The dimensional formula for frequency is [M^0 L^0 T^-1], as it is defined as the number of cycles per unit time.
Questions & Step-by-step Solutions
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Q: What is the dimensional formula for frequency?
Solution: The dimensional formula for frequency is [M^0 L^0 T^-1], as it is defined as the number of cycles per unit time.
Steps: 6
Step 1: Understand what frequency means. Frequency is how many times something happens in a certain amount of time.
Step 2: Recall the definition of frequency. It is defined as the number of cycles (or events) per unit time.
Step 3: Identify the units involved. Frequency is measured in cycles per second, which is expressed as Hertz (Hz).
Step 4: Break down the units. One cycle is a dimensionless quantity, so it has no mass (M) or length (L) dimensions. Time (T) is the only dimension involved.
Step 5: Write the dimensional formula. Since frequency has no mass or length, we represent them as M^0 and L^0. For time, since it is in the denominator (1/T), we represent it as T^-1.
Step 6: Combine the dimensions. The final dimensional formula for frequency is [M^0 L^0 T^-1].
