Question

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Answer 1

Given :

• Number of vibrations in 2.5 minute = 1500
• Distance between crest and trough = 60 cm

To find :

• The frequency
• Wavelength
• Time taken to travel 3.5 km

Conversions :

⇢ time = 2.5 minutes

= 2.5 × 60

= 150 seconds

⇢ Distance between crest and trough = 60 cm

= 0.6 m

Solution :

Frequency is given by :

$\sf \nu \: = \dfrac{number \: of \: vibrations}{time}$

$\sf \nu = \dfrac{1500}{150}$

$\boxed{ \large\sf \blue {\nu} = \red{10 \: hertz \: }}$

⇢ Wavelength is the distance between two adjacent crest or troughs .

So , we can write the formula of wavelength as :

$\sf \: wave \: length = 2 \times distance \: between \: crest \: and \: trough$

$\sf \: \lambda = 2 \times 0.6$

$\boxed{ \sf \orange{ \lambda = 1.2 \: m}}$

velocity of a wave is given by

$\sf v = \lambda \: \times \nu$

v = 1.2 × 10

v = 12 m/s

$\sf \: time = \dfrac{distance}{speed}$

$\sf \implies\: t = \dfrac{3.5 \times 1000}{12}$

$\sf \implies \: t = \dfrac{3500}{12}$

$\boxed{ \sf \implies \green{t = 291.6 \: s}}$

$\underline{\therefore{\sf The\ time\ taken\ to\ travel}} \\ \sf \underline{3.5\ km\ is\ 291.6\ s}$

Answer 2

Hi buddy

Here is your answer

Hope its help

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#sibi ❤️