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MHT-CET 2025 (26 April Shift II), Paper II, Physics & Chemistry question paper

100 questions · 100 marks · 90 minutes · +1 per correct answer, no negative marking

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Physics

50 questions

  1. 1
    The magnetic moment of electron due to orbital motion is proportional to ( n=n = principal quantum number)

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  2. 2
    A same torque is applied to a disc and a ring of equal mass and radii then

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  3. 3
    A capacitor of unknown capacity is connected across a battery of V volt. The charge stored in it is Q coulomb. When potential across the capacitor is reduced by V1V_{1} volt, the charge stored in it becomes Q1Q_{1} coulomb. The potential VV is

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  4. 4
    If p-n junction diode is forward biased, then

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  5. 5
    Two spherical black bodies have radii ' R1R_{1} ' and ' R2R_{2} '. Their surface temperatures are ' T1T_{1} ' and ' T2T_{2} '. If they radiate same power, then R2R1\frac{R_{2}}{R_{1}} is

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  6. 6
    Lorentz magnetic force is acting on a particle of charge qq moving with velocity V→\overrightarrow{V} in a magnetic field B→\overrightarrow{B}. The work done by this force on the charged particle is

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  7. 7
    Graph shows the variation of fringe width (X) versus distance of the screen from the plane of the slits (D) in Young's double slit experiment. (keeping other parameters same, d=d = distance between the slits). The wavelength of light used can be calculated as

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  8. 8
    The point charges +q,−q,−q,+q,+Q+q, -q, -q, +q, +Q and −q-q are placed at the vertices of a regular hexagon ABCDEF as shown in figure. The electric field at the centre of hexagon ' OO ' due to the five charges at A,B,C,DA,B,C,D and F is twice the electric field at centre ' O ' due to charge +Q at E alone. The value of Q is

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  9. 9
    The frequency at resonance for the circuit is

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  10. 10
    The work done in splitting a water drop of radius RR into 64 droplets is ( T=T= surface tension of water)

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  11. 11
    Refractive index of a glass convex lens is 1.5 . The radius of curvature of each of the two surfaces of the lens is 40 cm . The ratio of the power of the lens when immersed in a liquid of refractive index 1.25 o that when placed in air is

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  12. 12
    A solid sphere at rests rolls down an inclined plane of vertical height hh without sliding. Its speed on reahing the bottom of plane is ( g=g = acceleration due to gravity)

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  13. 13
    A simple pendulum is suspended from ceiling of a lift when lift is at rest its period is ' TT '. With what acceleration 'a' should lift be accelerated upward in order to reduce the period to ' T′2\frac{T^{'}}{2} ? (take ' g ' as acceleration due to gravity)

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  14. 14
    Five capacitors, each of capacitance ' CC ' are connected as shown in the figure. The ratio of equivalent capacitance between P and R and the equivalent capacitance between PP and QQ is

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  15. 15
    Let EeE_{e} and EpE_{p} represents kinetic energy of electron and photon respectively. If de-Broglie wavelength of a photon is twice the de-Broglie wavelength of an electron then Ep/EeE_{p}/E_{e} is (speed of electron =C/100= C/100 where C is the velocity of light)

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  16. 16
    The fundamental frequency of an air column in a pipe closed at one end is 150 Hz . If the same pipe is open at both the end, the frequencies produced in Hz are

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  17. 17
    When the observer moves towards a stationary source with velocity V1V_{1}, the apparent frequency of emitted note is F1F_{1}. When observer moves away from the source with velocity V1V_{1}, the apparent frequency is F2F_{2}. If VV is the velocity of sound in air and F1/F2=2F_{1}/F_{2}= 2 then V/V1V/V_{1} is equal to

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  18. 18
    An ideal gas taken through a process ABCAABCA as shown in figure. If the net heat supplied to gas in the cycle is 5 J , then the work done by the gas in process from CC to AA is

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  19. 19
    In Young's double slit experiment, in an interference pattern second minimum is observed exactly in front of one slit. The distance between the two coherent sources is ' d ' and the distance between source and screen is ' DD '. The wavelength of light source used is

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  20. 20
    In an a.c. circuit containing L,C,RL,C,R in series the ratio of true power to apparent power is ( Z=Z = impedance of the circuit and R is the resistance)

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  21. 21
    Two wires of equal lengths are bent in the form of a square and a circular loop. They are suspended in a uniform magnetic field and same current is passed through them. Torque experienced by

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  22. 22
    A calorimeter contains 10 g of water at 20∘C20^{\circ}C. The temperature fall to 15∘C15^{\circ}C in 10 min . When calorimeter contains 20 g of water at 20∘C20^{\circ}C, it takes 15 min . for the temperature to become 15∘C15^{\circ}C. The water equivalent at the calorimeter is

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  23. 23
    Under isothermal conditions, two soap bubbles of radii r1r_{1} and r2r_{2} coalesce to form a big drop. The radius of the big drop is

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  24. 24
    The frequencies for series limit of Balmer and Panchen series are ' V1V_{1} ' and ' V3V_{3} ' respectively. If frequency of first line of Balmer series ' V2V_{2} ' then the relation between V1,V2V_{1},V_{2} and V3V_{3} is

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  25. 25
    Two cylinders A and B fitted with piston contain equal amount of an ideal diatomic gas at temperature T K. The piston of cylinder A is free to move while that of cylinder B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise of temperature of the gas in A is dTAdT_{A}, then the rise in temperature of the gas in B is (γ=CpCv)\left( \gamma=\frac{C_{p}}{C_{v}} \right)

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  26. 26
    In a certain 2 -inputs logic gate, when inputs A=0A = 0 and B=0B = 0, then output C=1C = 1. And also when inputs =0, B=1= 0,\text{ }B = 1, then again output C=1C = 1. The gate must be

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  27. 27
    The vector sum of two forces A→\overrightarrow{A} and B→\overrightarrow{B} is perpendicular to their vector difference. Hence forces A→\overrightarrow{A} and B→\overrightarrow{B} are

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  28. 28
    In the following circuit, current through ACB if each resistance R=4ΩR = 4\Omega is

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  29. 29
    A particle is performing S.H.M. starting from extreme position. Graphical representation shows that between displacement and acceleration, there is a phase difference of

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  30. 30
    The plot of magnetic flux ' ϕ\phi ' linked with the coil versus current ' II ' is as shown in figure for two inductors L1L_{1} and L2L_{2}. The self inductance of

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  31. 31
    A musical instrument ' P ' produce sound waves of frequency ' nn ' and amplitude ' AA '. Another musical instrument ' QQ ' produces sound waves of frequency n4\frac{n}{4}. The waves produced by ' P ' and ' QQ ' have equal energies. If the amplitude of waves produced by ' P ' is ' ApA_{p} ', the amplitude of waves produced by ' QQ ' will be

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  32. 32
    A long rectangular conducting loop of width ' ll ', mass ' mm ' and resistance ' RR ' is placed partly in a perpendicular magnetic field ' B '. It is pushed downwards with velocity ' VV ' so that it may continue to fall freely. The velocity ' VV ' is

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  33. 33
    The depth at which acceleration due to gravity becomes gn\frac{g}{n} is (R=(R = radius of earth, g=g = acceleration due to gravity) ( n=n = integer)

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  34. 34
    The polarizing angle of transparent medium is ' θ\theta '. Let the speed of light in the medium be ' vv '. Then the relation between ' θ\theta ' and ' vv ' is [ c=c= velocity of light in air]

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  35. 35
    A black sphere has radius RR whose rate of radiation is E at temperature T . If radius is made [R/2][R/2] and temperature 3T, the rate of radiation will be

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  36. 36
    For a transistor, αdc\alpha_{dc} and βdc\beta_{dc} are the current ratios, then the value of βdc−αdcαdc×βdc\frac{\beta_{dc}-\alpha_{dc}}{\alpha_{dc}\times\beta_{dc}}.

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  37. 37
    Two coils PP and QQ are kept near each other. When no current flows through coil P and current increases in coil Q at the rate 10 A/s10\,A/s, the emf in coil PP is 12 mV. When coil QQ carries no current and current of 1.5 A flows through coil P, the magnetic flux linked with the coil Q in mWb is

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  38. 38
    A mass ' M ' is suspended by a rope from a rigid support at point ' P ' as shown in figure. Another rope is tied at end ' Q ' and pulled horizontally with a force ' FF '. If the rope makes an angle ' θ\theta ' with vertical, then the tension in the string ' PQ ' is

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  39. 39
    A mass ' M ' attached to a horizontal spring executes S.H.M. of amplitude A1A_{1}. When the mass M passes through its mean position, then a smaller mass ' mm ' is placed over it and both of them move together with amplitude A2A_{2}. The ratio (A1A2)\left( \frac{A_{1}}{A_{2}} \right) is

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  40. 40
    The function of a dielectric in a capacitor is

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  41. 41
    When one end of the capillary is dipped in water, the height of water column is ' hh '. The upward force of 108 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary is (surface tension of water =7.2×10−2 N/m= 7.2 \times10^{- 2}\text{ }N/m )

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  42. 42
    The graph shows the variation of photocurrent with anode potential for four different radiations. Let Ia,Ib,IcI_{a},I_{b},I_{c} and IdI_{d} are intensities and fa,fb,fcf_{a},f_{b},f_{c} and fdf_{d} be the frequencies for the curves a,b,ca,b,c and d respectively, then

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  43. 43
    A car moving at a speed ' VV ' is stopped in a certain distance when the breaks produce a deceleration ' aa '. If the speed of the car is ' nvnv ', what must be the deceleration of the car to stop it in the same distance and in the same time?

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  44. 44
    A radioactive element has rate of disintegration 8000 disintegrations per minute at a particular instant. After four minutes it becomes 2000 disintegrations per minute. The decay constant per minute is

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  45. 45
    The closed and open organ pipes have same length. When they are vibrating simultaneously in first overtone, they produce four beats. The length of open pipe is made half and that of the closed pipe is made two times the original. Now the number of beats produced if the two pipes are vibrating in their fundamental modes simultaneously is

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  46. 46
    In series LCR circuit R = 18Ω18\Omega and impedance is 30Ω30\Omega. An rms voltage 210 V is applied across the circuit. The true power consumed in AC circuit is nearly

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  47. 47
    In the thermodynamic processes, which of the following statements is NOT true?

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  48. 48
    In an experiment four quantities p,q,rp, q, r and ss are measured with percentage errors 3%,2%,3%3\%, 2\%, 3\% and 1%1\% respectively. Quantity 'AA' is calculated as follows A=pq2r2s4A = \frac{pq^2}{r^2s^4}, the percentage error in 'AA' is

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  49. 49
    A man standing on a turntable is rotating at a certain angular frequency with his arms outstretched. He suddenly folds his arms. If his moment of inertia with folded arms is 75%75\% of that with outstretched arms, then his rotational kinetic energy will

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  50. 50
    Kirchhoff's voltage law and current law are based (respectively) on the conservation of

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Chemistry

50 questions

  1. 51
    Calculate number of molecules present in 5.4 g of urea (Molar mass of urea =60 g mol−1= 60\text{ }g{\text{ }mol}^{- 1} ).

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  2. 52
    The common name of Benzene- 1, 2-diol is

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  3. 53
    The solubility product of salt B2 AB_{2}\text{ }A is 3.2×10−113.2 \times10^{- 11} at 298 K . What is solubility of the salt at same temperature?

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  4. 54
    Identify the product formed when Hex-3-enenitrile is reduced with diisobutylaluminium hydride followed by acid hydrolysis?

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  5. 55
    Which of the following xenon compound has chlorine pentafluoride like structure?

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  6. 56
    Calculate cryoscopic constant of solvent if depression in freezing point of 0.18 m solution of nonvolatile solute is 0.2 K

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  7. 57
    What is the natural source of salicylic acid?

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  8. 58
    Calculate the number of unit cells in 1 cm31\ \text{cm}^3 of an element if unit cell edge length is 2.0×10−8 cm2.0 \times 10^{-8}\ \text{cm}.

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  9. 59
    Identify the carbon atom numbered from C1′C_{1}^{'} to C5C_{5} of monosaccharide unit of DNA nucleotide that lacks oxygen atom from -OH group.

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  10. 60
    What is the oxidation number of carbon in methanal?

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  11. 61
    Which from following is the most commonly used refrigerant Freon-12?

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  12. 62
    Which among the following salts turns red litmus blue in its aqueous solution?

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  13. 63
    Identify ' BB ' in the following sequence of reactions. Acetic acid →Δ Thionylchloride A→ Ammonia B\xrightarrow[\Delta]{\text{~Thionylchloride~}}A\xrightarrow{\text{~Ammonia~}}B

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  14. 64
    A container consists mixture of four gases as 5 gH2,8 gHe,50 gCO25\text{ }gH_{2},8\text{ }gHe,50\text{ }gCO_{2} and 20 g Ne at a certain temperature. Which of the following gases exerts minimum partial pressure?

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  15. 65
    Calculate the work done if 1 mole of certain gas compressed isothermally and reversibly at 300 K from initial pressure xx bar to final pressure 2x2x bar [R=8.314 J K−1 mol−1]\left\lbrack R = 8.314\text{ }J{\text{ }K}^{- 1}{\text{ }mol}^{- 1} \right\rbrack

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  16. 66
    Which from following compounds has lowest boiling point?

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  17. 67
    Calculate the radius of an atom of an element in pm if it forms bcc unit cell structure having edge length 4.3×10−8 cm4.3 \times 10^{-8}\ \text{cm}.

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  18. 68
    Identify acidic amino acid from following list represented by three letter symbols.

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  19. 69
    What is the number of unpaired electrons in f orbitals of lutetium in its +3 oxidation state?

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  20. 70
    Which of the following elements has highest electronegativity?

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  21. 71
    What is the product obtained when alkene is reacted with cold and dilute alkaline potassium permanganate?

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  22. 72
    A complex reaction takes place in following steps. NO2Cl(g)⟶NO2(g)+Cl(g)NO_{2}Cl_{(g)}\longrightarrow NO_{2(g)}+Cl_{(g)} (slow) NO2Cl(g)+Cl(g)⟶NO2(g)+Cl2(g)NO_{2}Cl_{(g)}+Cl_{(g)}\longrightarrow NO_{2(g)}+Cl_{2(g)} (fast) Identify rate law equation for this reaction.

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  23. 73
    Which among the following has highest boiling point?

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  24. 74
    Which of the following is correct decreasing order of bond length regarding N2,O2N_{2},O_{2} and Cl2Cl_{2} ?

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  25. 75
    Calculate the standard enthalpy change of following reaction.
    CH4( g)+2O2( g)→CO2( g)+2H2O(l)CH_{4(\text{ }g)}+ 2O_{2(\text{ }g)}\rightarrow CO_{2(\text{ }g)}+ 2H_{2}O_{(\mathcal{l})}
    if ΔtH∘(CH4)=−75 kJ mol−1\Delta_{t}H^{\circ}\left( CH_{4} \right)= - 75\text{ }kJ{\text{ }mol}^{- 1}
    ΔtH∘(CO2)=−390 kJ mol−1ΔrH∘(H2O)=−286 kJ mol−1\begin{gathered}\Delta_{t}H^{\circ}\left( CO_{2} \right)= - 390\text{ }kJ{\text{ }mol}^{- 1} \\ \Delta_{r}H^{\circ}\left( H_{2}O \right)= - 286\text{ }kJ{\text{ }mol}^{- 1}\end{gathered}

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  26. 76
    What is reduction potential of hydrogen gas electrode when pure hydrogen gas is at 1 atmospheric pressure and platinum electrode is in contact with HCl solution of pH 1 at 298 K ?

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  27. 77
    Identify tertiary amine from following.

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  28. 78
    Which of the following aqueous solutions having same molality exhibits maximum boiling point elevation? (Assume complete dissociation)

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  29. 79
    Identify the monomers used in preparation of dacron.

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  30. 80
    Identify least stable species from following.

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  31. 81
    Which instrument is used for determination of particle size?

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  32. 82
    Identify ' AA ' in the following reaction. A+A + chloromethane →Anhydrous AlCl3\xrightarrow{\text{Anhydrous AlCl}_3} 2-chlorotoluene + 4-chlorotoluene

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  33. 83
    What is the average rate of reaction when change in concentration of product is 0.05 M in 20 seconds?

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  34. 84
    Identify the product 'A' in the following reaction, Anisole →398 KHIA+\xrightarrow[398\ K]{HI}A + Iodomethane

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  35. 85
    "Pairing of electrons in the orbitals belonging to the same subshell does not occur unless each orbital belonging to that subshell has got one electron each." This statement is known as

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  36. 86
    What is oxidation state of xenon in xenon mono oxytetra fluoride?

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  37. 87
    Calculate the mole fraction of pure liquid BB in solution if total vapour pressure of solution, vapour pressure of pure liquid A and vapour pressure of pure liquid B are 500 mm Hg , 400 mm Hg and 575 mm Hg respectively at given temperature.

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  38. 88
    What happens to the emf for the cell,  −Zn(s)∣Zn(1M)∥Ag+1(1M)∣Ag(s)+\ ^{-}Zn_{(s)}\left| Zn(1M)\|Ag^{+ 1}(1M) \right|Ag_{(s)}^{+}if concentration of Ag+1Ag^{+ 1} decreases to 0.1 M ?

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  39. 89
    The attractive interactions between cations and mobile electrons in metallic solid is called

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  40. 90
    Identify weak field ligand from following.

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  41. 91
    What is the value of spin only magnetic moment for Cu2+Cu^{2 +} in BM?

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  42. 92
    Identify role of glycerol in following reaction.
    2H2O2(l)→ glycerol 2H2O(l)+O2(g)2H_{2}O_{2(l)}\xrightarrow{\text{~glycerol~}}2H_{2}O_{(l)}+O_{2(g)}

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  43. 93
    Which of the following is a Fitting reaction?

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  44. 94
    The slope of a graph log⁡[A]t\log\lbrack A\rbrack_{t} versus ' tt ' for first order reaction is −2.5×10−3 s−1- 2.5 \times10^{- 3}{\text{ }s}^{- 1}. Find rate constant of the reaction?

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  45. 95
    Identify the product formed in the following reaction. CH3CH2MgBr→ ii) dil. HCl  i) Dry ice/ dry ether CH_{3}CH_{2}MgBr\xrightarrow[\text{~ii) dil. HCl~}]{\text{~i) Dry ice/ dry ether~}} Product

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  46. 96
    What is pH of weak dibasic acid, that is 2%2\% dissociated in its M/100 solution at 298 K ?

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  47. 97
    Identify from following the correct set of thermodynamic conditions for the reaction to be spontaneous at all temperature.

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  48. 98
    Which of the following net cell reaction takes place in a galvanic cell containing copper electrode and standard hydrogen electrode?
    E∘(Cu(aq)+2ICu(s))=+0.34 VE^{\circ}\left( Cu_{(aq)}^{+ 2}ICu_{(s)} \right)= + 0.34\text{ }V

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  49. 99
    Identify neutral complex from following. (a) Tetracyanonickelate (II) ion (d) Sodiumhexafluoraluminate (III) (c) Triamminetrinitrocobalt (III) (b) Tetraamminecopper (II) ion

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  50. 100
    Which from following polymers is used to obtain surgical sutures?

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