In a simple harmonic oscillator, if the mass is increased, what happens to the t
Practice Questions
Q1
In a simple harmonic oscillator, if the mass is increased, what happens to the time period? (2019)
Increases
Decreases
Remains the same
Depends on amplitude
Questions & Step-by-Step Solutions
In a simple harmonic oscillator, if the mass is increased, what happens to the time period? (2019)
Step 1: Understand what a simple harmonic oscillator is. It is a system that moves back and forth in a regular pattern, like a swinging pendulum or a mass on a spring.
Step 2: Know the formula for the time period (T) of a simple harmonic oscillator: T = 2π√(m/k). Here, m is the mass and k is the spring constant.
Step 3: Identify the relationship between mass (m) and time period (T) in the formula. The time period is directly related to the square root of the mass.
Step 4: If the mass (m) increases, the square root of the mass also increases.
Step 5: Since T is proportional to the square root of m, an increase in mass will result in an increase in the time period (T).
Step 6: Conclude that if the mass is increased, the time period of the simple harmonic oscillator increases.
