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questions
List of practice Questions
Fresnel distance for an aperture of size a illuminated by a parallel beam of light of wavelength λ, deciding the validity of ray optics is
KEAM - 2021
KEAM
Physics
Ray optics and optical instruments
For the reaction A(g) + B(g) ⇌ C(g) + D(g); ΔH = -QKJ
The equilibrium constant cannot be disturbed by
KCET - 2021
KCET
Chemistry
Law Of Chemical Equilibrium And Equilibrium Constant
The product ‘A’ gives white precipitate when treated with bromine water. The product ‘B’ is treated with Barium hydroxide to give the product C. The compound C is heated strongly to form product D. The product D is
KCET - 2021
KCET
Chemistry
Reaction mechanisms
The major product of the following reaction is CH
2
= CH - CH
2
- OH
product
KCET - 2021
KCET
Chemistry
Addition reactions
The order of reactivity of the compounds C
6
H
5
CH
2
Br, C
6
H
5
CH(C
6
H
5
)Br, C
6
H
5
CH(CH
3
)Br and C
6
H
5
C(CH
3
)(C
6
H
5
)Br in S
N
2
reaction is
KCET - 2021
KCET
Chemistry
Organic Chemistry
A car manufacturing factory has two plants X and Y. Plant X manufactures 70% of cars and plant Y manufactures 30% of cars. 80% of cars at plant X and 90% of cars at plant Y are rated as standard quality. A car is chosen at random and is found to be standard quality. The probability that it has come from plant X is
KCET - 2021
KCET
Mathematics
Conditional Probability
Bond enthalpies of A
2
, B
2
and AB are in the ratio 2 : 1 : 2. If bond enthalpy of formation of AB is -100 KJ mol
-1
. The bond enthalpy of B
2
is
KCET - 2021
KCET
Chemistry
Chemical bonding and molecular structure
Two dice are thrown. If it is known that the sum of numbers on the dice was less than 6 the probability of getting a sum as 3 is
KCET - 2021
KCET
Mathematics
Conditional Probability
If A,B and C are three independent events such that P(A) = P(B) = P(C) = P then P(at least two of A, B, C occur) =
KCET - 2021
KCET
Mathematics
Probability
Given that A and B are two events such that P(B) =
\(\frac{3}{5}\)
P(A/B) =
\(\frac{1}{2}\)
and P(A ∪ B) =
\(\frac{4}{5}\)
then P(A) =
KCET - 2021
KCET
Mathematics
Conditional Probability
The shaded region is the solution set of the inequalities
KCET - 2021
KCET
Mathematics
linear inequalities
The area of the quadrilateral ABCD, when A(0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2, 6, 2) is equal to
KCET - 2021
KCET
Mathematics
Three Dimensional Geometry
If a plane meets the coordinate axes at A, B and C in such a way that the centroid of triangle ABC is at the point (1, 2, 3) then the equation of the plane is
KCET - 2021
KCET
Mathematics
Coordinate Geometry
The angle between the lines whose direction cosines are
\((\frac{\sqrt3}{4},\frac{1}{4},\frac{\sqrt3}{2})\)
and
\((\frac{3}{4},\frac{1}{4},\frac{-\sqrt3}{2})\)
is
KCET - 2021
KCET
Mathematics
Three Dimensional Geometry
The compound A (major product) is
KCET - 2021
KCET
Chemistry
Organic Chemistry
The equation of the line joining the points (-3, 4, 11) and (1, -2, 7) is
KCET - 2021
KCET
Mathematics
Three Dimensional Geometry
If
\(\vec{a}.\vec{b}=0\)
and
\(\vec{a}+\vec{b}\)
makes an angle 60° with
\(\vec{a}\)
then
KCET - 2021
KCET
Mathematics
Vector Algebra
The correct order for wavelengths of light absorbed in the complex ions
[CoCl(NH
3
)
5
]
2+
, [Co(NH
3
)
6
]
3+
, [Co(CN)
6
]
3-
is
KCET - 2021
KCET
Chemistry
Inorganic chemistry
The diagonals of a parallelogram are the vectors
\(3\hat{i}+6\hat{j}-2\hat{k}\)
and
\(-\hat{i}-2\hat{j}-8\hat{k}\)
then the length of the shorter side of parallelogram is
KCET - 2021
KCET
Mathematics
Vector Algebra
Homoleptic complexes among the following are
(A) K
3
[Al(C
2
O
4
)
3
], (B) [CoCl
2
(en)
2
]
+
, (C) K
2
[Zn(OH)
4
]
KCET - 2021
KCET
Chemistry
Coordination complexes
The IUPAC name of [Co(NH
3
)
5
(CO
3
)]Cl is
KCET - 2021
KCET
Chemistry
coordination compounds
A vector
\(\vec{a}\)
makes equal acute angles on the coordinate axis.Then the projection of vector
\(\vec{b}=5\hat{i}+7\hat{j}-\hat{k}\)
on
\(\vec{a}\)
is
KCET - 2021
KCET
Mathematics
Vector Algebra
The number of solutions of
\(\frac{dy}{dx}=\frac{y+1}{x-1}\)
when y(1) = 2 is
KCET - 2021
KCET
Mathematics
Differential equations
Peroxide effect is observed with the addition of HBr but not with the addition of HI to unsymmetrical alkene because
KCET - 2021
KCET
Chemistry
reaction mechanism
Solution of Differential Equating xdy – ydx = 0 represents
KCET - 2021
KCET
Mathematics
Differential equations
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