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The incorrect statement among the
following is :
\( \mathbf{A} \cdot C_{60} \) is an allotropic form of carbon
B. \( O_{3} \) is an allotropic form of oxygen
\( \mathrm{C} \cdot S_{8} \) is the only allotropic form of sulphur
D. Red phosphorus is more stable in air than white phosphorus
| 1 |
Chemistry
|
Assertion
The size and shape of the rigid body remains unaffected under the effect of
external forces.
Reason
The distance between two particles remains constant in a rigid body
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
|
In a purely resistive circuit:
A . current lags behind the voltage by \( 90^{\circ} \)
B. current leads the voltage by \( 90^{\circ} \)
C . current can lag or lead the voltage by \( 90^{\circ} \)
D. current is in phase with the voltage
| 3 |
Physics
|
An aluminium container of mass 100
\( \mathrm{gm} \) contains \( 200 \mathrm{gm} \) of ice at \( -20^{0} \mathrm{C} \) Heat is added to the systeam at the rate of 100 cal/s. Find the temperature of the system after 4 minutes (specific heat of ice \( =0.5 \) and \( L=80 \) cal/gm, specific heat of \( \left.A l=0.2 c a l / g m^{0} C\right) \)
| 3 |
Physics
|
For each \( n \epsilon N, \) then \( 3^{2 n+1}+1 \) is
divisible by -
\( A \cdot 2 \)
B. 3
\( c \cdot 7 \)
D. None of these
| 2 |
Maths
|
Match the column I with column II with respect to applications of properties of colloids in different fields and mark the
appropriate choice.
Column I Column I
(A) Coagulation
(i) Colloidal medicines
(B) Adsorption
(ii) Photographic films
(C) Electrophoresis
(iii) Sewage disposal
(D) Emulsions
(iv) Smoke precipitator
B. (A) \( \rightarrow \) (ii), (B) \( \rightarrow \) (iii), \( (c) \rightarrow(i),(D) \rightarrow( \) iv )
c. \( (A) \rightarrow(\text { iii) },(B) \rightarrow(i),(C) \rightarrow(i v),(D) \rightarrow( \text { ii) } \)
D. \( (A) \rightarrow(\text { i) },(B) \rightarrow(\text { iv) },(C) \rightarrow(\text { iii) },(D) \rightarrow( \text { ii) } \)
| 1 |
Chemistry
|
A rigid body rotates about a stationary
axis according to the law \( \boldsymbol{\theta}=\boldsymbol{a t}-\boldsymbol{b} \boldsymbol{t}^{3} \)
awhere \( a=6 \frac{r a d}{s} \) and \( b=2 \frac{r a d}{s^{3}} . \) Then
mean value of angular velocity ( \( \omega \) ) over
the interval \( t=0 \) and the moment when
it comes to rest is:
A \( .4 \mathrm{rad} / \mathrm{s} \)
B. 3 rad /
c. 8 rad \( / s \)
D. 6 rad \( / \) s
| 3 |
Physics
|
Insufficient light causes while powerful light can cause
A. damage to retina, headaches and eye strain
B. headache and eye strain, damage to retina
c. eye strain, formation of multiple image
D. damage to retina, healing to retina
| 3 |
Physics
|
Resin and turpentine are products of
A. Teak
B. Oak
c. Eucalyptus
D. Pine
| 0 |
Biology
|
The co-ordinates of a moving particle at
any time \( t \) are given by \( \alpha t^{3} \) and \( y=\beta t^{3} \)
The speed of the particle at time is given by
A \( \cdot 3 t \sqrt{\alpha^{2}+\beta^{2}} \)
B . \( 3 t^{2} \sqrt{\alpha^{2}+\beta^{2}} \)
c. \( 3 t \sqrt{\alpha^{2}+\beta^{2}} \)
D. \( \sqrt{\alpha^{2}+\beta^{2}} \)
| 3 |
Physics
|
If the roots of cubic equation \( a x^{3}+ \)
\( b x^{2}+c x+d=0 \) are in G.P., then
В \( \cdot c a^{3}=b d^{3} \)
\( \mathbf{c} \cdot a^{3} b=c^{3} d \)
D. \( a b^{3}-c d^{3} \)
| 2 |
Maths
|
Evaluate the following limit:
\( \lim _{x \rightarrow 0} \frac{\sqrt{(1+\sin x)}-\sqrt{(1-\sin x)}}{x} \)
| 2 |
Maths
|
Find the following squares by using the identity \( \left(\frac{2 a}{3 b}+\frac{3 b}{2 a}\right)^{2} \)
| 2 |
Maths
|
Assertion
STATEMENT-1: 2,2-dimethylpropanal
undergoes cannizzaro reaction with
concentrated \( N \) a \( O H \)
Reason
STATEMENT-2: Cannizzaro reaction is a
disproportionation reaction.
A. STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-
1
B. STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
C. STATEMENT-1 is True, STATEMENT-2 is False
D. STATEMENT-1 is False, STATEMENT-2 is True
| 1 |
Chemistry
|
A person places his ear at the end of a long steel pipe. He hears two distinct sounds at an interval of 0.5 s when
another person hammers at the other end of the pipe. If the speed of the sound in metal and air are \( 3630 \mathrm{ms}^{-1} \) and 330
\( \mathrm{m} s^{-1} \) respectively, then the distance between the two persons is
A. \( 90.75 \mathrm{m} \)
в. 181.5 \( \mathrm{m} \)
c. \( 363 \mathrm{m} \)
D. 1650 \( \mathrm{m} \)
| 3 |
Physics
|
\( \lim _{x \rightarrow 0} \frac{\int_{0}^{t^{2}} \cos t^{2} d t}{x \sin x} \) is equal to:
\( A \cdot-1 \)
B. +1
\( c \cdot 2 \)
\( D \ldots-2 \)
| 2 |
Maths
|
Lateral line organs occur in
A. Fishes
B. Fishes and amphibian larvae
C . Cartilaginous fishes and amphibian larvae
D. Fishes and larvae of other vertebrates
| 0 |
Biology
|
Let \( n \) be a positive integer. Then
\( (i)^{4 n+1}+(-i)^{4 n+5}= \)
\( A \)
в. 2
\( c \)
D. \( -i \)
| 2 |
Maths
|
Evaluate the following integrals:
\( \int \sec ^{4} 2 x d x \)
| 2 |
Maths
|
In the figure a potential of \( +1200 \mathrm{V} \) is
given to point \( A \) and point \( B \) is
earthed,what is the potential at the
point
A . \( 100 \mathrm{V} \)
B. 200
c. \( 400 \mathrm{v} \)
D. 600 v
| 3 |
Physics
|
If \( x^{2}+y^{2}=t-\frac{1}{t} \) and \( x^{4}+y^{4}=t^{2}+ \)
\( \frac{1}{t^{2}}, \) then prove that \( \frac{d y}{d x}=\frac{1}{x^{3} y} \)
| 2 |
Maths
|
Snow blindness is caused due to
A. Ozone hole
B. Nuclear winter
c. Acid rain
D. Green house effect
| 0 |
Biology
|
Explain how Alcohols of lower molecular mass are soluble in water.
| 1 |
Chemistry
|
Two small particles of equal masses
start moving in opposite directions
from a point \( A \) in a horizontal circular
orbit. Their tangential velocities are \( \boldsymbol{v} \)
and \( 2 v \) respectively, as shown in the
figure. Between collisions, the particles
move with constant speeds. After making how many elastic collisions, other than that at \( A \), these two
particles will again reach the point \( A \) ?
A . 4
B. 3
\( c \cdot 2 \)
D.
| 3 |
Physics
|
The total height of 10 identical coins each of thickness \( 0.5 \mathrm{cm} \) placed one over the other will be \( 50 \mathrm{mm} \)
A. True
B. False
| 3 |
Physics
|
Find the number of diagonals of a
polygon of 16 sides.
| 2 |
Maths
|
What is a semi conductor diode or
junction diode?
| 3 |
Physics
|
In the third group of qualitative
analysis, the precipatitating reagent is
\( N H_{4} C l / N H_{4} O H . \) The function of
\( N H_{4} C l \) is to
A. increase the ionisation of \( N H_{4} O H \)
B. supress the ionisation of \( N H_{4} O H \)
C. convert the ions of group third into their respective chlorides
D. stabilise the hydroxides of group III cations
| 1 |
Chemistry
|
A ball of weight \( \mathrm{W} \) is supported on a
vertical jet of water. If the stream of
water flowing from the nozzle has a
diameter \( D \) and velocity \( u, \) determine the value of H. Assume that no loss of
energy takes place
| 3 |
Physics
|
A gaseous compound A reacts by three independent first-order processes (as shown in the figure) with rate constant
\( 2 \times 10^{3}, 3 \times 10^{3} \) and \( 1.93 \times 10^{3} \) sec \( ^{1} \)
for products \( \mathrm{B}, \mathrm{C} \) and \( \mathrm{D} \) respectively. If
initially pure \( A \) was taken in a closed
container with \( P=8 a t m, \) then the
partial pressure of \( \mathrm{B}(\text { in atm }) \) after 100 sec from the start of experiment:
\( \mathbf{A} \cdot 0.288 \)
B. 0.577
c. 1.154
D. noneofthese
| 1 |
Chemistry
|
A bar magnet of pole strength \( 20 A-m \)
is cut into four equal parts breadth wise. Consider the following statements
A) Length becomes \( 1 / 4^{t h}, \) pole strength will be same. Intensity of magnetisation
will be same
B) Length becomes \( 1 / 4^{t h}, \) pole strength
will be \( 1 / 4^{t h} . \) Intensity of magnetisation
also becomes \( 1 / 4^{t h} \)
A . A is correct
B. B is correct
c. Both A and B are correct
D. Both A and B are false
| 3 |
Physics
|
In a series of \( 2 n \) observations, half of
them equal \( a \) and remaining half
equation \( -a . \) If the standard deviation of the observations is \( 2, \) then \( |a| \) equals:
A \( \cdot \frac{1}{n} \)
B. \( \sqrt{2} \)
\( c \cdot 2 \)
D. \( \frac{\sqrt{2}}{n} \)
| 2 |
Maths
|
When hydrogen sulphide is reacted with sulphur dioxide, the product obtained is:
A. Flower of sulphur
B. colloidal sulphur
c. milk of sulphur
D. none of these
| 1 |
Chemistry
|
Mark the statement which is an
advantage of hydel energy.
A. Water availability is free of cost.
B. construction of dams is an easy task
c. Both A and B
D. None of the above
| 3 |
Physics
|
A \( 200 H z \) wave with amplitude 1 mm
travels on a long string of linear mass of density \( 6 g m^{-1} \) kept under a tension of
\( 60 N . \) The average power transmitted across a given point in the string is
A. \( 0.53 \mathrm{W} \)
Wh
в. \( 0.83 \mathrm{W} \)
c. \( 0.47 W \)
D. \( 0.89 W \)
| 3 |
Physics
|
A student has to focus his compound
microscope to observe a prepared slide
showing different stages of binary fission in Amoeba. The steps he is likely to follow are listed below in a haphazard
manner:
. Adjust the diaphragm and the mirror of the microscope so that sufficient light may enter to illuminate the slide.
Il. Fix the slide on the stage carefully.
III. Adjust the microscope to high power and focus.
IV. Adjust the microscope to low power and focus.
The correct sequence of the above steps
to observe the slide under
themicroscope is
A . ।,॥,।V, ॥॥
B. ॥,,|V,III
c. ॥,ा॥,।,॥
D. I,IV,II,II
| 3 |
Physics
|
In gymnosperms, pollination is exclusively by
A. Animals
B. Wind
c. water
D. Insects
| 0 |
Biology
|
XY sex chromosomes were discovered
by
A. Gregor Johann Mendel
B. M.J.D. White
c. Nettie Stevens
D. Robert Brown
| 0 |
Biology
|
If \( \cos \alpha, \cos \beta \) and \( \cos \gamma \) are direction
cosines of a vector, then they satisfy which of the following? Prove it.
A \( \cdot \cos ^{2} \alpha+\cos ^{2} \beta+\cos ^{2} \gamma=0 \)
B . \( \cos ^{2} \alpha+\cos ^{2} \beta=\cos ^{2} \gamma \)
c. \( \cos ^{2} \alpha+\cos ^{2} \beta+\cos ^{2} \gamma=-1 \)
D. \( \cos ^{2} \alpha+\cos ^{2} \beta+\cos ^{2} \gamma=1 \)
| 2 |
Maths
|
Which of the following gives ethyl alcohol by the action of methyl magnesium halide followed by hydrolysis?
A. Formaldehyde
B. Acetaldehyde
c. Acetic acid
D. Methyl alcohol
| 1 |
Chemistry
|
Alanine forms Zwitter ion which exists
as
\( A \)
\( C H_{3} C^{\text {ему }} H C O O^{-} \) in acidic medium
в. \( C H_{3} C^{\text {емуз }} H C O O H \) in a medium of \( p H=4 \)
c. \( C H_{3} C H C O O^{-} \)
Niz
in a medium of \( p H=1 \)
D. \( C H_{3} C H C O O^{-} \) in a medium of \( p H=2 \)
| 1 |
Chemistry
|
The image formed by a plane mirror is generally inverted. State whether true or false.
A. True
B. False
| 3 |
Physics
|
Calculate the mole fraction of benzene
in solution containing \( 30 \% \) by mass in
\( \boldsymbol{C C l}_{4} ? \)
| 1 |
Chemistry
|
Time in which the vibrating particle completes one vibration is called the time period. Explain.
| 3 |
Physics
|
Among the following pairs of ions, the lower oxidation state in aqueous solution is more stable than the other
in
A \( \cdot T i^{+}, T i^{3+} \)
в. \( C u^{+}, C u^{2+} \)
c. \( C r^{2+}, C r^{3+} \)
D. \( V^{2+}, V O^{2+} \)
| 1 |
Chemistry
|
Differentiate between primary and secondary valencies?
| 1 |
Chemistry
|
Assertion
If \( z=i+2 i^{2}+3 i^{3}+\ldots \ldots \ldots \ldots+32 i^{32} \)
then \( z, \bar{z}, z \& \bar{z} \) forms the vertices of
square on argand plane.
Reason
\( z, \bar{z}, z, \bar{z} \) are situated at the same
distance from the origin on argand
plane.
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
|
A horizontal overhead power line is at a height of \( 5 ~ m \) from the ground and carries a current of \( 100 A \) from east to
west. The magnetic field directly below it on the ground is
A \( \cdot 2.5 \times 10^{-6} T \) eastward
B . \( 4 \times 10^{-6} T \) eastward
c. \( 5 \times 10^{6} \) southward
D. \( 2 \times 10^{-6} \) westward
| 3 |
Physics
|
A particle of mass \( 10 g \) is placed in potential field, given by \( V=\left(50 x^{2}+\right. \)
100) erg/g. What will be frequency of
oscillation of particle?
| 3 |
Physics
|
A man weighing \( 60 \mathrm{kg} \) lifts a body of mass 15 kg to the top of a building 10 m high in 3 minutes. His efficiency is
A . \( 20 \% \)
B. \( 10 \% \)
\( c .30 \% \)
D. \( 40 \% \)
| 3 |
Physics
|
Consider the following hydration reaction
The correct statement regarding the above reaction is (are)
\[
\langle f\rangle_{-} \mathrm{cH}=\mathrm{CD}_{2}+\operatorname{dil} . \mathrm{H}_{2} \mathrm{SO}_{4} \stackrel{\text { Heat }}{\longrightarrow} \text { Alcohol }(\mathrm{s})
\]
This question has multiple correct options
A. The product is a racemic mixture
B. The unreacted alkenes retain all deuterium atoms
c. A pure enantiomer of product is formed
D. The unreacted alkene will have some deuterium replaced by hydrogen
| 1 |
Chemistry
|
Light wave of frequency \( 4 \times 10^{14} \mathrm{Hz} \)
passes through a medium. The wave
length in the medium is \( \lambda=5 \times 10^{-7} \)
m. The refractive index of the medium
is:
\( A \cdot 2 / 3 \)
B. \( 4 / 3 \)
\( c \cdot 3 / 2 \)
D. 1.414
| 3 |
Physics
|
The organisms shown in figure can be
grouped into two separate groups
based on their mode of nutrition
Which of the following options is correct
regarding this?
A. \( P \) is an autotroph whereas \( Q \), \( R \) and \( S \) are heterotrophs.
B. P show intracellular digestion while \( Q \), R and S show extracellular digestion.
C. \( P \) and \( Q \) are autotrophs while \( R \) and \( S \) are heterotrophs.
D. P shows intracellular digestion while \( Q \), R and S show extracellular digestion.
| 0 |
Biology
|
\( \int\left\{\frac{(\log x-1)}{1+(\log x)^{2}}\right\}^{2} d x \) is equals to?
A. \( \frac{\log x}{(\log x)^{2}+1}+C \)
в. \( \frac{x}{x^{2}+1}+C \)
c. \( \frac{x e^{x}}{1+x^{2}}+C \)
D. \( \frac{x}{(\log x)^{2}+1}+C \)
| 2 |
Maths
|
A solid conducting sphere having a
charge \( Q \) is surrounded by an
uncharged concentric conducting
hollow spherical shell. Let the potential difference between the surface of the
solid sphere and that of the outer surface of the hollow shell be \( V \). If the
shell is not given a charge of \( -3 Q \), the
new potential difference between the
same two surfaces is:
\( \mathbf{A} \cdot V \)
B. \( 2 V \)
c. \( 4 V \)
\( \mathbf{D} \cdot-2 V \)
| 3 |
Physics
|
In chromite ore, the oxidation number of
iron, and chromium are respectively.
\( A \cdot+3,+2 \)
\( B \cdot+3,+6 \)
\( c \cdot+2,+6 \)
\( D \cdot+2,+3 \)
| 1 |
Chemistry
|
Match the items in List 1 and with those
in List 2
| 1 |
Chemistry
|
If \( |z|=3, \) then \( \frac{9+z}{1+\bar{z}} \) equals
\( A \)
B.
\( c \cdot 3 z \)
D. \( z+\bar{z} \)
| 2 |
Maths
|
\( \frac{(x+1)^{2}}{x^{3}+x}=\frac{A}{x}+\frac{B x+C}{x^{2}+1} \Rightarrow \)
\( \sin ^{-1}\left[\frac{A}{C}\right]= \)
A \( \cdot \frac{\pi}{6} \)
в. \( \frac{\pi}{4} \)
\( c \cdot \frac{\pi}{3} \)
\( D \cdot \frac{\pi}{2} \)
| 2 |
Maths
|
The contrapositive of the statement 'If am not feeling well, then I will go to the
doctor' is:
A. If I am feeling well, then I will not go to the doctor
B. If / will go to the doctor, then I am felling well
c. If 1 will not go to the doctor, then I am feeling well
D. If I will go to the doctor, then I am not feeling well
| 2 |
Maths
|
Two moles of \( O_{2} \) gas is collected over
water at \( 400 \mathrm{K} \) temperature in 2
litre vessel. If the pressure of dry \( O_{2} \) gas is 32.20 bar then find the vapour pressure of water under the same
conditions.
| 1 |
Chemistry
|
The binary mixture of a particular composition in both liquid and vapour state is known as a/an azeotropic mixture.
If true enter 1 , if false enter 0 .
| 1 |
Chemistry
|
Ratio of energy of photon of wavelength \( 3000 A \) and \( 6000 A \) is :
A . 3: 1
B . 2: 1
c. 1: 2
D. 1: 3
| 1 |
Chemistry
|
Two moles of a perfect gas undergo the following process:
(a) A reversible isobaric expansion from
\( (1 \operatorname{atm} \operatorname{to} 20 L) \) to \( (1 \operatorname{atm} \operatorname{to~} 40 L) \)
(b) A reversible isochoric change of
state from \( (1 \text { atm to } 40 L) \) to \( (0.5 \) atm to
\( 40 L) \)
(c) A reversible isothermal
compression from \( (0.5 \text { at } m \text { to } 40 L) \) to
\( 1 \text { atm to } 20 L) \)
(i) Sketch with labels each of the
process on the same P-V diagram.
(ii) Calculate the total work \( (w) \) and the
total change \( (q) \) involved in the above
process
(iii) What will be the value of
\( \Delta U, \Delta H, \Delta S \) for the overall process?
| 1 |
Chemistry
|
A block of mass \( 1 k g \) is free to move
along the \( X \) -axis. It is at rest and from
time \( t=0 \) onwards it is subjected to a
time-dependent force \( F(t) \) in the \( X \)
direction. The force \( F(t) \) varies with \( t \) as shown in figure. The kinetic energy of
the block at \( t=4 s \) is
A \( .1 . \)
B. \( 2 J \)
\( c .3 J \)
D. \( 0 . \)
| 3 |
Physics
|
When a capacitor of value 200 uf
charged to \( 200 \mathrm{V} \) is discharge separately through resistance of 2 ohms and 8 ohms, then heat produced
in joule will respectively be:
| 3 |
Physics
|
Rhombic sulphur is insoluble in carbon disulphide
A. True
B. False
| 1 |
Chemistry
|
A perpendicular at the end of the radius of a circle is
A. diameter
B. tangent
c. chord
D. anyline
| 2 |
Maths
|
The Gibbs energy change for a reversible reaction at equilibrium is:
A . zero
B. small positive
c. small negative
D. large positive
| 1 |
Chemistry
|
In the phenomena of diffraction of light, when blue light is used in the experiment in spite of red light, then
A. fringes will become narrower
B. fringes will become broader
c. no change in fringe width
D. None of these
| 3 |
Physics
|
\( y= \)
\( y \)
\( y \)
\( y \)
| 1 |
Chemistry
|
A large quantity of fluid is filtered every day by the nephrons in the kidneys, only about \( 1 \% \) of it is excreted as urine. The
remaining \( 99 \% \) of the filtrate
A. Gets collected in the renal pelvis
B. Is lost as sweat.
c. Is stored in the urinary bladder.
D. Is reabsorbed into the blood
| 0 |
Biology
|
In A.C. circuit in which inductance and
capacitance are joined in series, current is found to be maximum when
the value of inductance is \( 0.5 H \) and the
value of capacitance is \( 8 \mu F \). The angular frequency of applied alternating voltage will be
A. \( 400 \mathrm{Hz} \)
в. 500 на
c. \( 4000 \mathrm{Hz} \)
D. 5000 Hz
| 3 |
Physics
|
Bauxite, the ore of aluminium, is purified by which process?
A. Hoope's process
B. Hall's process
c. Mond's process
D. Liquation process
| 1 |
Chemistry
|
It pructur
\( A \)
\( B \)
\( c \)
\( D \)
| 1 |
Chemistry
|
Discuss the continuity of the following function at the indicated point(s):
\( \boldsymbol{f}(\boldsymbol{x})=\left\{\begin{array}{ll}\frac{\boldsymbol{2}|\boldsymbol{x}|+\boldsymbol{x}^{2}}{\boldsymbol{x}}, & \boldsymbol{x} \neq \mathbf{0} \\ \boldsymbol{0}, & \boldsymbol{x}=\mathbf{0}\end{array}, \text { at } \boldsymbol{x}=\mathbf{0}\right. \)
| 2 |
Maths
|
toppr
Q Type your question
capacitor \( C \) as shown in the figure.
Magnetic field \( B \) is into the plane.
Consider the following statements:
(i) Current in loop \( \boldsymbol{A} \boldsymbol{E} \boldsymbol{F} \boldsymbol{B} \boldsymbol{A} \) is
anticlockwise.
(ii) Current in loop \( \boldsymbol{A} \boldsymbol{E} \boldsymbol{F} \boldsymbol{B} \boldsymbol{A} \) is
clockwise
(iii) Current through the capacitor is
zero.
(iv) Energy stored in the capacitor is
\( \frac{1}{2} C B^{2} L^{2} V^{2} \)
Which if the following options is
correct?
A. Statements (i) and (iii) are correct
B. Statements (ii) and (iv) are correct
c. Statements (i), (iii) and (iv) are correct
D. None of these
| 3 |
Physics
|
Glyptal (alkyd resins) are polyesters of acids and polyhydric alcohols. They are used in the manufacture of:
A. printing inks
B. paints and lacqures
c. rubber and tyres
D. nail polish
| 1 |
Chemistry
|
Channel proteins allow ions that would not normally pass through the cell membrane to go through the channel What properties of the proteins are responsible for this?
A. The channels are often composed of charged or polar \( R \) groups.
B. The channels are often composed of hydrophobic \( R \) group
\( c . a \) and \( b \)
D. None of these
| 0 |
Biology
|
What are saprophytes? Give two examples
| 0 |
Biology
|
A galvanometer of resistance \( 50 \Omega \) is
connected to a battery of \( 3 V \) along with a resistance of \( 2950 \Omega \) in series. A full-
scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 20 divisions, the resistance in series should be equal
to
A . \( 5050 \Omega \)
B. \( 5550 \Omega \)
c. \( 6050 \Omega \)
D. \( 4450 \Omega \)
| 3 |
Physics
|
Raunak took 5 moles of carbon atoms in
a container and Krish also took 5 moles of sodium atoms in another container of
same weight. Whose container has more number of atoms?
A. Raunak
B. Krish
c. Both have same
D. None of these
| 1 |
Chemistry
|
If the following matter waves travel with equal velocity, the longest wavelength is that of a/an:
A . electron
B. proton
c. neutron
D. particle
| 1 |
Chemistry
|
Which of the following halides is least stable and has doubtful existence?
A. \( C C l_{4} \)
в. \( G e I_{4} \)
\( \mathrm{c} \cdot \operatorname{SnI}_{4} \)
D. \( P b I_{4} \)
| 1 |
Chemistry
|
If \( A=\left[\begin{array}{cc}-3 & 5 \\ 5 & 0 \\ -7 & 4\end{array}\right] \) and \( B=\left[\begin{array}{ccc}3 & -5 & 7 \\ -5 & 0 & -4\end{array}\right] \)
then find \( \boldsymbol{A}+\boldsymbol{B}^{\boldsymbol{T}} \)
\( A \cdot 0 \)
в. \( 2 B \)
\( c \cdot 2 A^{T} \)
D. \( 2 B^{T} \)
| 2 |
Maths
|
The equation of the plane through the
intersection of \( p_{1} \& p_{2} \) containing the
point (1,1,2) is
A. \( 5 x-6 y+4 z=4 \)
в. \( 5 x+6 y-4 z=3 \)
c. \( 3 x-2 y+4 z=9 \)
D. Nonoe of these
| 2 |
Maths
|
Two masses \( m_{1}=10 \mathrm{kg} \) and \( m_{2}= \)
\( 5 k g \) are connected by an ideal string as
shown in the figure. The coefficient of
friction between \( m_{1} \) and the surface is
\( \mu=0.2 . \) Assuming that the system is
released from rest. The velocity of
blocks when \( m_{2} \) has descended by \( 4 m \)
is \( \left(\boldsymbol{g}=\mathbf{1 0} \boldsymbol{m} / \boldsymbol{s}^{2}\right) \)
A. \( 4 \mathrm{m} / \mathrm{s} \)
в. \( 8 \mathrm{m} / \mathrm{s} \)
c. \( 2 m / s \)
D. \( 12 \mathrm{m} / \mathrm{s} \)
| 3 |
Physics
|
Which acid is produced in our stomach? What happens if there is an
excess of acid in the
stomach? How can its effect be cured?
| 1 |
Chemistry
|
A plank with a uniform sphere placed on it rests on a smooth horizontal plane.
Plank is pulled to right by a constant force \( F, \) If sphere does not slip over the
plank:
This question has multiple correct options
A. both have same acceleration
B. acceleration of centre of sphere is less then that of the plank
C. work done by friction acting on the sphere is equal to its total KE
D. total KE of the system is equal to work done by the force \( F \)
| 3 |
Physics
|
A point on \( P-V \) diagram represents
A. the condition of a system
c. work done in a cyclic process
D. a thermodynamic process
| 3 |
Physics
|
The work function of metal is in the
range of \( 2 e V \) to \( 5 e V \). Find which of the
following wavelength of light cannot be used for photoelectric effect:
(Consider, Plank constant \( =\mathbf{4} \times \)
\( 10^{-15} e V s, \) velocity of light \( =3 x \)
\( \left.\mathbf{1 0}^{\mathbf{7}} \boldsymbol{m} / \boldsymbol{s}\right) \)
A. 510 nm
B. 650 nm
\( c .400 \mathrm{nm} \)
D. 570 nm
| 3 |
Physics
|
The correct sequence of thermal
stability of the following carbonates is:
A. \( B a C O_{3}<C a C O_{3}<S r C O_{3}<M g C O_{3} \)
в. \( M g C O_{3}<C a C O_{3}<S r C O_{3}<B a C O_{3} \)
c. \( B a C O_{3}<S r C O_{3}<C a C O_{3}<M g C O_{3} \)
D. \( M g C O_{3}<S r C O_{3}<C a C O_{3}<B a C O_{3} \)
| 1 |
Chemistry
|
Which of the following does not result in an increase in entropy?
A. Rusting of iron
B. Conversion of ice to water
c. crystallisation of sucrose from solution
D. Sublimation of camphor
| 1 |
Chemistry
|
According to Bohr theory, the electronic
energy of hydrogen atom in the \( n \) th Bohr orbit is given by,
\[
\boldsymbol{E}_{\boldsymbol{n}}=-\frac{\boldsymbol{2} \mathbf{1} . \boldsymbol{7} \boldsymbol{6} \times \mathbf{1 0}^{-19}}{\boldsymbol{n}^{2}} \boldsymbol{J}
\]
Calculate the longest wavelength of light that will be needed to remove an electron from the 2 nd orbit of \( L i^{2+} \) ion.
| 1 |
Chemistry
|
Two particles of masses \( m \) and \( M \) are
initially at rest at an infinite distance
apart. They move towards each other
and gain speeds due to gravitational attraction. Find their speeds when the separation between the masses becomes equal to \( d \)
| 3 |
Physics
|
The electronic configuration of a
transition element ' \( X^{\prime} \) in +3 oxidation
state is \( [A r] 3 d^{5} . \) What is its atomic
number?
A .24
B . 25
\( c \cdot 26 \)
D. 27
| 1 |
Chemistry
|
A square of side \( 16 \mathrm{cm} \) is reduced by a scale factor 0.5 Find the area of the
image
A \( \cdot 16 \mathrm{cm}^{2} \)
В. \( 32 \mathrm{cm}^{2} \)
\( \mathbf{c} \cdot 64 c m^{2} \)
D. \( 1024 \mathrm{cm}^{2} \)
| 2 |
Maths
|
The correct increasing order of the acidic strength of acids, butyric acid (I),
\( 2- \) chlorobutyric acid \( (\|), 3 \) chlorobutyric acid (III) and 2, 2dichlorobutyric acid (IV) is :
\( A \cdot|<||<|||<\mid V \)
B. III <II IV <1
c. \( |<|||<||<\mid V \)
D. \|\|\( <1<\|<\mathbb{V} \)
E. IV \( <\|1<\|<1 \)
| 1 |
Chemistry
|
Find the profit per cent or loss per cent made, when the S.P. of 15 identical
articles is equal to the C.P. of 20 articles.
A ' profit \( =33 \frac{1}{3} \% \)
B. Profit \( =23 \frac{1}{2} \% \)
c. profit \( =23 \frac{1}{3} \% \)
D. \( \operatorname{Loss}=31 \frac{1}{8} \% \)
| 2 |
Maths
|
Amit deposited 150 per month in a bank for 8 months under the Recurring Deposit Scheme. What will be the
maturity value of his deposits, if the rate of interest is \( 8 \% \) per annum and interest is calculated at the end of every
month
| 2 |
Maths
|
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