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questions
List of practice Questions
Solute ‘
X
’ dimerises in water to the extent of 80%.2.5
g
of ‘
X
’ in 100
g
of water increases the boiling point by 0.3∘
C
. The molar mass of ‘
X
’ is [
K
b
=0.52
Kkgmol
−1
]
KCET - 2020
KCET
Chemistry
water
The standard deviation of the data 6, 7, 8, 9, 10 is
KCET - 2020
KCET
Mathematics
Measures of Dispersion
The negation of the statement “For all real numbers x and y, x + y = y + x” is
KCET - 2020
KCET
Mathematics
Real Numbers
\(\lim\limits_{x\rightarrow0}(\frac{\tan x}{\sqrt{2x+4}-2})\)
is equal to
KCET - 2020
KCET
Mathematics
limits of trigonometric functions
If the parabola x
2
= 4ay passes through the point (2, 1), then the length of the latus rectum is
KCET - 2020
KCET
Mathematics
Parabola
The two lines lx + my = n and l'x + m'y = n' are perpendicular if
KCET - 2020
KCET
Mathematics
Coordinate Geometry
If the sum of n terms of an A.P is given by S
n
= n
2
+ n, then the common difference of the A.P is
KCET - 2020
KCET
Mathematics
Arithmetic Progression
Which one of the following is an isotonic pair of solution ?
KCET - 2020
KCET
Chemistry
Isomerism
The pair of electrolytes that posses same value for the constant (A) in the Debye - Huckel - Onsagar equation,
$\lambda_m = \lambda^0_m - A\sqrt{C}$
is
KCET - 2020
KCET
Chemistry
Electrolysis
Silicon doped with gallium forms
KCET - 2020
KCET
Chemistry
Occurrence Of Metals
A metal crystallises in face centred cubic structure with metallic radius 2
A
∘. The volume of the unit cell (in
m
3
) is
KCET - 2020
KCET
Chemistry
Occurrence Of Metals
A metal exists as an oxide with formula
M
0.96
O
. Metal
M
can exist as
M
+2
and
M
+3
in its oxide
M
0.96
O
. The percentage of
M
+3
in the oxide is nearly
KCET - 2020
KCET
Chemistry
Aldehydes, Ketones and Carboxylic Acids
Which of the following is Not a green house gas?
KCET - 2020
KCET
Chemistry
liquifaction of gases
Identify ‘X’ in the following reaction
KCET - 2020
KCET
Chemistry
Chemical Reactions of Alcohols Phenols and Ethers
Which of the following is not a pair of functional isomers?
KCET - 2020
KCET
Chemistry
Isomerism
The mental that produces H
2
with both dil HC/ and NaOH (aq) is
KCET - 2020
KCET
Chemistry
Chemical Reactions of Alcohols Phenols and Ethers
The oxide of potassium that does not exist is
KCET - 2020
KCET
Chemistry
Aldehydes, Ketones and Carboxylic Acids
The percentage s-character of the hybrid orbitals in
\( No^+_2\)
,
\(NO^-_3\)
and
\( NH^+_4\)
respectively are
KCET - 2020
KCET
Chemistry
Molecular Orbital Theory
A Lewis acid 'X' formed by the reaction of BF3 with LiA/H
4
in ether medium to gives a highly toxic gas. This gas when heated with NH
3
gives a compound commonly known as inorganic benzene. The gas is
KCET - 2020
KCET
Chemistry
Aldehydes, Ketones and Carboxylic Acids
The oxidation number of nitrogen atom in MH
4
NO
3
are
KCET - 2020
KCET
Chemistry
Molecular Nature of Atom
When the same quantity of heat is absorbed by a system at two different temperatures
T
1
and
T
2
, such that
T
1
>
T
2
, change in entropies are Δ
S
1
and Δ
S
2
respectively. Then
KCET - 2020
KCET
Chemistry
Chemical Reactions of Alcohols Phenols and Ethers
The formal charge on central oxygen atom in ozone is
KCET - 2020
KCET
Chemistry
Oxygen
A thin uniform rectangular plate of mass 2 kg is placed in X-Y plane as shown in figure. The moment of inertial about x-axis is Ix = 0.2 kg m
2
and the moment of inertia about y-axis is Iy = 0.3 kg m
2
. The radius of gyration of the plate about the axis passing through O and perpendicular to the plane of the plate is
KCET - 2020
KCET
Physics
Rotational motion
A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it at time ‘t’ is proportional to
KCET - 2020
KCET
Physics
Power
One end of a string of length ‘ l ’ is connected to a particle of mass ‘m’ and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed ‘v’, the net force on the particle (directed towards the centre) is : (T is the tension in the string)
KCET - 2020
KCET
Physics
Centripetal forces
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