Effect of light and sound to opaque object

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An opaque object casts a shadow when illuminated by light but has minimal impact on sound waves due to their different properties. Sound is a pressure wave that travels much slower than light and has a longer wavelength, allowing it to diffract around obstacles. The Huygens-Fresnel principle explains that each point on a wavefront acts as a new source of disturbance, which contributes to sound waves bending around the edges of an object. This diffraction effect is significant because the wavelength of sound is much larger than that of light. Ultimately, the differences in wave behavior between sound and light explain the observed phenomena.
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Homework Statement


An opaque object 10 cm wide casts a shadow when placed in a beam of light but has little effect on a beam of sound emitted by a small source of frequency 500 Hz. This is because
a. sound is a pressure wave whereas light is an electromagnetic waves
b. sound travels much more slowly than light
c. sound waves are longitudinal whereas light waves are transverse
d. sound waves have a much longer wavelength than light waves
e. the power per unit area in a beam of sound is much lower than that in a beam of light

Homework Equations


Don't know


The Attempt at a Solution


I don't know the relation between the choices and the question. I know that sound is longitudinal and light is transverse, I know the speed of sound and light. But I don't know how to use the info to answer the question.

Thanks
 
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Think of the difference of wavelengths and Huygens–Fresnel principle and diffraction of waves.

ehild
 
with a huge wavelength in the case of sound wave as compared to light waves,the pressure waves can really move over the edges of the object.
 
ehild said:
Think of the difference of wavelengths and Huygens–Fresnel principle and diffraction of waves.

ehild

I read a little about Huygens-Fresnel principle at wiki.
"The Huygens–Fresnel principle is a method of analysis applied to problems of wave propagation (both in the far field limit and in near field diffraction). It recognizes that each point of an advancing wave front is in fact the center of a fresh disturbance and the source of a new train of waves"

But I still don't know how to relate it with the question. Huygens-Fresnel principle says that there will be a new center of disturbance. So when the sound hits the opaque object, there will be a new center of disturbance at the object's surface. Why don't the sound being reflected?

abhishek ghos said:
with a huge wavelength in the case of sound wave as compared to light waves,the pressure waves can really move over the edges of the object.

OK, based on your hint, I think the answer is (d). But why with a huge wavelength in the case of sound wave as compared to light waves,the pressure waves can really move over the edges of the object?

Thanks
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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