Sound Wave and its Characteristics

Practice Questions:

Question 1: moderate

In a gaseous medium on increasing temperature 800 K, speed of sound becomes √5 times of initial then initial temperature of medium in °C is

1. 27°C

2. 300 °C

3. - 73°C

4. 73°C

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Question 2: easy

Velocity of sound in medium is V. If the density of the medium is doubled, what will be the new velocity of sound ?

1. √2 V

2. V

3. 4V

4. V/√2

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Question 3: moderate

For sound waves propagating in a medium, identify the property that is independent of the others :

1. Velocity

2. Wavelength

3. Frequency

4. All these depend on each other

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Speed of sound wave depends on medium and is independent of wavelength and frequency.

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Question 4: easy

Speed of sound waves in a fluid depends upon

1. Directly on density of the medium

2. Square of Bulk modulus of the medium

3. Directly on the square root of density

4. Directly on the square root of bulk modulus of the medium

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Speed of sound in a fluid is given by

\[ v = \sqrt{\frac{B}{\rho}} \]

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Question 5: difficult

A transverse wave is represented by the equation

\[ y= y_{0} sin\frac{2\Pi}{\lambda}(vt-x)\]

For what value of λ , the maximum particle velocity equal to two times the wave velocity

1. λ = 2Πy0

2. λ = Πy0/3

3. λ = Πy0/2

4. λ = Πyº

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Question 6: easy

Given below are two statements:

Assertion (A): Sound would travel faster on a hot summer day than on a cold winter day.

Reason (R): Velocity of sound is directly proportional to the square root of its absolute temperature.

1. Both (A) and (R) are true and (R) is the correct explanation of (A).

2. Both (A) and (R) are true but (R) is not the correct explanation of (A).

3. (A) is true but (R) is false.

4. (A) is false but (R) is true.

View Answer

The speed of sound in a gas is \(v = \sqrt{\frac{\gamma RT}{M}}\), meaning \(v \propto \sqrt{T}\). Since temperature is higher on a hot summer day than a cold winter day, sound travels faster in summer. Both statements are true and Reason is the correct explanation.

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