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A body falling freely towards the earth
has
A. uniform speed
B. uniform velocity
c. uniform acceleration
D. none of these | 3 | Physics |
Incident ray is the ray of light striking a surface.
A . True
B. False | 3 | Physics |
Two liquids of densities \( d_{1} \) and \( d_{2} \) are
flowing in identical capillaries under
same pressure difference. If \( t_{1} \) and \( t_{2} \)
are the time taken for the flow of equal quantities of liquids, then the ratio of coefficients of viscosities of liquids
must be
\( \mathbf{A} \cdot \frac{d_{1} d_{2}}{t_{1} t_{2}} \)
B. \( \frac{d_{1} t_{1}}{d_{2} t_{2}} \)
\( \mathbf{c} \cdot \frac{d_{1} t_{2}}{d_{2} t_{1}} \)
D \( \sqrt{\left(\frac{d_{1} t_{1}}{d_{2} t_{2}}\right)} \) | 3 | Physics |
f \( x=2+5 i(\text { where } 1 i=\sqrt{-1}) \) and
\( 2\left(\frac{1}{1 ! 9 !}+\frac{1}{3 ! 7 !}\right)+\frac{1}{5 ! 5 !}=\frac{2^{a}}{b !} \operatorname{then} x^{3}- \)
\( 5 x^{2}+33 x-10= \)
\( \mathbf{A} \cdot a+b \)
в. \( b-a \)
\( \mathbf{c} \cdot a-b \)
D. \( -a-b \)
E \( .(a-b)(a+b) \) | 2 | Maths |
Find the approximate change in the
surface area of a cube of side \( x \) metres
caused by decreasing the side by 1
percent | 2 | Maths |
Define density and relative density. | 3 | Physics |
\( \boldsymbol{A}(\boldsymbol{3}, \boldsymbol{2}, \boldsymbol{0}), \boldsymbol{B}(\boldsymbol{5}, \boldsymbol{3}, \boldsymbol{2}), \boldsymbol{C}(-\boldsymbol{9}, \boldsymbol{6},-\boldsymbol{3}) \) are
three points forming a triangle. If \( \boldsymbol{A} \boldsymbol{D} \)
the bisector of \( \angle B A C \) meets \( B C \) in \( D \)
then coordinates of \( D \) are
\( ^{\mathrm{A}} \cdot\left(-\frac{19}{8}, \frac{57}{16}, \frac{17}{16}\right) \)
В \( \cdot\left(\frac{19}{8},-\frac{57}{16}, \frac{17}{16}\right) \)
\( ^{\mathrm{C}} \cdot\left(\frac{19}{8}, \frac{57}{16}, \frac{17}{16}\right) \)
D. None of these | 2 | Maths |
Light Year is equivalent to how much
metre?
A \( \cdot 9.5 \times 10^{15} \)
B. \( 950 \times 10^{15} \)
c. \( 9.5 \times 10^{19} \)
D. \( 905 \times 10^{15} \) | 3 | Physics |
A tuning fork of frequency \( 480 \mathrm{Hz} \) produces 10 beats/s when sounded with
a vibrating sonometer string. What must have been the frequency of the string if a slight increase in tension produces fewer beats per second than
before?
A. 460 Н
в. 480 н \( z \)
c. 490 н \( z \)
D. 470 нz | 3 | Physics |
\( \lim _{x \rightarrow \infty} \int_{0}^{x / 2} \frac{t^{2}}{x^{2}\left(1+t^{2}\right)} d t \) is equal to
A \( \cdot \frac{1}{4} \)
B.
c. 1
D. None of these | 2 | Maths |
If \( \vec{a}=\hat{i}+\hat{j}+2 \hat{k} \) and \( \vec{b}=3 \hat{i}+2 \hat{j}-\hat{k} \)
find the value of \( (\vec{a}+3 \vec{b}) \cdot(2 \vec{a}-\vec{b}) \) | 2 | Maths |
Nature of shear stress is
A. Positive
B. Negative
C. Positive as well as negative
D. Is always less than 0.5 | 3 | Physics |
One of the constituents of the
pancreatic juice, which is released into the duodenum of a man is
A. Trypsin
B. Chymotrypsin
c. Trypsinogen
D. Both B and C | 0 | Biology |
If \( \epsilon_{0} \) and \( \mu_{0} \) are, respectively, the electric
permittivity and magnetic permeability of free space, \( \epsilon \) and \( \mu \) are the corresponding quantities in a medium, the index of refraction of the medium in
terms of the above parameters is
A \( \cdot \sqrt{\frac{\mu \epsilon}{\mu_{0} \epsilon_{0}}} \)
в. \( \sqrt{\frac{\epsilon}{\mu_{0} \epsilon_{0}}} \)
c. \( \sqrt{\frac{2}{\mu_{0} \epsilon_{0}}} \)
D. \( \sqrt{\frac{1}{\mu_{0} \epsilon_{0}}} \) | 3 | Physics |
The correct order regarding the
electronegativity of hybrid orbitals of
carbon is :
\( \mathbf{A} \cdot s p<s p^{2}>s p^{3} \)
В. \( s p<s p^{2}<s p^{3} \)
c. \( s p>s p^{2}<s p^{3} \)
D. \( s p>s p^{2}>s p^{3} \) | 1 | Chemistry |
\( A X_{4} \) forms square planar type
structure. Distance between A and X
atoms is 4 units, then distance between
two \( X \) atoms in trans position is: | 1 | Chemistry |
The force exerted by a charged body on another charged or uncharged body is known as force.
A. magnetic
B. electrostatic
c. gravitational
D. friction | 3 | Physics |
\( x^{\prime \prime} \)
for for
for 3 to at? | 1 | Chemistry |
What is a calorific value of a fuel 2 .
Write any four characteristics of an
idea fuel? | 3 | Physics |
Define the Iymph. | 0 | Biology |
Pyruvic acid \( +C o A+N A D^{+} \frac{M g^{2+}}{X} \rightarrow \)
\( \boldsymbol{Y}+\boldsymbol{C O}_{2}+\boldsymbol{N} \boldsymbol{A} \boldsymbol{D} \boldsymbol{H}+\boldsymbol{H}^{+} \)
In the following reaction, identify \( X \) and Y respectively:
A. Water, Acetyl CoA
B. Acetyl CoA, Pyruvate dehydrogenase
c. Pyruvate dehydrogenase, Acetyl CoA
D. Pyruvate dehydrogenase, Oxalo-acetic acid | 0 | Biology |
If \( a_{r}>0 ; \forall r, n \in N \) and
\( a_{1}, a_{2}, a_{3}, \dots . a_{2 n} \) are in A.P, then \( \frac{\boldsymbol{a}_{\mathbf{1}}+\boldsymbol{a}_{\mathbf{2} n}}{\sqrt{\boldsymbol{a}_{1}}+\sqrt{\boldsymbol{a}_{2}}}+\frac{\boldsymbol{a}_{\mathbf{2}}+\boldsymbol{a}_{\mathbf{2} n-1}}{\sqrt{\boldsymbol{a}_{2}}+\sqrt{\boldsymbol{a}_{3}}}+ \)
\( \frac{\boldsymbol{a}_{\boldsymbol{3}}+\boldsymbol{a}_{\boldsymbol{2} \boldsymbol{n}-\boldsymbol{2}}}{\sqrt{\boldsymbol{a}_{\boldsymbol{3}}}+\sqrt{\boldsymbol{a}_{\boldsymbol{4}}}}+\ldots+\frac{\boldsymbol{a}_{\boldsymbol{n}}+\boldsymbol{a}_{\boldsymbol{n}+1}}{\sqrt{\boldsymbol{a}_{\boldsymbol{n}}}+\sqrt{\boldsymbol{a}_{\boldsymbol{n}+1}}}= \)
\( \mathbf{A} \cdot n-1 \)
в. \( \frac{n\left(a_{1}+a_{2 n}\right)}{\sqrt{a_{1}}+\sqrt{a_{n+1}}} \)
c. \( \frac{n-1}{\sqrt{a_{1}}+\sqrt{a_{n+1}}} \)
D. \( n+1 \) | 2 | Maths |
To find the vector and the Cartesian
equation in symmetric form of line passing through the points, (2,0,-3) and \( (\mathbf{7}, \mathbf{3},-\mathbf{1 0}) \) | 2 | Maths |
Calculate the neutron separation energy from the following data. \( \boldsymbol{m}\left(_{20}^{40} \boldsymbol{C a}\right)=\mathbf{3 9 . 9 6 2 5 9 1} \boldsymbol{u} \)
\( \boldsymbol{m}\left(_{20}^{41} \boldsymbol{C a}\right)=\mathbf{4 0 . 9 6 2 2 7 8} \boldsymbol{u} \)
\( \boldsymbol{m}_{n}=\mathbf{1 . 0 0 8 6 5} \)
\( \mathbf{1} \boldsymbol{u}=\mathbf{9 3 1 . 5} \boldsymbol{M} e \boldsymbol{V} / \boldsymbol{C}^{2} \)
\( \mathbf{A} \cdot 7.57 M e V \)
В. \( 8.36 \mathrm{MeV} \)
c. 9.12 MeV
D. 9.56 MeV | 3 | Physics |
One of the following named reaction is an example of disproportionation reaction. Identify it
A. Birch reduction
B. Aldol condensation
c. Reimer-Tiemann reaction
D. Cannizaro reaction | 1 | Chemistry |
Calculate the \( \% \) s-character in the lone
pair electron of \( N H_{3}, \) where the
percentage s-character of bond pair is \( 22 \% \) in each \( N-H \) bond
A . \( 60 \% \)
B. 25\%
c. \( 44 \% \)
D. \( 34 \% \) | 1 | Chemistry |
If \( A \) is non-singular matrix such that
\( (A-2 I)(A-4 I)=0 \) then \( A+ \)
\( \mathbf{8 A}^{-1}= \)
\( A \)
B.
c. \( 3 I \)
D. \( 6 I \) | 2 | Maths |
Neutron is 1842 times heavier than :
A. proton
B. electron
c. both A and B
D. photon | 1 | Chemistry |
Helium is the lightest gas.
A. True
B. False | 1 | Chemistry |
Find the value of \( \frac{d y}{d x} \quad \) a \( \theta=\frac{n}{4}, \) if \( x= \)
\( \boldsymbol{a} e^{\theta}(\sin \theta-\cos \theta) \) and \( y=a e^{\theta}(\sin \theta- \)
\( \cos \theta) \) | 2 | Maths |
Assertion
f \( n>1 \) then Statement - 1 :
\( \int_{0}^{\infty} \frac{\boldsymbol{d} \boldsymbol{x}}{\mathbf{1}+\boldsymbol{x}^{n}}=\int_{0}^{1} \frac{\boldsymbol{d} \boldsymbol{x}}{\left(\mathbf{1}-\boldsymbol{x}^{n}\right)^{1 / n}} \)
Reason
Statement
-2: \( \int_{a}^{b} f(x) d x=\int_{a}^{b} f(a+ \)
\( \boldsymbol{b}-\boldsymbol{x}) d \boldsymbol{x} \)
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 | 2 | Maths |
The current in resistance \( \mathrm{R} \) at
resonance in ac circuit is
A . zero
B. minimum but finite
c. maximum but finite
D. infinite | 3 | Physics |
Chloroplast dimorphism is a characteristic feature of
A. Plants with Calvin cycle
B. \( C_{4} \) plants
c. All plants
D. only in algae | 0 | Biology |
Two thin uniform rods \( \boldsymbol{A}(\boldsymbol{M}, \boldsymbol{L}) \) and
\( B(3 M, 3 L) \) are joined as shown. Find
the \( M I \) about an axis passing through
the centre of mass of system of rods and perpendicular to the length. | 3 | Physics |
If \( x=\frac{4}{3} \) is a zeroes of the polynomial
\( p(x)=6 x^{3}-11 x^{2}+k x-20, \) find the
value of \( k \) | 2 | Maths |
A device that converts energy of
combustion of fuels like hydrogen and methane, directly into electrical energy
is known as:
A. dynamo
B. Ni-Cd cell
c. fuel cell
D. electrolytic cell | 1 | Chemistry |
A double convex lens of focal length \( 30 c m \) is made of glass of R.I. \( 1.6 . \) When it is immersed in a liquid, the focal length is found to be \( 90 \mathrm{cm} \).The R.I. of the liquid is
A . 1.33
в. 1.5
c. 1.4
D. 1.42 | 3 | Physics |
Which portion of the heating curve for
water shown above would there be both
liquid and solid water present?
\( A \cdot A-B \)
3. \( B-C \)
\( c \cdot C-D \)
D. \( D-E \) | 1 | Chemistry |
Which of the following statements is
not true about sucrose?
A. On hydrolysis, it produces glucose and fructose.
B. The glycosidic linkage is present between \( C_{1} \) of \( \alpha \) glucose and \( C_{1} \) of \( \beta \) - fructose.
C. It is also named as invert sugar.
D. It is a non reducing sugar. | 1 | Chemistry |
Conduction of nerve impulse is
A. Faster in non-myelinated fibres
B. Faster in myelinated fibres
C. No difference in the rate of conduction in myelinated and non-myelinated fibres.
D. None of the above | 0 | Biology |
\( A B C D \) is a trapezium in which \( A B \) is
parallel to \( D C \). If the diagonals
intersect at \( O \), then which one of the
following is correct?
A \( \cdot \frac{O A}{O C}=\frac{O B}{O D} \)
в. \( \frac{A D}{B C}=\frac{A B}{D C} \)
c. \( \frac{O B}{O C}=\frac{B C}{C D} \)
D. \( \frac{O A}{D C}=\frac{D A}{D C} \) | 2 | Maths |
Given;
(i) \( C u^{2+}+2 e^{-} \rightarrow C u, E^{\circ}=0.337 V \)
(ii) \( \boldsymbol{C u}^{2+}+\boldsymbol{e}^{-} \rightarrow \boldsymbol{C u}^{+}, \boldsymbol{E}^{\circ}=\mathbf{0 . 1 5 3} \boldsymbol{V} \)
Electrode potential \( \boldsymbol{E}^{\circ} \) for the reaction,
\( \boldsymbol{C u}^{+}+\boldsymbol{e}^{-} \rightarrow \boldsymbol{C u}, \) will be:
A . \( 0.38 V \)
в. \( 0.52 \mathrm{V} \)
c. \( 0.90 V \)
D. \( 0.30 V \) | 1 | Chemistry |
For a transistor to work as an amplifier:
A. its emitter junction is in reverse bias and collector junction is in forward bias
B. the transistor must have breakdown region
C. its emitter junction is in forward bias and collector junction is in reverse bias
D. its emitter and collector junction are in forward bias | 3 | Physics |
A gas has
A. one specific heat only
B. two specific heats only
C. many number of specific heats
D. no specific heat | 3 | Physics |
Who among the following first prepared a stable compound of noble gas?
B. Reyleigh
C. Ramsay
D. Rutherford | 1 | Chemistry |
In the circuit diagram find:
(A) Equivalent resistance
(B) Current shown by the ammeter \( A \) | 3 | Physics |
In Fig. the angle of inclination of the
inclined plane is \( 30^{0} . \) Find the horizonta
velocity \( V_{0} \) so that the particle hits the
inclined plane perpendicularly.
A \( \cdot V_{0}=\sqrt{\frac{2 g H}{5}} \)
B. \( V_{0}=\sqrt{\frac{2 g H}{7}} \)
\( \mathbf{c} \cdot_{V_{0}}=\sqrt{\frac{g H}{5}} \)
D \( \cdot V_{0}=\sqrt{\frac{g H}{7}} \) | 3 | Physics |
Which of the following is the most common fire extinguisher?
A. Foam
в. \( C O_{2} \)
c. water
D. Dry powder | 1 | Chemistry |
Cells of all living organisms have a nucleus.
A . True
B. False | 0 | Biology |
The dimensional formula for magnetic flux is
\( \mathbf{A} \cdot\left[M L^{2} T^{-2} A^{-1}\right] \)
B \( \cdot\left[M L^{3} T^{-4} A^{-2}\right] \)
c. \( \left[M^{0} L^{-2} T^{-2} A^{-2}\right] \)
D \( \cdot\left[M L^{2} T^{-1} A^{2}\right] \) | 3 | Physics |
Let \( A \) and \( B \) are two matrices of same
order \( 3 \times 3 \) given by \( \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{3} & \boldsymbol{\lambda}+\mathbf{2} \\ \mathbf{2} & \mathbf{4} & \mathbf{6} \\ \mathbf{3} & \mathbf{5} & \mathbf{8}\end{array}\right], \boldsymbol{B}=\left[\begin{array}{ccc}\mathbf{3} & \mathbf{2} & \mathbf{4} \\ \mathbf{3} & \mathbf{2} & \mathbf{5} \\ \mathbf{2} & \mathbf{1} & \mathbf{4}\end{array}\right] \)
If \( A \) is a singular matrix, then \( t r(A+ \)
\( B \) ) is equal to
A .24
в. 11
\( c .22 \)
D. None of these | 2 | Maths |
Find equation of circle which passes through the point (2,3) and touches the line \( 2 x-3 y-13=0 \) at the point
(2,-3) | 2 | Maths |
If \( f(x)=\frac{x^{2}-10 x+25}{x^{2}-7 x+10} \) for \( x \neq 5 \) and \( f \) is
continuous \( a t x=5, \) then \( f(5) \) has the
value equal to-
A .
B. 5
c. 10
D. 25 | 2 | Maths |
The relative proportion between the
volume of \( \mathrm{CO}_{2} \) released and \( \mathrm{O}_{2} \) absorbed
in respiration is termed as
A. Respiratory exchange
B. Respiratory quotient
c. Respiratory phase
D. None of the above | 0 | Biology |
In which one of the following intervals
is the function \( f(x)=x^{2}-5 x+6 \)
decreasing?
A \( \cdot x<\frac{5}{2} \)
в. \( x<\frac{2}{5} \)
c. \( _{x>\frac{2}{5}} \)
D. none | 2 | Maths |
The magnetic moment of a divalent ion in aqueous solution with atomic number 25 is:
A. 5.47 В.М
в. 2.9 в.м
c. 6.9 В. .
D. 6.7 в.м | 1 | Chemistry |
How many kilograms of wet NaOH containing \( 10 \% \) water are required to prepare 60 litre of a \( 0.5 \mathrm{M} \) solution?
A . \( 1.23 \mathrm{kg} \)
B. \( 1.13 \mathrm{kg} \)
c. \( 1.33 \mathrm{kg} \)
D. \( 1.24 \mathrm{kg} \) | 1 | Chemistry |
Three resistors of \( 10 \Omega, 15 \Omega \) and \( 20 \Omega \)
are connected in series in a circuit. If
the potential drop across the \( 15 \Omega \)
resistor is \( 3 V \), find the current in the
circuit, potential drop across \( 10 \Omega \) and the net emf of the source used in the
circuit. (Draw the circuit diagram) | 3 | Physics |
Two electric dipoles, \( A, B \) with respective dipole moments \( \overrightarrow{\boldsymbol{d}}_{\boldsymbol{A}}= \) \( -4 q a \hat{i} \) and \( \vec{d}_{B}=-2 q a \hat{i} \) placed on the
x-axis with a separation \( R \), as shown in the figure. The distance from \( A \) at which both of
them produce the same potential is
\( A \)
\[
\frac{\sqrt{2} R}{\sqrt{2}+1}
\]
в.
\[
\frac{R}{\sqrt{2}+1}
\]
\( c \)
\[
\frac{\sqrt{2} R}{\sqrt{2}-1}
\]
\( D \)
\[
\frac{R}{\sqrt{2}-1}
\] | 3 | Physics |
The additive used in transparent soaps
is:
A. glycol
B. pyrol
c. methanol
D. glycerol | 1 | Chemistry |
The average density of the earth in terms of \( g, \) Gand \( R \) is:
A \( \cdot \frac{4 \pi G R}{3 g} \)
в. \( \frac{3 g}{4 \pi G R} \)
c. \( \frac{3 g}{4 \pi G R^{2}} \)
D. \( \frac{4 \pi G R^{2}}{3 g} \) | 3 | Physics |
The conductor \( A D \) moves to the right in
a uniform magnetic field directed into the plane of the paper.
This question has multiple correct options
A. The free electron in \( A D \) will move toward \( A \)
B. Dd will acquire a positive potential with respect to
c. \( A \) current will flow from \( A \) to \( D \) in \( A D \) in closed loop
D. The current in \( A D \) flows from lower to higher potential
E. answer required | 3 | Physics |
in which two infinitely long static line charges of constant positive line charge
density \( \lambda \) are kept parallel to each other.
In their resulting electric field, point
charges \( \boldsymbol{q} \) and \( -\boldsymbol{q} \) are kept in
equilibrium between them. The point
charges are confined to move in the \( x \)
direction only. If they are given a small
displacement about their equilibrium positions, then the correct statement(s) is (are)
A. Both charges execute simple harmonic motion.
B. Both charges will continue moving in the direction of their displacement
c. Charge \( +q \) executes simple harmonic motion while charge \( -q \) continues moving in the direction of its displacement.
D. Charge \( -q \) executes simple harmonic motion while charge \( +q \) continues moving in the direction of its displacement | 3 | Physics |
Assertion
Although \( P F_{5}, P C l_{5} \) and \( P B r_{5} \) are
known, the pentahalide of nitrogen has not been observed.
Reason
Phosphorus has lower electronegativity than nitrogen.
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 |
Study the bar graph representing the
number of persons in various age
groups in a town shown in Fig.. Observe
the bar graph and answer the following
questions:
What is the age-group of exactly 1200
persons living in the town? | 2 | Maths |
A nuclide \( X \) undergoes \( \alpha \) -decay and
another nuclide undergoes \( \beta \) -decay.
Which of the following statements are
correct?
This question has multiple correct options
A. The \( \beta \) -particles emitted by \( Y \) may have widely different speed
B. The \( \alpha \) -particles emitted by \( X \) may have widely different speed
C. The \( \alpha \) -particles emitted by \( X \) will have almost the same speed
D. The \( \beta \) -particles emitted by \( Y \) will have the same speed | 1 | Chemistry |
A person standing on a road has to hold
his umbrella at \( 60^{\circ} \) with the vertical to
keep the rain away. He throws the
umbrella and starts running at \( 20 m s^{-1} \)
He find that rain drops are hitting his head vertically. Find the speed of the rain drops with respect to (a) the road
and
(b) the moving person. | 3 | Physics |
Can you think of a triangle in which two
altitudes of the triangle are two of its sides? | 2 | Maths |
Graphite is a good conductor of electricity because:
A. has tetra hedral structure
B. has free electrons
c. is crystalline
D. has free atoms | 1 | Chemistry |
Umbra and penumbra are seen in:
\( A \). rainbows
B. tides
c. shadows
D. sunlight | 3 | Physics |
Noble gases belongs to group of periodic table.
A. VII A
B. VIII A
c. VIII B
D. VIA | 1 | Chemistry |
Find the incorrectly matched compounds with the functional group.
A. \( C H_{3} C O O H, \) hydroxy
B. \( C H_{3} O H, \) hydroxy
c. \( C H_{3} C H_{2} N H_{2} \), amine
D. \( C C l_{3} C O O H, \) carboxylic acid
E . \( C_{6} H_{5} C O O H, \) carboxylic acid | 1 | Chemistry |
The Sl unit of density is:
A \( \cdot g m^{-3} \)
в. \( k g m^{-3} \)
\( \mathrm{c} \cdot g \mathrm{cm}^{-3} \)
D. \( k g c m^{-3} \) | 1 | Chemistry |
Calorie is defined as the amount of heat
required to raise temperature of \( 1 g \) of water by \( 1^{\circ} \mathrm{C} \) and it is defined under which of the following conditions?
A . From \( 14.5^{\circ} \mathrm{C} \) to \( 15.5^{\circ} \mathrm{C} \) at \( 760 \mathrm{mm} \) of \( \mathrm{Hg} \)
B. From \( 98.5^{\circ} \mathrm{C} \) to \( 99.5^{\circ} \mathrm{C} \) at \( 760 \mathrm{mm} \) of \( \mathrm{Hg} \)
C. From \( 13.5^{\circ} \mathrm{C} \) to \( 14.5^{\circ} \mathrm{C} \) at \( 76 \mathrm{mm} \) of \( \mathrm{Hg} \)
D. From \( 3.5^{\circ} \mathrm{C} \) to \( 4.5^{\circ} \mathrm{C} \) at \( 76 \mathrm{mm} \) of \( \mathrm{Hg} \) | 3 | Physics |
Proton which kinetic energy of \( 1 M e V \)
moves from south to north. It gets an
acceleration of \( 10^{12} m / s^{2} \) by an applied
magnetic field (west to east). The value of magnetic field:
(Rest mass of proton is \( \left.1.6 \times 10^{-27} k g\right) \)
A. \( 0.071 m T \)
B. \( 71 m T \)
\( c .0 .71 m T \)
D. \( 7.1 m T \) | 3 | Physics |
\( \int \frac{e^{x}}{\left(2 e^{x}-3\right)^{2}} d x= \)
A \( \cdot \frac{-1}{2\left(2 e^{x}-3\right)}+c \)
в. \( \frac{1}{2 e^{x}-3}+c \)
c. \( \frac{1}{2\left(2 e^{x}-3\right)^{2}}+c \)
D. \( \frac{1}{\left(2 e^{x}-3\right)^{2}}+c \) | 2 | Maths |
Final major product of this reaction is:
A \( \cdot C H_{3} C_{H_{2}}^{14} C H_{3} \)
В \( \cdot C_{H_{3}}^{14} C H_{2} C H_{3} \)
\( \mathbf{c} \cdot c_{H_{3}} C_{H_{2}-C H O}^{14}-C H O \)
D. \( C_{H_{3}-C H_{2}-C H O}^{14}-C_{3}-C H O \) | 1 | Chemistry |
What is lateral shift? Establish relation
between focal length and radius of curvature of a mirror. | 3 | Physics |
Assertion
The para-isomers have higher melting point as compared to their ortho and meta-isomers.
Reason
It is due to symmetry of para-isomers that fits in crystal lattice better as
compared to ortho- and meta-isomers.
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 | 1 | Chemistry |
Explain the classification of enzymes. | 0 | Biology |
Assertion
The relative velocity between the bodies
is equal to the sum of the velocities of
two bodies.
Reason
When body moves in opposite directions, the magnitude of the
relative velocity is equal to sum of magnitudes of individual velocities.
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 incorrect but Reason is correct
D. Both Assertion and Reason are incorrect | 3 | Physics |
The following data gives the number (in thousands) of applicants registered with an Employment Exchange during.
\[
1995-2000
\]
year 1995 \( \quad 1996 \quad \) 1997
Number of applicants registered
20
24
in thousands
Construct a bar graph to represent the above data. | 2 | Maths |
Whenever there are two or more chains
with equal number of carbon atoms:
A. the chain that contains double or triple bond is to be selected as the parent chain
B. the chain that has more substituents is selected as
parent chain
c. the chain with less number of substituent is selected
as a parent chain
D. the chain without double bond is selected as parent chain | 1 | Chemistry |
\( y+x^{2}=\frac{d y}{d x} \) has the solution
A. \( y+x^{2}+2 x+2=c . e^{x} \)
B . \( y+x+2 x^{2}+2=c . e^{x} \)
C \( \cdot y+x+x^{2}+2=c \cdot e^{2 x} \)
D . \( y^{2}+x+x^{2}+2=c . e^{2 x} \) | 2 | Maths |
A ball is dropped from height \( h \) and
another from \( 2 h . \) The ratio of time taken
by the two balls to reach ground is:
A. \( 1: \sqrt{2} \)
2 \( : \sqrt{2} \cdot \sqrt{2} \cdot \sqrt{2} \)
B. \( \sqrt{2}: 1 \)
c. 2: 1
D. 1: 2 | 3 | Physics |
What voltage on \( y \) -plate will give such a
deflection
A \( .0 .11 V \)
B. \( 1.1 V \)
\( \mathbf{c} \cdot 11 V \)
D. none | 3 | Physics |
The value of 'a' for which the function \( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{cc}-\boldsymbol{x}^{3}+\cos \boldsymbol{a} & \boldsymbol{0}<\boldsymbol{x}<1 \\ \boldsymbol{x}^{2} & \boldsymbol{x} \geq \mathbf{1}\end{array}\right. \)
has a local minimum at \( x=1 \), is
This question has multiple correct options
A . -1
B. 1
\( c \cdot 0 \)
D. \( -\frac{1}{2} \) | 2 | Maths |
A current of i ampere is flowing in an equilateral triangle of side a. The magnetic induction at the centroid will
be?
A \( \cdot \frac{\mu_{i}}{3 \sqrt{3} \pi a} \)
в. \( \frac{3 \mu_{i}}{2 \pi a} \)
\( ^{\mathrm{c}} \cdot \frac{5 \sqrt{2} \mu_{i}}{3 \pi a} \)
D. \( \frac{9 \mu_{i}}{2 \pi a_{i}} \) | 3 | Physics |
Assertion
To give scientific name to a plant, there
is ICBN.
Reason
It uses articles, photographs and recommendations to name a plant.
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 | 0 | Biology |
Which of the following is not a drug?
A. Antihistamine
B. Rantadine
c. Aspirin
D. None of the above | 1 | Chemistry |
The first probable fossil of man was
A. Australopithecus
B. Zinjanthropus
c. Pithecanthropus
D. Plesianthropus | 0 | Biology |
The figure represents a voltage regulator circuit using a Zener diode. The breakdown voltage of the Zener diode is \( 6 V \) and the load resistance is
\( R_{L}=4 k \Omega . \) The series resistance of the
circuit is \( R_{i}=1 k \Omega . \) If the battery
voltage \( V_{B} \) varies from \( 8 V \) to \( 16 V \), what
are the minimum and maximum values
of the current through Zener diode?
A. \( 0.5 \mathrm{mA} ; 6 \mathrm{mA} \)
B. \( 0.5 \mathrm{mA} ; 8.5 \mathrm{mA} \)
c. \( 1.5 m A ; 8.5 m A \)
D. \( 1 \mathrm{mA} ; 8.5 \mathrm{mA} \) | 3 | Physics |
\( 0.3 \mathrm{g} \) of chloroplatinate of an organic diacidic base left 0.09 g of platinum on ignition. The molecular weight (in g/mol) of the organic base is :
A . 120
в. 240
c. 180
D. 60 | 1 | Chemistry |
What will be the mass of a \( 0.500 \mathrm{m} \)
solution of sodium acetate in water
containing \( 0.5 \mathrm{Kg} \) sodium acetate? | 1 | Chemistry |
A mixture of \( \boldsymbol{H}_{2} \boldsymbol{O} \) and solid \( \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l} \)
shaken to obtain saturated solution.
The solid is filtered and to \( 100 m L \)
filtrate, \( 100 m L \) of \( 0.03 M N a B r \) is added, will a precipitate formed? \( \boldsymbol{K}_{s p} \boldsymbol{A} \boldsymbol{g} \boldsymbol{C l}=\mathbf{1 0}^{-10}, \boldsymbol{K}_{s p} \boldsymbol{A} \boldsymbol{g} \boldsymbol{B r}=\mathbf{5} \times \)
\( \mathbf{1 0}^{-13} \) | 1 | Chemistry |
A step up transformer converts \( 100 \mathrm{V} \) at
primary to \( 300 \mathrm{V} \) at secondary. If the primary current is \( 6 A \), then the secondary current is \( A \)
A . 4
B. 8
c. 2
D. 10 | 3 | Physics |
Solve:
\( \int e^{x}\left(\tan ^{-1} x+\frac{1}{1+x^{2}}\right) d x \)
A \( \cdot e^{x} \tan ^{-1} x+c \)
B. \( \frac{e^{x}}{1+x^{2}}+c \)
\( \mathbf{c} \cdot e^{x} \tan x+c \)
D. None of these | 2 | Maths |
Fill in the blanks:
The \( \ldots \) tungsten is reduced by coating with barium oxide.
A. Normal function
B. Force function
c. Power function
D. Work function | 3 | Physics |
In a simple microscope, if the final
image is located at \( 25 \mathrm{cm} \) from the eye placed closed to the lens, then
magnifying power is
A \( \cdot \frac{25}{f} \)
в. \( _{1+\frac{25}{f}} \)
c. \( \frac{f}{25} \)
D. \( \frac{25}{f}+ \) | 3 | Physics |
The diagram below shows the path of a light ray in three different materials.
The index of refraction for each material
is shown in the upper right portion of
the material.
Rank the index of refraction values,
greatest first
\( \mathbf{A} \cdot n_{1}, n_{2}, n_{3} \)
В. \( n_{1}, n_{3}, n_{2} \)
\( \mathbf{c} \cdot n_{2}, n_{1}, n_{3} \)
\( \mathbf{D} \cdot n_{2}, n_{3}, n_{1} \)
E \( . n_{3}, n_{1}, n_{2} \) | 3 | Physics |
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