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A piano-convex lens (refractive index \( \mu_{1} \)
fits exactly into a piano-concave lens (refractive index \( \mu_{2} \) ). Their plane surfaces are parallel to each other. R is the radius of curvature of the curved
surface of the lenses, then focal length of the combination is:
A. \( \frac{R}{\mu_{1}-\mu_{2}} \)
в. \( \frac{2 R}{\mu_{2}-\mu_{1}} \)
c. \( \frac{R}{2\left(\mu_{1}-\mu_{2}\right)} \)
D. none of these
| 3 |
Physics
|
Given set of quantum numbers for a multi-electron atom is:
\( \boldsymbol{n} \)
\( l \) \( m \) \( s \)
2
\( \begin{array}{cc}0 & 0\end{array} \) \( +1 / 2 \)
2
\( -1 / 2 \)
What is the next higher allowed set of ' \( n \)
and 'l' quantum numbers for this atom
in the ground state?
A. \( n=2, l=0 \)
В. \( n=2, l=1 \)
c. \( n=3, l=0 \)
D. \( n=3, l=1 \)
| 1 |
Chemistry
|
The net magnetic flux through any closed surface, kept in a magnetic field is
A . zero
в. \( \frac{\mu_{0}}{4 \pi} \)
c. \( 4 \pi \mu_{0} \)
D. \( \frac{4 \mu_{0}}{\pi} \)
| 3 |
Physics
|
Mirror formula can also be written as:
A \( \cdot \frac{1}{2 v}+\frac{1}{2 u}=\frac{1}{2 f} \)
B. \( \frac{1}{v}+\frac{1}{u}=\frac{2}{R} \)
c. \( \frac{1}{v}+\frac{2}{u}=\frac{1}{f} \)
D. \( \frac{1}{2 v}+\frac{4}{u}=\frac{3}{R} \)
| 3 |
Physics
|
A piano wire \( 0.5 m \) long and mass \( 5 g m \)
is stretched by a tension of \( 400 N \). The
number of highest overtone that can be heard by a person is
A. 160
B. 99
\( c .140 \)
D. 120
| 3 |
Physics
|
For wave connected with proton, debroglie wavelength change by \( 0.25 \% \) if
its momentum change by \( P_{0} \) initial
momentum =
A. \( 100 P_{0} \)
в. \( \frac{P_{0}}{400} \)
c. \( 401 P_{0} \)
D. \( \frac{P_{0}}{100} \)
| 3 |
Physics
|
Assertion
The de-Broglie wavelength equation has significant for any microscopic and submicroscopic particles.
Reason
de-Broglie wavelength is inversely proportional tot he mass of the object, if its velocity is constant.
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
|
State whether the following statement is True or False
\( A=\{x \mid x \text { is a negative integer } ; x> \)
-5\} is a finite set.
A. True
B. False
| 2 |
Maths
|
The zero polynomial is the identity of the additive group of polynomials.
A. multiplicative
B. additive
c. multiplicative inverse
D. additive inverse
| 2 |
Maths
|
The reference calomel electrode is
made from which of the following?
A. \( Z n C l_{2} \)
в. \( C u S O_{4} \)
c. \( H g_{2} C l_{2} \)
D. \( H g C l_{2} \)
| 1 |
Chemistry
|
Explain the working of a half wave diode
rectifier.
| 3 |
Physics
|
The circuit given below is for the operation of an industrial fan. The resistance of the fan is 3 ohm. The
regulator provided with the fan is a
fixed resistor and a variable resistor in
parallel. Under what value of the variable resistance given, power transferred to the fans will be
maximum? The power source of the fan
is a dc source with internal resistance
of 6ohm
A . \( 3 \Omega \)
B.
\( c \cdot \alpha \)
D. 6.9
| 3 |
Physics
|
The potential difference across a \( 2 H \)
inductor as a function of time is shown
in figure. At time \( t=0, \) current is zero
Current at \( t=2 \) second is:
A . \( 1 A \)
в. 3 А
\( c \cdot 4 A \)
D. \( 5 A \)
| 3 |
Physics
|
IUPAC name of alizarin is
A. 2, 3 - dihydroxyphenanthraquinone
B. 1, 4-dihydroxyphenanthraquinone
c. 1,2 - dihydroxyphenanthraquione
D. 1,2- dihydroxyanthraquione
| 1 |
Chemistry
|
Solution of the equation \( \tan \left(\cos ^{-1} x\right)=\sin \left(\cot ^{-1} \frac{1}{2}\right) \)
A \( \cdot x=\pm \frac{\sqrt{7}}{3} \)
B. \( x=\pm \frac{\sqrt{5}}{3} \)
c. \( x=\pm \frac{3 \sqrt{5}}{2} \)
D. None of these
| 2 |
Maths
|
A particle is located at \( (3 m, 4 m) \) and moving with \( \overrightarrow{\boldsymbol{v}}=(4 \hat{\boldsymbol{i}}-\boldsymbol{3} \hat{\boldsymbol{j}}) \boldsymbol{m} / \boldsymbol{s} . \) Find
its magnitude of angular velocity about origin at this instant in rad/sec
| 3 |
Physics
|
Which of the following is represented by the area enclosed by a hysteresis loop
(B-H curve)?
A. Permeability
B. Retentivity
c. Heat energy lost per unit volume in the sample
D. susceptibility
| 3 |
Physics
|
Crosses represent uniform magnetic
field directed into the paper. A conductor XY moves in the field towards
right side. Find the direction of induced
current in the conductor. Name the rule
you applied. What will be the direction of current if the direction of field and
the direction of motion of the conductor
both are reversed?
| 3 |
Physics
|
Answer the following:
Name two carbon compounds used in day-to-day life.
| 1 |
Chemistry
|
Find the area of the triangle whose
vertices are (10,-6),(2,5) and (-1,3)
| 2 |
Maths
|
If given arrangement is moving towards left with speed \( v, \) then potential
difference between \( B \) and \( D \) and current
in the loop are respectively.
A. BvR and non-zero
B. 2BvR and zero
c. 4 Bv \( \operatorname{R} \) and non-zer
D. 4BvR and zero
| 3 |
Physics
|
\( 5 g \) of zinc is treated separately with an excess of
(a) dilute hydrochloric acid and
(b) aqueous sodium hydroxide.
The ratio of the volumes of \( \boldsymbol{H}_{2} \) evolved
in these two reactions is :
A . 1: 1
B . 2: 1
\( c \cdot 1: 4 \)
D. 1: 2
| 1 |
Chemistry
|
If \( \overrightarrow{\boldsymbol{u}}=\overrightarrow{\boldsymbol{a}}-\overrightarrow{\boldsymbol{b}} ; \overrightarrow{\boldsymbol{v}}=\overrightarrow{\boldsymbol{a}}+\overrightarrow{\boldsymbol{b}} \) and \( |\overrightarrow{\boldsymbol{a}}|=|\overrightarrow{\boldsymbol{b}}|= \)
2 then \( |\vec{u} \times \vec{v}| \) is equal to
\( \sqrt[A \cdot]{2\left(16-(\vec{a} \cdot \vec{b})^{2}\right)} \)
в. \( 2 \sqrt{\left(16-(\vec{a} . \vec{b})^{2}\right)} \)
\( ^{\mathrm{c}} \sqrt[2]{\left(4-(\vec{a} \cdot \vec{b})^{2}\right)} \)
D . \( \left[4-(\vec{a} . \vec{b})^{2}\right] \)
| 3 |
Physics
|
If the total charge stored in the LC
circuit is \( Q_{0}, \) then for \( t \geq 0 \)
A \( \cdot \) the charge on the capacitor is \( \mathrm{Q}=\mathrm{Q}_{0} \cos \left(\frac{\pi}{2}+\frac{\mathrm{t}}{\sqrt{\mathrm{LC}}}\right) \)
B. the charge on the capacitor is \( \mathrm{Q}=\mathrm{Q}_{0} \cos \left(\frac{\pi}{2}-\frac{\mathrm{t}}{\sqrt{\mathrm{LC}}}\right) \)
c. the charge on the capacitor is \( Q=-L C \frac{d^{2} Q}{d t^{2}} \)
D. the charge on the capacitor is \( \mathrm{Q}=-\frac{1 \mathrm{d}^{2} \mathrm{Q}}{\sqrt{\mathrm{LC}} \mathrm{d}^{2}} \)
| 3 |
Physics
|
Find the general solution of the equation \( \tan ^{2} \alpha+2 \sqrt{3} \tan \alpha=1 \)
| 2 |
Maths
|
The ratio in which the joint of
(2,1,5),(3,4,3) is divided by the plane \( 2 x+2 y-2 z-1=0 \)
\( \mathbf{A} \cdot 5: 12 \)
B. 12: 5
\( c .5: 7 \)
D. 7: 5
| 2 |
Maths
|
A fort is provisioned for 42 days. After 10 days, a reinforcement of 200 men
arrives and the food will now last only 24
days. How many men were there in the fort?
A .200
в. 600
\( c .500 \)
D. 300
| 2 |
Maths
|
Which of the following is pyrimidine
base?
A. Adenine
B. Guanine
c. Uracil
D. All the above
| 1 |
Chemistry
|
If a force of \( 200 N \) acts on a body. The
momentum acquired is \( 100 k g m / s \) What is the period for which force acts on the body?
A . \( 0.2 \sec \)
B. \( 0.5 \mathrm{sec} \)
c. \( 0.4 \mathrm{sec} \)
D. 0.25 sec
| 3 |
Physics
|
If \( A \) is the amplitude of the component waves, the resultant amplitude of two waves that interfere to produce destructive interference is
\( A \cdot 2 A \)
B. A
\( c \cdot 0 \)
D. - -
| 3 |
Physics
|
In a potentiometer experiment of a cell of emf \( 1.25 \mathrm{V} \) gives balancing length of \( 30 \mathrm{cm} . \) If the cell is replaced by another cell, balancing length is found to be 40
cm. What is the emf of second cell?
\( \mathbf{A} \cdot \simeq 1.57 V \)
\( \mathbf{B} \cdot \simeq 1.67 V \)
\( \mathbf{c} . \simeq 1.47 V \)
\( \mathbf{D} \cdot \simeq 1.37 V \)
| 3 |
Physics
|
The element having electronic configuration \( [\boldsymbol{K} \boldsymbol{r}] \boldsymbol{4} \boldsymbol{d}^{10} \boldsymbol{4} \boldsymbol{f}^{14} \boldsymbol{5} \boldsymbol{s}^{2} \boldsymbol{5} \boldsymbol{p}^{6} \boldsymbol{5} \boldsymbol{d}^{1} \boldsymbol{6} \boldsymbol{s}^{2} \) belongs to
A. s-block
B. p-block
c. d-block
D. f-block
| 1 |
Chemistry
|
Two sound sources produce progressive
waves given by \( y_{1}=12 \cos (100 \pi t) \) and
\( \boldsymbol{y}_{2}=4 \cos (102 \pi t) \) near the ear of an
observer. When sounded together, the observer will hear:
A. 2 beats per second with an intensity ratio of maximun to minimum nearly 4:
B. 1 beat per second with an intensity ratio of maximumm to minimum nearly \( \sqrt{2}: 1 \)
c. 2 beats per second with an intensity ratio of maximun to minimum nearly 9 :
D. 1 beat per second with an intensity ratio of maximumm to minimum nearly 4:
| 3 |
Physics
|
A conducting loop is pulled outward
with a constant speed.
The induced emf between the point \( A \) and B, just after the motion start is
| 3 |
Physics
|
Assertion
All combustion reactions are
exothermic.
Reason
Enthalpies of products are greater than enthalpies of reactants
\( \left(\sum \boldsymbol{v}_{\boldsymbol{p}} \boldsymbol{\Delta}_{f} \boldsymbol{H}(\boldsymbol{P})>\sum \boldsymbol{v}_{\boldsymbol{R}} \boldsymbol{\Delta}_{f} \boldsymbol{H}(\boldsymbol{R})\right) \)
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
|
Density of graphite is:
A \( .0 .5 g / c m^{3} \)
B. \( 2.266 g / c m^{3} \)
\( \mathbf{c} \cdot 1.08 g / \mathrm{cm}^{3} \)
D. none of the above
| 1 |
Chemistry
|
Bond pair of electrons in \( C-X \) bond is
nearer to:
\( \mathbf{A} \cdot X \)
в. \( C \)
c. equidistant
D. can't be predicted
| 1 |
Chemistry
|
Which one of the following is not a
correct statement?
A. Physical adsorption is reversible in nature.
B. Physical adsorption involves Van der Waals forces.
C. Rate of chemical adsorption increases with increase of temperature.
D. High activation energy is involved in chemical adsorption.
| 1 |
Chemistry
|
Proximal and distal convoluted tubules
are parts of a
A. Nephron
B. oviduct
c. vas deferens
D. Caecum
| 0 |
Biology
|
Assertion
The mass spectrometer is used for determination of the atomic mass of
isotopes.
Reason
Isotopes are the atoms of the same element having a same atomic number but different mass numbers
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
| 1 |
Chemistry
|
How Aniline is obtained from
Nitrobenzene?
| 1 |
Chemistry
|
If volume ratio of \( 0.02 M H C l \) and
\( 0.02 M B O H \) (a weak base) mixed to
make \( 200 \mathrm{mL} \) of buffer of \( p H=7 \) is
\( 2.23: X . \) The value of \( X \) is:
\( \boldsymbol{K}_{b} \) for \( \boldsymbol{B O H}=\mathbf{8 . 1} \times \mathbf{1 0}^{-\mathbf{8}} \)
\( A \)
B. 5
\( c \cdot 0.2 \)
D. 2.5
| 1 |
Chemistry
|
In the given figure \( A B C D E, E Y= \)
\( \boldsymbol{C Y}=\boldsymbol{4} \boldsymbol{c m}, \boldsymbol{A} \boldsymbol{X}=\boldsymbol{B} \boldsymbol{X}= \)
\( 6 c m, D E=D C=5 c m, D X=9 \mathrm{cm} \)
\( D X \) is perpendicular to \( E C \) and \( A B \)
Find the area of \( A B C D E \)
| 2 |
Maths
|
Which one of the following is mainly responsible for depletion of ozone layer?
A. Methane
B. Carbon dioxide
c. water
D. chlorofluorocarbon
| 0 |
Biology
|
What is the need for measurement of a
physics quantity?
| 3 |
Physics
|
Benzoylation of phenol in alkaline medium is known as
A. Friedel-craft's reaction
B. Wurtz-Fittig reaction
c. Schotten-Baumann reaction
D. Sabatier Senderens reduction
| 1 |
Chemistry
|
A cotton sheet is ironed with hot
electricity. How is energy transferred through the metal base of the iron to the
sheet?
A. by conduction only
B. by convection only
c. by radiation only
D. by convection and radiation only
| 3 |
Physics
|
Which of the following is a good sedative but not hypnotic?
This question has multiple correct options
\( A \cdot K B r \)
B. Asprin
c. Formalin
D. Dettol
| 1 |
Chemistry
|
A neutron, a proton, an electron and an
\( \boldsymbol{\alpha}- \) particle enter a region of uniform
magnetic field with the same velocities.
The magnetic field is perpendicular and
directed into the plane of the paper. The
tracks of the particles are labelled in
the figure. The electron follows the track
Q Magnetic field
\( A . D \)
B. \( B \)
\( c \cdot C \)
\( \mathbf{D} \cdot A \)
| 3 |
Physics
|
Let \( f(x) \) be a continuous function
defined for \( 1 \leq x \leq 3 \). If \( f(x) \) takes
rational values for all \( x \) and \( f(2)=10 \)
then the value of \( \boldsymbol{f}(\mathbf{1} . \mathbf{5}) \) is
A . 7.5
B. 10
\( c .5 \)
D. none of these
| 2 |
Maths
|
If \( f \) is an identity function then \( f(-5)= \)
\( A \cdot-5 \)
B. 1
\( c \cdot-1 \)
D. None of these
| 2 |
Maths
|
A person always prefers to eat parantha and vegetable dish in his meal. How
many ways can he make his plate in a marriage party if there are three types of paranthas, four types of vegetable dishes, three types of salads, and two types of sauces?
A . 3360
в. 4096
c. 3000
D. None of these
| 2 |
Maths
|
The equation of hyperbola whose coordinates of the foci are (±8,0) and
the lenght of latus rectum is 24 units, is
A \( \cdot 3 x^{2}-y^{2}=48 \)
в. \( 4 x^{2}-y^{2}=48 \)
c. \( x^{2}-3 y^{2}=48 \)
D. \( x^{2}-4 y^{2}=48 \)
| 2 |
Maths
|
Which of the following is an example of contact force?
This question has multiple correct options
A . Muscular force
B. Magnetic force
c. Gravitational force
D. Frictional force
| 3 |
Physics
|
A man of height \( \boldsymbol{H} \) is standing in front
of a mirror, which has been fixed on the
ground. What length of his body can the
man see in the mirror? The length of the mirror is \( \frac{\boldsymbol{H}}{\mathbf{2}} . \) (Neglect seperation between eyes and head of men)
\( \mathbf{A} \cdot H \)
B.
c. zero
D. \( \frac{2 H^{2}}{L} \)
| 3 |
Physics
|
How is Chlorine prepared by electrolyt method? Explain its reaction with:
(a) excess \( N H_{3} \)
(b) cold and dil. NaOH
(c) slaked lime
| 1 |
Chemistry
|
Find the next term of the sequence:
\( 2,5,8,11, \dots \dots \dots \)
A . 14
B . 15
c. 16
D. 18
| 2 |
Maths
|
1 a.m. \( u \) is equivalent to
\( \mathbf{A} \cdot 931 \mathrm{MeV} \)
В. \( 139 \mathrm{MeV} \)
\( \mathbf{c} .93 \mathrm{MeV} \)
D. \( 39 \mathrm{MeV} \)
| 3 |
Physics
|
An ellipse with foci (2,2),(3,-5)
passes through \( (6,-1), \) then its semilatus rectum is:
\( A \cdot \frac{7}{2} \)
в. \( \frac{5}{2} \)
\( c \cdot \frac{9}{2} \)
D. \( \frac{11}{2} \)
| 2 |
Maths
|
A conducting circular loop is placed in a uniform magnetic field \( B=0.020 T \)
with its plane perpendicular to the field. Somehow, the radius of the loop starts
shrinking at a constant rate of \( 1 \mathrm{mm} / \mathrm{s} \) Find the induced current in the loop at
an instant when the radius is \( 2 \mathrm{cm} \)
| 3 |
Physics
|
Two blocks \( A \) and \( B \) are connected by a
light inextensible string passing over a fixed smooth pulley as shown in Fig. The coefficient of friction between the block
A and B the horizontal table is \( \mu=0.5 \)
If the block \( A \) is just to slip, find the ratio of masses of the blocks.
| 3 |
Physics
|
Explain the term, target molecules or drug targets as used in medicinal chemistry.
| 1 |
Chemistry
|
Marbles, each of mass \( 1 \mathrm{g} \) are dropped from a height of \( 10 \mathrm{m} \) on to a horizontal
smooth metal surface at the rate of 50
per second. Find the force on the surface. If the surface were inclined to
the horizontal at an angle of \( 60^{\circ}, \) what would be force on it be? Assume
collisions to be elastic. \( g=9.8 m / s^{2} \)
A. \( 1.2 N ; 0.7 N \)
в. \( 1.4 N ; 0.5 N \)
c. \( 1.4 N ; 0.7 N \)
D. \( 0.4 N ; 0.4 N \)
| 3 |
Physics
|
gauss is equal to
\( \mathbf{A} \cdot 10^{4} T \)
B \( \cdot 10^{-4} T \)
\( \mathbf{c} \cdot 10^{3} T \)
D. none of these
| 3 |
Physics
|
Compute the area of the region bounded
by the curves \( y=\tan x \) and \( y= \) \( \tan ^{2}\left(\frac{-\pi}{2}<x<\frac{\pi}{2}\right) \)
| 2 |
Maths
|
In the caster-Kleiner cell used for the
manufacture of \( N a O H, \) the cathode in
the central compartment is made up of
A. carbon
B. iron
c. mercury
D. nickel
| 1 |
Chemistry
|
Which of the following is the most basic?
A \( \cdot C e(O H)_{3} \)
в. \( L u(O H)_{3} \)
\( \mathbf{c} \cdot Y b(O H)_{3} \)
D. \( A l(O H)_{3} \)
| 1 |
Chemistry
|
Why does the sun appear reddish early in the morning? Will this phenomenon be observed by an astronaut on the Moon? Give reason to justify your
answer
| 3 |
Physics
|
A uniform thin rod of mass \( m \) and
length \( l \) is standing on a smooth horizontal surface. A slight disturbance causes the lower end to slip on the
smooth surface and the rod starts
falling. Find the velocity of centre of mass of the rod at the instant when it
makes and angle \( \theta \) with horizontal.
| 3 |
Physics
|
A broadcasting centre broadcasts at 300 metre band. A capacitor of capacitance \( 2.5 \mu \mathrm{F} \) is available. The value of the inductance required for resonant circuit is nearly
A \( \cdot 1 \times 10^{-4} \mathrm{H} \)
В. \( 1 \times 10^{-8} \mathrm{H} \)
c. \( 1 \times 10^{-6} H \)
D. \( 1 \times 10^{-2} H \)
| 3 |
Physics
|
A pure resistance is connected as
shown in the figure. The phase difference between the voltage applied and the current flowing in it will be
A . zero
в. \( \frac{\pi}{2} \)
\( c \cdot-\frac{\pi}{2} \)
D. \( \frac{\pi}{4} \)
| 3 |
Physics
|
Which of the following is used in optical fibres?
A. Total internal reflection
B. Scattering
c. Diffraction
D. Refraction
| 3 |
Physics
|
Heating together of sodium ethoxide
and ethyl iodide will give:
A. ether
B. ethyl alcohol
c. acetaldehyde
D. acetic acid
| 1 |
Chemistry
|
Electronic configuration of \( M g^{+2} \) is
identical with?
A . Ne
B. Na a
c.
D.
| 1 |
Chemistry
|
What is the mistake in computation of \( \mathbf{1}=\sqrt{\mathbf{1}}=\sqrt{(-\mathbf{1})(-\mathbf{1})}=\sqrt{-\mathbf{1}} \times \)
\( \sqrt{-\mathbf{1}}=\boldsymbol{i} \times \boldsymbol{i}=-\mathbf{1} \)
| 2 |
Maths
|
The area enclosed between the curve
\( \boldsymbol{y}^{2}=\boldsymbol{x} \boldsymbol{a} \boldsymbol{n} \boldsymbol{d} \boldsymbol{y}=|\boldsymbol{x}| \) is
A \( \cdot \frac{1}{6} \)
в. \( \frac{1}{3} \)
\( c \cdot \frac{2}{3} \)
D. 1
| 2 |
Maths
|
In photoelectric effect, the momentum
of incident photon of energy \( 3 \times 10^{-19} J \)
is :
\( \mathbf{A} \cdot 9 \times 10^{11} \mathrm{kgms}^{-1} \)
B. zero
c. \( 10^{-27} \mathrm{kgms}^{-1} \)
D. \( 3 \times 10^{-11} \mathrm{kgms}^{-1} \)
| 3 |
Physics
|
The propagation of a sound wave in a gas is given by the equation \( \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{t}^{2}}=\frac{\boldsymbol{k}}{\boldsymbol{l}} \cdot \frac{\boldsymbol{d}^{2} \boldsymbol{y}}{\boldsymbol{d} \boldsymbol{x}^{2}} \)
Then the velocity of sound is given by
A \( \cdot \frac{k}{l} \)
в. \( \frac{l}{k} \)
c. \( \sqrt{\left(\frac{k}{l}\right)} \)
D. \( \sqrt{\left(\frac{l}{k}\right)} \)
| 3 |
Physics
|
The point (0,-2,5) lies on the
\( A \cdot z \) axis
B. x axis
c. xy plane
D. yz plane
E . xz plane
| 2 |
Maths
|
The orbital with zero orbital angular
momentum is :
A . s
B.
\( c \cdot d \)
\( D \)
| 1 |
Chemistry
|
Double-helical structure is found in
| 0 |
Biology
|
The longest wavelength doublet absorption transition is observed at 589
and \( 589.6 \mathrm{nm} \)
Calculate the frequency of each
transition and energy difference between two excited states.
| 1 |
Chemistry
|
Ahars, Kattas, Bhundhis and Khadins are the modes of
A. afforestation
B. deforestation
c. soil conservation
D. water harvesting
| 0 |
Biology
|
A free particle with initial kinetic energy \( \mathrm{E} \) and de-broglie wavelength \( \lambda \) enters a region in which it has potential energy U. What is the particle's new de-
Broglie wavelength?
A \( \cdot \lambda(1-U / E)^{-1 / 2} \)
в. \( \lambda(1-U / E) \)
c. \( \lambda(1-U / E)^{-1} \)
D. \( \lambda(1-U / E)^{1 / 2} \)
| 3 |
Physics
|
Assertion
Photodiode and solar cell work on same
mechanism.
Reason
Area is large for solar cell.
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
|
There are three copies each of four different books. The number of ways in
which they can be arranged in a shelf is
A \( \cdot \frac{12 !}{(3 !)^{4}} \)
в. \( \frac{12 !}{(4 !)^{3}} \)
c. \( \frac{12 !}{(3 !)^{4} 4 !} \)
D. \( \frac{12 !}{(4 !)^{3} 3 !} \)
| 2 |
Maths
|
The colour of Iymph is
\( \mathbf{A} \cdot \operatorname{Red} \)
B. Pale yellow
c. colourless
D. Milky
| 0 |
Biology
|
If \( r \) is non-real and \( r=\sqrt[5]{1}, \) then the
value of \( 2\left|1+r+r^{2}+r^{-2}-r^{-1}\right| \) is
equal to
| 2 |
Maths
|
Excess cholesterol is responsible for ulcers. If this is true enter 1 , if false enter 0 .
| 1 |
Chemistry
|
The diameter of the moon is
approximately one fourth of the diameter of the earth. Find the ratio of
their surface areas.
| 2 |
Maths
|
Let \( Z \) be the set of all integers and \( Z_{0} \) be
the set of all non-zero integers. Let a
relation \( \boldsymbol{R} \) on \( \boldsymbol{Z} \times \boldsymbol{Z}_{\mathbf{0}} \) be defined as
follows:
\( (a, b) R(c, d) \Leftrightarrow a d=b c \) for all
\( (a, b),(c, d) \in Z \times Z_{0} \)
Prove that \( R \) is an equivalence relation
on \( Z \times Z_{0} \)
| 2 |
Maths
|
Coal tar is used in manufacture of
A. synthetic dyes
B. drugs
c. explosives
D. all of these
| 1 |
Chemistry
|
Which of the following has the largest radius?
A \( . S r \)
в. \( P \)
c. \( M g \)
D. \( A l^{3} \)
E \( . M g^{2+} \)
| 1 |
Chemistry
|
Which of the following carbides produces propyne on reaction with water?
A. \( C a C_{2} \)
в. \( B e_{2} C \)
c. \( A l_{4} C_{3} \)
D. \( M g_{2} C_{3} \)
| 1 |
Chemistry
|
Which of the following is NOT soluble in
water?
A. Salt
B. Sugar
c. oxygen
D. None of these
| 1 |
Chemistry
|
In the circuit shown in figure, the diode
is ideal. The potential difference
between A and B is?
A. \( V / 4 \)
B.
c. zero
D. \( V / 2 \)
| 3 |
Physics
|
Study the bar graph and answer the questions. The graph shows the quantities of different crop production in different states of India.
What is the difference of the average
wheat produced by the two highest and the two lowest wheat producing states?
A. 50 tonnes
B. 85 tonnes
c. 75 tonnes
D. 100 tonne:
| 2 |
Maths
|
If the concentration of reactants is
reduced by n times then the value of rate constant of the first order will?
A. Increase by n times
B. Decrease by factor of \( n \)
c. Not change
D. None of these
| 1 |
Chemistry
|
Current \( I_{1} \) in the following circuit is
\( A, O, 4 A \)
B . -0.4A
\( c . \) о.вА
D . -0.8A
| 3 |
Physics
|
Calculate the equilibrium constant for
the reaction:
\( \mathbf{3} \boldsymbol{S} \boldsymbol{n}(\boldsymbol{s})+\boldsymbol{2} \boldsymbol{C r}_{2} \boldsymbol{O}_{7}^{2-}+\boldsymbol{2} \boldsymbol{8} \boldsymbol{H}^{+} \rightarrow \)
\( \mathbf{3} \boldsymbol{S} \boldsymbol{n}^{+\mathbf{4}}+\mathbf{4} \boldsymbol{C} \boldsymbol{r}^{\mathbf{3}+}+\mathbf{1 4} \boldsymbol{H}_{\mathbf{2}} \boldsymbol{O} \)
\( E^{\circ} \) for \( S n / S n^{2+}=0.136 V E^{\circ} \) for
\( \boldsymbol{S} \boldsymbol{n}^{2+} / \boldsymbol{S} \boldsymbol{n}^{4}=-\mathbf{0 . 1 5 4} \boldsymbol{V} \)
\( E^{\circ} \) for \( C r_{2} O_{7}^{2-} / C r^{3+}=1.33 V \), if the
ans is \( K=10^{c}, \) what is c?
A . 261
в. 273
\( c \cdot 128 \)
D. none of these
| 1 |
Chemistry
|
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