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The Bulk modulus for an
incompressible liquid is :
A. zero
B. Unity
c. Infinty
D. Between O and 1
| 3 |
Physics
|
Total number of faces in a cuboid is
| 2 |
Maths
|
Assertion \( (A) \). The direction ratios of the line joining origin and point \( (x, y, z) \) must be \( x, y, z \)
Reason (R): If \( P(x, y, z) \) is a point in space and \( |O P|=r, \) then the direction cosines of \( O P \) are \( \frac{x}{r}, \frac{y}{r}, \frac{z}{r} \)
A. Both A and R are individually true and R is the correct explanation of
B. Both A and R individually true but R is not the correct explanation of A
c. A is true but R is false
D. A is false but R is true
| 2 |
Maths
|
Which one is correct for fuse wire?
A. low resistance and low melting point
B. high resistance and high melting point
C . high resistance and low melting point
D. low resistance and high melting point
| 3 |
Physics
|
A transition element \( X \) has a
configuration \( [A r] 3 d^{4} \) in its +3 oxidation state.
Its atomic number is not:
This question has multiple correct options
A . 25
B . 26
c. 22
D. 19
| 1 |
Chemistry
|
Write in proper sequence the name of
all the parts of the human eye through which the light rays coming from an object pass before they form an image
on the retina.
| 0 |
Biology
|
In figure the segment \( S T \) is parallel to
side \( P R \) of \( \triangle P Q R \) and it divides the
triangle into two parts of equal area.Find the ratio \( \frac{\boldsymbol{P S}}{\boldsymbol{P Q}} \)
\( \mathbf{A} \cdot 1: 2 \)
B. 1: 8
\( c \cdot 1: 4 \)
D. 1: 10
| 2 |
Maths
|
\( 2 \tan ^{-1}\left(\frac{3}{4}\right)= \)
A \( \cdot \sin ^{-1} \frac{24}{25} \)
B \( \cdot \sin ^{-1} \frac{12}{13} \)
c. \( \cos ^{-1}\left(\frac{24}{25}\right) \)
D. \( \cos ^{-1}\left(\frac{12}{13}\right) \)
| 2 |
Maths
|
A pulley has a light rope running over it, with a \( 10 N \) weight on one side and a
\( 20 N \) weight on the other. Ropes always
pull with equal force on each end; this is called tension. If the masses are
allowed to fall, what is the tension, \( \boldsymbol{T} \) in
the rope?
A . \( 0 N \)
В. \( 1 N<T<10 N \)
\( c \cdot 10 N \)
D. None of these
| 3 |
Physics
|
Find the inverse function of \( f(x)= \)
\( 2 x-3 \)
| 2 |
Maths
|
If \( x=\sec \theta-\cos \theta \) and \( y=\sec ^{3} \theta- \)
\( \sec ^{3} \theta-\cos ^{3} \theta, \) then the value of
\( \left(\frac{d y}{d x}\right)^{2} \) at \( x=0 \)
A . 0
B. 2
\( c \cdot 4 \)
D.
| 2 |
Maths
|
\( \lim _{x \rightarrow 0} \frac{\sin 3 x \tan 4 x}{x \sin 5 x}= \)
\( A . \)
B. \( \frac{5}{12} \)
c. 0
D. \( \frac{12}{5} \)
| 2 |
Maths
|
Main ore of aluminium is:
A. \( A l_{2} S \)
B. Bauxite
c. cinnabar
D. Aluminium glance
| 1 |
Chemistry
|
Expand the following binomial \( \left(1+\frac{x}{2}\right)^{7} \)
| 2 |
Maths
|
The sound waves are the longitudinal
waves. The electromagnetic waves are
| 3 |
Physics
|
Identify open curve.
\( \mathbf{A} \cdot 1 \) only
B. 2 only
\( \mathrm{C} \cdot 1,2 \) only
D. 3only
| 2 |
Maths
|
Lt is known that the decay rate of radium is directly proportional to its quantity at each given instant Find the law of variation of a mass of radium
as a function of time if at \( t=0, \) the
mass of the radius was \( m_{0} \) and
during time \( t_{0} \alpha \% \) of the original mass of radium decay, if \( m=m_{0} e^{-k t}, \) then
\( k=? \)
A \( \cdot k=\frac{1}{t_{0}} \ln \left(1-\frac{\alpha}{100}\right) \)
В \( \cdot k=\frac{-1}{t_{0}} \ln \left(1-\frac{\alpha}{100}\right) \)
C \( \cdot k=\frac{1}{t_{0}} \ln (1-\alpha) \)
D・ \( k=\frac{-1}{t_{0}} \ln (1-\alpha) \)
| 2 |
Maths
|
Tangents TP and TO are drawn from a
point \( \mathbf{T} \) to the circle \( \boldsymbol{x}^{2}+\boldsymbol{y}^{2}=\mathbf{a}^{2} . \) If the
point \( \mathbf{T} \) lies on the line \( \mathbf{p x}+\mathbf{q y}=\mathbf{r} \)
then the locus of centre of the
circumcircle of \( \Delta \) TPO is
A \( \cdot p x+q y=\frac{r}{3} \)
B. \( p x+q y=\frac{r}{2} \)
c. \( p x+q y=2 r \)
D. \( p x+q y=r \)
| 2 |
Maths
|
Which of the following is not a linear molecule?
A. \( C O_{2} \)
в. \( C_{2} H_{2} \)
c. \( H C N \)
D. \( H_{2} O \)
| 1 |
Chemistry
|
A particle is moving uniformly in a
circular path of radius 10 m. When it moves through a displacement \( 5 m \) then the magnitude of the corresponding angular displacement will be:
A \( \cdot 20^{\circ} \)
B . \( 30^{\circ} \)
\( c \cdot 60^{\circ} \)
D. \( 90^{\circ} \)
| 3 |
Physics
|
Hertz is the unit of
A. Wavelength
B. Amplitude
c. Frequency
D. None of these
| 3 |
Physics
|
What type of bond does \( M g \) form with
\( C l ? \)
A. Covalent
B. Ionic
c. co-ordinate
D. None of these
| 1 |
Chemistry
|
What is the mathematical equation for the rate constant for the decomposition
of nitrous oxide in presence of platinum catalyst?
| 1 |
Chemistry
|
Solve:
\( \frac{1}{3}(x-2)+\frac{1}{4}(x+3)=\frac{1}{5} \)
| 2 |
Maths
|
Is it possible to construct a triangle
with lengths of its sides as \( 4 \mathrm{cm} .3 \mathrm{cm} \)
and \( 7 \mathrm{cm} ? \) Give reason for your answer.
| 2 |
Maths
|
Which of the following properties are common to the elements manganese,
iron, cobalt, nickel and copper?
(I) Coloured ions in aqueous solution
(II) Oxides of nitrogen on reaction with
concentrated \( \boldsymbol{H} \boldsymbol{N} \boldsymbol{O}_{3} \)
(III) Chlorides of formula \( M C l_{2} \) and
\( M C l_{3} \)
A. ।, ॥।, ॥।
B . ।, ॥
c. ॥, ॥ा
D. I only
| 1 |
Chemistry
|
Find the charge on the inner surface of
the conducting concentric shell
\( A \cdot Q \)
B. \( 2 Q \)
\( c .-2 Q \)
D. \( -Q \)
| 3 |
Physics
|
Evaluate the following limits. \( \lim _{x \rightarrow a} \frac{x^{2 / 7}-a^{2 / 7}}{x-a} \)
| 2 |
Maths
|
The D.E whose solution is \( y=c(x-c)^{2} \)
is
\( ^{\mathbf{A}} \cdot\left(\frac{d y}{d x}\right)^{3}=4 y\left(x \frac{d y}{d x}-2 y\right) \)
В. \( y_{1}^{3}=2 y\left(x y_{1}-y\right) \)
\( ^{\mathbf{c}}\left(\frac{d y}{d x}\right)^{3}=4 y\left(2 x \frac{d y}{d x}-y\right) \)
D. \( \left(\frac{d y}{d x}\right)^{3}=2 y\left(x \frac{d y}{d x}-4 y\right) \)
| 2 |
Maths
|
How many delocalised \( \pi \) - electrons are
there in the following compound?
\( A \)
B. 2
\( c \cdot 4 \)
D.
| 1 |
Chemistry
|
A group of \( N \) cells whose emf varies
directly with the internal resistance as
per the equation \( \boldsymbol{E}_{\boldsymbol{N}}=\mathbf{1 . 5 r}_{\boldsymbol{N}} \) are
connected as shown in the figure above.
The current \( I \) in the circuit is:
\( \mathbf{A} \cdot 5 \cdot 1 A \)
B. \( 0.51 A \)
c. \( 1.5 A \)
D. 0.15 A
| 3 |
Physics
|
There is no life on moon because there
is no
A. carbon
B. Nitrogen
c. water
D. silicates
| 0 |
Biology
|
What is the sum of G.P. \( 1+p+p^{2}+ \)
\( \boldsymbol{p}^{3}+\boldsymbol{p}^{4}+\boldsymbol{p}^{5} ? \)
\( ^{\mathbf{A}} \cdot_{S_{6}}=\frac{1-p^{6}}{1-p} \)
в. \( s_{5}=\frac{1-p^{5}}{1-p} \)
\( ^{\mathbf{c}} \cdot_{S_{4}}=\frac{1-p^{4}}{1-p} \)
D. \( s_{6}=\frac{1-p^{6}}{1+p} \)
| 2 |
Maths
|
A solution contains \( 20 \% \) solute by
weight at \( 60^{\circ} \mathrm{C} \). Whencooled to \( 30^{\circ} \mathrm{C} \)
the solution contains \( 10 \% \) solute by
weight. When \( 45 g \) solution is cooled
from \( 60^{\circ} \mathrm{C} \) to \( 30^{\circ} \mathrm{C} \), the mass of solute
deposited is:
| 1 |
Chemistry
|
Imagine a light planet revolving around a very massive star in a circular orbit of
radius \( R \) with a period of revolution \( T . \) If the gravitational force of attraction between the planet and the star is proportional to \( R^{-5 / 2}, \) then \( T^{2} \) is
proportional to:
\( \mathbf{A} \cdot R^{3} \)
B. \( R^{7 / 12} \)
c. \( R^{3 / 2} \)
D. \( R^{3.75} \)
| 3 |
Physics
|
A ray of light is reflected by a plane
mirror.
Which row shows the angle of incidence
and the angle of reflection?
A. Angle of incidence - \( P \), Angle of reflection - \( Q \)
B. Angle of incidence - \( P \), Angle of reflection - \( S \)
C. Angle of incidence - \( Q \), Angle of reflection - \( R \)
D. Angle of incidence - \( R \), Angle of reflection - \( S \)
| 3 |
Physics
|
To a germanium sample, traces of gallium are added as an impurity. The resultant sample would behave like
A. a conductor
B. a p-type semiconductor
c. an n-type semiconductor
D. a insulator
| 3 |
Physics
|
\( \operatorname{Let} \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{5} & \mathbf{5} \boldsymbol{\alpha} & \boldsymbol{\alpha} \\ \mathbf{0} & \boldsymbol{\alpha} & \mathbf{5} \boldsymbol{\alpha} \\ \mathbf{0} & \mathbf{0} & \mathbf{5}\end{array}\right] \) If \( \left|\boldsymbol{A}^{2}\right|=\mathbf{2 5} \)
then \( |\boldsymbol{\alpha}| \) equals
\( \mathbf{A} \cdot 5^{2} \)
B.
\( c \cdot \frac{1}{5} \)
D. 5
| 2 |
Maths
|
Identify the correct statement regarding
enzymes.
A. Enzymes are specific biological catalysts that possess well defined active sites.
B. Enzymes are normally heterogeneous catalysts that are very specific in their action.
C. Enzymes are specific biological catalysts that cannot be poisoned
D. Enzymes are specific biological catalysts that can normally function at very high temperature (T=1000K)
| 1 |
Chemistry
|
Which of the following has more inertia
\( ? \)
A five-rupee coin or a one-rupee coin.
| 3 |
Physics
|
Which one of the following is a secondary alkylhalide?
A \( \cdot\left(C H_{3}\right)_{3} C C l \)
B \( \cdot C_{2} H_{5} C l \)
c. \( \left(C H_{3}\right)_{2} C H C l \)
D. \( \left(C H_{3}\right)_{2} C H C H_{2} C l \)
| 1 |
Chemistry
|
If \( I \) is regarded as the fourth dimension, then the dimensional formula of charge
in terms of current \( \boldsymbol{I} \) is
\( \mathbf{A} \cdot\left[I T^{2}\right] \)
B . \( \left[I^{0} T^{0}\right] \)
c. \( \left[I^{-1} T^{0}\right] \)
D. [IT]
| 3 |
Physics
|
Chromosomal morphology (structure) is best observed at
A. Prophase
B. Metaphase
c. Interphase
D. Anaphase
| 0 |
Biology
|
Assertion \( \operatorname{Let} \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{0} & \boldsymbol{c} & -\boldsymbol{b} \\ -\boldsymbol{c} & \boldsymbol{0} & \boldsymbol{a} \\ \boldsymbol{b} & \boldsymbol{-} \boldsymbol{a} & \boldsymbol{0}\end{array}\right] \) and \( \boldsymbol{t} \in \boldsymbol{C} \)
\( \boldsymbol{a} \boldsymbol{d} \boldsymbol{j}(\boldsymbol{t} \boldsymbol{I}-\boldsymbol{A})=\boldsymbol{t}^{2} \boldsymbol{I}+\boldsymbol{t} \boldsymbol{A}+\boldsymbol{A}^{2}+\left(\boldsymbol{a}^{2}+\right. \)
\( \left.b^{2}+c^{2}\right) I \)
Reason
\( \boldsymbol{a} \boldsymbol{d} \boldsymbol{j} \boldsymbol{A}=\boldsymbol{A}^{2}+\left(\boldsymbol{a}^{2}+\boldsymbol{b}^{2}+\boldsymbol{c}^{2}\right) \boldsymbol{I} \)
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
| 2 |
Maths
|
Given three vectors \( \vec{a}=6 \hat{i}-3 \hat{j}, \vec{b}= \) \( 2 \hat{i}-6 \hat{j} \) and \( \vec{c}=-2 \hat{i}+21 \hat{j} \) such that
\( \overrightarrow{\boldsymbol{\alpha}}=\overrightarrow{\boldsymbol{a}}+\overrightarrow{\boldsymbol{b}}+\overrightarrow{\boldsymbol{c}}, \) then the resolution of
the vector \( \vec{\alpha} \) into components with respect to \( \vec{a} \) and \( \vec{b} \) is given by
A \( .3 \vec{a}-2 \vec{b} \)
в. \( 3 \vec{b}-2 \vec{a} \)
c. \( 2 \vec{a}-3 \vec{b} \)
D. \( \vec{a}-2 \vec{b} \)
| 2 |
Maths
|
Let the statement \( P(n): 2^{n} \geq 3 n \), the
truth of \( \boldsymbol{P}(\boldsymbol{k}), \forall \boldsymbol{k} \in \boldsymbol{N} \Rightarrow \) truth of
\( \mathbf{A} \cdot P(1) \)
B \( \cdot P(2) \)
\( \mathbf{c} \cdot P(3) \)
D \( \cdot P(k+1) \)
| 2 |
Maths
|
Assertion
Perfectly ideal solution is not possible with respect to binary solution of two liquids.
Reason
No two substances can have exactly the same nature of intermolecular forces
and also of the same magnitude.
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
|
The correct order for reducing nature of
\( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{4}, \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{3} \) and \( \boldsymbol{H}_{3} \boldsymbol{P} \boldsymbol{O}_{2} \) is :
A. \( H_{3} P O_{2}<H_{3} P O_{3}<H_{3} P O_{4} \)
в. \( H_{3} P O_{4}<H_{3} P O_{3}<H_{3} P O_{2} \)
c. \( H_{3} P O_{3}<H_{3} P O_{4}<H_{3} P O_{2} \)
D. \( H_{3} P O_{4}<H_{3} P O_{2}<H_{3} P O_{3} \)
| 1 |
Chemistry
|
Carbohydrates are
A. used to make a paper
B. produced as an intermediate in the synthesis of proteins
C. the polyhydroxy aldehyde or polyhydroxy ketone
D. all of these
| 1 |
Chemistry
|
The amplitude and the time period in a
S.H.M. is \( 0.5 \mathrm{cm} \) and 0.4 see respectively If the initial phase is \( r / 2 \) radiam,then the equaction of S.H.H. will be
A \( \cdot y=0.5 \sin 5 / \pi \)
B. \( y=0.5 \sin 4 / \pi \)
c. \( y=0.5 \sin 2.5 / \pi \)
D. \( y=0.5 \cos 5 \pi t \)
| 3 |
Physics
|
Papillary muscles are located in
A. Ventricle of rabbit
B. Dermis of mammalian skin
c. orbit of vertebrate eyes
D. Pylorus of vertebrate stomach
| 0 |
Biology
|
For the equilibrium of the reaction:
\( N H_{4} C l(s) \rightleftharpoons N H_{3}(g)+ \)
\( \boldsymbol{H} \boldsymbol{C l}(\boldsymbol{g}) ; \boldsymbol{K}_{\boldsymbol{p}}=\boldsymbol{8} 1 \boldsymbol{a} \boldsymbol{t} \boldsymbol{m}^{2} \)
Total pressure at equilibrium will be \( x \)
times the pressure of \( \boldsymbol{N} \boldsymbol{H}_{3} \)
The value of \( x \) will be:
| 1 |
Chemistry
|
Arrange giving the sequence order to \( B r, C l, F \) and \( H \) combined with
asymmetric carbon
A. \( H, C l, B r, F \)
в. \( H, C l, F, B r \)
c. \( B r, C l, F, H \)
D. \( H, F, B r, C l \)
| 1 |
Chemistry
|
Two equal positive charges \( Q \) are fixed at points \( (a, 0) \) and \( (-a, 0) \) on the \( x \) axis. An opposite charge \( -q \) at rest is released from point \( (0, a) \) on the \( y \) -axis.
The charge \( -\boldsymbol{q} \) will
A. move to infinity
B. Move to origin and rest there
c. Undergo SHM about the origin
D. Execute oscillatory periodic motion but not SHM
| 3 |
Physics
|
How many transition states and
intermediates will be formed during the
course of following reaction?
\( A . \quad 3 \) transition states and 3 intermediates
B. 4 transition states and 3 intermediates
C. 3 transition states and 2 intermediates
D. 5 transition states and 4 intermediates
| 1 |
Chemistry
|
Reduce the equation \( x+2 y-5=0 \) to
slope-intercept form and find its slope
and \( \boldsymbol{y}- \) intercept.
| 2 |
Maths
|
Amplitude of oscillation of a particle that executes S.H.M. is 2 cm. Its
displacement from its mean position in a time equal to \( 1 / 6 \) th of its time period
is
A \( \cdot \sqrt{2} \mathrm{cm} \)
B. \( \sqrt{3} \mathrm{cm} \)
c. \( 1 / \sqrt{2} \mathrm{cm} \)
D. \( 1 / \sqrt{3} \mathrm{cm} \)
| 3 |
Physics
|
If the sum of two adjacent angles is
\( 100^{\circ} \) and one of them is \( 35^{\circ}, \) then the
other is :
A \( .70^{\circ} \)
B . 65
c. \( 135^{\circ} \)
D. 145
| 2 |
Maths
|
1-phenylethyne gives \( C_{6} H_{5} C H_{2} C H O \) as a product on hydroboration-oxidation reaction.
Enter 1 if true else 0
| 1 |
Chemistry
|
A silver article generally turns black when kept in the open for a few days.
The article when rubbed with
toothpaste again starts shining. Silver articles turn black when kept in the open for a few days because of
| 1 |
Chemistry
|
Two rods of the same weight and equal
length have different thickness. They are held vertically on the surface of sand as shown in Figure. Which one of them will sink more? Why?
\( A \)
B. B
c. both sink same
D. cant say
| 3 |
Physics
|
A man wearing a wingsuit glides through the air with a constant velocity
of \( 47 m s^{-1} \) at an angle of \( 24^{\circ} \) to the horizontal. The path of the man is shown
in Fig.
The total mass of the man and the
wingsuit is \( 85 k g . \) The man takes a time
of 2.8 minutes to glide from point \( A \) to
point \( \boldsymbol{B} \)
For the movement of the man from \( A \) to
\( B, \) determine:
the decrease in gravitational potential energy decrease in gravitational potential energy \( = \)
| 3 |
Physics
|
Two fishes are \( 1 m \) apart underwater
The gravitational force between them is
\( F_{1}, \) Theyjump above the surface of water keeping the same distance (i.e 1 m)
between them. The new gravitational
force between them is \( F_{2} \). The
relationship between \( \boldsymbol{F}_{1} \) and \( \boldsymbol{F}_{2} \) is
A \( \cdot F_{1}>F_{2} \)
B. \( F_{1}<F_{2} \)
c. \( F_{1}=F_{2} \)
D. \( F_{1}: F_{2}=1: 2 \)
| 3 |
Physics
|
The pupil of the eye changes its size to adjust for
A. objects at different distances
B. different amount of light
c. objects of different sizes
D. different colours
| 3 |
Physics
|
The integer next above \( (\sqrt{3}+1)^{2 n} \)
contains
\( \mathbf{A} \cdot 2^{n+1} \) as a factor
B. \( 2^{n+2} \) as a factor
\( \mathbf{c} \cdot 2^{n+3} \) as a factor
D. \( 2^{n} \) as a factor
| 2 |
Maths
|
ff \( y \) varies inversely as \( x, \) and \( y=9 \) when \( x=2, \) find \( y \) when \( x=3 \)
| 2 |
Maths
|
Water absorption through roots can be increased by keeping the plants
A. In the shade
B. In dim light
c. under the fan
D. Covered with a polythene bag
| 0 |
Biology
|
If a car is moving forward, what is the
direction of the moment of the moment
caused by the rotation of the tires
A. It is heading inwards, i.e. the direction is towards inside of the car
B. It is heading outwards, i.e. the direction is towards outside of the car
c. It is heading forward, i.e. the direction is towards the forward direction of the motion of the car
D. It is heading backward, i.e. the direction is towards back side of the motion of the car
| 3 |
Physics
|
The main raw materials required for the manufacture of portland cement are:
A. limestone and clay
B. limestone and gypsumm
c. limestone and calcium chloride
D. limestone and silica
| 1 |
Chemistry
|
Which of the following statements is
false?
A. Glycine is amphoteric in nature.
B. Hydrolysis of sucrose is known as inversion of cane sugar.
C. Sucrose undergoes mutarotation.
D. Maltose and Lactose both are reducing sugars.
| 1 |
Chemistry
|
Column I Column II
| 1 |
Chemistry
|
To convert mechanical energy into
electrical energy, one can use This question has multiple correct options
A. \( D C \) dynamo
B. \( A C \) dynomo
c. motor
D. transformer
| 3 |
Physics
|
A wave completes 20 vibrations in 2.5 s.
Its frequency is
\( A \cdot 20 H z \)
в. 8 н \( z \)
c. 200 н \( z \)
D. 50 Hz
| 3 |
Physics
|
Find the square of the following number
\( \mathbf{9 7} \)
| 2 |
Maths
|
Magnesium is manufactured by electrolysing fused magnesium chloride using.
A. A nickel cathode and a graphite anode
B. The iron container as anode and a nickel cathod
C. The iron container as cathode and a graphite anode
D. The nickel container as cathode and iron anode
| 1 |
Chemistry
|
NaOH can't be stored in
\( \mathbf{A} \cdot \) Al vessel
B. Zn vessel
c. Both a and
D. None of these
| 1 |
Chemistry
|
The first term of an A.P. is 2 and ninth
term is \( 58 . \) What is the common
difference?
A . 5
B. 6
\( c \cdot 7 \)
D.
| 2 |
Maths
|
Calculate the amount of charge required to deposit 1.0 g of sodium metal(molar mass 23.0 g \( m o l^{-1} \) ) from sodium ion.
A . 2098
B. 96500
c. 193000
D. 4196
| 1 |
Chemistry
|
An oscillator circuit contains an
inductor \( 0.05 H \) and a capacitor
of capacity \( 80 \mu F \).When the maximum
voltage across the capacitor is \( 200 V \) the maximum current (in amperes) in the circuit is
\( A \cdot 2 \)
B. 4
c. 8
D. 10
E. 16
| 3 |
Physics
|
When a molecule of pyruvic acid is subjected to anaerobic oxidation and forms lactic acid, these are:
A. Loss of 3 ATP molecules
B. Loss of 6 ATP molecules
c. Gain of 2 ATP molecules
D. Gain of 4 ATP molecules
| 0 |
Biology
|
A farmer \( F_{1} \) has a land in the shape of a
triangle with vertices at \( \boldsymbol{P}(\mathbf{0}, \mathbf{0}), \boldsymbol{Q}(\mathbf{1}, \mathbf{1}) \)
and \( R(2,0) . \) From this land, a
neighbouring farmer \( F_{2} \) takes away the region which lies between the side PQ and a curve of the form \( \boldsymbol{y}=\boldsymbol{x}^{n}(\boldsymbol{n}>1) \)
If the area of the region taken away by the farmer \( F_{2} \) is exactly \( 30 \% \) of the area of \( \Delta P Q R, \) then the value of \( n \) is
| 2 |
Maths
|
What is the formula to find the value of
\( t_{1 / 2} \) for a zero order reaction?
A. \( \frac{k}{[R]_{0}} \)
в. \( \frac{2 k}{[R]_{0}} \)
c. \( \frac{[R]_{0}}{2 k} \)
D. \( \frac{0.693}{k} \)
| 1 |
Chemistry
|
Solve the following system of equation \( 2 x+3 y+8=0 \)
\( 4 x+5 y+14=0 \)
| 2 |
Maths
|
The principal axis is also called
of the lens.
A. optical axis
B. x-axis
c. y-axis
D. axis
| 3 |
Physics
|
The vertices of a triangle \( A B C \) are \( A(2,3, \)
1), \( B(-2,2,0) \) and \( C(0,1,-1) \).Find the
magnitude of the line joining mid points of the sides \( A C \) and \( B C \).
A \( \cdot \frac{1}{\sqrt{2}} \) unit
B. 1 unit
c. \( \frac{3}{\sqrt{2}} \) unit
D. 2 unit
| 2 |
Maths
|
Electronic configuration has violated :
仙 \( \left[\begin{array}{l}16 \\ 1 k\end{array}\right] \) 倪
A. Hund's rule
B. Pauli's principle
c. Aufbau principle
D. \( (n+l) \) rule
| 1 |
Chemistry
|
If \( \boldsymbol{A} \) is a \( \mathbf{3} \times \mathbf{3} \) matrix \( |\mathbf{3} \boldsymbol{A}|=\boldsymbol{k}|\boldsymbol{A}| \), then
write the value of \( k \)
| 2 |
Maths
|
\( H_{2} S \) is acidic in nature while \( H_{2} O \) is
neutral in nature. Give reason.
A. Oxygen is more electro negative than sulphur
B. \( H-S \) bond is weaker than \( O-H \) bond
c. Bond angle in \( H_{2} S \) is less than that in \( H_{2} O O \)
D. \( H-S \) bond is stronger than \( O-H \) bond
| 1 |
Chemistry
|
Which of the following is not s-block element?
В. \( 1 s^{2} 2 s^{2} 2 p^{1} \)
c. \( 1 s^{2} 2 s^{1} 2 p^{1} \)
D・ \( [A r] 4 s^{1} 4 p^{1} \)
| 1 |
Chemistry
|
With rise in temperature, resistance of
a semiconductor material (germanium or silicon)
A . increases
B. decreases
c. remains the same
D. first increases then decreases
| 3 |
Physics
|
An electron in the hydrogen atom is excited from \( 1^{s t} \) orbit to \( 5^{t h} \) orbit. Find
the change in energy of the electron in
\( e V: \)
A. (13.6 \( \times 24) / 25 \)
B. (13.6 \( \times 4) / 5 \)
\( c \cdot(0.529 \times 4) / 5 \)
D. (13.6 \( \times 4) / 9 \)
| 1 |
Chemistry
|
The rate constant, the activation energy
and the frequency factor of a chemical
reaction at \( 25^{\circ} \mathrm{C} \) are \( 3.0 \times 10^{-4} s^{-1} \)
\( 104.4 \mathrm{KJ} \) mol\( ^{-1} \) and \( 6.0 \times 10^{14} s^{-1} \)
respectively. The value of the rate constant as \( \boldsymbol{T} \rightarrow \infty \) is:
A . \( 2.0 \times 10^{18} s^{-1} \)
B. \( 6.0 \times 10^{14} s^{-1} \)
\( c \cdot \alpha \)
D. 3.6 \( \times 10^{20} s^{-1} \)
| 1 |
Chemistry
|
The pressure exerted by a column of liquid of height \( h \) and density \( p \) is
given by the hydrostatic pressure equation equal to
\( A \cdot p g h \)
B. \( p g \)
\( c \cdot g h \)
D. Cannot be calculated
| 3 |
Physics
|
A particle with a charge of 3 coulombs is taken from a point at a potential of 50 V to another point at a potential of \( 120 \mathrm{V} \) Calculate the work done.
A . 23.33 J
B. 2.4 J
c. 210
D. 40 J
| 3 |
Physics
|
The amount of \( \left(N H_{4}\right)_{2} S O_{4} \) having degree of dissocation \( 75 \% \) which should
be dissolved in \( 1500 \mathrm{ml} \) of \( 1 \mathrm{M} N H_{4} \mathrm{OH} \)
to decrease its degree of dissociation
by 200 times, is \( \left[k_{b} \text { of } N H_{4} O H=1.8\right. \)
\( \left.\times 10^{-5}\right]: \)
A . \( 112.1 \mathrm{gm} \)
B. 224.2 gm
c. \( 56.0 \mathrm{gm} \)
D. 65.4gm
| 1 |
Chemistry
|
A photon of wavelength \( 4 \times 10^{-7} \mathrm{m} \)
strikes on the metal surface, the work
function of the metal is 2.13 eV.
Calculate the energy of the photon (eV)
(ii) the kinetic energy of the emission and (iii) the velocity of the photoelectrons \( (1 e V= \) \( \left.1.6020 X 10^{-23} J\right) \)
| 1 |
Chemistry
|
The molecular weight of benzoic acid in benzene as determined by depression in the freezing point method corresponds
to:
A. ionization of benzoic acid
B. dimerization of benzoic acid
c. trimerization of benzoic acid
D. solvation of benzoic acid
| 1 |
Chemistry
|
Ordinary CuO is used in Liebig's combustion method for estimation of
carbon and hydrogen in organic compounds.
A. True
B. False
| 1 |
Chemistry
|
Describe with suitable diagram the Deacon process of manufacture of chlorine. Write its reaction with
ammonia.
| 1 |
Chemistry
|
\( \operatorname{Let} \boldsymbol{F}(\boldsymbol{x})=\boldsymbol{f}(\boldsymbol{x})+\boldsymbol{f}\left(\frac{1}{\boldsymbol{x}}\right) \) where
\( f(x)=\int_{1}^{x} \frac{\log t}{1+t} d t \)
Then \( F(e) \) is equal to?
\( A \)
B. 2
\( c \cdot 1 / 2 \)
\( D \)
| 2 |
Maths
|
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