Which of the following conditions is essential for a motion to be Simple Harmonic Motion (SHM)?
The phase difference between displacement and velocity of a particle executing Simple Harmonic Motion is:
The time period of a seconds pendulum is:
If the length of a simple pendulum is increased by 4 times, its time period becomes:
The maximum velocity of a particle executing SHM with amplitude $A$ and angular frequency $\omega$ is given by:
The maximum acceleration of a particle executing SHM with amplitude $A$ and angular frequency $\omega$ is:
The total mechanical energy of a particle executing Simple Harmonic Motion is directly proportional to:
At what displacement from the mean position is the kinetic energy equal to potential energy in SHM?
What is the time period of a simple pendulum inside a freely falling elevator?
If a spring of spring constant $k$ is cut into two equal halves, the spring constant of each half will be:
Resonance occurs in forced oscillations when the frequency of the external driving force is:
The relationship between time period $T$ and frequency $f$ of an oscillation is:
At the mean position ($x = 0$), a body executing SHM has:
Two springs of spring constants $k_1$ and $k_2$ are connected in parallel. The effective spring constant of the combination is:
In damped harmonic oscillations, the amplitude of oscillation:
The velocity $v$ of a particle executing SHM at a displacement $x$ from the mean position is given by:
If the mass attached to a spring-mass system is quadrupled (increased by 4 times), its time period of oscillation becomes:
Which of the following mathematical functions represents Simple Harmonic Motion?
The time period of a simple pendulum depends on:
In Simple Harmonic Motion (SHM), the acceleration of a particle is directly proportional to its:
The total mechanical energy of a simple harmonic oscillator is directly proportional to:
If a particle executes SHM with frequency $f$, the frequency of its potential energy oscillation is:
Two identical springs each of spring constant $k$ are connected in parallel. The effective spring constant of the combination is:
The time period of a simple pendulum in a freely falling lift is:
The phase difference between displacement and acceleration of a particle in SHM is:
What is the approximate length of a second's pendulum on Earth?
Two springs of force constants $k_1$ and $k_2$ are connected in series. Their equivalent spring constant $k_{eq}$ is:
In SHM, the acceleration of the particle is maximum at:
In damped simple harmonic oscillations, the amplitude of oscillation decays with time:
If a simple pendulum is taken to Moon where acceleration due to gravity is $g/6$, its time period will increase by a factor of:
Which of the following differential equations correctly represents simple harmonic motion?
Assuming zero potential energy at the mean position, the potential energy of a particle executing SHM at the mean position is:
A body of mass $1\text{ kg}$ is attached to a spring of spring constant $100\text{ N/m}$. The time period of its oscillation is:
The nature of the graph between restoring force $F$ and displacement $x$ in SHM is a: