| Post Name | Higher Secondary School Teacher (Junior) - Physics |
|---|---|
| Department | Kerala Higher Secondary Education |
| Question Paper Code | 098/2026/OL |
| Category Code | 721/2025 |
| Date of Test | 14 May 2026 |
| Exam Type | Online Examination |
| Total Questions | 100 |
1
A particle of mass m moves in a plane, its motion defined by (r, Īø), under the influence of a force F = ākr directed towards the origin. The Lagrangian of the system is given by
Answer
B. (1/2)mį¹Ā² + (1/2)mrĀ²ĪøĢĀ² ā (1/2)krĀ²
2
The Hamiltonian corresponding to the Lagrangian L = aįŗĀ² + bįŗĀ² + kxy is
Answer
B. PāĀ²/(4a) + Pįµ§Ā²/(4b) ā kxy
3
The Lagrangian for the Kepler problem is given by L = (1/2)(į¹Ā² + rĀ²ĪøĢĀ²) ā Ī¼/r (Ī¼ > 0), where r, Īø denote the polar coordinates and the mass of the particle is unity. Then
Answer
D. The angular momentum of the particle about the centre of attraction is a constant
4
A bead of mass m slides along a straight frictionless rigid wire rotating in a horizontal plane with a constant angular speed w. The axis of rotation is perpendicular to the wire and passes through one end of the wire. If r is the distance of the mass from the axis of rotation and v is its speed, then the magnitude of the coriolis force is
Answer
B. 2mvw
5
The value of the Poisson bracket [māĀ·rā, nāĀ·pā], where mā and nā are constant vectors, is
Answer
D. māĀ·nā
6
A particle of mass m moves under the action of a central force whose potential is V(r) = kmrĀ² (k > 0). Then the energy for which the orbit will be a circle of radius a about the origin is
Answer
Question Cancelled
7
In logistic map function for A<1, the number of ļ¬xed points is _________
Answer
B. 1
8
The value of [Jāā/ā(x) + Jā/ā(x)] is
Answer
C. ā[2/(Ļx)](sin x + cos x)
9
The Fourier transform of the function f(x) is F(k) = ā« e^{āikx}f(x) dx. The Fourier transform of df(x)/dx is
Answer
D. ikF(k)
10
The value of using Rodrigues formula is ________
Answer
C. 2
11
Which of the following is not correct for Hermite polynomials?
Answer
D. Hā(x) = 6xĀ² ā 4x
12
Expand as a Fourier series the function f(x) = xĀ² in the interval āĻ < x < Ļ. The value of Ī£āāāā 1/nĀ² is
Answer
C. ĻĀ²/6
13
The residue of cot z at z = 0 is
Answer
B. 1
14
The value of ā®C dz/(zĀ²ā1), where C is the circle xĀ² + yĀ² = 4, is
Answer
A. 0
15
Which of the following is NOT true?
Answer
B. In Daisy Chaining all interrupts are serviced by branching to the same service program
16
Which 8085 microprocessor functional unit stores the memory address of the subsequent instruction to be performed in a 16-bit register?
Answer
A. Program Counter
17
Which registerās ļ¬ag bits are aļ¬ected when arithmetic operations are performed by the microcontroller?
Answer
D. Program Status Word (PSW)
18
The number of comparators required in an n-bit flash-type analog-to-digital converter is
Answer
C. 2āæ ā 1
19
In the event that a highest priority interrupt occurs in 8085 Microprocessor, the call location is ____________
Answer
D. 0024H
20
Which kind of data transfer is employed when the timing characteristics of the input-output device are not precisely known?
Answer
C. Status Check Data Transfer
21
What is the purpose of Sample and Hold circuits in Analog to Digital converters?
Answer
B. To stabilize the input analog signal during the conversion process
22
Which of the following is FALSE for a photodiode connected in reverse bias?
Answer
C. The built-in voltage increases
23
Diļ¬erential gain of an OPAMP is measured as 200. To measure the common mode gain, 1.0 V is applied common to both the inputs, and the output voltage is measured as 0.01 V. The CMRR is
Answer
C. 86 dB
24
A Schmidt trigger ___________
Answer
D. Both 1 and 2 are correct
25
What is the value of Rs required to self-bias a p-channel JFET with IDSS = 25 mA, VGS (oļ¬) = 20 V and VGS = 10V.
Answer
A. 1.6
26
Aliasing in radio communication refers to __________
Answer
Question Cancelled
27
A satellite in a sub-synchronous orbit ____________
Answer
B. Has a period shorter than the Earthās rotational period, causing the satellite to move westward relative to the Earthās surface
28
A solar cell has an open circuit voltage of 4.0 V. and a short circuit current of 50mA. The ļ¬ll factor is 50%. What is the eļ¬ciency if he light used during the measurement was AM 1.5 and 1000W/m2 and the area of the cell is 50cm2?
Answer
D. 2%
29
The phase space trajectory of a body which is thrown vertically upwards is a
Answer
B. Parabola
30
The magnitude of Fermi wave vector of 4 Ć 10Ā²Ā¹ electrons confined in a box of volume 1 cmĀ³ is approximately
Answer
Question Cancelled
31
A particle of spin 1/2 and magnetic moment Ī¼ is placed in a uniform magnetic field B. Its partition function is
Answer
C. 2 cosh(Ī¼B/kT)
32
The number of ways of distributing 11 indistinguishable bosons in 3 different energy levels is
Answer
C. 13!/[2!(11!)]
33
If the number density of a free electron gas in three dimension is increased eight times, its fermi temperature will
Answer
A. Increase by a factor of 4
34
For a low-density gas at low temperature, only the translational and rotational modes of molecules are excited. The specific heat of the gas is
Answer
D. (5/2)kB
35
For an ideal spin 1/2 Fermi gas in the presence of an external magnetic field B, the low-field susceptibility per unit volume of the gas Ļā is proportional to
Answer
D. (Eį¶ )Ā¹įĀ²
36
Find the probability current density for the wave function Ļ = U exp[i(ax ā wt)].
Answer
C. (ħa/m)|U|Ā²
37
The Hamiltonian of a harmonic oscillator is H = PĀ²/(2m) + V(r). Find the value of [x,[x,H]].
Answer
C. āħĀ²/m
38
For an electron, the spin angular momentum is always
Answer
B. the same,
39
For the Pauli Spin matrices, ļ¬nd the value of (i) and (ii)
Answer
A. 0, 2i
40
Which statements are wrong in connection with Fermi Golden rule? I. This rule gives the transition probability per unit time II. Is non-zero only between continuum states of the diļ¬erent energy. III. Is proportional to the density of ļ¬nal states IV. Is proportional to of the perturbation connecting the state
Answer
D. II and IV
41
In a linear Stark eļ¬ect, the application of an external uniform electric ļ¬eld,
Answer
D. Completely lifts the degeneracy of n = 2 level of H2 atom and splits the n = 2 level into three levels
42
In the partial-wave expansion, the differential scattering cross-section is dĻ/d(cosĪø) = |Ī£ā(2l+1)e^{iĪ“ā} sinĪ“ā Pā(cosĪø)|Ā², where Īø is the scattering angle. For neutronānucleus scattering, the two lowest phase shifts Ī“ā and Ī“ā, corresponding to s-wave and p-wave respectively, satisfy Ī“ā = Ī“ā/2. Assuming other phase shifts are negligibly small, the differential scattering cross-section reaches its minimum for cosĪø equal to
Answer
C. ā(2/3)cosĀ²Ī“ā
43
If the radius of Ā²ā“āāAl is measured to be 3.6 Fermi, the radius of ā¶ā“āāCu nucleus is approximately
Answer
B. 4.8 Ć 10ā»Ā¹Ā³ cm
44
The dominant interactions underlying the following decay processes (i) (ii) (iii)
Answer
Question Cancelled
45
If the coefficients for the Coulomb and asymmetry energy are aā = 0.595 MeV and aā = 19.0 MeV respectively, the most stable isobar with mass number A = 25 is
Answer
B. Ā²āµāāMg
46
A particle which is a composite state of three quarks, u, u and d, has electric charge, spin and strangeness equal to
Answer
C. 1, 1/2, 0
47
If Q is the total energy released in the spontaneous Ī±-decay process of Ā²Ā³āøāāU nucleus, which is initially at rest, the energy carried by the Ī±-particle is
Answer
A. (117/119)Q
48
The spin and parity assignments for the Ā¹ā·āO nucleus according to the single-particle shell model are
Answer
C. (5/2)āŗ
49
The reaction cannot proceed via strong interaction since it violates the conservation of
Answer
D. Isospin
50
If aluminium (atomic weight = 26.98) has an FCC structure and density 2.7 Ć 10Ā³ kg/mĀ³, the unit-cell dimension is approximately
Answer
C. 4 Ć
51
For a monovalent metal with BCC structure and lattice constant a, the radius of the Fermi surface of a free electron is
Answer
B. (6ĻĀ²/aĀ³)Ā¹įĀ³
52
Which of the following phenomenon that cannot be used for memory storage application
Answer
A. variation in resistance of a metal as a function of applied electric ļ¬eld
53
When a DC voltage V is applied across a Josephson junction between two superconductors with phase difference Īø, and Iā and k are constants that depend on the properties of the junction, the current flowing through the junction has the form
Answer
A. Iā sin(2eVt/ħ + Īø)
54
The Miller indices of a plane that makes intercepts on the crystallographic axes a = 3 A0 , b = 4 A0 and c = 3 A0 in a tetragonal crystal with c/a ratio as 1.5 is
Answer
C. (436)
55
Suppose there are two crystalline solids, one with a simple cubic structure and the other having tetragonal structure and the eļ¬ective spring constant between atoms in the c-direction is double the eļ¬ective spring constant between atoms in the a and b directions. At low temperatures, the behaviour of the lattice contribution to the speciļ¬c heat will depend as a function of temperature T as
Answer
B. for both the solids
56
If the electrical conductivity of copper is approximately 95% of the electrical conductivity of silver, and the electron density in silver is approximately 60% of that of copper, the approximate ratio of mean collision time in copper to the mean collision time in silver is
Answer
D. 0.57
57
A glass optical fibre consisting of a cylindrical central core of refractive index nā is cladded by a material of slightly lower refractive index nā. If nāĀ² < nāĀ² + 1, then the angle related to the measure of the light-gathering power of the fibre is given by
Answer
B. sinā»Ā¹(ā(nāĀ²ānāĀ²))
58
In a CO2 laser, which of the following acts as the same role of Helium in He-Ne laser?
Answer
B. N2
59
In a step index ļ¬bre for which refractive index, , the angle 0 of incidence for a ray is 30 . The refractive index of the cladding material is ______
Answer
Question Cancelled
60
Consider a three-level system of atoms in which atoms are in level , atoms in level and atoms in level . But and . Which of the following laser emissions is possible between the levels?
Answer
D. to
61
The trajectory of light ray propagating in a step index ļ¬bre is
Answer
C. Zig-zag
62
Which of the following is not correct?
Answer
D. Holography requires only the phase information of the light waves
63
Consider the following two statements (1) At thermal equilibrium, the rate of absorption must equal the rate of stimulated emission (2) The Einstein coeļ¬cient of absorption is equal to the Einstein coeļ¬cient of stimulated emission Which of the following is correct?
Answer
B. only (2)
64
The outer electron structure of the tin atom is 5s25p2. Which of the following valence state of Mossbauer isotope 119Sn has highest chemical shift in Mossbauer spectra?
Answer
B. Sn2+
65
Which of the following selection rule for a symmetric top molecule implies that the rotation of the molecule will be Raman inactive?
Answer
A. K=0
66
A nuclear magneton is deļ¬ned in terms of the mass and charge of the ________
Answer
C. Proton
67
If all vibrations cause a change in the electric dipole moment of a molecule, it yields ________
Answer
A. Infrared spectra
68
For the state 2P3/2, the value of Lande's splitting factor, g is _______
Answer
D. 4/3
69
The molecule C2H2 is _________
Answer
B. Infrared active and microwave inactive
70
If N is the number of atoms in a molecule, then a linear molecule has ___________ modes of vibrations
Answer
C. 3N-5
71
Identify the most ļ¬exible instructional and assessment tool adaptable to diverse curricula student age and administrative context
Answer
C. Portfolio
72
What is the primary goal of using case studies in teaching social Science?
Answer
C. To develop critical thinking and problem-solving skills.
73
A teacher wants to evaluate studentās understanding of the concept of democracy in a social science classroom. Which one is the appropriate assessment strategy for evaluating their ability to apply this concept to real life situation
Answer
D. Project on designing a democratic system for a moc village
74
What is the primary goal of ethnographic research?
Answer
B. To describe events with in a speciļ¬c group
75
Select the main advantage of using stratiļ¬ed sampling
Answer
A. It makes the sample more representative of the population
76
Which statement best describes the teacherās role in the Problem- Solving Method?
Answer
B. The teacher guides and facilitates student-led problem solving
77
Which experience is considered the best type of educative experience?
Answer
C. Direct Experience
78
Action Research is Primarily used in
Answer
B. Real situation to solve practical problems
79
In ļ¬eld research. āparticipant observationā means
Answer
C. Observing while taking part in the activity
80
Which of the following is a teacher related factor aļ¬ecting teaching?
Answer
D. Teacherās Subject knowledge
81
Which of the following features of the Indian Constitution reļ¬ects the inļ¬uence of the Government of India Act, 1935? 1. Bicameral legislature 2. The Oļ¬ce of the Governor 3. Federal structure with a strong centre 4. Judicial review
Answer
C. 1, 2 & 3 only
82
Which Constitutional Amendment Act allows the same person to be appointed as Governor for two or more states, as well as establish a common High Court for two or more states?
Answer
A. 7th Constitutional Amendment Act of 1956
83
The Rights of Persons with Disabilities Act, 2016, recognises how many categories of disabilities?
Answer
C. 21
84
Match the following: a. Doctrine of Severability 1. Laws inconsistent with Fundamental Rights become inactive until amendment b. Doctrine of Colourable 2. Only the aggrieved person can approach the court Legislation c. Doctrine of Eclipse 3. Partial invalidity of laws inconsistent with Fundamental Rights d. Doctrine of Locus Standi 4. What cannot be done directly cannot be done indirectly
Answer
B. a-3. b-4, c-1, d-2
85
Under the Wildlife (Protection) Act, 1972, which authority primarily has the power to declare any area a sanctuary?
Answer
B. State Government
86
Which among the following statements is incorrect? 1. Certiorari refers to a writ by which a higher court reviews a lower courtās decision 2. In the 2017 K.S. Puttaswamy case, Supreme Court of India upheld the right to privacy as a fundamental right 3. Under Indian Constitution, freedom of speech and expression is a fundamental right guaranteed to both citizens and non-citizens in India 4. Article 39(b) of Indian Constitution refers to ownership and control of material resources of the community
Answer
D. 3 only
87
Match the following a. Article 280 1. Comptroller and Auditor General of India b. Article 324 2. Public Service Commissions c. Article 320 3. Election Commission of India d. Article 148 4. Finance Commission
Answer
A. a-4, b-3, c-2, d-1
88
Identify the incorrect statement among the following
Answer
C. Pradhan Mantri Surakshit Matritva Abhiyan (PMSMA) was previously known as the Indira Gandhi Matritva Sahyog Yojana
89
Article 131 of the Constitution of India refers to:
Answer
A. Jurisdiction of the Supreme Court of India over inter-state disputes
90
Match the following schemes and beneļ¬ciaries: a. Stand-Up India scheme 1. Micro and Small Enterprises b. Deendayal Antyodaya Yojana 2. Street vendors c. Pradhan Mantri Mudra Yojana 3. SC/ST and Women entrepreneurs d. PM SVANidhi Scheme 4. Urban poor
Answer
D. a-3, b-4, c-1, d-2
91
Which one of the statements is true with reference to Nizhalthankals founded by Vaikunda Swamikal (i) An institution to feed the poor and the hungry (ii) An institution for the cause of Dharma Paripalanam (iii) An institution for worship
Answer
D. All of the above
92
Sadhujan Dootan a magazine,which criticized the evils of caste system was started by
Answer
C. Pampadi John Joseph
93
āTo walk through the public road is one that even dogs and pigs enjoy everywhere without having to oļ¬er any satyagraha at allā Name the person who made this statement
Answer
C. Dr. Palpu
94
The author of Atmohuti, a work that attacked the dowry system among Nambutiris was
Answer
D. M.B.Nambutiripad
95
The Missionary Society that started the Fort Girlsā Mission School In 1864 in Trivandrum
Answer
Question Cancelled
96
The Newspaper that published for the ļ¬rst time Asan's Veena Poovu
Answer
B. Mithavadi
97
Which of the following statements are true regarding Vaikom satyagraha (i) It was part of the movement for civic rights for freedom to walk through roads surrounding temples (ii) It was a movement launched for entry to Mahadeva temple at Vaikom (iii) It was an anti ā untouchability movement supported by Gandhiji (iv) It was led by T K Madhavan
Answer
C. Only (i, iii & iv)
98
The ļ¬rst woman advocate of Tiruvitamkur was
Answer
B. Anna Chandi
99
Sahitya Manjari was the work of
Answer
D. Vallathol Narayana Menon
100
Name the personality who suggested the name Manorama for the Malayala Manorama paper
Answer
C. Kerala Varma Valiya Koyi Thampuran
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