KEAM 2026 Pharmacy April 19 Question Paper: Download Answer Key with Solutions PDF

The number of molecules of ethane (molar mass \(=30\)) present in 3 g of pure ethane is

• (A) \(6.023\times10^{23}\) molecules
• (B) \(6.023\times10^{22}\) molecules
• (C) \(6.023\times10^{21}\) molecules
• (D) \(6.023\times10^{20}\) molecules
• (E) \(6.023\times10^{19}\) molecules

The product of uncertainty in position and uncertainty in momentum is constant. This is known as

• (A) Hund's rule
• (B) Aufbau principle
• (C) Heisenberg's principle
• (D) Einstein's principle
• (E) Bohr's correspondence principle

For a given sub-shell with azimuthal quantum number 'l' the number of magnetic quantum numbers possible is

• (A) \(l(l+1)\)
• (B) \(l+1\)
• (C) \(2(l+1)\)
• (D) \((l-1)\)
• (E) \((2l+1)\)

The number of nodal surfaces present in '4s' orbital is

• (A) three
• (B) one
• (C) two
• (D) zero
• (E) four

Americium belongs to

• (A) representative elements
• (B) chalcogens
• (C) lanthanoids
• (D) transition elements
• (E) actinoids

Which one of the following is not isoelectronic with other isoelectronic species?

• (A) \(Ca^{2+}\)
• (B) \(O^{2-}\)
• (C) \(Mg^{2+}\)
• (D) \(Na^{+}\)
• (E) \(F^{-}\)

Among the noble gas elements the one with the highest electron gain enthalpy is

• (A) helium
• (B) radon
• (C) krypton
• (D) xenon
• (E) neon

What is the shape of chlorine trifluoride?

• (A) Tetrahedral
• (B) T-shape
• (C) Trigonal planar
• (D) Seasaw
• (E) Square pyramidal

Which of the following molecule does not have zero dipole moment?

• (A) Nitrogen trifluoride
• (B) Boron trifluoride
• (C) Carbon tetrachloride
• (D) Beryllium difluoride
• (E) Methane

The bond order in \((NO^{+}\) ion is

• (A) 3
• (B) 2
• (C) 1
• (D) 2.5
• (E) 1.5

The first law of thermodynamics can be stated as

• (A) the energy of an open system only is constant.
• (B) the energy of isolated and open systems is constant.
• (C) the energy of closed and open systems is constant.
• (D) the energy of an isolated system only is constant.
• (E) the energy of a closed system only is constant.

In a free expansion of a gas

• (A) heat absorbed is zero.
• (B) work done is zero.
• (C) initial pressure is zero.
• (D) internal energy change is zero.
• (E) external pressure is zero.

Which of the following bond has the lowest mean bond enthalpy?

• (A) Br-Br
• (B) Cl-Cl
• (C) F-F
• (D) H-H
• (E) I-I

For the homogenous equilibrium \(N_{2(g)}+3H_{2(g)}=2NH_{3(g)}\), the equilibrium constants \(K_P\) and \(K_C\) are related as

• (A) \(K_{P}=K_{C}(RT)^{2}\)
• (B) \(K_{P}=K_{C}(RT)^{-2}\)
• (C) \(K_{P}=K_{C}(RT)^{-3}\)
• (D) \(K_{P}=K_{C}(RT)^{3}\)
• (E) \(K_{P}=K_{C}(RT)\)

Consider the equilibrium reaction, \(X(g)+Y(g)=W(g)+Z(g)\). The equilibrium constant \(K_C\) for the reaction is \(2.0\times10^2\) at 300 K and it decreases with increase in temperature. Which of the following is true for the reaction?

• (A) \(\Delta H<0\)
• (B) \(\Delta G<0\)
• (C) \(\Delta S<0\)
• (D) \(\Delta H>0\)
• (E) \(\Delta S>0\)

The oxidation numbers of carbon and hydrogen in methane are respectively

• (A) +4 and +1
• (B) +4 and 0
• (C) -4 and +1
• (D) -4 and -1
• (E) +4 and -1

The standard EMF of the cell \(Mg(s)|Mg^{+2}(0.01M)||Ag^{+}(0.0001M)|Ag(s)\) is 3.17 V at \(25^{\circ}C\). The EMF of the cell at the same temperature is (2.303RT/F at \(25^{\circ}C\) is 0.06V)

• (A) 3.17 V
• (B) 2.81 V
• (C) 3.35 V
• (D) 6.70 V
• (E) 3.0 V

The mass of Al deposited when 2 ampere current is passed through a solution of \(Al_2(SO_4)_3\) for 1 hour is (F = 96500 C)

• (A) 0.67 g
• (B) 1.34 g
• (C) 0.134 g
• (D) 0.355 g
• (E) 0.067 g

Hypertonic solution contains

• (A) high molecular weight solutes
• (B) low molecular weight solutes
• (C) higher than 0.9% mass/volume of NaCl
• (D) less than 0.9% mass/volume of NaCl
• (E) high osmotic pressure

Molal boiling point elevation is the least for the solvent

• (A) water
• (B) ethanol
• (C) benzene
• (D) carbon tetrachloride
• (E) cyclohexane

The decomposition of \(H_{2}O_{2}\) in the presence of \(I^{-}\) in alkaline medium has the rate law

• (A) \(-d[H_{2}O_{2}]/dt=k[H_{2}O_{2}]\)
• (B) \(-d[H_{2}O_{2}]/dt=k[H_{2}O_{2}][OH^{-}]\)
• (C) \(-d[H_{2}O_{2}]/dt=k[H_{2}O_{2}][I^{-}]\)
• (D) \(-d[H_{2}O_{2}]/dt=k[H_{2}O_{2}]^{1/2}[I^{-}]\)
• (E) \(-d[H_{2}O_{2}]/dt=k[H_{2}O_{2}][I^{-}]^{1/2}\)

The rate equation for the reaction \(xA+yB\rightarrow mC+nD\) is rate \(=k[A]^{1/2}[B]^{3/2}\) What is the total order of the reaction?

• (A) 2.0
• (B) 1.5
• (C) 1.0
• (D) 0.5
• (E) 2.5

The rate constant of a reaction at 500K is 0.02 and it increased to 0.07 at 700K. The \(E_{a}\) value of the reaction is about [Given: \(R=8.3~J~K^{-1}mol^{-1}\) and \(\log(7/2)=0.544\)]

• (A) \(180.1~kJ~mol^{-1}\)
• (B) \(36.2~kJ~mol^{-1}\)
• (C) \(54.6~kJ~mol^{-1}\)
• (D) \(42.8~kJ~mol^{-1}\)
• (E) \(18.2~kJ~mol^{-1}\)

Which of the following pair of lanthanide elements have the same atomic radii?

• (A) Lanthanum and Lutetium
• (B) Samarium and Gadolinium
• (C) Praseodymium and Holmium
• (D) Terbium and Cerium
• (E) Promethium and Dysprosium

When \(KMnO_{4}\) is heated to 513K the products formed are \(K_{2}MnO_{4}\), \(O_{2}\) and

• (A) MnO
• (B) \(Mn_{2}O_{3}\)
• (C) \(Mn_{2}O_{7}\)
• (D) \(MnO_{2}\)
• (E) \(Mn_{3}O_{4}\)

Which of the following pair of transition metal ions are diamagnetic?

• (A) \(Ti^{2+}\) and \(Mn^{2+}\)
• (B) \(Mn^{2+}\) and \(Ni^{2+}\)
• (C) \(V^{2+}\) and \(Cr^{2+}\)
• (D) \(Co^{2+}\) and \(Ni^{2+}\)
• (E) \(Sc^{3+}\) and \(Zn^{2+}\)

The hybridisation involved in nickel of the complex ion \([Ni(CN)_{4}]^{2-}\) is

• (A) \(sp^{3}\)
• (B) \(d^{2}sp^{3}\)
• (C) \(dsp^{2}\)
• (D) \(sp^{3}d\)
• (E) \(sp^{2}\)

Which of the following is a didentate ligand?

• (A) Ethane-1, 2-diamine
• (B) Chloro
• (C) Cyanido
• (D) Ammine
• (E) EDTA

When 0.25 g of an organic compound is completely oxidised with excess oxygen, 0.22 g of \(CO_{2}\) is produced. What is the percentage of carbon in the compound?

• (A) 40%
• (B) 24%
• (C) 48%
• (D) 30%
• (E) 18%

When ethene is treated with \(H_{2}\) in the presence of a catalyst, ethane is formed. This reaction is an example of

• (A) substitution reaction
• (B) elimination reaction
• (C) oxidation reaction
• (D) addition reaction
• (E) rearrangement reaction

Eclipsed and staggered forms of n-butane are

• (A) chain isomers
• (B) position isomers
• (C) rotamers
• (D) geometrical isomers
• (E) metamers

The most acidic hydrogen is present in

• (A) propene
• (B) 1, 3-butadiene
• (C) 2-butyne
• (D) propyne
• (E) n-butane

Which of the following organic halogen compound has high reactivity towards \(S_{N}1\) mechanism?

• (A) Chloroethane
• (B) Iodoethane
• (C) Chlorobenzene
• (D) 2-Chloropropane
• (E) Benzyl chloride

Grignard reagent is prepared by the action of

• (A) Na, \(H_{2}O\)
• (B) Mg, \(H_{2}O\)
• (C) Mg, dry ether
• (D) Na, dry ether
• (E) Cu, \(H_{2}O\)

The compound with the lowest pKa value is

• (A) ethanol
• (B) phenol
• (C) p-nitrophenol
• (D) o-cresol
• (E) p-cresol

2-Bromopropane reacts with Mg in dry ether to give a product which on treatment with HCHO forms an addition product. The addition product on hydrolysis forms

• (A) 1-butanol
• (B) 2-butanol
• (C) 2-propanol
• (D) 2-methyl-1-propanol
• (E) 2-methyl-2-propanol

Intramolecular hydrogen bond is present in

• (A) phenol
• (B) o-nitrophenol
• (C) p-nitrophenol
• (D) o-cresol
• (E) p-cresol

Which of the following undergoes haloform reaction?

• (A) Benzophenone
• (B) 2, 2-Dimethylpropanal
• (C) Methanal
• (D) Propanone
• (E) Propanal

Benzaldehyde reacts with \(HNO_{3}/H_{2}SO_{4}\) at 273-283 K to give

• (A) benzoic acid
• (B) m-nitrobenzoic acid
• (C) m-nitrobenzaldehyde
• (D) o-nitrobenzaldehyde
• (E) o-nitrobenzoic acid

The common name of propanedioic acid is

• (A) succinic acid
• (B) malonic acid
• (C) glutaric acid
• (D) oxalic acid
• (E) adipic acid

An aliphatic amine reacts with Hinsberg's reagent to give a product insoluble in NaOH. The amine is

• (A) ethanamine
• (B) N-methylethanamine
• (C) benzenamine
• (D) N, N-diethylethanamine
• (E) p-toludine

When ethanamide is treated with \(Br_{2}\) and NaOH in ethanolic solution we get

• (A) ethanamine
• (B) bromoethanamide
• (C) bromoethane
• (D) methanamine
• (E) 2-bromoethanamine

Benzenamine reacts with ethanoic anhydride to give

• (A) benzamide
• (B) N-phenylbenzamide
• (C) N-phenylethanamide
• (D) o-aminoacetophenone
• (E) p-ethylbenzamide

Glucose reacts with \(HNO_{3}\) to give

• (A) gluconic acid
• (B) saccharic acid
• (C) adipic acid
• (D) glyceric acid
• (E) tartaric acid

Which of the following is a sulphur containing \(\alpha\)-amino acid?

• (A) Glutamine
• (B) Asparagine
• (C) Threonine
• (D) Serine
• (E) Cysteine

The value of the measurement \(14.0\times10^{-5}+8.3\times10^{-3}\) with respect to significant figures is

• (A) \(8.4\times10^{-3}\)
• (B) \(8.314\times10^{-3}\)
• (C) \(2.43\times10^{-3}\)
• (D) \(8.44\times10^{-3}\)
• (E) \(8.440\times10^{-3}\)

The displacement of a particle moving along x-axis is given as \((x=\frac{3}{4}t^{2}-12t+3)m\). The particle will come to rest in

• (A) 4 s
• (B) 5 s
• (C) 16 s
• (D) 8 s
• (E) 6 s

If the magnitude of the vector \(\vec{P}=x\hat{i}+0.8\hat{j}+0.6\hat{k}\) is 2, then the value of x is

• (A) \(\sqrt{5}\)
• (B) 2
• (C) 3
• (D) \(\sqrt{3}\)
• (E) \(\sqrt{2}\)

The linear speed of a stone revolving 5 times in a circle of 4 cm radius in 2 minute is (in \(cm s^{-1}\))

• (A) \(\frac{\pi}{4}\)
• (B) \(\frac{2\pi}{4}\)
• (C) \(\frac{\pi}{2}\)
• (D) \(\frac{3\pi}{4}\)
• (E) \(\frac{\pi}{3}\)

When two perpendicular forces 3 N and 4 N act on a body at rest, it is accelerated to \(2 ms^{-2}\). The mass of the body is

• (A) 1.5 kg
• (B) 2.5 kg
• (C) 3 kg
• (D) 3.5 kg
• (E) 2 kg

A ball falling from a height of 20 m hits a floor and bounces back to a height of 17 m. The percentage of energy lost by the ball during the impact is

• (A) 7.5
• (B) 10
• (C) 15
• (D) 5
• (E) 20

A spring of spring constant k is cut into n pieces of equal length. The force constant of any one of the pieces is

• (A) \(\frac{n^{2}}{k}\)
• (B) \(\frac{k}{n}\)
• (C) \(nk^{2}\)
• (D) \(\frac{n}{k}\)
• (E) \(nk\)

When the total external force acting on a moving system is zero, the velocity of the center of mass

• (A) remains constant
• (B) becomes zero
• (C) increases
• (D) becomes infinity
• (E) decreases

In a steam engine, the flywheel is used to resist

• (A) the slight increase or decrease of the speed of the vehicle
• (B) the sudden increase or decrease of the speed of the vehicle
• (C) the sudden stoppage of the vehicle
• (D) only the sudden increase of the speed of the vehicle
• (E) only the slight decrease of the speed of the vehicle

When a satellite moves from the farthest stable orbit to the nearest stable orbit towards the earth, its gravitational potential energy

• (A) increases
• (B) becomes zero
• (C) remains constant
• (D) decreases
• (E) first increases then decreases

Which one is INCORRECT?

• (A) Stress is not a vector.
• (B) Young's modulus is applicable only for solids
• (C) Compressibility is relevant for solids, liquids and gases
• (D) Elastomers have larger Young's modulus than metals
• (E) Tension per unit area is equal to the tensile stress

Two different syringes having radii in the ratio 1: 5 are applied with same pressure. The forces acting on these syringes are in the ratio

• (A) 5:1
• (B) 1:10
• (C) 1:25
• (D) 25:1
• (E) 1:5

Heat supplied to a block of ice at \(0^{\circ}C\) converts it into steam at \(100^{\circ}C\). The curve that represents this change of state is

• (A)
• (B)
• (C)
• (D)
• (E)

If the diatomic molecule is non-rigid, then its molar specific heat capacity at constant volume is

• (A) \(\frac{5}{2}R\)
• (B) \(\frac{7}{2}R\)
• (C) \(\frac{1}{2}R\)
• (D) \(\frac{9}{2}R\)
• (E) \(\frac{3}{2}R\)

The displacement and acceleration of a particle oscillating simple harmonically are respectively 3.0 m and \(48.0~ms^{-2}\). The angular frequency of the particle is (in \(s^{-1}\))

• (A) 6
• (B) 3
• (C) 5
• (D) 2
• (E) 4

An organ pipe open at both the ends has its fundamental frequency 200 Hz. If one end of it is closed and the other end is kept open, the frequencies produced by it are

• (A) 200 Hz, 400 Hz, 600 Hz, 800 Hz....
• (B) 200 Hz, 300 Hz, 400 Hz, 500 Hz....
• (C) 100 Hz, 300 Hz, 500 Hz, 700 Hz....
• (D) 100 Hz, 200 Hz, 300 Hz, 400 Hz....
• (E) 200 Hz, 250 Hz, 300 Hz, 350 Hz....

If the potential difference between two points separated by a distance in a uniform electric field of 800 \(NC^{-1}\) is 16 V, then the distance of separation (in cm) is

• (A) 2.0
• (B) 3.0
• (C) 1.5
• (D) 2.5
• (E) 1.0

When filled with a dielectric, the capacitance C of a capacitor changes by 2C. Then the dielectric constant of the dielectric is

• (A) 1
• (B) 4
• (C) 5
• (D) 3
• (E) 2

The drift velocity of electrons in a linear conductor of given length under a potential can be doubled by

• (A) decreasing the potential 4 times
• (B) increasing the potential 2 times
• (C) decreasing the potential 8 times
• (D) increasing the potential 4 times
• (E) decreasing the potential 2 times

When an electric potential of 200 V is maintained between the ends of a conductor, a current of 3 A flows through it. The amount of heat energy dissipated in the time interval 25 s is

• (A) 3 kJ
• (B) 22.5 kJ
• (C) 7.5 kJ
• (D) 6 kJ
• (E) 15 kJ

In a cyclotron, the frequency of revolution of a charged particle of energy E moving in a magnetic field is f. If the energy of the charged particle in it is doubled, then the frequency of revolution of the charged particle is

• (A) f
• (B) \(\frac{f}{2}\)
• (C) 2f
• (D) \(\frac{f}{4}\)
• (E) 4f

Among the following magnetic materials, the diamagnetic material is

• (A) gadolinium
• (B) sodium
• (C) bismuth
• (D) calcium
• (E) iron

If an emf of 2 V is induced in a coil in 6 s, then the change of flux (in Wb) in the coil during the time is

• (A) 3
• (B) 24
• (C) 6
• (D) 18
• (E) 12

If the force due to sun's radiation on surface area of \(cm^{2}\) is about \(9\times10^{-9}N\), then the radiation pressure of the sun's radiation (in \(Nm^{-2}\)) is

• (A) \(1.8\times10^{-6}\)
• (B) \(4.5\times10^{-6}\)
• (C) \(3.6\times10^{-6}\)
• (D) \(2.45\times10^{-6}\)
• (E) \(1.2\times10^{-6}\)

5 thin lenses each of 20 cm focal length are placed in contact with each other. The net power of this lens combination is

• (A) 5D
• (B) 20 D
• (C) 10 D
• (D) 25 D
• (E) 15 D

In Young's double slit experiment, monochromatic light of 500 nm falls on the slits separated by a distance of 2 mm. If the screen is 2 m away from the source, then the fringe width is

• (A) 5 mm
• (B) 2.0 mm
• (C) 0.5 mm
• (D) 2.5 mm
• (E) 1.5 mm

The work function of a material that has the threshold frequency of \(5\times10^{14}Hz\) is (\(h = 6.626\times10^{-34}\) Js)

• (A) 3.09eV
• (B) 5.35eV
• (C) 4.14eV
• (D) 2.07 eV
• (E) 1.03eV

The energy of the electron in third excited state of the hydrogen atom is

• (A) -0.54 eV
• (B) -1.51 eV
• (C) -13.6 eV
• (D) -3.4 eV
• (E) -0.85 eV

The expected mass of \({}_{6}^{12}C\) nucleus is (Mass of neutron is 1.00866 u; Mass of proton is 1.00727 u)

• (A) 8.0637 น
• (B) 12.0956 u
• (C) 6.0478 u
• (D) 2.0159 น
• (E) 10.0797 u

If the voltage applied to a diode having forward bias resistance of 1 \(\Omega\) is changed from 0.6 V to 0.9 V, the change in current in it is

• (A) 300 mA
• (B) 250 mA
• (C) 400 mA
• (D) 450 mA
• (E) 750 mA