# The equation of vibration of a taut string, fixed at both ends, is given by:      $$y=(3~\text{mm})~\text{cos}\Big(\frac{\pi x}{10~\text{cm}}\Big)~\text{sin}(800\pi~\text{s}^{-1}~\text{t})$$ The speed of waves on the string is: 1. $$20$$ m/s 2. 40 m/s 3. $$80$$ m/s 4. $$160$$ m/s

Subtopic:  Standing Waves |
90%
From NCERT
Hints

Given below are two statements:
 Assertion (A): In a stationary wave, there is no transfer of energy. Reason (R): The ratio of kinetic energy to potential energy is independent of the position.

 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.
Subtopic:  Standing Waves |
58%
From NCERT
Hints

Given below are two statements:
 Assertion (A): The change in air pressure affects the speed of sound. Reason (R): The speed of sound in gases is proportional to the square of pressure.

 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 Both (A) and (R) are False.
Subtopic:  Speed of Sound |
58%
From NCERT
Hints

Given below are two statements:
 Assertion (A): Ocean waves hitting a beach are always found to be nearly normal to the shore. Reason (R): Ocean waves are longitudinal waves.

 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 Both (A) and (R) are False.
Subtopic:  Types of Waves |
51%
From NCERT
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Given below are two statements:
 Assertion (A): Where two vibrating tuning forks having frequencies 256 Hz and 512 Hz are held near each other, beats cannot be heard. Reason (R): The principle of superposition is valid only if the frequencies of the oscillators are nearly equal.

 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 Both (A) and (R) are False.
Subtopic:  Beats |
From NCERT
To view explanation, please take trial in the course.
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Given below are two statements:

 Statement I: Sound waves travelling from air into water, incident obliquely, bend towards the normal. Statement II: Sound waves travel more slowly in water than in air.

 1 Statement I is incorrect and Statement II is correct. 2 Both Statement I and Statement II are correct. 3 Both Statement I and Statement II are incorrect. 4 Statement I is correct and Statement II is incorrect.
Subtopic:  Speed of Sound |
From NCERT
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A tuning fork makes $$256$$ vibrations per second in air. When the velocity of sound is $$330$$ m/s, then the wavelength of the tone emitted is:
1. $$0.56$$ m
2. $$0.89$$ m
3. $$1.11$$ m
4. $$1.29$$ m
Subtopic:  Wave Motion |
85%
From NCERT
Hints

Given below are two statements:
 Statement I: The speed of sound waves in a medium depends on the elastic modulus and the density of the medium. Statement II: The speed of sound in a gas is independent of its temperature.

 1 Statement I is incorrect and Statement II is correct. 2 Both Statement I and Statement II are correct. 3 Both Statement I and Statement II are incorrect. 4 Statement I is correct and Statement II is incorrect.
Subtopic:  Speed of Sound |
69%
From NCERT
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A transverse wave is represented by $$y = 2 \sin ( \omega t - kx)$$ cm. The value of wavelength (in cm) for which the wave velocity becomes equal to the maximum particle velocity, will be:
1. $$4 \pi$$
2. $$2 \pi$$
3. $$\pi$$
4. $$2$$
Subtopic:  Wave Motion |
82%
From NCERT
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A source of sound gives $$5$$ beats per second when sounded with another source of frequency $$100$$ per second. The second harmonic of the source, together with a source of frequency $$205$$ per second, gives $$5$$ beats per second. What is the frequency of the source?
1. $$95$$ Hz
2. $$100$$ Hz
3. $$105$$ Hz
4. $$205$$ Hz