Engineering & Architecture Admissions

Q. In how many ways can 5 different objects be selected from 10 objects?
  • A. 252
  • B. 120
  • C. 10
  • D. 100
Q. In how many ways can 6 people be divided into 2 groups of 3?
  • A. 20
  • B. 30
  • C. 10
  • D. 15
Q. In how many ways can 7 different items be selected and arranged in a line?
  • A. 5040
  • B. 720
  • C. 40320
  • D. 10080
Q. In how many ways can 7 different objects be arranged in a circle?
  • A. 720
  • B. 5040
  • C. 7200
  • D. 600
Q. In how many ways can the letters of the word 'LEVEL' be arranged?
  • A. 60
  • B. 30
  • C. 20
  • D. 40
Q. In molecular orbital theory, which of the following orbitals is the highest energy in O2?
  • A. σ2p
  • B. π2p
  • C. σ2s
  • D. π2s
Q. In molecular orbital theory, which of the following statements is correct regarding the energy levels of orbitals?
  • A. σ orbitals are always lower than π orbitals.
  • B. π orbitals are always lower than σ orbitals.
  • C. σ* orbitals are always higher than π* orbitals.
  • D. Energy levels can vary based on the atoms involved.
Q. In nuclear fission, what is released apart from energy?
  • A. Neutrons
  • B. Protons
  • C. Electrons
  • D. Photons
Q. In nuclear fission, what is the primary product of the reaction?
  • A. Helium
  • B. Neutrons
  • C. Protons
  • D. Alpha particles
Q. In nuclear fission, what is the primary product?
  • A. Helium
  • B. Neutrons
  • C. Protons
  • D. Alpha particles
Q. In nuclear fission, what is typically released as a result of the reaction?
  • A. Energy and neutrons
  • B. Energy and protons
  • C. Neutrons and electrons
  • D. Protons and energy
Q. In nuclear fusion, what is typically required to overcome the repulsion between nuclei?
  • A. High temperature and pressure
  • B. Low temperature and pressure
  • C. Magnetic fields
  • D. Chemical reactions
Q. In nuclear reactions, what is the term for the energy required to remove a nucleon from the nucleus?
  • A. Ionization energy
  • B. Binding energy
  • C. Dissociation energy
  • D. Activation energy
Q. In optical fibers, total internal reflection is utilized. What is the primary reason for this?
  • A. To increase the speed of light.
  • B. To minimize loss of light.
  • C. To change the color of light.
  • D. To focus light.
Q. In rolling motion, which type of energy is associated with the rotation of the object?
  • A. Translational kinetic energy
  • B. Rotational kinetic energy
  • C. Potential energy
  • D. Elastic potential energy
Q. In simple harmonic motion, the acceleration is maximum when the displacement is:
  • A. Maximum
  • B. Zero
  • C. Negative maximum
  • D. None of the above
Q. In simple harmonic motion, the acceleration of the particle is maximum when it is at which position?
  • A. Mean position
  • B. Amplitude
  • C. Halfway to amplitude
  • D. None of the above
Q. In simple harmonic motion, the maximum displacement from the mean position is called what?
  • A. Amplitude
  • B. Frequency
  • C. Period
  • D. Wavelength
Q. In simple harmonic motion, the maximum speed occurs at which point?
  • A. At the mean position
  • B. At the amplitude
  • C. At one-fourth of the amplitude
  • D. At three-fourths of the amplitude
Q. In simple harmonic motion, the restoring force is directly proportional to which of the following?
  • A. Displacement
  • B. Velocity
  • C. Acceleration
  • D. Mass
Q. In simple harmonic motion, the total mechanical energy is conserved. What forms of energy are involved?
  • A. Kinetic and Potential Energy
  • B. Kinetic and Thermal Energy
  • C. Potential and Thermal Energy
  • D. Only Kinetic Energy
Q. In simple harmonic motion, the velocity of the particle is maximum when it is at which position?
  • A. Mean position
  • B. Maximum displacement
  • C. Equilibrium position
  • D. None of the above
Q. In the Biot-Savart Law, what does the term 'dl' represent?
  • A. The length of the wire segment
  • B. The distance from the wire to the point of interest
  • C. The current flowing through the wire
  • D. The angle between the wire and the point
Q. In the Bohr model of the hydrogen atom, what is the energy of the electron in the n=2 level?
  • A. -13.6 eV
  • B. -3.4 eV
  • C. -1.51 eV
  • D. 0 eV
Q. In the Bohr model of the hydrogen atom, what is the radius of the first orbit?
  • A. 0.0529 nm
  • B. 0.1 nm
  • C. 0.529 nm
  • D. 0.529 pm
Q. In the complex [Ni(CO)4], what is the hybridization of the nickel atom?
  • A. sp
  • B. sp2
  • C. sp3
  • D. d2sp3
Q. In the context of adsorption, what does the term 'saturation' refer to?
  • A. Complete coverage of the adsorbent surface
  • B. Maximum temperature for adsorption
  • C. Equilibrium state of adsorption and desorption
  • D. None of the above
Q. In the context of diffraction, what does the term 'angular width' refer to?
  • A. The angle between the first and second minima
  • B. The angle of incidence
  • C. The angle of reflection
  • D. The angle of diffraction
Q. In the context of diffraction, what does the term 'coherence' refer to?
  • A. The ability of waves to interfere
  • B. The speed of light
  • C. The intensity of light
  • D. The wavelength of light
Q. In the context of diffraction, what does the term 'resolution' refer to?
  • A. The ability to distinguish between two closely spaced objects
  • B. The intensity of the diffracted light
  • C. The wavelength of the light used
  • D. The width of the slit
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