1Which of these has the same dimensions as time period?
Time period and time both have the dimensions [T].
Oscillations and wavesClass 11, Oscillations
Dimensional formula of Time period
[T]
The time for one oscillation, the inverse of the frequency.
How to get the dimensional formula of time period
- Start from the definition: time period = 1 / frequency.
- frequency = 1 / time, so frequency is 1 / [T] = [T-1].
- Put in the dimension of each part: 1 / [T-1].
- Add the powers of each base quantity: [T].
Quantities with the dimensions [T]
Equal dimensions do not make them the same quantity. Compare time period with the others in the full grid.
Three questions on time period
2What is the SI unit of time period?
The SI unit of time period is the second (s).
3Which one has different dimensions from the others?
Amplitude is [L]. The other three are all [T].
An equation that uses time period
Equation checker
Matching dimensions are necessary, not sufficient. A check cannot see pure numbers such as 1/2 or 2π, so a consistent equation can still be wrong.
Read as
T = 2 π sqrt(l / g)T[T]=2 pi sqrt(l/g)[T]Dimensionally consistentEvery term is [T]
l = lengthg = acceleration due to gravity
Time period: quick answers
What is the dimensional formula of time period?
The dimensional formula of time period is [T]. It comes from time period = 1 / frequency.
What is the SI unit of time period?
The SI unit of time period is the second (s).
Which quantities have the same dimensions as time period?
Time period shares [T] with time, time constant, Half-life. Equal dimensions do not make them the same quantity.