Q1. If a wave has a frequency of 50 Hz and a wavelength of 4 m, what is its speed? (2019)
Solution:
The speed of a wave can be calculated using the formula v = f × λ. Here, v = 50 Hz × 4 m = 200 m/s.
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Q2. A sound wave travels through air at a speed of 340 m/s. What is the wavelength of a sound wave with a frequency of 1700 Hz? (2022)
Solution:
Using the formula λ = v/f, where v is the speed and f is the frequency, we have λ = 340 m/s / 1700 Hz = 0.2 m.
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Q3. If the amplitude of a wave is increased, what effect does it have on the energy of the wave? (2022)
Solution:
The energy of a wave is proportional to the square of its amplitude. Therefore, if the amplitude increases, the energy also increases.
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Q4. A wave has a frequency of 500 Hz and a wavelength of 0.68 m. What is the speed of the wave? (2021)
Solution:
The speed of the wave can be calculated using the formula v = fλ. Thus, v = 500 Hz * 0.68 m = 340 m/s.
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Q5. A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2021)
Solution:
The speed of a wave is given by the formula v = fλ. Here, v = 50 Hz * 2 m = 100 m/s.
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Q6. If the amplitude of a wave is increased, what happens to its energy? (2019)
Solution:
The energy of a wave is proportional to the square of its amplitude. Therefore, if the amplitude increases, the energy also increases.
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Q7. If the amplitude of a wave is tripled, what happens to the energy carried by the wave? (2019)
Solution:
The energy carried by a wave is proportional to the square of the amplitude. Therefore, if the amplitude is tripled, the energy increases by a factor of 3^2 = 9.
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Q8. Which of the following waves requires a medium to travel? (2023)
Solution:
Sound waves require a medium (solid, liquid, or gas) to travel, while electromagnetic waves can travel through a vacuum.
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Q9. Which of the following statements is true about sound waves? (2023)
Solution:
Sound waves require a medium (solid, liquid, or gas) to travel and cannot propagate through a vacuum.
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Q10. What is the relationship between frequency (f) and period (T) of a wave? (2023)
Solution:
The frequency (f) is the reciprocal of the period (T), given by the formula f = 1/T.
