KEAM 2018

KEAM Paper 1 Answer Key 2018: Physics & Chemistry

A

The total distance travelled by the particle is zero

B

The total displacement of the particle is zero

C

The maximum acceleration of the particle is 1/2 $ms^{–2}$

D

The total distance travelled by the particle at the end of 10s is 100 m

E

At the $5^{th}$ second, the acceleration of the particle is 2 $ms^{–2}$

A

Force

B

Force constant

C

Surface tension

D

$\frac{Surface \ tension}{Current}$

E

Force constant $\times$ current

A

Photoelectric effect

B

Special theory of relativity

C

Brownian motion

D

General theory of relativity

E

Quantum theory

A

perpendicular to the velocity

B

parallel to the velocity

C

directed away from the origin

D

perpendicular to the position vector

E

always along the direction of $\hat{i}$

A

$v = u + at $

B

$s = ut $

C

$s = ut + \frac{1}{2}at^2 $

D

$v^2 = \frac{u^2}{2} + as $

E

$v^2 = u^2 + 2 as $

A

$\frac{Y}{2dg}$

B

$\frac{Y}{dg}$

C

$\frac{2Y}{dg}$

D

$\frac{dg}{2Y}$

E

$\frac{dg}{Y}$

A

$y_1$ travels along –x-direction and $y_2$ along + x-direction

B

both $y_1$ and $y_2$ travel along –x-direction

C

both $y_1$ and $y_2$ travel along + x-direction

D

at $x= 1 \ m, y_1$ and $y_2$ always cancel

E

at time $t = 1 \ s, y_1$ and $y_2$ exactly cancel everywhere

A

$\sin \ \omega t , \omega > 0 $

B

$\sin \ \omega t + \cos \ \omega t , \omega > 0 $

C

$e^{\omega t} , \omega > 0 $

D

$e^{\omega t} + \sin \ \omega t , \omega > 0 $

E

$e^{\omega lt } + e^{- \omega 2 t} , \omega_1$ and $\omega > 0 $

A

$ML^2T^4A^2$

B

$ML^{-3} T^2 A^2 $

C

$M^{-1}L^3 T^4 A^2 $

D

$ML^3 T^2 A^2$

E

$M^{-1} L^{-3} T^4 A^2 $

A

inversely proportional to $n$

B

proportional to $n^2$

C

proportional to $n$

D

inversely proportional to $n^2$

E

inversely proportional to radius of the orbit in the $n^{th}$ state

A

$6 \pi \sigma r^2 $

B

$3 \pi \sigma r^2 $

C

$24 \pi \sigma r^2 $

D

$12 \pi \sigma r^2 $

E

$9 \pi \sigma r^2 $

A

$A^3$

B

$A^2$

C

$A^{-2/3}$

D

$A^{-1/3}$

E

$A^{1/3}$

A

Z = 76; A = 200

B

Z = 84; A = 206

C

Z = 84; A = 224

D

Z = 82; A = 206

E

Z = 82; A = 200

A

$1.6 \times 10^{-3} \ rad$

B

$1.6 \times 10^{-4} \ rad$

C

$1.2 \times 10^{-3} \ rad$

D

$3.2 \times 10^{-3} \ rad$

E

$3.2 \times 10^{-4} \ rad$

A

$1.9 \ \mu F$ and $0.2 \ \mu F $

B

$(8 + 2 \sqrt{5} ) \ \mu F$ and $(2 - 2 \sqrt{5} ) \ \mu F $

C

$(5 + 2 \sqrt{5} ) \ \mu F$ and $(5 - 2 \sqrt{5} ) \ \mu F $

D

$12 \ \mu F$ and $1.7 \ \mu F $

E

$5 \ \mu F$ and $2 \ \mu F $

A

$\frac{Qq}{2} \left( \frac{1}{R_2} - \frac{1}{R_1}\right)$

B

$ - \frac{Qq}{2} \left( \frac{1}{R_2} - \frac{1}{R_1}\right)$

C

$Qq \left( \frac{1}{R_2} - \frac{1}{R_1}\right)$

D

$ - Qq \left( \frac{1}{R_2} - \frac{1}{R_1}\right)$

E

$ 2 Qq \left( \frac{1}{R_2} - \frac{1}{R_1}\right)$

A

directly proportional to the mean free path

B

directly proportional to the mass of electron

C

inversely proportional to the relaxation time

D

inversely proportional to the mean free path

E

directly proportional to the average speed of free electrons

A

$\bar{Q} + \bar{P} R $

B

$\bar{P} + \bar{Q} R $

C

$Q + P R $

D

$Q + \bar{P} R $

E

$P + QR $

A

$\frac{2 \sqrt{L}}{3 A \sigma_0}$

B

$\frac{3 \sqrt{L}}{2 A \sigma_0}$

C

$\frac{ \sqrt{L}}{3 A \sigma_0}$

D

$\frac{2 \sqrt{L}}{ A \sigma_0}$

E

$\frac{4 \sqrt{L}}{3 A \sigma_0}$

A

R = 1, T = 0, A = 0

B

R = 1, T = 1, A = 0

C

R = 0, T = 1, A = 1

D

R = 0, T = 0, A = 1

E

R = 0, T = 1, A = 0

A

$Y = \bar{P}$

B

$Y = P \bar{Q}$

C

$Y = \bar{Q}$

D

$Y = \bar{P} + Q $

E

A

$5.33 \times 10^{-8}$

B

$3.33 \times 10^{-6}$

C

$2.12 \times 10^{-8}$

D

$6.66 \times 10^{-8}$

E

$3.33 \times 10^{-8}$

A

angular momentum varies as $\frac{1}{\sqrt{R}}$

B

linear momentum varies as $\sqrt{R}$

C

frequency of revolution varies as $\frac{1}{R^2}$

D

kinetic energy varies as $\frac{1}{R}$

E

potential energy varies as R

A

I to 2I and N to 2N keeping R unchanged

B

N to N/2 and keeping I and R unchanged

C

N to 2N and R to 2R keeping I unchanged

D

R to 2R and I to 2I keeping N unchanged

E

I to 2I and keeping N and R unchanged

A

N

B

Ne

C

He

D

H

E

Li

A

The properties of the elements are the periodic functions of their atomic numbers

B

Non-metallic elements are lesser in number than the metallic elements

C

The first ionization energies of the elements along a period do not vary in a regular manner with increase in atomic number

D

For transition elements, the d-electrons are filled monotonically with increase in atomic number

E

Both (C) and (D)

A

P < Si < C < N

B

Si < P < N < C

C

Si < P < C < N

D

P < Si < N < C

E

Difficult to predict

A

7, 3.5

B

8, 3

C

6, 3

D

8, 4

E

9, 3.5

A

$NaHSO_4$

B

$Na_2SO_4$

C

$NaHSO_3$

D

$Na_2SO_3$ and $NaHSO$

E

$NaHSO_4$ and $Na_2SO_4$

A

$CaSiO_4$

B

$CaSiO_3 $

C

$Ca_3Al_2O_6$

D

$Ca_3(PO_4)_2$

E

Both (C) and (D)

A

As a coagulant in treating drinking water and sewage

B

In plastics industry

C

As a mordant in dyeing

D

In paper industry

E

Both (C) and (D)

A

3,5

B

3,6

C

3,4,5

D

3,4,6

E

None of the above

A

A green colour solution is obtained

B

A yellow solution is obtained

C

A blue-violet solution is obtained

D

A green precipitate is formed

E

A yellow precipitate is formed

A

1

B

2

C

3

D

4

E

5

A

anthracene $\to$ chlorobenzene $\to$ p-cresol

B

anthracene $\to$ p-cresol $\to$ chlorobenzene

C

chlorobenzene $\to$ p-cresol $\to$ anthracene

D

chlorobenzene $\to$ anthracene $\to$ p-cresol

E

p-cresol $\to$ anthracene $\to$ chlorobenzene

A

acetophenone

B

Phenylacetaldehyde

C

Phenylacetic acid

D

1-phenylethanol

E

2-phenylethanol

A

A, B

B

A, B, C

C

B, C

D

B, C, D

E

A, B, D

A

Nitration

B

Chlorination

C

Sulphonation

D

Alkylation

E

Acylation

A

R and S configurations correspond to the enantiomers of an optically active compound

B

The process of converting an optically active compound into a racemate is called racemization

C

A molecule containing a plane of symmetry can be optically active

D

Optical isomers that are not enantiomers are called diastereoisomers

E

All chiral objects are asymmetric

A

E2 mechanism

B

E1 mechanism

C

Rearrangement of carbocations by E1 mechanism

D

E1cB mechanism

E

Ei mechanism

A

Benzyl chloride

B

Ethyl chloride

C

Isopropyl chloride

D

Chlorobenzene

E

Isobutyl chloride

A

pent-2-yn-1-ol

B

1-hexanol

C

n-propyl alcohol

D

1-pentanol

E

1-octanol

A

Acetaldehyde

B

Ethanol

C

Acetone

D

Acetophenone

E

Propiophenone

A

Ethyl chloride

B

Methyl chloride

C

Benzyl chloride

D

Vinyl chloride

E

Allyl chloride

A

Peroxyacetic acid

B

Acetic acid

C

Chloroacetic acid

D

Trichloroacetic acid

E

Propanoic acid

A

Nitronium ion

B

Protonated nitrous acid

C

Nitrous acid

D

Nitrite ion

E

Nitrosonium ion

A

Guanine

B

Adenine

C

Cytosine

D

Uracil

E

Thymine

A

Bio-waste

B

Metal waste

C

Plastic waste

D

Chemical waste

E

Electronic waste

A

Hypnotics

B

Antimicrobials

C

Antacids

D

Antiseptics

E

Antiallergics

A

52

B

13

C

34

D

90

E

80

A

Exothermic

B

Endothermic

C

Non-spontaneous

D

Spontaneous

E

Both (B) and (C)

A

Equilibrium constant

B

$\Delta_r H^{\circ}$

C

$\Delta_r U^{\circ}$

D

Heat liberated during the course of reaction in calorimeter

E

Both (B) and (A)

A

$k [D^2]^1 [A]^2$

B

$k [D^2]^2 [A]^1$

C

$k [D^2]^1 [A]^1$

D

$k [D_2]^2 [A]^2$

E

$k [D_2]^1 [A]^0$

A

$mol^{–1} \ L \ s^{–1}$

B

$s^{–1}$

C

$mol \ L ^{-1} \ s^{–1}$

D

$mol^{–2} \ L^2 \ s^{–1}$

E

$mol^{–3} \ L^3 \ s^{–1}$

A

At high temperature

B

At high partial pressure of HI

C

At low partial pressure of HI

D

At high partial pressure of $H_2$

E

At high partial pressure of $I_2$

A

$\Delta H < 0$ and $\Delta S < 0$

B

$\Delta H > 0$ and $\Delta S < 0$

C

$\Delta H < 0$ and $\Delta S > 0$

D

$\Delta H = 0$ and $\Delta S < 0$

E

$\Delta H = 0$ and $\Delta S > 0$

A

Increases and decreases

B

Decreases and decreases

C

Decreases and increases

D

Both Mo and CO increases the rate

E

Both Mo and CO does not affect the rate

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