Question

A person is listening to a tone of 500Hz sitting at a distance of 450m from the source of the sound. What is the time interval between successive compressions from the source?

Answer 1

Given that:

• A person is listening to a tone of 500 Hz sitting at a distance of 450 m from the source of the sound.

To Find:

• What is the time interval between successive compressions from the source?

We know that:

• T = 1/n

Where,

• T = Time interval between two successive compressions.
• n = Frequency of a tone = 500 Hz

Finding the time interval:

⟶ T = 1/500

⟶ T = 0.002

Hence,

• The time interval between successive compressions from the source is 0.002 seconds or 2 mili seconds.

Answer 2

$\underline{\textsf{\textbf{Question\::}}}$

• A person is listening to a tone of 500 Hz sitting at a distance of 450m from the source of the sound. What is the time interval between successive compressions from the source?

$\underline{\textsf{\textbf{Required\:Answer\::}}}$

• Time interval between successive compressions from the source is 0.002 seconds or 2 mili seconds.

$\underline{\textsf{\textbf{Step\:by\:step\:explanation\::}}}$

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• Here, we have frequency of tone (n) = 500 Hz.
• We had to find out the time interval between successive compressions from the source.

$\underline{\textsf{\textbf{Using\:formula\::}}}$

$\qquad\red\bigstar\:\small{\underline{\boxed{\bf{\green{T = \dfrac{1}{n}}}}}}$

$\:\:\tiny\dag \: {\underline{\frak{Values\:that\;we\;have\::}}}$

• n = 500 Hz

$\:\:\tiny\dag \: {\underline{\frak{Putting\:all\;values\::}}}$

$\dashrightarrow\qquad\sf T = \dfrac{1}{500}$

$\dashrightarrow\qquad{\boxed{\frak{\pink{T = 0.002\:seconds}}}}\:\purple\bigstar$

• In mili seconds :

$\qquad\red\bigstar\:\small{\underline{\boxed{\bf{\green{1\:second = 1000\:mili\:seconds}}}}}$

$\underline{\textsf{\textbf{Therefore\::}}}$

• Multiply the time value by 1000

$\dashrightarrow\qquad\sf T = 0.002 \:\times\:1000$

$\dashrightarrow\qquad{\boxed{\frak{\pink{T = 2\:mili\:seconds}}}}\:\purple\bigstar$

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$\tiny\therefore\:{\underline{\sf{Hence,\:time\: interval \:between\: successive\: compressions \:from\: the\: source \:is \:\bf{0.002\: seconds}\:\sf{or} \:\bf{2 \:mili \:seconds}.}}}$