Question: The dimensional formula for frequency is: (2023)
Options:
[T^-1]
[M^0 L^0 T^-1]
[M^1 L^1 T^-1]
[M^0 L^1 T^0]
Correct Answer: [T^-1]
Exam Year: 2023
Solution:
Frequency is defined as the number of cycles per unit time, hence its dimensional formula is [T^-1].
The dimensional formula for frequency is: (2023)
Practice Questions
Q1
The dimensional formula for frequency is: (2023)
[T^-1]
[M^0 L^0 T^-1]
[M^1 L^1 T^-1]
[M^0 L^1 T^0]
Questions & Step-by-Step Solutions
The dimensional formula for frequency is: (2023)
Step 1: Understand what frequency means. Frequency is how many times something happens in a certain amount of time.
Step 2: Identify the unit of frequency. The unit of frequency is Hertz (Hz), which means cycles per second.
Step 3: Recognize that frequency is calculated as the number of cycles divided by time. This can be written as: Frequency = Number of cycles / Time.
Step 4: In dimensional analysis, we represent time with the symbol [T].
Step 5: Since frequency is the number of cycles (which is dimensionless) divided by time, we can express this as: Frequency = 1 / [T].
Step 6: This means the dimensional formula for frequency is [T^-1], indicating that it is inversely related to time.
Frequency – Frequency is the number of occurrences of a repeating event per unit of time, typically measured in hertz (Hz).
Dimensional Analysis – Dimensional analysis involves expressing physical quantities in terms of fundamental dimensions such as mass (M), length (L), time (T), etc.
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