A resistance of 2 is connected across one gap of a metre-bridge (the length of the
wire is 100 cm) and an unknown resistance, greater than 2 ,is connected across
the other gap. When these resistances are interchanged, the balance point shifts by
20 cm.Neglecting any corrections, the unknown resistance is
- 3
- 4
- 5
- 6
In an experiment to determine the focal length (f) of a concave mirror by the
from the pole P. The student looks at the pin and its inverted image from a distance
keeping his/her eye in line with PA.When the student shifts his/her eye towards left,
the image appears to the right of the object pin.Then,
Ax<f
Two particles of mass m each are tied at the ends of
a light string of length 2a.The whole system is kept
F
on a frictionless horizontal surface with the string
held tight so that each mass is at a distance 'a'from
the center P as shown in the figure). Now, the
mid-point of the string is pulled vertically upwards with
a small but constant force F.As a result, the particles
m
P
m
move towards each other on the surface.The magnitude
of acceleration, when the separation between them
a
a
becomes 2x,is
A long, hollow conducting cylinder is kept coaxially inside another long, hollow
conducting cylinder of larger radius. Both the cylinders are initially electrically
neutral.
A) A potential difference appears between the two cylinders when a charge density
is given to the inner cylinder
Consider a neutral conducting sphere.A positive point charge is placed outside the
sphere.The net charge on the sphere is then,
A circuit is connected as shown in the figure
3 F
6 F
with the switch S open. When the switch is
X
closed, the total amount of charge that flows
fromYto Xis
A0
B54 C
32
62
ww
Y
A ray of light traveling in water is incident on its surface open to air. The angle of
incidence is , which is less than the critical angle.Then there will be
In the options given below, let E denote the rest mass energy of a nucleus and
n a neutron. The correct option is
The largest wavelength in the ultraviolet region of the hydrogen spectrum is
122 nm.The smallest wavelength in the infrared region of the hydrogen spectrum
(to the nearest integer) is
- 802 nm
- 823 nm
- 1882 nm
- 1648 nm
STATEMENT-1
A block of mass m starts moving on a rough horizontal surface with a velocity u.
It stops due to friction between the block and the surface after moving through a
certain distance.The surface is now tilted to an angle of 30 with the horizontal and
the same block is made to go up on the surface with the same initial
velocity v.The decrease in the mechanical energy in the second situation is smaller
than that in the first situation.
because
STATEMENT-2
The coefficient of friction between the block and the surface decreases with the
increase in the angle of inclination.
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
STATEMENT-1
In an elastic collision between two bodies, the relative speed of the bodies after
collision is equal to the relative speed before the collision.
because
STATEMENT-2
In an elastic collision, the linear momentum of the system is conserved.
STATEMENT-1
The formula connecting uu and f for a spherical mirror is valid only for mirrors
whose sizes are very small compared to their radii of curvature.
because
STATEMENT-2
Laws of reflection are strictly valid for plane surfaces, but not for large spherical
surfaces.
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
STATEMENT-1
If the accelerating potential in an X-ray tube is increased, the wavelengths of the
characteristic X-rays do not change.
because
STATEMENT-2
When an electron beam strikes the target in an X-ray tube, part of the kinetic energy
is converted into X-ray energy.
The ratio x/x is
A
When disc B is brought in contact with disc A, they acquire a common angular
velocity in time t.The average frictional torque on one disc by the other during this
period is
21@
9I@
91
31
The piston is now pulled out slowly and held at a distance 2L from the top. The
pressure in the cylinder between its top and the piston will then be
APo
B)
Po
While the piston is at a distance 2L from the top, the hole at the top is sealed. The
piston is then released, to a position where it can stay in equilibrium. In this
condition,the distance of the piston from the top is
2PR
PonR-Mg
The piston is taken completely out of
the cylinder. The hole at the top is sealed. A
watertank is brought below the
cylinder and put in a position so that
the water surface in the tank is at the
same level as the top of the cylinder as shown
in the figure.The density of the water is p.In
equilibrium,the height H of the water
column in the cylinder satisfies
ApgL-H+PL-H+LP=0
BpgL-H-PL-H-LP=0
CpgL-H+PL-H-LP=0
D
pgL-H-PL-H+LP=0
Some physical quantities are given in Column I and some possible SI units in which
these quantities may be expressed are given in Column II. Match the physical
quantities in Column I with the units in Column II and indicate your answer by
darkening appropriate bubbles in the 4 4 matrix given in the ORS.
Column I
Column II
AGMM
p(voltcoulombmetre
G-universal gravitational constant,
M-mass of the earth,
M-mass of the Sun
Column I gives certain situations in which a straight metallic wire of
resistance R is used and Column II gives some resulting effects.Match the
statements in Column I with the statements in Column Il and indicate your
answer by darkening appropriate bubbles in the 4 4 matrix given in the ORS.
ColumnI
Column II
AA
charged
capacitor
is
p A constant current flows
connected to the ends of the
through the wire
wire
B)
The
wire
is
moved
(qThermal energy is generated
perpendicular to its length with
in the wire
a constant velocity in a uniform
magnetic field perpendicular to
the plane of motion
C) The wire is placed in a constant
A
constant
potential
electric field that has a direction
difference develops between
along the length of the wire
the ends of the wire
D) A battery of constant emf is
(s)
Charges
of
constant
connected to the ends of the
magnitude appear at the
wire
ends of the wire
Answer
P
b
r
S
A
B
C
D
Some laws / processes are given in Column I. Match these with the physical
phenomena given in Column II and indicate your answer by darkening appropriate
bubbles in the 4 4 matrix given in the ORS.
ColumnI
Column II
The species having bond order different from that in CO is
Among the following, the paramagnetic compound is
Extraction of zinc from zinc blende is achieved by
In the following reaction,
conc. HNO> X
conc.HSO
the structure of the major product'X'is
The reagent(s) for the following conversion,
Br.
H
H
Br
is/are
The number of structural isomers for CgH14 is
The percentage of p-character in the orbitals forming P-P bonds in P4 is
A)25
When 20 g of naphthoic acid CHgO) is dissolved in 50 g of benzene
K=1.72 K kg mol)a freezing point depression of 2K is observed.The
van't Hoff factor (i is
The value of logoK for a reaction A B is
Given : A,H298k= -54.07 kJ mol1,S298k =10 JK⁻¹mo1 and
R=8.314JKmol12.3038.314298=5705
STATEMENT-1:Boron always forms covalent bond.
because
STATEMENT-2: The small size of B3+ favours formation of covalent bond.
STATEMENT-1 :In water, orthoboric acid behaves as a weak monobasic acid.
because
STATEMENT-2: In water, orthoboric acid acts as a proton donor.
STATEMENT-1: p-Hydroxybenzoic acid has a lower boiling point than
o-hydroxybenzoic acid.
because
STATEMENT-2:o-Hydroxybenzoic acid has intramolecular hydrogen bonding
STATEMENT-1 : Micelles are formed by surfactant molecules above the critical
micellar concentration (CMC).
because
STATEMENT-2 : The conductivity of a solution having surfactant molecules
decreases sharply at the CMC.
Argon is used in arc welding because of its
The structure of XeO is
- linear
- planar
- pyramidal
- T-shaped
XeF and XeF are expected to be
A oxidizing
The total number of moles of chlorine gas evolved is
If the cathode is a Hg electrode,the maximum weight (g) of amalgam formed from
this solution is
A200
B)
225
C400
D446
Match the complexes in Column I with their properties listed in Column II.
Indicate your answer by darkening the appropriate bubbles of the 4 4 matrix given
in the ORS.
ColumnI
Column II
A)CoNH)4HO]C1
d)
geometrical isomers
BPt(NHC1]
qparamagnetic
C[CoHOClC1
diamagnetic
D)NiHO1Cl
(s)metal ion with +2 oxidation state
Answer
p
b
r
S
A
B
C
D
Match the chemical substances in Column I with type of polymers/type of bonds in
Column II. Indicate your answer by darkening the appropriate bubbles of the
44 matrix given in the ORS.
Column I
Column II
Acellulose
(p natural polymer
Bnylon-6,6
(b)
synthetic polymer
Cprotein
amide linkage
D
sucrose
(s)
glycoside linkage
Answer
p
b
B
Match gases under specified conditions listed in Column I with their properties/laws
in Column II. Indicate your answer by darkening the appropriate bubbles of the
44 matrix given in the ORS.
ColumnI
Column II
A)hydrogen gasP=200 atm,T=273K
(p compressibility factor 1
Bhydrogen gasP~0T=273 K
(q attractive forces are dominant
CCOP=1atmT=273K
(rPV=nRT
Let a be the roots of the equation x-px +r = 0 and 2 be the roots of the
2
equation x-qx+r=0.Then the value ofr is
p-q)2q-p
Let f(x) be differentiable on the interval 0,such that f1)=1,and
lim t2 f(x)-xf(t) =1
t-x
t-x
for each x>0.Then f(x)is
One Indian and four American men and their wives are to be seated randomly
around a circular table. Then the conditional probability that the Indian man is
seated adjacent to his wife given that each American man is seated adjacent to his
wife is
12
1|
25
1
A hyperbola,having the transverse axis of length 2sin ,is confocal with the ellipse
3x2+4y2=12.Then its equation is
- xcosece-ysec=1
- xsece-y2cosec0=1
- xsin-ycos=1
- xcos-ysin=1
The number of distinct real values of ,for which the vectors -i+j+k,
i-j+k andi+j-k are coplanar,is
Azero
B)
one
The number of solutions of the pair of equations
2sin-cos20=0
2cos2-3sin0=0
in the interval [0,2] is
A zero
B
one
Let HHHbe mutually exclusive and exhaustive events with P(H)>0
i=1,2,..n.Let E be any other event with 0<PE<1.
STATEMENT-1PH|E>PEHPHfori=1,2.n.
because
STATEMENT-2: P(H) =1.
in1
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 TrueStatement-2 is NOT a correct
explanation for Statement-1
C)Statement-1 is True,Statement-2is False
Tangents are drawn from the point 17,7) to the circle x+y2 =169.
STATEMENT-1:The tangents are mutually perpendicular.
because
STATEMENT-2:The locus of the points from which mutually perpendicular
tangents can be drawn to the given circle is x +y = 338.
Let the vectors PQQRRSSTTU and UP represent the sides of a regular
hexagon.
STATEMENT-1 : PQ [RS+ST] 0
because
STATEMENT-2PQxRS=0 and PQxST0.
Let Fx) be an indefinite integral of sin x.
STATEMENT-1:The function Fx) satisfies Fx+=Fx for all real x.
because
STATEMENT-2:sinx+=sinx for all real x.
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
CStatement-1is True,Statement-2 is False
The sumV+V+..+Vis
T, is always
Which one of the following is a correct statement?
A
Q1QQ3..are in A.P.with common difference 5
B
QQ2Q3. are in A.P.with common difference 6
C
Q1QQ3.are in A.P.with common difference 11
===
M61-63:Paragraph for Question Nos.61 to 63
Consider the circle x+y2=9 and the parabola y=8x.They intersect at P and Q
in the first and the fourth quadrants, respectively. Tangents to the circle at
P and Q intersect the x-axis at R and tangents to the parabola at P and Q intersect
the x-axis at S.
The ratio of the areas of the triangles PQS and PQR is
- 12
- 1:2
- 1:4
- 1:8
The radius of the circumcircle of the triangle PRS is
The radius of the incircle of the triangle PQR is
Consider the following linear equations
ax+by+cz=0
bx+cy+az=0
cx+ay+bz=0
Match the conditions/expressions in Column I with statements in Column II and
indicate your answer by darkening the appropriate bubbles in the 4 4 matrix given
in the ORS.
Column I
Column II
Aa+b+c0and
(p) the equations represent planes
a+b2+c=ab+bc+ca
meeting only at a single point.
Ba+b+c=0and
(q)
the equations represent the line
+q+q++9+
x=y=z.
Ca+b+c0and
(r)
the equations represent identical
a+b+cab+bc+ca
planes.
Da+b+c=0and
(s)
the equations represent the whole of
a+b+c=ab+bc+ca
the three dimensional space.
Answer
p
b
r
S
A
B
C
D
In the following [x ] denotes the greatest integer less than or equal to x.
Match the functions in Column I with the properties in Column II and indicate
your answer by darkening the appropriate bubbles in the 4 4 matrix given in
the ORS.
Column I
Column II
|x|xV
continuous in-1,1
Match the integrals in Column I with the values in Column II and indicate your
answer by darkening the appropriate bubbles in the 4 4 matrix given in the ORS.
ColumnI
Column II
dx
213
