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The speed of sound in air, water and ste...

The speed of sound in air, water and steel is different. If the speed of sound in air, water and steel is represented by `V_(a), V_w and V_s` respectively, then which of the following sequences is correct about the speed of sound in ascending order?

A

`V_a, V_w, V_s`

B

`V_s, V_w, V_a`

C

`V_w, V_s, V_a`

D

`V_a, V_s, V_w`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the correct ascending order of the speed of sound in air, water, and steel, we can follow these steps: ### Step 1: Understand the properties of sound in different mediums Sound travels through different mediums at different speeds. The speed of sound is influenced by the medium's density and elasticity. Generally, sound travels fastest in solids, slower in liquids, and slowest in gases. ### Step 2: Identify the speeds of sound in each medium - **Speed of sound in air (V_a)**: This is the slowest among the three mediums. - **Speed of sound in water (V_w)**: This is faster than in air but slower than in steel. - **Speed of sound in steel (V_s)**: This is the fastest because steel is a solid with closely packed molecules. ### Step 3: Arrange the speeds in ascending order Based on the properties of sound in different mediums: 1. V_a (speed of sound in air) is the lowest. 2. V_w (speed of sound in water) is in the middle. 3. V_s (speed of sound in steel) is the highest. Thus, the ascending order of the speed of sound is: **V_a < V_w < V_s** ### Step 4: Match the sequence with the options provided If the options were provided, we would look for the one that matches our derived sequence of speeds. ### Final Answer The correct ascending order of the speed of sound is: **Air < Water < Steel** (V_a < V_w < V_s) ---

To determine the correct ascending order of the speed of sound in air, water, and steel, we can follow these steps: ### Step 1: Understand the properties of sound in different mediums Sound travels through different mediums at different speeds. The speed of sound is influenced by the medium's density and elasticity. Generally, sound travels fastest in solids, slower in liquids, and slowest in gases. ### Step 2: Identify the speeds of sound in each medium - **Speed of sound in air (V_a)**: This is the slowest among the three mediums. - **Speed of sound in water (V_w)**: This is faster than in air but slower than in steel. ...
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