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Rosenmund reduction is used for
the preparation of
A. carboxylic acid
B. aldehydes
c. esters
D. alcohols
| 1 |
Chemistry
|
Which of the following molecules has the smallest dissociation energy?
A \( \cdot L i_{2} \)
в. \( N a_{2} \)
c. \( K_{2} \)
D. \( C s_{2} \)
| 1 |
Chemistry
|
If \( \boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{- 2} & \mathbf{3} \\ -\mathbf{4} & \mathbf{2} & \mathbf{5}\end{array}\right] \) and \( \boldsymbol{B}=\left[\begin{array}{cc}\mathbf{2} & \mathbf{3} \\ \mathbf{4} & \mathbf{5} \\ \mathbf{2} & \mathbf{1}\end{array}\right] \)
Check commutativity of the two matrices
| 2 |
Maths
|
What is common to the following? Motion of the propeller of a flying helicopter, the minute hand of a watch,
the tape of cassette recorder.
A. All are example of translatory motion
B. All are examples of oscillatory motion
c. All are examples of rotatory motion
D. All are examples of periodic motion
| 3 |
Physics
|
Two distinct chords drawn from the
point \( (p, q) \) on the circle \( x^{2}+y^{2}= \)
\( p x+q y \) are bisected at the \( x \) -axis.
Then
A \( \cdot|p|=|q| \)
B \( \cdot p^{2}=8 q^{2} \)
\( \mathbf{c} \cdot p^{2}<8 q^{2} \)
D \( \cdot p^{2}>8 q^{2} \)
| 2 |
Maths
|
The \( I U P A C \) name for the complex
\( \left[\mathrm{Co}\left(\mathrm{NO}_{2}\right)\left(\mathrm{NH}_{3}\right)_{5}\right] \mathrm{Cl}_{2} \) is:
A. pentaamminenitrito-N-cobalt(III) chloride
B. nitrito-N-pentaamminecobalt(III) chloride
C . pentaamminenitrito-N-cobalt(II) chloride
D. pentaamminenitrito-N-cobalt(I) chloride
| 1 |
Chemistry
|
The first remarkable human fossil was
that of H.habilis/H. africanus.
| 0 |
Biology
|
What are hydrocarbons? Give one
example.
| 1 |
Chemistry
|
Find the number of terms in each of the
following AP's
\( 7,13,19, \dots 205 \)
A. 20 terms
B. 28 terms
c. 34 terms
D. 40 terms
| 2 |
Maths
|
If \( p^{2}-6 p+7 \) is divided by \( (p-1) \) the
remainder will be
A. positive
B. zero
c. negative
D. none of these
| 2 |
Maths
|
Why has it been difficult to study the
chemistry of radon?
| 1 |
Chemistry
|
The minimum number of carbon atoms
an alkane should contain in order to
exhibit optical activity is :
A. 5
B. 6
\( c \cdot 7 \)
D. 8
| 1 |
Chemistry
|
In Earthworm, cocoon is formed by
A. Epidermal muscles
B. Setae
c. cuticle
D. Clitellum
| 0 |
Biology
|
A rectangular coil of 200 turns and area
\( 100 \mathrm{cm}^{2} \) is kept perpendicular to a
uniform magnetic field of induction
\( 0.25 T . \) If the field is reversed
in direction in 0.01 second, the average induced emf in the coil is :
A \( \cdot 10^{6} V \)
B . \( 10^{4} V \)
\( \mathbf{c} \cdot 10^{2} V \)
D. zero
| 3 |
Physics
|
\( \boldsymbol{R}-\boldsymbol{O H} \stackrel{\boldsymbol{P B r}_{3}}{\boldsymbol{A}} \)
\( \boldsymbol{B} \frac{\text {Grignard reaction}}{\boldsymbol{C H}_{2}-\boldsymbol{C H}_{2}-\boldsymbol{O}} \boldsymbol{C} \stackrel{\boldsymbol{H}^{+} / \boldsymbol{H}_{2} \boldsymbol{O}}{\boldsymbol{N}} \boldsymbol{D} \)
What are \( A, B, C \) and \( D \) are
respectively?
\( \mathbf{A} \cdot R-B r, R-M g-B r, R-C H_{2}-O-M g-B r, R- \)
\( C H_{2} C H_{2}-O H \)
B . \( R-B r, R-M g-B r, R-C H_{2}-O-C H_{2}-M g- \)
\( B r, R-C H_{2} C H_{2}-O H \)
c. \( R-B r, R-M g-B r, R-C H_{2}-C H_{2}-O-M g- \)
\( B r, R-C H_{2} C H_{2}-O H \)
D. \( R-B r, R-M g-B r, R-C H_{2}-C H_{2}-O-M g- \)
\( B r, R-C H_{2} O H \)
| 1 |
Chemistry
|
Assertion
In a terrestrial ecosystem, detritus food chain is a major conduit for energy flow.
Reason
Solar energy is direct source of energy
supply in detritus food chain.
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
|
If \( \frac{\mathbf{3} \boldsymbol{x}+\mathbf{4}}{\boldsymbol{x}^{2}-\mathbf{3} \boldsymbol{x}+\mathbf{2}}=\frac{\boldsymbol{A}}{\boldsymbol{x}-\mathbf{2}}-\frac{\boldsymbol{B}}{\boldsymbol{x}-\mathbf{1}}, \) then
\( (A, B)= \)
A. (7,10)
()
B. (10,7)
c. (10,-7)
D. (-10,7)
| 2 |
Maths
|
Suppose, the acceleration due ot gravity
at the earth's surface is \( 10 m s^{-2} \) and at
the surface of Mars it is \( 4.0 m s^{-2} . A 60 \)
kg passenger goes from the Earth to the
Mars in a spaceship moving with a
constant velocity. Neglect all other
objects in the sky. Which part of figure
bests represents the weight (net
gravitational force) of the passenger as
a function of time?
\( \mathbf{A} \cdot A \)
B. \( B \)
\( c \cdot C \)
\( D . D \)
| 3 |
Physics
|
In a cricket match, a batswoman hits a
boundary 6 times out of 30 balls she plays. Find the probability that she did not hit a boundary.
| 2 |
Maths
|
How are the following compounds
prepared? Benzaldehyde from benzene.
| 1 |
Chemistry
|
Bernoulli's principle is based on the law of conservation of :
A. Mass
B. Momentum
c. Energy
D. None of these
| 3 |
Physics
|
Consider the reaction:
\( \mathbf{4} N \boldsymbol{O}_{2(\boldsymbol{g})}+\boldsymbol{O}_{2(\boldsymbol{g})} \rightarrow \mathbf{2} \boldsymbol{N}_{\mathbf{2}} \boldsymbol{O}_{\boldsymbol{5}}(\boldsymbol{g}) ; \quad \boldsymbol{\Delta}_{\boldsymbol{r}} \boldsymbol{H}= \)
\( -111 k J \)
If \( N_{2} O_{5(s)} \) is formed instead of \( N_{2} O_{5}(g) \)
in the above reaction, then \( \Delta_{r} H \) value
will be:
[Given, \( \Delta \boldsymbol{H} \) of sublimation for \( \boldsymbol{N}_{\mathbf{2}} \boldsymbol{O}_{\mathbf{5}} \) is
\( \left.\mathbf{5 4} k J m o l^{-1}\right] \)
A \( .+54 k J \)
B . \( +219 k J \)
c. \( -219 k J \)
D. \( -165 k J \)
| 1 |
Chemistry
|
Let the opposite angular points of a square be (3,4) and \( (1,-1) . \) Find the coordinates of the remaining angular points.
| 2 |
Maths
|
\( A, B, C \) are three sets such that \( \boldsymbol{n}(\boldsymbol{A})=\boldsymbol{2}, \boldsymbol{n}(\boldsymbol{B})=\boldsymbol{3}, \boldsymbol{n}(\boldsymbol{C})=\boldsymbol{4}, \) If \( \boldsymbol{P}(\boldsymbol{x}) \)
denotes power set of \( \boldsymbol{X}, \boldsymbol{k}= \) \( \frac{\boldsymbol{n}(\boldsymbol{P}(\boldsymbol{P}(\boldsymbol{C})))}{\boldsymbol{n}(\boldsymbol{P}(\boldsymbol{P}(\boldsymbol{A}))) \times \boldsymbol{n}(\boldsymbol{P}(\boldsymbol{P}(\boldsymbol{B})))} \).then find
the Sum of digits of \( k \)
| 2 |
Maths
|
An orbital with \( l=0 \) is Symmetrical
about the :
A. \( x- \) axisonly
B. \( y- \) axisonly
c. \( z- \) axisonly
D. nucleus
| 1 |
Chemistry
|
Assertion
When a gun is fired, the bullet moves forward (action). The gun recoils backward (reaction)
Reason
Driving a nail into a wooden block without holding the block is difficult.
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
| 3 |
Physics
|
As a body moves from the equator to the poles, the value of \( g \) experienced by the body
A . decreases
B. increases
c. remains unchanged
D. first decreases then increases
| 3 |
Physics
|
Solve: \( \boldsymbol{x}^{2} \boldsymbol{d} \boldsymbol{y}+\boldsymbol{y}(\boldsymbol{x}+\boldsymbol{y}) \boldsymbol{d} \boldsymbol{x}=\mathbf{0} \)
A \( \cdot y-2 x=k x^{2} y \)
B . \( y+2 x=k x^{2} y \)
c. \( 2 y+x=k x y^{2} \)
D. \( 2 y-x=k x y^{2} \)
| 2 |
Maths
|
\( C u^{+}(a q) \) is unstable in solution and
undergoes simultaneous oxidation and
reduction, according to the reaction \( \mathbf{2} C u^{+}(\boldsymbol{a} \boldsymbol{q}) \rightleftharpoons \boldsymbol{C} \boldsymbol{u}^{2+}(\boldsymbol{a} \boldsymbol{q})+\boldsymbol{C u}(s) \)
Choose correct \( E \) for above reaction if
\( \boldsymbol{E}_{C u^{2+} / C u}=\mathbf{0 . 3 4} \boldsymbol{V} \) and \( \boldsymbol{E}_{c u^{2+} / \boldsymbol{C u}^{+}}= \)
\( \mathbf{0 . 1 5} \boldsymbol{V} \)
A. \( -0.38 V \)
в. \( +0.49 V \)
\( \mathrm{c} \ldots+0.38 \mathrm{V} \)
D. - \( 0.19 V \)
| 1 |
Chemistry
|
(a) Three point charges \( q,-4 q \) and \( 2 q \) are placed at the vertices of an
equilateral triangle \( A B C \) of side \( ^{\prime} l^{\prime} \) as
shown in the figure. Obtain the expression for the magnitude of the resultant electric force acting on the
charge \( \boldsymbol{q} \)
(b) Find out the amount of the work done to separate the charges at infinite
distance.
| 3 |
Physics
|
Ozone belongs to which groups of the periodic table?
A. IV
B.
\( c \cdot v \)
D. vı
| 1 |
Chemistry
|
If the variance of the series of the form
\( 5 x_{1}+7 \) is 225
then standard deviation of the series of
the form
\( 7 x_{1}+5 \) is
A .21
B. 44
c. 484
D. 22
| 2 |
Maths
|
The resistance of a bulb filament is
\( 100 \Omega \) at a temperature of \( 100^{\circ} \mathrm{C} \). If its temperature coefficient of resistance
be 0.005 per \( ^{o} C, \) its resistance will
become \( 200 \Omega \) at a temperature of :
\( \mathbf{A} \cdot 200^{\circ} C \)
B. \( 300^{\circ} \mathrm{C} \)
c. \( 400^{\circ} \mathrm{C} \)
D. \( 500^{\circ} \mathrm{C} \)
| 3 |
Physics
|
The marks secured by 400 students in a Mathematics test were normally distributed with mean \( 65 . \) If 120
students got marks above 85 , the number of students securing marks between 45 and 65 is
A . 120
B . 20
c. 80
D. 160
| 2 |
Maths
|
Make n the subject of formula:
\( N=90\left(2-\frac{4}{n}\right) \) Find \( n, \) if \( N=108 \)
A \( \cdot n=\frac{360}{180+N} ; n=4 \)
в. \( n=\frac{180}{180-N} ; n=3 \)
c. \( n=\frac{360}{180-N} ; n=5 \)
D. none of the above
| 2 |
Maths
|
Solve:
\( \lim _{\boldsymbol{\theta} \rightarrow \boldsymbol{\pi}} \frac{\boldsymbol{\pi}-\boldsymbol{\theta}}{\sqrt{\cos \theta+1}} \)
| 2 |
Maths
|
The dry cell of E.M.F \( 12 V \), is connected
in series to a \( 3 \Omega \) and a \( 6 \Omega \) resistor
Calculate the total power supplied by
the dry cell.
\( \mathbf{A} .9 W \)
B. \( 72 \mathrm{W} \)
c. \( 16 W \)
D. \( 2 W \)
| 3 |
Physics
|
\( \int \frac{\boldsymbol{d} \boldsymbol{x}}{(\sqrt{\mathbf{1}+\boldsymbol{x}^{2}}-\boldsymbol{x})^{n}}(\boldsymbol{n} \neq \pm \mathbf{1})= \)
\( \frac{1}{2}\left(\frac{z^{n+1}}{n+1}+\frac{z^{n-1}}{n-1}\right)+O \)
where
A. \( z=x-\sqrt{1+x^{2}} \)
B. \( z=\sqrt{1+x^{2}}-x \)
c. \( z=x+\sqrt{1+x^{2}} \)
D. \( z=x-\sqrt{1-x^{2}} \)
| 2 |
Maths
|
In which of the following, the growing point ends in a flower?
A. Raceme
B. Verticillaster
c. catkin
D. Spike
| 0 |
Biology
|
In the equation \( y=A \sin (\omega-K x) \)
obtain the dimensional formula of \( \omega \)
and K.Given \( x \) is distance and \( t \) is time.
| 3 |
Physics
|
What are Forward and Reverse bias
conditions of a Diode?
| 3 |
Physics
|
A 10 watt electric heater is used to heat
a container filled with 0.5 kg of water. It
is found that the temperature of water
and the container rises by \( 3^{\circ} \mathrm{K} \) in 15 minutes. The contain \( r \) is then emptied,
dried and filled with 2 kg of oil. The same heater now raises the
temperature of container-oil system by \( 2^{o} \mathrm{K} \) in 20 minutes. Assuming that there is no heat loss in the process and the specific heat of water as 4200 \( J k g^{-1} K^{-1}, \) the specific heat of oil in the same unit is equal to
A \( \cdot 1.50 \times 10^{3} \)
B. \( 2.55 \times 10^{3} \)
c. \( 3.00 \times 10^{3} \)
D. \( 5.10 \times 10^{3} \)
| 3 |
Physics
|
State True or False :
Convection is not possible in vacuum.
A. True
B. False
| 3 |
Physics
|
\( \lim _{x \rightarrow 3} x^{2}-3 x+1 \)
| 2 |
Maths
|
Assertion
Kepler's second law can be understood by conservation of angular momentum principle.
Reason
Kepler's second law is related with areal
velocity which can further be proved to
be based on conservation of angular
momentum as \( (\boldsymbol{d A} / \boldsymbol{d t})=\left(\boldsymbol{r}^{2} \boldsymbol{\omega}\right) / 2 \)
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
| 3 |
Physics
|
Two isomers \( (\boldsymbol{I} \boldsymbol{V}) \) and \( (\boldsymbol{V}) \) on
monochlorination give four products.
The isomers \( (\boldsymbol{I} \boldsymbol{V}) \) and \( (\boldsymbol{V}) \) are:
\( \mathbf{A} \)
B.
\( c \)
and
D.
| 1 |
Chemistry
|
Acetaldehyde on reaction with Grignard reagent and subsequent hydrolysis yields:
A. tertiary alcohol
B. primary alcohol
c. secondary alcohol
D. both primary and secondary alcohol
| 1 |
Chemistry
|
For the given cell \( \boldsymbol{P t}_{D_{2} \mid D^{+}} \| \boldsymbol{H}^{+}|\boldsymbol{P t}| \boldsymbol{H}_{2} \)
if \( \boldsymbol{E}_{D_{2} \mid D^{\oplus}=0.003 V}^{\ominus}, \) what will be the ratio of \( D^{\oplus} \) and \( H^{\oplus} \) at \( 25^{\circ} C \) when he
reaction: \( D_{2}+2 H^{\oplus} \rightarrow 2 D^{\oplus}+H_{2} \)
attains equilibrium:
A .1 .34
B . 1.24
c. 1.124
D. 1.45
| 1 |
Chemistry
|
Find the principal value of \( \sec ^{-1}\left(\frac{2}{\sqrt{3}}\right) \)
| 2 |
Maths
|
The value of \( \sqrt{99} \times \sqrt{396} \) is :
A .208
в. 198
\( c \cdot 254 \)
D. None of these
| 2 |
Maths
|
What is free fall?
A. It is the acceleration experienced due to gravity only.
B. When an object falls under the effect of gravity alone.
C. Both A and B
D. Neither A nor B
| 3 |
Physics
|
Measures of opposite angles of
parallelogram are \( (3 x-2)^{\circ} \) and \( (50- \)
\( x)^{\circ} . \) Find the measure of its other
angles.
A . 143
в. 153
\( c \cdot 163 \)
D. 173
| 2 |
Maths
|
Assertion
Gauss law holds good only to those
closed surfaces which is enclosing non-
zero electric charge.
Reason
The electric flux through a closed surface is unaltered due to the
presence of outside charge.
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
|
An aqueous solution of hydrogen sulphide and sulphur dioxide when mixed together yield:
A. sulphur and water
B. hydrogen peroxideand sulphur
c. sulphur trioxide and water
D. hydrogen and sulphurous acid
| 1 |
Chemistry
|
How much blood is pumped to the brain in 1 minute?
A. \( 450 \mathrm{ml} \)
B. 750 m1
\( c \cdot 1000 \mathrm{m} \)
D. 2500 ml
| 0 |
Biology
|
For uranium nucleus how does its mass
vary with volume?
\( A \cdot m \propto V \)
B. \( m \propto 1 \) IN
\( c \cdot m \propto \)
\( D \cdot m \propto V^{2} \)
| 3 |
Physics
|
Charges +50,+20,+30 and -100 nano coulomb are placed at the four corners of a square of side \( 5 \sqrt{2} \mathrm{cm} . \) The potential at
the intersection of diagonals is :
A \( \cdot 1.8 \sqrt{2} \times 10^{4} V \)
\( V \)
B. \( 3.6 \times 10^{4} V \)
c. \( 1.8 \times 10^{4} V \)
D. Zero
| 3 |
Physics
|
If the primitive of \( \frac{x^{5}+x^{4}-8}{x^{3}-4 x} \) is \( \frac{x^{3}}{3}+ \) \( \frac{\boldsymbol{x}^{2}}{2}+\boldsymbol{A} \boldsymbol{x}+|\log \boldsymbol{f}(\boldsymbol{x})|+C \) then
This question has multiple correct options
\( \mathbf{A} \cdot A=1 \)
\( \mathbf{B} \cdot A=4 \)
\( \mathbf{C} \cdot f(x)=x^{2}(x-2)^{5}(x+2)^{-3} \)
D. \( f(x)=x^{2}(x-2)^{3}(x+2)^{-2} \)
| 2 |
Maths
|
State whether following statements are
true or false
Statement-1: The only circle having
radius \( \sqrt{10} \) and a diameter along line
\( 2 x+y=5 \) is \( x^{2}+y^{2}-6 x+2 y=0 \)
Statement-2: The line \( 2 x+y=5 \) is a
normal to the circle \( x^{2}+y^{2}-6 x+ \)
\( 2 y=0 \)
A. Statement- 1 is false, statement- 2 is true.
B. Statement-1 is true,statement-2 is true and statement 2 is NOT the correct explanation for statement-1.
c. Statement-1 is true, statement-2 is false.
D. Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-
| 2 |
Maths
|
Why is CNG a cleaner fuel?
A. No particulate emission
B. Releases very less amounts of sulphur and nitrogen oxides
C. No emission of ash
D. All of the above
| 1 |
Chemistry
|
What is the correct structure of \( 1,2- \)
Dichloropropane?
A. \( C H_{3}-C H C l-C H C l_{2} \)
в. \( C H_{3}-C H C l-C H_{2} C l \)
\( \mathrm{c} \cdot C H_{3}-C C l_{2}-C H_{3} \)
D. \( C H_{3}-C H_{2}-C H C l_{2} \)
| 1 |
Chemistry
|
Find the sum the infinite G.P.:
\( \frac{2}{3}-\frac{4}{9}+\frac{8}{27}-\frac{16}{21}+\dots \dots \)
A \( \cdot \frac{2}{5} \)
B. \( \frac{3}{5} \)
c. \( \frac{19}{27} \)
D. 8
| 2 |
Maths
|
An electric dipole consists of two opposite charges each of magnitude
\( 1.6 \times 10^{-19} \) coulomb at separation
1 Armstrong. The diploe moment is:
A \( \cdot 1.6 \times 10^{-19} c-m \)
В. \( 1.6 \times 10^{-29} c-m \)
c. \( 3.2 \times 10^{-29} c-m \)
D. \( 3.2 \times 10^{-19} \mathrm{C}-\mathrm{m} \)
| 3 |
Physics
|
In the figure 0 is the centre of the circle. The tangents at \( \mathrm{B} \) and \( \mathrm{D} \) intersect each other at point P. If AB is parallel to CD and \( \angle A B C=55^{\circ} \) Find (i) \( \angle B O D \) (ii)
\( \angle B P D \)
| 2 |
Maths
|
The common impurity present in
bauxite is:
\( \mathbf{A} \cdot F e_{2} O_{3} \)
в. \( A l_{2} O_{3} . H_{2} O \)
c. \( A l C l_{3} . A I_{2} O_{3} \)
D. \( M g C l_{2} . C a C l_{2} \)
| 1 |
Chemistry
|
Show that the expression of the time period \( T \) of a simple pendulum of length
\( l \) given by \( T=2 \pi \sqrt{\frac{l}{g}} \) is dimensionally
correct.
A. As in the above equation, the dimensions of both sides are same. The given formula is dimensionally correct
B. The dimension of LHS and RHS are not same
c. It cannot be solved
D. None of these
| 3 |
Physics
|
How many employees get to work in less
than 60 minutes?
A . 10
B. 5
\( c .15 \)
D. 20
| 2 |
Maths
|
Which oxyacid of sulphur contains \( \boldsymbol{S}- \)
\( \boldsymbol{S} \) single bond?
A. Oleum
B. Marshall's acid
c. Dithionic acid
D. Thisolphuric acid
| 1 |
Chemistry
|
In a circular current-carrying conductor,
if the current flows in the clockwise
direction, the magnetic field direction
is
A. Parallel to the coil towards the observer
B. Perpendicular to the plane of the coil away from the observer
C. Perpendicular to the plane of the coil towards the observer
D. Parallel to the plane of the coil away from the observer
| 3 |
Physics
|
Phenol in presence of sodium hydroxide reacts with chloroform to form
salicyladehyde. The reaction is known
as:
A. Kolbe's reaction
B. Reimer-Tiemann reaction
c. stephen reaction
D. Etard reaction
| 1 |
Chemistry
|
Cloud or fog is a colloidal system in which the dispersed phase and the dispersion medium are:
A. gas, liquid
B. liquid, gas
c. liquid, liquid
D. solid, solid
| 1 |
Chemistry
|
If \( \sin ^{2} \theta+5 \cos ^{2} \theta=4, \) then find \( \theta \) and
hence prove that \( \sec \theta+\operatorname{cosec} \theta=2+ \)
\( \frac{2}{\sqrt{3}} \)
| 2 |
Maths
|
In deriving the speed of sound in air, Newton assumed that the wave travels
in
A. Adiabatic condition
B. Isothermal condition
c. Isobaric condition
D. Isoclinic condition
| 3 |
Physics
|
Ten rational numbers between \( \frac{-2}{5} \) and \( \frac{1}{2} \)
\( \operatorname{are} \frac{-7}{20}, \frac{-6}{20}, \frac{-5}{20}, \frac{-4}{20}, \frac{-3}{20}, \frac{-2}{20}, \frac{-1}{20}, 0 \ldots, \frac{1}{20}, \frac{2}{20} \)
If true then enter 1 and if false then
enter \( \mathbf{0} \)
| 2 |
Maths
|
\( P Q R S \) is a parallelogram. From the
information given in the figure, find the
values of \( x \) and \( y \)
| 2 |
Maths
|
Figure shows an Amperian path
\( A B C D A \). Part \( A B C \) is in verical plane
PSTU while part \( C D A \) is in horizontal
plane \( P Q R S \). Direction of circulation along the path is shown by an arrow
near point \( B \) and \( D \) \( \oint \vec{B} \cdot d \vec{l} \) for this path according to
Ampere's law will be:
\( \mathbf{A} \cdot\left(I_{1}-I_{2}+I_{3}\right) \mu_{0} \)
B・ \( \left(-I_{1}+I_{2}\right) \mu_{0} \)
\( \mathrm{c} \cdot I_{3} \mu_{0} \)
\( \mathbf{D} \cdot\left(I_{1}+I_{2}\right) \mu_{0} \)
| 3 |
Physics
|
Differentiate w.r.t \( \boldsymbol{x} \)
\( e^{x} \cos ^{3} x \sin ^{2} x \)
| 2 |
Maths
|
By the principle of interference, condition for constructive
interference in terms of the path
difference?
A \( \cdot n^{-1} \lambda \)
B. \( n \lambda \)
c. \( n \lambda^{2} \)
\( \mathbf{D} \cdot n \lambda^{4} \)
| 3 |
Physics
|
Select the odd one out w.r.t. the type of reflection of incident light (wood, steel, silver, mirror, graphite)
A. mirror
B. woodd
c. silver
D. steel
| 3 |
Physics
|
\( \ln \) a \( H_{2}-O_{2} \) fuel cell. \( 6.72 L \) of
hydrogen at NTP reacts in 15 minutes, the average current produced in amperes is:
A. 64.3 amp
B. 643.3 amp
c. 6.43 amp
D. 0.643 amp
| 1 |
Chemistry
|
f a heterozygous tall pea plant is selfpollinated, what will be the heterozygous: homozygous proportion of the progenies?
A . 1: 3
B. 1:
\( c .3: \)
D. 1: 2
| 0 |
Biology
|
The most significant sources of water
pollution
A. waste water from domestic and industrial processes
B. agricultural process
c. oil spillage
D. all of the above
| 1 |
Chemistry
|
How many electron will constitute \( 32 \mathrm{C} \)
of charge?
A \( .2 \times 10^{19} \)
B . \( 2 \times 10^{18} \)
\( \mathrm{c} \cdot 2 \times 10^{17} \)
D. \( 2 \times 10^{20} \)
| 3 |
Physics
|
Die \( A \) has 4 red and 2 white faces
whereas die \( B \) has 2 red and 4 white
faces. A coin is flipped once. If it shows a head, the game continues by throwing die \( A, \) if it shows tail, then die \( B \) is to be
used. If the probability that die \( A \) is used is \( \frac{64}{66} \) where it is given that red turns up every time in first \( n \) throws,
then \( n \) is
| 2 |
Maths
|
Fill in the blanks with approriate words. Elements required by plants in relatively large amounts are ........... and in very small amounts are
| 0 |
Biology
|
The atomic number of three elements
\( A, B \) and \( C \) are \( a, a+1 \) and \( a+2 \)
respectively. If \( C \) is an alkali metal, then
the nature of bonding in the compound of \( A \) and \( C \) is
A. co-ordinate
B. covalent
c. ionic
D. metallic
| 1 |
Chemistry
|
Presence of magnesium chloride in water makes it temporary hard.
A. True
B. False
| 1 |
Chemistry
|
What we say when a body remains in one position for a long time?
A. Motion
B. Rest
c. Stationary
D. None of the above
| 3 |
Physics
|
Nomenclature is governed by certain universal rules.Which one of the
following is contrary to the rules of
nomenclature?
A. Biological names can be written in any language.
B. The first word in a biological name represents the genus name and the second is a specific epithet
C. The names are written in Latin and are italicised.
D. When written by hand, the names are to be underlined.
| 0 |
Biology
|
Laboratory thermometers have a range
of \( -10^{\circ} C \) to \( \$ \$ \)
\( \$ \$^{\circ} \mathrm{C} \)
| 3 |
Physics
|
In a process the pressure of a gas remains constant. If the temperature is doubled, then the change in the volume will be
A . 100\%
B . 200\%
c. 50\%
D. 25\%
| 3 |
Physics
|
Choose the correct answer from the
allternatives given. What is the name of the structures
which help the mandibles and function as accessory jaws?
A. Maxillae
B. Galea
c. Lacinia
D. Labial palp
| 0 |
Biology
|
Carbon dioxide is used in the
production of three carbon sugar by which of the following method?
A. Photosystem-I
B. Photosystem-II
c. Electron transport chain
D. Calvin cycle
E . citric acid cycle
| 0 |
Biology
|
The value of universal gravitational
constant \( G \) is-
A. \( 6.67 \times 10^{-11} \frac{N m^{2}}{k g} \)
в. \( 6.67 \times 10^{-11} \frac{N m^{2}}{k g^{2}} \)
c. \( 66.7 \times 10^{-11} \frac{N m^{2}}{k g^{2}} \)
D. \( _{66.7} \times 10^{-11} \frac{N m^{2}}{k g} \)
| 3 |
Physics
|
Which of the following is an important source of light for us?
A. sun
B. Stars
c. Jupiter
D. Venus
| 3 |
Physics
|
If the vectors \( 2 \vec{a}-\vec{b}+\vec{c}, \vec{a}+2 \vec{b}- \)
\( \overrightarrow{3} c, 3 \vec{a}+m \vec{b}+5 \vec{c} \) are linearly
dependent, then \( \boldsymbol{m}= \)
\( A \cdot 2 \)
B. -
\( c \cdot 4 \)
D. -4
| 2 |
Maths
|
Circles are drawn on chords of the
rectangular hyperbola \( \boldsymbol{x} \boldsymbol{y}=\mathbf{4} \) parallel to the line \( y=x \) as diameters.All such
circles pass through two fixed points whose coordinates are
This question has multiple correct options
\( \mathbf{A} \cdot(2,2) \)
B \( \cdot(2,-2) \)
c. (-2,2)
D. (-2,-2)
| 2 |
Maths
|
\( P \) and \( Q \) are the mid points of the sides
\( C A \) and \( C B \) respectively of a triangle
\( A B C, \) right angled at \( C . \) Then, find the
value of \( 4\left(A Q^{2}+B P^{2}\right) \)
\( A \cdot 5 A B^{2} \)
B . \( 3 A B^{2} \).
c. \( 2 A B^{2} \)
\( \mathrm{D} \cdot 4 A B^{2} \)
| 2 |
Maths
|
\( f\left(\begin{array}{ccc}-1 & -3 & -3 \\ 3 & 1 & -3 \\ 3 & -3 & 1\end{array}\right] \) then adj \( (A) \) is
A.
\[
=4\left[\begin{array}{ccc}-2 & 3 & 3 \\ -3 & 2 & -3 \\ -3 & 3 & 2\end{array}\right]
\]
B. \( \quad\left[\begin{array}{ccc}-2 & 3 & 3 \\ 3 & 2 & -3 \\ -3 & -3 & 2\end{array}\right] \)
C.
\[
=4\left[\begin{array}{ccc}-2 & -3 & 3 \\ -3 & 2 & -3 \\ -3 & -3 & 2\end{array}\right]
\]
D.
\[
=4\left[\begin{array}{ccc}-2 & 3 & 3 \\ -3 & 2 & -3 \\ -3 & -3 & 2\end{array}\right]
\]
| 2 |
Maths
|
A calcite crystal is placed over a dot on
a piece of paper and rotated. On seeing through the calcite, one will see :
A. one dot
B. Two stationary dots
c. Two rotating dots
D. One dot rotating about the other
| 3 |
Physics
|
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