A wave travels with a velocity of 300 m/s and has a frequency of 150 Hz. What is its wavelength?
Answer: A
Using v = fλ, where v = 300 m/s and f = 150 Hz, λ = v/f = 150300 = 2 m
Q.2Easy
Which of the following is a characteristic of transverse waves?
Answer: B
In transverse waves, particle oscillation is perpendicular to the direction of wave propagation, such as in electromagnetic waves and ripples on water
Q.3Easy
Two waves of the same frequency interfere constructively. The resultant amplitude is:
Answer: B
In constructive interference, phase difference is 0° or 2πn. Resultant amplitude = A₁ + A₂
Q.4Easy
A string of length L is fixed at both ends. The fundamental frequency is f₁. What is the frequency of the second harmonic?
Answer: B
For a string fixed at both ends, fₙ = nf₁ where n is the harmonic number. Second harmonic (n=2) has f₂ = 2f₁
Q.5Easy
Standing waves are formed when:
Answer: B
Standing waves result from the superposition of two coherent waves traveling in opposite directions with the same frequency
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Q.6Easy
The velocity of a transverse wave on a string depends on:
Answer: B
Wave velocity v = √(T/μ), where T is tension and μ is mass per unit length. It is independent of frequency and amplitude
Q.7Easy
When a longitudinal wave travels through a medium, particles undergo:
Answer: B
In longitudinal waves, particles oscillate parallel to the direction of wave propagation, creating compressions and rarefactions
Q.8Easy
A wave travels on a string with velocity v = 20 m/s. If the frequency is 50 Hz, what is the wavelength?
Answer: A
Using v = fλ, we get λ = v/f = 5020 = 0.4 m
Q.9Easy
Two waves of frequencies 256 Hz and 260 Hz are produced simultaneously. What is the beat frequency?
Answer: B
Beat frequency = |f₁ - f₂| = |256 - 260| = 4 Hz
Q.10Easy
The equation of a wave is y = 5sin(2πt/0.04 - 2πx/0.8) m. What is the wave velocity?
Answer: B
From y = Asin(ωt - kx), ω = 2π/0.04 = 50π, k = 2π/0.8 = 2.5π. v = ω/k = 50π/2.5π = 20 m/s
Q.11Easy
A tuning fork vibrates at 440 Hz. If the speed of sound is 330 m/s, what is the wavelength of sound produced?
Answer: C
λ = v/f = 440330 = 0.75 m
Q.12Easy
The intensity of a sound wave at distance r from a point source varies as:
Answer: C
For a point source, intensity spreads over a sphere of area 4πr², so I ∝ 1/r²
Q.13Easy
A standing wave is formed on a string. At a node, the particle velocity is always:
Answer: B
At nodes, particles do not move. Amplitude of oscillation is zero, hence particle velocity is always zero
Q.14Easy
Energy of a harmonic wave is proportional to:
Answer: B
Energy E ∝ A² for harmonic waves. Kinetic energy = (21)mω²A²sin²(ωt)
Q.15Easy
A wave travels along a string with velocity v = 20 m/s. If the frequency is 50 Hz, what is the wavelength?
Answer: A
Using v = fλ, we get λ = v/f = 5020 = 0.4 m
Q.16Easy
The speed of light in a medium is 2×10⁸ m/s. What is the refractive index of the medium?
Answer: B
n = c/v = (3×10⁸)/(2×10⁸) = 1.5
Q.17Easy
Two waves of the same frequency interfere constructively. The amplitude of the first wave is 3 units and the second is 4 units. What is the maximum resultant amplitude?
Answer: B
For constructive interference, A_resultant = A₁ + A₂ = 3 + 4 = 7 units
Q.18Easy
The period of a wave is 0.02 seconds. What is its frequency?
Answer: B
f = 1/T = 01.02 = 50 Hz
Q.19Easy
A longitudinal wave has a wavelength of 4 m and speed 400 m/s. The frequency of the wave is:
Answer: C
f = v/λ = 4400 = 100 Hz
Q.20Easy
The intensity of a sound wave is inversely proportional to which of the following?
Answer: B
For a point source, intensity I ∝ 1/r². This is the inverse square law for spherical waves
