PG TRB Physics Exam Mock Test - 150 Marks




PG TRB Physics Exam Mock Test - 150 Marks

PG TRB Physics Exam Mock Test - 150 Marks

Section 1: Quantum - Atomic Physics (Q1–Q11)

1. On a potential energy diagram, a transition governed by the Franck-Condon principles is best represented as:

2. What principles explain the intensity distribution in Vibration transition?

3. The basic Quantum Mechanical model for the rotational spectroscopy of a diatomic molecules is:

4. Rotational spectra of diatomic molecules arise from changes in which Quantum number?

5. Which type of Atomic Nuclei Exhibit the Nuclear Magnetic Resonance Phenomenon?

6. In the Paschen-Back effect, which of the following is most likely to occur?

7. ASSERTION (A) : The Zeeman effect can be observed when an atom is placed in an Electric field. REASON (R) : The interaction of the magnetic moment of an atom with an external electric field causes the energy level to split.

8. Which of the following Alkali Metals is used in photoelectric cells?

9. List -1 List-2
a) Alkali metals - 1. Highly electronegative
b) Halogens - 2. Good conductors
c) Nobel gases - 3. Lowest ionization
d) Transition elements - 4. Inert gas
Match:

10. According to Pauli exclusion principles, if two electrons are in the same orbital they must:

11. For which type of particle is the wave function required to be Antisymmetric under the exchange of any two particles?

Section 2: Electronics (Q12–Q22)

12. A certain Op-amp has an Open loop voltage gain of 1,00,000 and a common mode gain of 0.2. The CMRR is:

13. For an oscillator to properly start, the gain around the feedback loop must initially be:

14. In certain FET circuit VGS = 0V, VDD= 15V, Idss=15mA and Rd=470 ohm. If Rd is decreased to 330 ohm, Idss is ______:

15. A diode that has a negative resistance characteristic is the:

16. Once in Saturation, a further increase in the base current will:

17. For a step input, the output of an integrator is:

18. A feature that distinguishes the JK flip-flops from the S-R flip-flops is the:

19. Three cascaded modulus 10 counters have an overall modulus of:

20. To serially shift a byte of data into a shift register there must be:

21. The frequency of Oscillation for phase shift Oscillator is:

22. The mobility of an Electron in a conductor is expressed in terms of:

Section 3: Classical Mechanics & S.R. (Q23–Q33)

23. Identify the correct statements: (i) The number of physical quantities that are required to uniquely and completely define the position (or) configuration of the system is called degrees of freedom. (ii) The number of degrees of freedom of the system consisting of a cylinder rolling on a stationary inclined plane is two. (iii) The number of degrees of freedom of a double pendulum is two (assume inextensible string). (iv) The number of degrees of freedom of a conical pendulum and a spherical pendulum are two.

24. If $q_i$ is a cyclic coordinate, then the Lagrange’s equations of motion reduce to:

25. The Lagrange’s equations of motion for an electrical circuit comprising of an inductance ($L$) and capacitance ($C$) is given. The condenser is charged to $q$ coulombs and the current flowing in the circuit is $I$ amps.

26. Euler’s theorem states:

27. A spaceship of proper length $L_0 = 100m$ moves at $v = 0.8c$ relative to an observer. What is the length observed by the stationary observer?

28. Law of conservation of energy is a consequence of:

29. Assertion (A): The principle of least action applies only to classical particles. Reason (R): It cannot be applied to fields or quantum mechanics.

30. A system of particles moves in such a way that the virtual work done by the applied forces and reverse effective forces is zero. That is:

31. The time integral of twice the kinetic energy is called the:

32. According to Liouville’s theorem, the density of systems in phase space:

33. Variational principle gives the necessary conditions about the quantity appearing as an integral has:

Section 4: Mathematical Physics (Q34–Q44)

34. The order of the differential equation $d³y/dx³ + (d²y/dx²)³ + (dy/dx)⁵ + y = 0$ is:

35. The gradient of the equation $2x + 3y = 6$ is:

36. The inverse of the matrix $\begin{bmatrix} 2 & 4 \\ 6 & 3 \end{bmatrix}$ is:

37. If $H_n(x)$ is the Hermite polynomial of order $n$, then $H_n(-x) = ?$

38. The value of $\Gamma(m)\Gamma(1-m)$ is:

39. The Cauchy integral theorem states that if $f(z)$ is analytic in a simply connected domain $D$, then $\oint f(z) = 0$ on every simply closed path $C$ in domain $D$. The condition of analyticity in this theorem is:

40. If a function $f(z)$ has poles only in the finite part of the $z$ plane, then the function is said to be:

41. According to Fourier expansion of $x²$, the value of $\sum_{n=1}^{\infty} (1/n²)$ is:

42. In terms of Legendre polynomial, $x² + x$ is equal to:

43. The mean of Poisson’s distribution $P(r) = (m^r \cdot e^{-m}) / r!$ is:

44. Stoke’s theorem is:

Section 5: Electromagnetism (Q45–Q55)

45. The law, governing the force between electric charge is known as:

46. Gauss's law is particularly useful for calculating electric fields when a system possesses:

47. If an Electric potential $V = Ax² + By² + Cz² + D$ satisfies the Laplace equation ($\nabla²V = 0$). Which of the following must be true for the coefficients $A, B, C$?

48. The Poisson’s equation is derived from:

49. If a long hollow copper pipe carries a direct current, the magnetic field associated with the current will be:

50. Find the magnetic field intensity when the magnetic vector potential $A = x\hat{i}+2y\hat{j}+3z\hat{k}$.

51. For a diamagnetic material, the magnetic susceptibility is:

52. Who introduced the concept of displacement current?

53. The ratio of average electric energy density and total average energy density of electromagnetic waves is:

54. Poynting vector represents:

55. The phenomenon of polarization shows the light has ____ nature.

Section 6: Condensed Matter Physics (Q56–Q66)

56. The width of the energy gap of a super conductor is maximum at:

57. The Fermi energy of a metal is $1.4$ eV. The Fermi temperature of the material is approximately:

58. The magnetic susceptibility of a Superconducting state is about:

59. The reciprocal lattice of a body centered cubic lattice is:

60. At a non Zero temperature the probability of Occupancy of the Fermi level is:

61. In a band theory, The Bloch wave function is:

62. According to Quantum free electron theory, which type of statistics is followed by electrons?

63. What does the Kronig-Penny dispersion relation determine?

64. The intrinsic carrier Concentration ($n_i$) in a semiconductor depends on:

65. The first Brillouin zone in a 1D lattice for spacing $a$ extends from:

66. Piezo electricity is the material to:

Section 7: Quantum Mechanics (Q67–Q77)

67. Which of the following is not correct:

68. Physical origin of optical theorem is the conservation of:

69. According to Fermi's Golden Rule, the transition probability per unit time is:

70. Pauli Spin operators $\sigma_x, \sigma_y, \sigma_z$ are represented by $2 \times 2$ matrices. These are:

71. Which of the following wave function can be a bound state solution of the one-dimensional Schrödinger equation for all values of $x$:

72. Which of the following is not acceptable wave function in quantum mechanics:

73. The eigen value of energy of hydrogen atom is:

74. Find out the correct relation:

75. The particle confined within the potential will display:

76. In the equation of continuity $\partial P/\partial t + \nabla\cdot J = 0$:

77. When spin is included, the degeneracy of hydrogen energy level is given by:

Section 8: General Physics & Experiments (Q78–Q86)

78. If three resistors of equal value are connected in parallel, the equivalent resistance is:

79. In a parallel capacitor connection, the voltage across each capacitor is:

80. If the length of a rod is $49.3$ cm and the true value is $50$ cm, the percentage error is:

81. The number $2.030 \times 10^4$ has:

82. Hall voltage decreases if:

83. The magnitude of $e/m$ for electron is approximately:

84. Planck's constant can be determined using:

85. Which of the following statement is true?

86. Which statement is correct for the detection of charged particles?

Section 9: Thermodynamics & Stat. Mech. (Q87–Q94)

87. Liquid Helium displays the properties of superfluid at ......... temperature, associated with a Bose -Einstein condensation:

88. The root mean square speed, average speed and most probable speed for a gas are in the ratio:

89. Which thermodynamic law introduce the concept of entropy?

90. Specific heat of a gas at constant temperature is:

91. In P - V diagram, the slope ($dP/dV$) of an adiabatic is .......... times the slope of the isothermal.

92. Statement 1: efficiency of carnot's engine can be greater than 100 %. Statement 2: coefficient of performance of a refrigerator can be greater than 100%.

93. Gibbs free energy remains constant in:

94. Which one is not an extensive variable?

Section 10: Nuclear and Particle Physics (Q95–Q105)

95. The magnetic Quantum number ($m_l$) determines:

96. Which region of the electromagnetic spectrum is typically associated with electronic transition in diatomic molecules?

97. A quark can appear in:

98. Strong forces of interaction are through the exchange of:

99. The quark structure of $\Delta^{++}$ (Delta power ++) is:

100. Give the approximate values for the corresponding lifetimes of hadronic decay, electromagnetic decay and weak decay!

101. The Coulomb energy term in the Semi-Empirical mass formula is proportional to:

102. Graphite and Heavy water act as moderator in a nuclear reactor and their function is:

103. Fission fragments are isotopes of elements whose mass number lie roughly between:

104. A Stable most nucleus, in general, has:

105. Statement 1: The nuclear constituents interact with only a limited number of their neighbours. Statement 2: Binding energy per nucleon is minimum when packing fraction is minimum.

Section 11: Applied Mathematics (Q106–Q110)

106. The generating function for Bessel’s polynomial is:

107. The orthogonality condition for Legendre polynomial $\int_{-1}^{+1} P_m(x)P_n(x) dx = 0$ is true for:

108. Binomial distribution also called:

109. Assertion: If a particle is moving with constant velocity, then average velocity for any time interval is equal to instantaneous velocity. Reason: If average velocity of a particle moving on a straight line is zero for a given time interval, then instantaneous velocity at some instant with this interval must be zero.

110. Hamiltonian canonical equations of motion for a conservative system are:

Section 12: Education & Psychology (Q111–Q140)

111. “செய்து கற்றல்” முறையை வலியுறுத்தியவர் யார்? Who emphasized the Learning by Doing method?

112. IQ = (MA/CA) $\times$ 100 என்ற சூத்திரத்தை முன்வைத்தவர் யார்? Who proposed the formula IQ = (MA/CA) $\times$ 100?

113. மாஸ்லோ தேவைகளின் அடுக்குக்கோட்பாட்டின் உச்ச நிலை எது? The highest level in Maslow’s hierarchy of needs is:

114. “சாதகச் சட்டம்” (Law of Effect) யாருடையது? The “Law of Effect” was proposed by:

115. “பல்நுண்ணறிவு கோட்பாடு” யாருடையது? Who proposed the Multiple Intelligences Theory?

116. “அருகாமை வளர்ச்சி வலம் (ZPD)” கருத்தை முன்வைத்தவர் யார்? Who introduced the concept of Zone of Proximal Development (ZPD)?

117. பொருத்துக (Match the following):
a) பாவ்லோவ் – i) செயற்பாட்டு நிலைமையாக்கம் (Operant Conditioning)
b) ஸ்கின்னர் – ii) பாரம்பரிய நிலைமையாக்கம் (Classical Conditioning)
c) கோலர் – iii) ஆழ்நுணுக்கக் கற்றல் (Insight Learning)
d) தார்ண்டைக் – iv) முயன்றி–தவறிக் கற்றல் (Trial & Error Learning)

118. ஒரு மாணவன் ஆசிரியர் உதவியுடன் தான் கற்றுக்கொள்ள முடிகிறது. இது எதற்கான உதாரணம்? A student learns only with teacher’s help. This is an example of:

119. ஒரு மாணவன் அடிக்கடி தோல்வியால் “நான் முடியாது” என்கிறான். இது எதனை குறிக்கிறது? A student repeatedly says “I can’t” due to frequent failures. It indicates:

120. கூற்று (Assertion): உட்புற உந்துதல் (Intrinsic Motivation) என்பது உள்ளார்ந்த ஆர்வம். காரணம் (Reason): அது வெளிப்புற பரிசுகளால் மட்டுமே உருவாகிறது.

121. கூற்று (Assertion): Guidance என்பது பரந்த கருத்து. காரணம் (Reason): Counseling என்பது Guidance-இன் ஒரு பகுதி.

122. கூற்று (Assertion): பியாஜே Concrete Operational நிலையில் Conservation புரிதல் ஏற்படுகிறது. காரணம் (Reason): இந்த நிலையில் குழந்தைகள் நியாயபூர்வ சிந்தனையை அடைகின்றனர்.

123. Mean = 50, SD = 5, X = 60. Z-score = ?

124. ஒரு மாணவரின் மதிப்பெண்கள்: 40, 50, 60. சராசரி (Mean) எவ்வளவு? Scores: 40, 50, 60. What is the Mean?

125. “நிலையான சிதறல்” (Standard Deviation) எதற்கான அளவீடு? Standard Deviation is a measure of:

126. NEP 2020 பரிந்துரைத்த கல்வி அமைப்பு: What is the school structure recommended in NEP 2020?

127. நிலைத்த வளர்ச்சி இலக்கு – 4 (SDG-4) வலியுறுத்துவது: SDG-4 emphasizes:

128. தமிழ்நாட்டில் முதலில் “மதிய உணவுத் திட்டம்” அறிமுகமான ஆண்டு: In which year was the Mid-day Meal Scheme first introduced in Tamil Nadu?

129. Freud தன்மை அமைப்பு: Freud’s Personality Structure consists of:

130. Big Five Traits-இல் சேராதது எது? Which is NOT part of Big Five Personality Traits?

131. சீரமைவு குறைபாடு (Adjustment Disorder) என்பதன் பொருள்: Adjustment Disorder refers to:

132. Bloom’s Revised Taxonomy உச்ச நிலை: The highest level in Bloom’s Revised Taxonomy is:

133. மைக்ரோ-டீச்சிங்கில் முக்கிய கட்டம்: The most important stage in Micro-Teaching is:

134. Outcome Based Education (OBE) வலியுறுத்துவது: Outcome Based Education emphasizes:

135. Item Analysis-இல் Difficulty index குறிக்கும் பொருள்: In Item Analysis, Difficulty Index indicates:

136. Validity என்பதன் பொருள்: Validity means:

137. Reliability என்பதன் பொருள்: Reliability means:

138. ADDIE மாதிரியின் படிகள்: The stages of ADDIE model are:

139. (Incomplete Question - Assumed from context: The final step of the ADDIE model is):

140. (Incomplete Question - Assumed from context: A characteristic of a good test is):

141. What is the chemical symbol for the element Gold?

142. Which planet is known as the 'Morning Star' or 'Evening Star'?

143. Which mountain range is the longest in the world?

144. In computing, what does the acronym "HTTP" stand for?

145. Who wrote the novel "Pride and Prejudice"?

146. Which country is the world's largest producer of coffee?

147. What is the name of the process by which plants convert light energy into chemical energy?

148. How many hearts does an octopus have?

149. What is the capital city of Mongolia?

150. Who painted the ceiling of the Sistine Chapel?

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