion is true but the reason is false
D. Both the assertion and reason are false | 0 | Biology |
The value of the expression \( ^{47} C_{4}+ \) \( \sum_{j=1}^{5} 52-j C_{3} \) is
\( \mathbf{A} .^{51} C_{4} \)
B. \( ^{52} C_{4} \)
c. \( ^{52} C_{3} \)
D. \( ^{53} C_{4} \) | 2 | Maths |
f \( \boldsymbol{y}=\log \sin \boldsymbol{x}+\boldsymbol{e}^{\boldsymbol{x}} \tan \boldsymbol{x}, \) then find \( \frac{\boldsymbol{d} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}} \) | 2 | Maths |
Assuming \( z- \) axis inter nuclear axis, in
which of the following orbitals overlap to
form \( \sigma \) bond.
\( \boldsymbol{p}_{\boldsymbol{z}}+\boldsymbol{p}_{\boldsymbol{x}} \) | 1 | Chemistry |
Assuming that the behavior of ammonia is correctly described by the van der Waal's equation near the critical point, and knowing the critical
molar volume of \( 0.72500 \mathrm{mol} L^{-1} \) and
critical temperature of \( 405.3 \mathrm{K} \) determine the critical pressure of
ammonia.
\( A \cdot 109.8 \) atm
B. 141.3 atm
c. 152.6 atm
D. 17.20 atm | 1 | Chemistry |
The Newland's law of octaves for the
classification of elements was found to
be applicable only up to the element
A. potassium
B. calcium
c. cobalt
D. phosphorous | 1 | Chemistry |
The specific charge for cathode rays is
A. Constant
B. Variable
c. Depend upon the material of the cathode
D. Depend upon the nature of the gas in the discharge tube | 3 | Physics |
A ball is dropped from a bridge \( 122.5 \mathrm{m} \) above a river. After 2 s, a second ball is
thrown down after it. What must its
initial velocity be so that both hit the water at the same time?
A. \( 49 \mathrm{m} / \mathrm{s} \)
B. \( 55.5 \mathrm{m} / \mathrm{s} \)
c. \( 26.1 \mathrm{m} / \mathrm{s} \)
D. \( 9.8 \mathrm{m} / \mathrm{s} \) | 3 | Physics |
The slope of voltage (V) versus current
(I) is called
A. resistance
B. conductance
C . resistivity
D. conductivity | 3 | Physics |
Minimum value of the polynomial \( \boldsymbol{p}(\boldsymbol{x})=\mathbf{4} \boldsymbol{x}^{2}-\boldsymbol{6} \boldsymbol{x}+\mathbf{1} \)
A. \( -\frac{3}{4} \)
B. \( -\frac{5}{4} \)
\( c \cdot-\frac{5}{16} \)
D. - œ | 2 | Maths |
\( A \) is :
\( A \)
B.
\( c \)
\( D \) | 1 | Chemistry |
The value of
\( \lim _{|x| \rightarrow \infty} \cos \left(\tan ^{-1}\left(\sin \left(\tan ^{-1} x\right)\right)\right) \) is
equal to
A . -1
B. \( \sqrt{2} \)
c. \( -\frac{1}{\sqrt{2}} \)
D. \( \frac{1}{\sqrt{2}} \) | 2 | Maths |
Heart lacks sinus venosus in
A. Fishes
B. Mammals
c. Amphibians
D. Echinoderms | 0 | Biology |
Evaluate the magnitude and direction
of magnetic field at point \( \boldsymbol{O} \)
A \( \cdot \frac{3 \mu_{0} i}{8 a}, \) с
в. \( \frac{\mu_{0} i}{2 \sqrt{2} b}, \) с
с. \( \frac{3 \mu_{0} i}{8 a}+\frac{\mu_{0} i}{2 \sqrt{2} b}, \) с
D. \( \frac{3 \mu_{0} i}{8 a}+\frac{\mu_{0} i}{2 \sqrt{2} b}, \otimes \) | 3 | Physics |
Are the following name correct according to IUPAC system of nomenclature? If not, give the correct
names.
Hexa-1,6-diene | 1 | Chemistry |
If \( \left(a_{1}+i b_{1}\right)\left(a_{2}+i b_{2}\right) \dots\left(a_{n}+i b_{n}\right)= \)
\( A+i B \) then \( \left(a_{1}^{2}+b_{1}^{2}\right)\left(a_{2}^{2}+b_{2}^{2}\right) \dots\left(a_{n}^{2}+\right. \)
\( \left.b_{n}^{2}\right)= \)
A. \( A^{2}-B^{2} \)
B. \( A^{2}+B^{2} \)
c. \( A-B \)
D. \( A+B \) | 2 | Maths |
A monovalent cation which has atomic
number \( 11, \) makes a compound with a
monovalent anion whose atomic
number is 17. The popular name of the compound is:
A. plaster of paris
B. chilli salt peter
c. common salt
D. TNT | 1 | Chemistry |
Oxidation state of oxygen in \( C r O_{5} \) is
A . -
B. - -
\( c . \) Both (1) \& (2)
D. \( -\frac{1}{2} \) | 1 | Chemistry |
\( \sum_{m=1}^{n} \tan ^{-1}\left(\frac{2 m}{m^{4}+m^{2}+2}\right) \) is equal
to
A \( \cdot \tan ^{-1}\left(n^{2}+n+1\right)-\frac{\pi}{4} \)
B \cdot \( \tan ^{-1}\left(n^{2}+n+1\right)+\frac{\pi}{4} \)
c. \( \tan ^{-1}\left(n^{2}+n-1\right)-\frac{\pi}{4} \)
D \( \cdot \tan ^{-1}\left(n^{2}-n-1\right)-\frac{\pi}{4} \) | 2 | Maths |
Write the converse and contrapositive of
the statement
"If two traingles are congruent, then their areas are equal." | 2 | Maths |
Why are protozoa called early animals? | 0 | Biology |
Which of the following statement is
correct?
A. Vitreous fluid helps to maintain the shape of the retina
B. Crystalline eye lens helps in focusing the image
C. Aqueous humour helps to maintain the pressure in the
eye
D. All of the above | 3 | Physics |
Generally non-metals are non-lustrous.
Exception to this property is-
A. Flourine
B. Chlorine
c. Bromine
D. lodine | 1 | Chemistry |
If \( y=\cos ^{3} x, \) then \( \frac{d y}{d x}= \) | 2 | Maths |
Given two independent events \( A \) and \( B \) such that \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0 . 3}, \boldsymbol{P}(\boldsymbol{B})=\mathbf{0 . 6} \)
Find
(i) \( P(A \text { and not } B) \)
(ii) P(neither A nor
B) | 2 | Maths |
The oxoacid of sulphur that does not contain bond between sulphur atoms is:
A \( \cdot H_{2} S_{4} O_{6} \)
в. \( H_{2} S_{2} O_{7} \)
c. \( H_{2} S_{2} O_{3} \)
D. \( H_{2} S_{2} O_{4} \) | 1 | Chemistry |
An oxide of a metal (M) contains \( 40 \% \) by mass of oxygen. Metal (M) has atomic
mass of 24.The empirical formula of the oxide is :
A. \( M_{2} O \)
в. \( M O \)
c. \( M_{2} O_{3} \)
D. \( M_{3} O_{4} \) | 1 | Chemistry |
The fact that lightning and spark are essentially the same phenomena, was discovered in:
A . 1882
B. 1752
c. 177
D. 1802 | 3 | Physics |
Find the derivative of \( \frac{\tan ^{-1} x}{1+\tan ^{-1} x} \) w.r.t.
\( \tan ^{-1} x \)
A \( \cdot \frac{1}{\sec ^{-1} x} \)
в. \( \frac{1}{\left(\tan ^{-1} x\right)^{2}} \)
c. \( \frac{1}{1+\tan ^{2} x} \)
D. \( \frac{1}{\left(1+\tan ^{-1} x\right)^{2}} \) | 2 | Maths |
n right triangle \( A B C \), right-angled at
\( C, M \) is the mid-point of hypotenuse
\( A B . C \) is joined to \( M \) and produced to a
point \( D \) such that \( D M=C M . \) Point \( D \)
is joined to point \( B \).Which of the
following is correct.
This question has multiple correct options
A. \( \Delta \mathrm{AMC} \cong \Delta \mathrm{BMD} \)
B. \( \angle D B C \) is a right angle.
c. \( \Delta D B C \equiv \Delta A B C \)
D. \( \mathrm{CM}=\frac{1}{2} \mathrm{AB} \) | 2 | Maths |
The dimensions of a rectangle ABCD are
\( 51 \mathrm{cm} 25 \mathrm{cm} . \) A trapezium \( P Q C D \) with
its parallel sides \( \mathrm{QC} \) and \( \mathrm{PD} \) in the ratio
\( 9: 8, \) is cut off from the rectangle as
shown in the figure. If the area of the
trapezium PQCD is \( \frac{5}{6} \) th part of the area of the rectangle, find the length \( Q C \) | 2 | Maths |
Define the atomic mass unit.
A. Mass unit equal to exactly one-twelfth the mass of a carbon-12 atom
B. Mass unit equal to exactly the mass of a carbon-12 atom
C. Mass unit equal to exactly one-twelfth the mass of a hydrogen atom
D. All of the above | 1 | Chemistry |
Rewrite the following equation in terms
of \( \boldsymbol{a} \)
\( s=u t+\frac{1}{2} a t^{2} \) | 3 | Physics |
The ellipse cuts \( x \) axis at \( A \) and \( y \) axis at \( \mathrm{B} \) and the line joining the focus \( \mathrm{S} \) and B makes an angle \( \frac{3 \pi}{4} \) with \( x \) -axis, then the eccentricity of the ellipse is:
A \( \cdot \frac{1}{\sqrt{2}} \)
B. \( \frac{1}{2} \)
c. \( \frac{\sqrt{3}}{2} \)
D. \( \frac{1}{3} \) | 2 | Maths |
is liberated when acetic
acid reacts with sodium metal.
A. Hydrogen
B. Chloride
c. oxygen
D. Nitrogen | 1 | Chemistry |
Q Type your question
uniformly distributed over its circumference is hanging by an
insulated thread with the help of a
small smooth ring (not rigidly fixed with bigger ring). A time varying
magnetic field \( B=B_{0} \sin \omega t \) is
switched on at \( t=0 \) and the ring is
released at the same time. The induced
EMF in loop at time \( t=2 \pi / \omega \) is:
A . 0
в. \( \frac{B_{0} \pi \omega R^{2}}{2} \)
\( \mathbf{c} \cdot B_{0} \pi \omega R^{2} \)
D. \( -\frac{B_{0} \pi \omega R^{2}}{2} \) | 3 | Physics |
Define the focal length of a spherical mirror. A concave mirror produces 3 times a real image of an object placed
at a distance of \( 10 \mathrm{cm} \) in front of it. Find
the radius of curvature of the mirror. | 3 | Physics |
Energy currency/coin of cell is
A . ATP
B. NAD
c. ADP
D. GDP | 0 | Biology |
If \( x \) is real, then \( \frac{x^{2}+2 x+c}{x^{2}+4 x+3 c} \) can take all real values if?
A. \( 0<c<2 \)
В. \( 0<c<1 \)
c. \( -1<c<1 \)
D. None of the above | 2 | Maths |
Explain the bonding on \( C o C l_{2} .3 N H_{3} \)
and \( \operatorname{CoCl}_{2} \cdot 5 N H_{3} \) structure on the
basis at Werner's theory. | 1 | Chemistry |
The critical checkpoints that control the
cell cycle are at the
\( \mathbf{A} \cdot G_{1} \) to \( \mathrm{S} \) stage and \( G_{2} \) to \( \mathrm{M} \) stage
B. \( \mathrm{S} \) to \( G_{2} \) stage and \( G_{2} \) to M stage
\( \mathbf{C} \cdot \mathbf{M} \) to \( G_{1} \) stage and \( G_{2} \) to \( \mathbf{M} \) stage
D. M to \( G_{1} \) stage and \( \mathrm{S} \) to \( G_{2} \) stage | 0 | Biology |
The shape of \( X e O_{2} F_{2} \) molecule is:
A. trigonal bipyramidal
B. square planar
c. tetrahedral
D. see-saw | 1 | Chemistry |
A black body calorimeter filled with hot
water cools from \( 60^{\circ} \mathrm{C} \) to \( 50^{\circ} \mathrm{C} \) in 4 min
and \( 40^{\circ} \mathrm{C} \) to \( 30^{\circ} \mathrm{C} \) in 8 min. The
approximate temperature of surrounding is :
A \( \cdot 10^{\circ} \mathrm{C} \)
В. \( 15^{\circ} \mathrm{C} \)
\( \mathbf{c} \cdot 20^{\circ} C \)
D. \( 25^{\circ} \mathrm{C} \) | 3 | Physics |
Find the equation of the ellipse whose
vertices are \( (\pm \mathbf{2}, \mathbf{0}) \) and foci are
(±1,0) | 2 | Maths |
Two waves \( \boldsymbol{y}_{1}=\boldsymbol{A} \sin [\boldsymbol{k}(\boldsymbol{x}-\boldsymbol{c} \boldsymbol{t})] \) and
\( \boldsymbol{y}_{2}=\boldsymbol{A} \sin [\boldsymbol{k}(\boldsymbol{x}+\boldsymbol{c} \boldsymbol{t})] \) are superimposed
on a string. The distance between adjacent nodes is | 3 | Physics |
Which of the following reactions will
yield 2,2 -dibromopropane?
A. \( C H_{3}-C \equiv C H+2 \mathrm{HBr} \rightarrow \)
B. \( C H_{3} C H=C H B r+\mathrm{HBr} \rightarrow \)
c. \( C H \equiv C H+2 \mathrm{HBr} \rightarrow \)
D. \( C H_{3}-C H=C H_{2}+ \) HBr \( \longrightarrow \) | 1 | Chemistry |
The line segment joining the points \( (-3, \)
-4 ) and (1,-2) is divided by the \( y \) -axis in the ratio
\( A \cdot 1: 3 \)
B. 3:1
\( c \cdot 2: 3 \)
D. 3:2 | 2 | Maths |
An unhappy mouse of mass \( m_{0}, \) moving on the end of a spring of spring constant p is acted upon by a damping force
\( F_{x}=-b v_{x} . \) For what value of \( b \) the
motion is critically damped?
A \( \cdot b=\sqrt{\frac{p}{m_{0}}} \)
B. \( b=2 \sqrt{p m_{0}} \)
\( ^{\mathrm{c}}_{b}=\sqrt{\frac{p^{2}}{2 m_{0}}} \)
D. \( b=\sqrt{\frac{p}{2 m_{0}}} \) | 3 | Physics |
The \( \% \) loss in mass after heating a pure sample of potassium chlorate (Mol. mass \( =122.5 \) ) will be:
A . 12.25
B. 24.50
c. 39.17
D. 49.0 | 1 | Chemistry |
If the Neanderthals are not the direct
ancestors of humans, is it still possible for humans and Neanderthals to be
related?
A. Yes, because we share a common ancestor
B. Yes, but only if humans and Neanderthals could have interbred
c. No, because the human evolutionary tree is strictly linear and without branches
D. No, because this means that Neanderthals evolved from an entirely different branch of organisms than humans did | 0 | Biology |
Factorise :
\( (2 a+b)^{3}-(a+3 b)^{3} \)
A \( \cdot(a+b)\left(7 a^{2}+13 a b+13 b^{2}\right) \)
B . \( (a-2 b)\left(7 a^{2}+17 a b+13 b^{2}\right) \)
C \( \cdot(a-b)\left(7 a^{2}+13 a b+17 b^{2}\right) \)
D. \( (2 a-b)\left(7 a^{2}+17 a b+17 b^{2}\right) \) | 2 | Maths |
Show that the Modulus Function \( \boldsymbol{f} \) \( \boldsymbol{R} \rightarrow \boldsymbol{R}, \) given by \( \boldsymbol{f}(\boldsymbol{x})=|\boldsymbol{x}|, \) is neither
one-one nor onto, where \( |x| \) is \( x, \) if \( x \) is
positive or 0 and \( |x| \) is \( -x, \) if \( x \) is
negative. | 2 | Maths |
The effective nuclear charge for the outermost electron of oxygen atom is
A . 4.55
B. 5.35
\( c \cdot 6.68 \)
D. None of these | 1 | Chemistry |
In the expansion of \( \left(x^{3}-\frac{1}{x^{2}}\right)^{2}, \) where n is a positive integer, the sum of the
coefficients of \( \boldsymbol{x}^{\boldsymbol{6}} \) is \( \mathbf{1} \) | 2 | Maths |
Write the IUPAC name of the complex
\( \left[\boldsymbol{A} \boldsymbol{g}\left(\boldsymbol{N} \boldsymbol{H}_{3}\right)_{2}\right]\left[\boldsymbol{A} \boldsymbol{g}(\boldsymbol{C} \boldsymbol{N})_{2}\right] \) | 1 | Chemistry |
f \( \boldsymbol{f}(\boldsymbol{x})=\sin \boldsymbol{x} \forall \boldsymbol{x} \in[\mathbf{0}, \boldsymbol{x} / 2], \boldsymbol{f}(\boldsymbol{x})+ \)
\( \boldsymbol{f}(\boldsymbol{\pi}-\boldsymbol{x})=\boldsymbol{2} \forall \boldsymbol{x} \in[\boldsymbol{x} / 2, \boldsymbol{\pi}] \) and
\( \boldsymbol{f}(\boldsymbol{x})=\boldsymbol{f}(\boldsymbol{2} \boldsymbol{\pi}-\boldsymbol{x}) \forall \boldsymbol{x} \in[\boldsymbol{\pi}, \boldsymbol{2} \boldsymbol{\pi}] \) then
find the area bounded by \( y=f(x) \) and
the \( x- \) axis. | 2 | Maths |
A rectangle ABCD is inscribed in a circle
with centre 0. If AC is the diagonal and
\( \angle B A C=30^{\circ}, \) then radius of the circle
will be equal to
A \( \cdot \frac{\sqrt{3}}{2} B C \)
B. BC
\( c \cdot \sqrt{3} B C \)
D. 2BC | 2 | Maths |
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