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All questions of Simple Harmonic Motion for SSC CGL Exam

What is the potential energy of a particle in Simple Harmonic Motion (SHM) given by?
  • a)
    U = 1/2 mω²y²
  • b)
    U = 1/2 mωy²
  • c)
    U = 1/2 mωy
  • d)
    U = 1/2 mω²y
Correct answer is option 'A'. Can you explain this answer?

EduRev SSC CGL answered
The potential energy of a particle in Simple Harmonic Motion (SHM) is given by U = 1/2 mω²y². This formula represents the energy associated with the position of the particle in the restoring force field of the SHM system.

In Simple Harmonic Motion (SHM), what is the angular frequency defined as?
  • a)
    The product of frequency with a factor 2π
  • b)
    The time taken by the particle to complete one oscillation
  • c)
    The maximum displacement in any direction from the mean position
  • d)
    The displacement of the particle from the mean position
Correct answer is option 'A'. Can you explain this answer?

Ssc Cgl answered
The angular frequency in Simple Harmonic Motion (SHM) is defined as the product of frequency with a factor 2π. It is denoted by the Greek letter ω and represents the rate of change of phase of a periodic wave or oscillation. The angular frequency is related to the frequency of oscillation in SHM.

What is the time period defined as Simple Harmonic Motion (SHM)?
  • a)
    The time taken for a particle to complete one oscillation.
  • b)
    The time taken for a particle to reach its maximum amplitude.
  • c)
    The time taken for a particle to reach its mean position.
  • d)
    The time taken for a particle to reach its extreme position.
Correct answer is option 'A'. Can you explain this answer?

In Simple Harmonic Motion, the time period refers to the duration it takes for a particle to complete one full oscillation. This period is crucial in understanding the frequency and behavior of the oscillating system. It is measured as the time required for the particle to move from a point, through its extreme positions, and back to the same point in the same direction. This concept is fundamental in analyzing and predicting the motion of particles undergoing SHM.

How is the velocity of a particle in Simple Harmonic Motion related to its displacement?
  • a)
    The velocity is inversely proportional to displacement.
  • b)
    The velocity is directly proportional to displacement.
  • c)
    The velocity is independent of displacement.
  • d)
    The velocity is proportional to the square of displacement.
Correct answer is option 'B'. Can you explain this answer?

T.S Academy answered
In Simple Harmonic Motion, the velocity of a particle is directly proportional to its displacement from the mean position. This relationship implies that as the particle moves away from the equilibrium point, its velocity increases, reaching a maximum at the extreme positions. Understanding this connection between velocity and displacement is crucial in analyzing the dynamics of oscillatory systems and predicting the behavior of particles undergoing SHM.

What is the unit for frequency in Simple Harmonic Motion?
  • a)
    Hertz
  • b)
    Newton
  • c)
    Joule
  • d)
    Watt
Correct answer is option 'A'. Can you explain this answer?

EduRev SSC CGL answered
The unit for frequency in Simple Harmonic Motion is Hertz, which is equivalent to one oscillation or cycle per second. Frequency represents the number of oscillations completed by a particle in one second and is a crucial parameter in determining the speed and rate of oscillations in SHM. Understanding the unit of frequency is essential for calculating and interpreting various properties of oscillatory systems accurately.

What does the amplitude represent of Simple Harmonic Motion (SHM)?
  • a)
    The maximum velocity attained by the particle.
  • b)
    The maximum distance from the mean position.
  • c)
    The mean position of the particle.
  • d)
    The maximum acceleration experienced by the particle.
Correct answer is option 'B'. Can you explain this answer?

T.S Academy answered
The amplitude in Simple Harmonic Motion (SHM) signifies the maximum distance that a particle moves away from its mean position during oscillations. It represents the extreme positions reached by the particle as it oscillates back and forth around the equilibrium point. The amplitude is a crucial parameter that influences various aspects of the motion, including energy considerations and the overall behavior of the oscillating system.

What is Simple Harmonic Motion (SHM) defined as?
  • a)
    Motion along a curved path under a restoring force
  • b)
    Motion of varying amplitude and frequency
  • c)
    Motion of constant amplitude and single frequency
  • d)
    Motion with irregular frequency changes
Correct answer is option 'C'. Can you explain this answer?

Ssc Cgl answered
Simple Harmonic Motion (SHM) is defined as an oscillatory motion of constant amplitude and of single frequency under a restoring force whose magnitude is proportional to the displacement and always acts towards the mean position. In SHM, the particle's movement is back-and-forth along a straight path centered around the mean position, with the force restoring the particle being directly proportional to the distance of the particle from the mean position.

What is the acceleration of a particle in Simple Harmonic Motion (SHM) at any instant given by?
  • a)
    α = d²y / dt² = -ω²y
  • b)
    α = d²y / dt² = -2ωy
  • c)
    α = d²y / dt² = ω²y
  • d)
    α = d²y / dt² = 2ωy
Correct answer is option 'A'. Can you explain this answer?

T.S Academy answered
The acceleration of a particle in Simple Harmonic Motion (SHM) at any instant is given by α = d²y / dt² = -ω²y. This expression describes how the acceleration of the particle is directly proportional to its displacement from the mean position but in the opposite direction.

What is the acceleration of a particle at the mean position in Simple Harmonic Motion?
  • a)
    Maximum
  • b)
    Zero
  • c)
    Minimum
  • d)
    Constant
Correct answer is option 'B'. Can you explain this answer?

EduRev SSC CGL answered
At the mean position in Simple Harmonic Motion, the acceleration of a particle is zero. This means that when the particle is at its equilibrium point, there is no net force acting on it to cause acceleration. As the particle moves away from the mean position, the restoring force accelerates it back towards equilibrium. Understanding this characteristic of SHM helps in interpreting the motion and dynamics of oscillating systems accurately.

What is the total energy in Simple Harmonic Motion (SHM) given by?
  • a)
    Total energy (E) = U + K
  • b)
    Total energy (E) = U - K
  • c)
    Total energy (E) = U x K
  • d)
    Total energy (E) = U / K
Correct answer is option 'A'. Can you explain this answer?

Iq Funda answered
The total energy in Simple Harmonic Motion (SHM) is given by the sum of the potential energy (U) and the kinetic energy (K). It is represented by the formula Total energy (E) = U + K, indicating the combined energy of the particle in SHM.

How is the velocity of a particle in Simple Harmonic Motion (SHM) calculated?
  • a)
    v = dy / dt = aω sin ωt
  • b)
    v = dy / dt = aω cos ωt
  • c)
    v = dy / dt = a sin ωt
  • d)
    v = dy / dt = a cos ωt
Correct answer is option 'B'. Can you explain this answer?

T.S Academy answered
The velocity of a particle in Simple Harmonic Motion (SHM) at any instant is given by v = dy / dt = aω cos ωt. This expression describes the instantaneous velocity of the particle in SHM, which varies sinusoidally with time.

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