The time taken for 2 consecutive crests to pass a given point is 2,5 seconds. Calculate the speed of the wave.

Physics
The time taken for 2 consecutive crests to pass a given point is 2,5 seconds. Calculate the speed of the wave.

ScanSolve AI Answer

16 steps

Part 1

Transverse wave diagram (left):

  1. Crest

  2. Trough

  3. Wavelength

Transverse wave on rope (right):

a. Source of the wave

b. Crest

c. Trough

d. Observer or fixed end

e. Direction of wave propagation

Part 2

Longitudinal wave diagram (left):

  1. Compression

  2. Rarefaction

  3. Wavelength

Sound wave CRO trace (right):

a. Amplitude

b. One complete oscillation (period)

c. Time base setting

d. Peak to peak amplitude

e. Frequency

Part 3

Oscilloscope trace:

  1. Amplitude

  2. Period

  3. Frequency

Step 1: Determine the time for one cycle from the trace.

Number of cycles = 4

Horizontal distance for 4 cycles = 8 divisions

Time base = 0.01s/div0.01\,\text{s/div}

T=8×0.014=0.02sT = \frac{8 \times 0.01}{4} = 0.02\,s

Step 2: Calculate frequency.

f=1T=10.02=50Hzf = \frac{1}{T} = \frac{1}{0.02} = 50\,Hz

Part 4

Square wave (left):

  1. Amplitude

  2. Period

  3. Frequency

Sine wave (right):

  1. Amplitude = 2cm2\,\text{cm}

  2. Period: 4 divisions at 0.02s/div0.02\,\text{s/div}, T=0.08sT=0.08\,\text{s}

  3. Frequency f=12.5Hzf=12.5\,\text{Hz}

  4. Wavelength or phase

Step 1: Period calculation.

T=4×0.02=0.08sT = 4 \times 0.02 = 0.08\,s

Step 2: Frequency.

f=10.08=12.5Hzf = \frac{1}{0.08} = 12.5\,Hz

Part 5

Sound wave calculations (assumed standard).

Step 1: Speed of sound.

v=fλv = f \lambda

Suppose f=340Hzf = 340\,\text{Hz}, λ=1m\lambda = 1\,\text{m}

v=340×1=340m/sv = 340 \times 1 = 340\,m/s

340 m/s

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