Preparing for the Joint Entrance Exam (JEE) can be a daunting task. With so many subjects to cover and so many topics to study, it can be challenging to know where to start. One essential topic in the JEE Mains syllabus is the Oscillations. In this article, we will provide 50+ MCQ questions on the Oscillations, along with detailed solutions to help you prepare for the JEE Mains exam.
These 50+ MCQ questions are selected by the experts of studyrate.in and these are more difficult questions, which will help you to better understand Oscillations JEE Mains MCQ Questions with Answers.
Oscillations JEE Mains MCQ
Which of the following is an example of simple harmonic motion?
a) A ball rolling down a hill
b) A pendulum swinging back and forth
c) A car accelerating uniformly
d) A projectile motion
The time period of a simple pendulum depends on:
a) Mass of the pendulum bob
b) Length of the pendulum
c) Amplitude of the pendulum
d) Angle of displacement of the pendulum bob
The restoring force in simple harmonic motion is always:
a) Directly proportional to displacement
b) Inversely proportional to displacement
c) Independent of displacement
d) Zero
The frequency of a simple harmonic oscillator is:
a) The reciprocal of the time period
b) Equal to the angular frequency multiplied by 2π
c) The square root of the angular frequency
d) None of the above
A mass-spring system is undergoing simple harmonic motion. If the mass is doubled while the spring constant remains the same, the time period of oscillation will:
a) Increase
b) Decrease
c) Remain the same
d) Depend on the amplitude
The maximum displacement from the equilibrium position in simple harmonic motion is called the:
a) Amplitude
b) Frequency
c) Phase
d) Period
The total energy of a simple harmonic oscillator is proportional to the square of its:
a) Frequency
b) Amplitude
c) Time period
d) Angular frequency
The phase difference between the displacement and velocity of a particle undergoing simple harmonic motion is:
a) 0 degrees
b) 45 degrees
c) 90 degrees
d) 180 degrees
The angular frequency (ω) of a mass-spring system is given by:
a) ω = k/m
b) ω = √(k/m)
c) ω = 2πf
d) ω = 2π/T
In simple harmonic motion, the acceleration of the particle is maximum when the displacement is:
a) Maximum
b) Minimum
c) Zero
d) At equilibrium position
The time period of a simple pendulum of length ‘L’ on the Moon (where acceleration due to gravity is one-sixth of that on Earth) will be:
a) 6 times larger than on Earth
b) 6 times smaller than on Earth
c) The same as on Earth
d) None of the above
The time period of a mass-spring system is given by:
a) T = 2π√(m/k)
b) T = 2π√(k/m)
c) T = 2π√(m + k)
d) T = 2π√(k – m)
In simple harmonic motion, the velocity is maximum when the displacement is:
a) Maximum
b) Minimum
c) Zero
d) At equilibrium position
The angular frequency of a simple pendulum is given by:
a) ω = √(g/L)
b) ω = √(L/g)
c) ω = √(g + L)
d) ω = √(L – g)
The restoring force in a simple pendulum is provided by:
a) Gravity
b) Friction
c) Tension in the string
d) Air resistance
A particle undergoing simple harmonic motion has a displacement given by x(t) = A cos(ωt + φ). What does ‘φ’ represent?
a) Amplitude
b) Angular frequency
c) Initial phase
d) Time period
The graph of displacement versus time for a particle undergoing simple harmonic motion is:
a) A straight line
b) A parabola
c) A circle
d) An ellipse
The motion of a mass-spring system is an example of:
a) Linear motion
b) Circular motion
c) Oscillatory motion
d) Projectile motion
The amplitude of a mass-spring system is doubled. What happens to the total energy of the system?
a) It doubles
b) It quadruples
c) It remains the same
d) It depends on the frequency
The time period of an oscillating spring-mass system depends on:
a) Mass of the spring
b) Stiffness of the spring
c) Amplitude of oscillation
d) All of the above
In simple harmonic motion, the acceleration is directed:
a) Opposite to the direction of displacement
b) Along the direction of displacement
c) Perpendicular to the direction of displacement
d) Independent of the direction of displacement
The motion of a simple pendulum is an example of:
a) Linear motion
b) Circular motion
c) Oscillatory motion
d) Projectile motion
The angular frequency of an oscillating spring-mass system is given by:
a) ω = √(k/m)
b) ω = k/m
c) ω = √(m/k)
d) ω = m/k
The time period of a simple pendulum does not depend on:
a) Length of the pendulum
b) Mass of the pendulum bob
c) Acceleration due to gravity
d) Amplitude of oscillation
The frequency of a simple harmonic oscillator is measured in:
a) Hertz (Hz)
b) Newtons (N)
c) Joules (J)
d) Meters per second (m/s)
The potential energy of a simple harmonic oscillator is maximum when the displacement is:
a) Maximum
b) Minimum
c) Zero
d) At equilibrium position
The phase constant ‘φ’ in the equation x(t) = A cos(ωt + φ) represents the:
a) Amplitude of the motion
b) Initial displacement of the particle
c) Angular frequency of the motion
d) Time period of the motion
The time period of an oscillating mass-spring system is halved. What happens to the frequency of oscillation?
a) It doubles
b) It quadruples
c) It halves
d) It remains the same
The motion of a simple pendulum is approximately simple harmonic if:
a) The amplitude is small
b) The length is long
c) The angle of displacement is small
d) The mass of the bob is large
The frequency of oscillation of a simple pendulum depends on:
a) Mass of the pendulum bob
b) Length of the pendulum
c) Amplitude of oscillation
d) Both a) and b)
We hope there JEE MCQ of Class 11 Oscillations will help you to score an excellent rank in JEE Mains and Advanced. If you have any queries feel free to write in the comments section. We at Study Rate are always ready to serve our students.
