UPCATET Question Paper 2025 (Available):Download Solutions with Answer Key June 12

De-Broglie wavelength of \(\alpha\) particle is the same as that of a proton moving with (1/10) of velocity as the speed of light. The ratio of K.E. of proton to that of \(\alpha\) particle is:

• (a) 2:1
• (b) 1:4
• (c) 4:3
• (d) 4:1

In hydrogen spectrum, the shortest wavelength in the Balmer series is \( \lambda \). The shortest wavelength in the Bracket series is:

• (a) \( 4 \lambda \)
• (b) \( 9 \lambda \)
• (c) \( 16 \lambda \)
• (d) \( 2 \lambda \)

Which property of light is used in an optical fiber?

• (a) Interference
• (b) Total internal reflection
• (c) Diffraction
• (d) Scattering

An intrinsic semiconductor is converted into n-type extrinsic semiconductor by doping it with:

• (a) Germanium
• (b) Phosphorus
• (c) Aluminium
• (d) Silver

A body of mass \( m = 3.513 \, kg \) is moving along the X-axis with a speed of \( 5.00 \, ms^{-1} \). The magnitude of its momentum is recorded as:

• (a) \( 17.6 \, kg ms^{-1} \)
• (b) \( 17.565 \, kg ms^{-1} \)
• (c) \( 17.56 \, kg ms^{-1} \)
• (d) \( 17.57 \, kg ms^{-1} \)

An object of mass \( 3 \, kg \) is at rest. Now a force of \( \vec{F} = 6t^2 \hat{i} + 4t \hat{j} \) is applied on the object. The velocity of the object at \( t = 3 \, s \) is:

• (a) \( 18 \hat{i} + 3 \hat{j} \)
• (b) \( 18 \hat{i} + 6 \hat{j} \)
• (c) \( 3 \hat{i} + 18 \hat{j} \)
• (d) \( 18 \hat{i} + 4 \hat{j} \)

A particle of mass \( m \) kg is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of \( 45^\circ \) with the initial vertical direction is:

• (a) \( \frac{mg}{\sqrt{2}} \)
• (b) \( mg (\sqrt{2} - 1) \)
• (c) \( mg \)
• (d) \( mg \sqrt{2} \)

AU measures:

• (A) Temperature
• (B) Distance
• (C) Weight
• (D) Time

T² vs l graph represents:

• (A) A parabola
• (B) A straight line passing through the origin
• (C) A hyperbola
• (D) A horizontal line

In the given circuit, the equivalent resistance between points A and D is:

 

• (A) \( 20 \, \Omega \)
• (B) \( 25 \, \Omega \)
• (C) \( 35 \, \Omega \)
• (D) \( 40 \, \Omega \)

If an 18 \(\Omega\) resistance wire is bent into the shape of an equilateral triangle, then the equivalent resistance across the ends of any side = ?

• (A) \( 2 \, \Omega \)
• (B) \( 4 \, \Omega \)
• (C) \( 6 \, \Omega \)
• (D) \( 12 \, \Omega \)

If the weight of an object is 200 Newtons, then the weight of the object at the midpoint between the Earth's surface and the Earth's center will be:

• (A) \( 50 \, N \)
• (B) \( 100 \, N \)
• (C) \( 150 \, N \)
• (D) \( 200 \, N \)

The given reaction is known as:
\[ PhCH_2CN + SnCl_2 + HCl \xrightarrow{H_3O^+} PhCH_2CH=NH \]

• (a) Rosenmund reaction
• (b) Stephen reaction
• (c) Etard reaction
• (d) Gatterman-Koch reaction

Given below are two statements:

Statement I: Propene on treatment with diborane gives an addition product with the formula \( \left( (CH_3)_2 CH \right)_3 B \)

Statement II: Oxidation of \( \left( (CH_3)_2 CH \right)_3 B \) with Hydrogen peroxide in the presence of NaOH gives propan-2-ol


In the light of the above statements, choose the most appropriate answer from the options given below:

• (a) Statement I is correct but Statement II is incorrect
• (b) Statement I is incorrect but Statement II is correct
• (c) Both Statement I and Statement II are correct
• (d) Both Statement I and Statement II are incorrect

Which of the following aldehydes does not form iodoform on heating with \(\mathrm{I_2}\) and alkali?

• (a) \(\mathrm{CH_3-C-CHO}\)
• (b) \(\mathrm{I-CH_2-CHO}\)
• (c) \(\mathrm{CH_3CH_2CHO}\)
• (d) \(\mathrm{CH_3-CH-CHO}\)

Statement (A): Alkyl halides are not soluble in water.

Statement (B): Alkyl halides do not form H-bonds with water molecules through alkyl halide, but they are polar in nature.

In light of the above statements, choose the most appropriate answer from the options given below:

• (a) Statement (A) is correct, B is incorrect
• (b) Statement (A) is incorrect, B is correct
• (c) Both are incorrect
• (d) Both statements are correct

Relation between rate constant and half-life for a first-order reaction is:

• (a) \( t_{1/2} = \frac{0.693}{K} \)
• (b) \( K = \frac{t_{1/2}}{0.693} \)
• (c) \( t_{1/2} = 0.693 + K \)
• (d) \( t_{1/2} = \frac{K}{0.693} \)

An element has two isotopes having atomic masses 10 and 15 u, respectively. If the percent abundance of lighter isotopes is 80%, then the average atomic mass of the element is:

• (a) \( 9 \, u \)
• (b) \( 11 \, u \)
• (c) \( 12 \, u \)
• (d) \( 14 \, u \)

If 0.01 mol of \(\mathrm{P_4O_{10}}\) is removed from 0.1 mol, then the remaining molecules of \(\mathrm{P_4O_{10}}\) will be:

• (a) \( 2.7 \times 10^{22} \)
• (b) \( 5.4 \times 10^{23} \)
• (c) \( 5.4 \times 10^{22} \)
• (d) \( 1.35 \times 10^{23} \)

If a radiation of energy \( 4.25 \, eV \) falls on a metal surface, then the maximum kinetic energy of ejected electrons will be (work function of metal is \( 2.25 \, eV \)).

• (a) \( 4.5 \times 10^{-16} \, J \)
• (b) \( 6.5 \times 10^{-19} \, J \)
• (c) \( 3.2 \times 10^{-19} \, J \)
• (d) \( 1.6 \times 10^{-19} \, J \)

Incorrect match of IUPAC symbol of elements with its respective atomic number is:

• (a) Sg – 106
• (b) Mt – 109
• (c) Bh – 105
• (d) Hs – 108

Polar molecule among the following is:

• (a) \(\mathrm{BF_3}\)
• (b) \(\mathrm{XeF_4}\)
• (c) \(\mathrm{CCl_4}\)
• (d) \(\mathrm{NH_3}\)

Minimum bond length is of:

• (a) \(\mathrm{O_2}\)
• (b) \(\mathrm{O_2^+}\)
• (c) \(\mathrm{O_2^-}\)
• (d) \(\mathrm{O_2^{2-}}\)

No work is done during free expansion of an ideal gas:

• (A) Only in reversible isothermal process
• (B) Only in irreversible isothermal process
• (C) Both in reversible and irreversible isothermal process
• (D) Only in reversible adiabatic process but not in irreversible adiabatic process

Hybridisation of \(\mathrm{Ni}\) in \(\left[\mathrm{Ni}(\mathrm{CN})_4\right]^{2-}\) is:

• (A) \( s p^3 \)
• (B) \( d s p^2 \)
• (C) \( s p \)
• (D) \( s p^3 d \)

Unit of \( K_C \) for equilibrium:

• (A) \( mol L^{-1} \)
• (B) \( L mol^{-1} \)
• (C) \( mol^2 L^{-2} \)
• (D) Dimensionless

Solubility of \(\mathrm{AgCl}\) in \(10^{-2} M \mathrm{NaCl}\) solution is (\( K_{sp_{\mathrm{AgCl}}} = 1.8 \times 10^{-10} \)):

• (A) \( 10^{-2} M \)
• (B) \( 1.8 \times 10^{-12} M \)
• (C) \( 1.8 \times 10^{-8} M \)
• (D) \( 1.8 \times 10^{-2} M \)

In the balanced redox reaction \(\mathrm{Cr}_2\mathrm{O}_7^{2-} + \mathrm{SO}_3^{2-} \longrightarrow \mathrm{Cr}^{3+} + \mathrm{SO}_4^{2-}\), the ratio of the number of \(\mathrm{Cr}_2\mathrm{O}_7^{2-}\) ions to \(\mathrm{SO}_4^{2-}\) ions is:

• (A) \( 1:1 \)
• (B) \( 1:2 \)
• (C) \( 1:3 \)
• (D) \( 2:3 \)

Oxidation number of hydrogen is (-1) in:

• (A) \(\mathrm{NaH}_2\mathrm{PO}_4\)
• (B) \(\mathrm{NaHSO}_4\)
• (C) \(\mathrm{NaBH}_4\)
• (D) \(\mathrm{H}_2\)

The group which shows \(-I\) and \(-R\) effect is:

• (A) \(-\mathrm{Cl}\)
• (B) \(-\mathrm{OR}\)
• (C) \(-\mathrm{NO}_2\)
• (D) \(-\mathrm{NHCOR}\)

Correct order of first ionisation energy of B, In, Ga, and Al is:

• (A) \(\mathrm{B} > \mathrm{Al} > \mathrm{Ga} > \mathrm{In}\)
• (B) \(\mathrm{B} > \mathrm{Ga} > \mathrm{Al} > \mathrm{In}\)
• (C) \(\mathrm{B} > \mathrm{In} > \mathrm{Ga} > \mathrm{Al}\)
• (D) \(\mathrm{Al} > \mathrm{B} > \mathrm{Ga} > \mathrm{In}\)

Which among the following is not an aromatic species:

• (A) Benzene
• (B) Cyclopentadienyl anion
• (C) Cyclobutadiene
• (D) Pyrrole

Benzene on reaction with benzoyl chloride in the presence of anhydrous \(\mathrm{AlCl}_3\) forms:

• (A) Acetophenone
• (B) Benzophenone
• (C) Phenyl benzoate
• (D) Benzoic anhydride

The emf of the cell \(\mathrm{Ni}_{(s)} \left| \mathrm{Ni}^{2+}(0.16 \, \mathrm{M}) \right| \mathrm{Ag}^{+}(0.002 \, \mathrm{M}) \left| \mathrm{Ag}_{(s)} \right.\) is (\(E^0_{cell} = 1.05 \, \mathrm{V}\)):

• (A) \(-0.91 \, \mathrm{V}\)
• (B) \(+0.46 \, \mathrm{V}\)
• (C) \(+0.91 \, \mathrm{V}\)
• (D) \(-0.75 \, \mathrm{V}\)

How many structural isomers does \(\mathrm{C}_7\mathrm{H}_{16}\) have:

• (A) 66
• (B) 7
• (C) 8
• (D) 9

Molecularity of a reaction can be:

• (A) Zero
• (B) \(-2\)
• (C) 1
• (D) 0.5

Cell constant is equal to:

• (A) Conductivity \(\times\) Resistance
• (B) Conductivity / Resistance
• (C) \(\frac{1}{A}\)
• (D) (A) and (C) both

In which of the following elements the 6d orbital is vacant:

• (A) Lr
• (B) \(\mathrm{Cm}\)
• (C) \(\mathrm{Np}\)
• (D) \(\mathrm{Fm}\)

Optical isomerism is shown by:

• (A) \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_5\left(\mathrm{NO}_2\right)\right]^{+}\)
• (B) \(\left[\mathrm{Co}(\mathrm{en})_3\right]^{3+}\)
• (C) \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right]^{+}\)
• (D) \(\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_3 \mathrm{Cl}_3\right]\)

For the same metal, same ligands, and metal-ligand distances, the correct relation is:

• (A) \(4 \Delta_t = 9 \Delta_o\)
• (B) \(2 \Delta_t = 7 \Delta_o\)
• (C) \(9 \Delta_t = 4 \Delta_o\)
• (D) \(3 \Delta_t = 5 \Delta_o\)

The coordination number and oxidation number of \(\mathrm{Cr}\) in \(\mathrm{K}\left[\mathrm{Cr}\left(\mathrm{H}_2\mathrm{O}\right)_2\left(\mathrm{C}_2\mathrm{O}_4\right)_2\right]\) are:

• (A) 4 and \(+3\)
• (B) 3 and \(+3\)
• (C) 6 and \(+2\)
• (D) 6 and \(+3\)

Electrophile used in Kolbe’s reaction is:

• (A) Carbondioxide
• (B) Dichlorocarbene
• (C) Carbommonoxide
• (D) Acyl carbocation

Schiff’s base is formed by the reaction of aldehyde with:

• (A) Ammonia
• (B) Amines
• (C) Hydrazine
• (D) Phenyl hydrazine

Denaturation of alcohol is done by the help of:

• (1) \(\mathrm{CuSO_4}\) + Pyridine
• (2) \(\mathrm{H_2SO_4}\)
• (3) \(\mathrm{ZnSO_4}\)
• (4) \(\mathrm{HCl}\)

The compound which does not react with ammonical silver nitrate solution is:

• (A) 2-methyl propanal
• (B) 2-methyl cyclopentanone
• (C) 3-methyl benzaldehyde
• (D) Methanoic acid

When benzene diazonium chloride is treated with ethanol, the product obtained is:

• (A) Aniline
• (B) Phenetole
• (C) Benzene
• (D) p-Chloro phenol

The amine which is most basic in gas phase is:

• (A) \(\mathrm{CH}_3\mathrm{NH}_2\)
• (B) \(\mathrm{NH}_3\)
• (C) \(\left(\mathrm{CH}_3\right)_2\mathrm{NH}\)
• (D) \(\left(\mathrm{CH}_3\right)_3\mathrm{N}\)

Which among the following is fibrous protein:

• (A) Keratin
• (B) Insulin
• (C) Myosin
• (D) Both (A) and (C)

Which of the following amines will give most easily \(\mathrm{N}_2\) gas on treatment with \(\mathrm{NaNO}_2 + \mathrm{HCl}\) at 275 K:

• (A) \(\mathrm{C}_2\mathrm{H}_5\mathrm{NH}_2\)
• (B) \(\mathrm{C}_6\mathrm{H}_5\mathrm{NHCH}_3\)
• (C) \(\mathrm{C}_6\mathrm{H}_5\mathrm{NH}_2\)
• (D) \(\left(\mathrm{CH}_3\right)_3\mathrm{N}\)

Which of the following is a double salt:

• (A) \(\mathrm{KCl} \cdot \mathrm{MgCl}_2 \cdot 6\mathrm{H}_2\mathrm{O}\)
• (B) \(\mathrm{FeSO}_4 \cdot \left(\mathrm{NH}_4\right)_2\mathrm{SO}_4 \cdot 6\mathrm{H}_2\mathrm{O}\)
• (C) \(\mathrm{KAl}\left(\mathrm{SO}_4\right)_2 \cdot 12\mathrm{H}_2\mathrm{O}\)
• (D) All of above

Which of the following fluid has \(\mathrm{pH} < 7\):

• (A) Egg white
• (B) Sea water
• (C) Human blood
• (D) Human saliva

Ratio of time required for 99% completion vs 90% completion of a first order reaction is:

• (a) \(\frac{99}{90}\)
• (b) 2
• (c) \(\frac{10}{9}\)
• (d) 1