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Elodia [21]
3 years ago
7

a sound wave is determined to have a frequency of 1,000 hz and wavelength of 35cm. what is the speed of this wave?

Physics
1 answer:
natulia [17]3 years ago
3 0

Answer:

The speed of the sound wave is 350 ms^{-1}

Explanation:

Given

Frequency of sound wave = 1000Hz = 1000s^{-1} (since 1 s^{-1} = 1 Hertz (Hz))

Wavelength of sound wave = 35 cm

Speed of sound wave = ?

All waves have same the relation among frequency, sound and speed which is given by

v=fλ , where

v is the speed

f is frequency

λ is wavelength

Therefore, the speed of sound wave = 1000s^{-1} x 35 cm

                                                              = 35000 cms^{-1}

                                                              = 350 ms^{-1}

Hence the speed of the sound wave is 350 ms^{-1}

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Two planets P1 and P2 orbit around a star S in circular orbits with speeds v1 = 40.2 km/s, and v2 = 56.0 km/s respectively. If t
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Answer: 3.66(10)^{33}kg

Explanation:

We are told both planets describe a circular orbit around the star S. So, let's approach this problem begining with the angular velocity \omega of the planet P1 with a period T=750years=2.36(10)^{10}s:

\omega=\frac{2\pi}{T}=\frac{V_{1}}{R} (1)

Where:

V_{1}=40.2km/s=40200m/s is the velocity of planet P1

R is the radius of the orbit of planet P1

Finding R:

R=\frac{V_{1}}{2\pi}T (2)

R=\frac{40200m/s}{2\pi}2.36(10)^{10}s (3)

R=1.5132(10)^{14}m (4)

On the other hand, we know the gravitational force F between the star S with mass M and the planet P1 with mass m is:

F=G\frac{Mm}{R^{2}} (5)

Where G is the Gravitational Constant and its value is 6.674(10)^{-11}\frac{m^{3}}{kgs^{2}}

In addition, the centripetal force F_{c} exerted on the planet is:

F_{c}=\frac{m{V_{1}}^{2}}{R^{2}} (6)

Assuming this system is in equilibrium:

F=F_{c} (7)

Substituting (5) and (6) in (7):

G\frac{Mm}{R^{2}}=\frac{m{V_{1}}^{2}}{R^{2}} (8)

Finding M:

M=\frac{V^{2}R}{G} (9)

M=\frac{(40200m/s)^{2}(1.5132(10)^{14}m)}{6.674(10)^{-11}\frac{m^{3}}{kgs^{2}}} (10)

Finally:

M=3.66(10)^{33}kg (11) This is the mass of the star S

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An N-slit system has slit separation d and slit width a. Plane waves with intensity I and wavelength O are incident normally on
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Answer:

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Explanation:

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