Understanding Time Period and Frequency

What is the time period of a mass attached to an elastic spring if it takes 4 seconds to complete one oscillation?

• 4 seconds

• 8 seconds

• 1 second

• 2 seconds

How is frequency defined in the context of oscillations?

• Number of oscillations in one second

• Speed of oscillation

• Distance covered in one oscillation

• Time taken to complete one oscillation

What is the relationship between time period (T) and frequency (f)?

• T = 1/f

• T = f

• T = f^2

• T = 2f

Which unit is used to measure frequency?

• Newtons

• Hertz

• Meters

• Seconds

What is the formula for the time period of a mass attached to a spring?

• T = √(k/m)

• T = 2π√(k/m)

• T = 2π√(m/k)

• T = √(m/k)

How does the stiffness of a spring (k) affect the time period?

• Directly proportional to k

• Inversely proportional to √k

• Directly proportional to √k

• Inversely proportional to k

If the mass attached to a spring is increased, what happens to the time period?

• It remains the same

• It decreases

• It becomes zero

• It increases

In the case of a 4 kg mass attached to a spring, what is the time period if the spring constant remains the same?

• 2 seconds

• 1 second

• 4 seconds

• 3 seconds

What is the frequency of a spring if the time period is 2 seconds?

• 4 Hz

• 1 Hz

• 2 Hz

• 0.5 Hz

What happens to the frequency if the mass attached to the spring is increased?

• It decreases

• It remains the same

• It doubles

• It increases