question 7 of 10
how is the period of a wave calculated relative to its frequency?

$\text{frequency}^2$
$\text{frequency} \times 1$
$1 + \text{frequency}$
$1 / \text{frequency}$

Question

question 7 of 10
how is the period of a wave calculated relative to its frequency?

$\text{frequency}^2$
$\text{frequency} \times 1$
$1 + \text{frequency}$
$1 / \text{frequency}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Wave Period", "Wave Frequency", "Frequency Period Relationship" ], "current_concepts": [ "Wave Period", "Wave Frequency", "Frequency Period Relationship" ] } ## Define wave period and frequency Wave period $T$ is the duration of one complete cycle. Frequency $f$ is the number of cycles per unit time. ## Relate period and frequency mathematically Since period is time per cycle and frequency is cycles per time, they are reciprocal quantities. ## State the formula The mathematical relationship is: $$T = \frac{1}{f}$$ ## Match with the given options The formula $T = \frac{1}{f}$ corresponds to the option "1/frequency".

$\text{frequency}^2$

$\text{frequency} \times 1$

$1 + \text{frequency}$

$1/\text{frequency}$

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Physics", "Wave Properties" ] }

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Question

Explanation:

Define wave period and frequency

Relate period and frequency mathematically

State the formula

Match with the given options

Answer: