Q. A wave has a speed of 300 m/s and a frequency of 150 Hz. What is its wavelength? (2022)
A.
1 m
B.
2 m
C.
3 m
D.
4 m
Show solution
Solution
Wavelength λ can be calculated using the formula λ = v/f. Therefore, λ = 300 m/s / 150 Hz = 2 m.
Correct Answer: B — 2 m
Learn More →
Q. A wave has a wavelength of 0.5 m and a frequency of 300 Hz. What is its speed? (2020)
A.
150 m/s
B.
300 m/s
C.
600 m/s
D.
1200 m/s
Show solution
Solution
Speed (v) = frequency (f) × wavelength (λ) = 300 Hz × 0.5 m = 150 m/s.
Correct Answer: A — 150 m/s
Learn More →
Q. A wave on a string has a speed of 50 m/s and a wavelength of 2 m. What is its frequency? (2018)
A.
25 Hz
B.
50 Hz
C.
100 Hz
D.
75 Hz
Show solution
Solution
Frequency f = v/λ = 50 m/s / 2 m = 25 Hz.
Correct Answer: A — 25 Hz
Learn More →
Q. A wave on a string is described by the equation y(x, t) = 0.05 sin(2π(0.1x - 5t)). What is the amplitude of the wave?
A.
0.01 m
B.
0.05 m
C.
0.1 m
D.
0.2 m
Show solution
Solution
The amplitude of the wave is the coefficient in front of the sine function. Here, the amplitude is 0.05 m.
Correct Answer: B — 0.05 m
Learn More →
Q. A wave pulse travels along a string and reflects off a fixed end. What happens to the wave upon reflection? (2021)
A.
It inverts
B.
It remains unchanged
C.
It doubles in amplitude
D.
It disappears
Show solution
Solution
When a wave pulse reflects off a fixed end, it inverts due to the boundary condition at the fixed end.
Correct Answer: A — It inverts
Learn More →
Q. A wave traveling along a string has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2020)
A.
25 m/s
B.
50 m/s
C.
100 m/s
D.
75 m/s
Show solution
Solution
Speed (v) = frequency (f) × wavelength (λ) = 50 Hz × 2 m = 100 m/s.
Correct Answer: C — 100 m/s
Learn More →
Q. A wave travels in a medium with a speed of 300 m/s and has a frequency of 75 Hz. What is the wavelength? (2021)
A.
4 m
B.
2 m
C.
3 m
D.
1 m
Show solution
Solution
Wavelength λ = v/f = 300 m/s / 75 Hz = 4 m.
Correct Answer: A — 4 m
Learn More →
Q. A wave travels through a medium with a speed of 500 m/s and has a wavelength of 2 m. What is its frequency? (2022)
A.
250 Hz
B.
500 Hz
C.
1000 Hz
D.
2000 Hz
Show solution
Solution
Using the wave equation v = fλ, we can find frequency f = v/λ = 500 m/s / 2 m = 250 Hz.
Correct Answer: A — 250 Hz
Learn More →
Q. A wave travels with a speed of 340 m/s and has a frequency of 170 Hz. What is its wavelength? (2022)
A.
2.0 m
B.
1.0 m
C.
0.5 m
D.
3.0 m
Show solution
Solution
Wavelength λ = v/f = 340 m/s / 170 Hz = 2.0 m.
Correct Answer: A — 2.0 m
Learn More →
Q. If the amplitude of a wave is doubled, how does it affect the energy of the wave? (2020)
A.
Remains the same
B.
Doubles
C.
Increases by four times
D.
Halves
Show solution
Solution
Energy of a wave is proportional to the square of the amplitude. If amplitude is doubled, energy increases by (2^2) = 4 times.
Correct Answer: C — Increases by four times
Learn More →
Q. If the amplitude of a wave is doubled, how does this affect the energy carried by the wave? (2021)
A.
Energy is halved
B.
Energy remains the same
C.
Energy is doubled
D.
Energy is quadrupled
Show solution
Solution
The energy carried by a wave is proportional to the square of the amplitude. Therefore, if the amplitude is doubled, the energy increases by a factor of four.
Correct Answer: D — Energy is quadrupled
Learn More →
Q. If the frequency of a vibrating tuning fork is 440 Hz, what is the time period of the vibration? (2023)
A.
0.00227 s
B.
0.005 s
C.
0.01 s
D.
0.0227 s
Show solution
Solution
The time period T is the reciprocal of frequency f, T = 1/f. Therefore, T = 1/440 ≈ 0.00227 s.
Correct Answer: A — 0.00227 s
Learn More →
Q. If the frequency of a wave is halved, what happens to its wavelength? (2015)
A.
Halves
B.
Doubles
C.
Remains the same
D.
Increases by four times
Show solution
Solution
Wavelength is inversely proportional to frequency. If frequency is halved, wavelength doubles.
Correct Answer: B — Doubles
Learn More →
Q. In a damped harmonic oscillator, what happens to the amplitude over time? (2023)
A.
Increases
B.
Decreases
C.
Remains constant
D.
Oscillates
Show solution
Solution
In a damped harmonic oscillator, the amplitude decreases over time due to energy loss.
Correct Answer: B — Decreases
Learn More →
Q. In a harmonic oscillator, if the mass is doubled while keeping the spring constant the same, how does the frequency change? (2021)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
Frequency (f) = (1/2π)√(k/m). If mass (m) is doubled, frequency decreases.
Correct Answer: B — Decreases
Learn More →
Q. The frequency of a tuning fork is 440 Hz. What is the time period of the fork? (2019)
A.
0.00227 s
B.
0.0045 s
C.
0.01 s
D.
0.005 s
Show solution
Solution
Time period (T) = 1 / frequency (f) = 1 / 440 Hz ≈ 0.00227 s.
Correct Answer: A — 0.00227 s
Learn More →
Q. The frequency of a tuning fork is 440 Hz. What is the time period of the sound wave produced? (2022)
A.
0.00227 s
B.
0.0045 s
C.
0.01 s
D.
0.005 s
Show solution
Solution
Time period (T) = 1 / frequency (f) = 1 / 440 Hz ≈ 0.00227 s.
Correct Answer: A — 0.00227 s
Learn More →
Q. The maximum displacement of a wave from its rest position is called what? (2022)
A.
Amplitude
B.
Wavelength
C.
Frequency
D.
Period
Show solution
Solution
The maximum displacement from the rest position is defined as the amplitude of the wave.
Correct Answer: A — Amplitude
Learn More →
Q. What is the frequency of a pendulum that completes 30 oscillations in 60 seconds? (2017)
A.
0.5 Hz
B.
1 Hz
C.
2 Hz
D.
3 Hz
Show solution
Solution
Frequency f = number of oscillations / time = 30 / 60 = 0.5 Hz.
Correct Answer: B — 1 Hz
Learn More →
Q. What is the frequency of a tuning fork that vibrates 256 times in 2 seconds? (2019)
A.
128 Hz
B.
256 Hz
C.
512 Hz
D.
64 Hz
Show solution
Solution
Frequency (f) = Number of vibrations / Time = 256 / 2 = 128 Hz.
Correct Answer: A — 128 Hz
Learn More →
Q. What is the frequency of a wave with a period of 0.01 s? (2020)
A.
100 Hz
B.
50 Hz
C.
200 Hz
D.
10 Hz
Show solution
Solution
Frequency f = 1/T = 1/0.01 s = 100 Hz.
Correct Answer: A — 100 Hz
Learn More →
Q. What is the frequency of a wave with a period of 0.1 s? (2020)
A.
10 Hz
B.
5 Hz
C.
20 Hz
D.
15 Hz
Show solution
Solution
Frequency f = 1/T = 1/0.1 s = 10 Hz.
Correct Answer: A — 10 Hz
Learn More →
Q. What is the frequency of a wave with a speed of 300 m/s and a wavelength of 3 m? (2023)
A.
100 Hz
B.
150 Hz
C.
200 Hz
D.
250 Hz
Show solution
Solution
Frequency (f) = speed (v) / wavelength (λ) = 300 m/s / 3 m = 100 Hz.
Correct Answer: B — 150 Hz
Learn More →
Q. What is the maximum displacement of a mass-spring system oscillating with an amplitude of 0.3 m? (2023)
A.
0.1 m
B.
0.2 m
C.
0.3 m
D.
0.4 m
Show solution
Solution
The maximum displacement in a mass-spring system is defined as the amplitude, which is given as 0.3 m.
Correct Answer: C — 0.3 m
Learn More →
Q. What is the phase difference between two particles in the same wave at a distance of half a wavelength? (2022)
A.
0 radians
B.
π/2 radians
C.
π radians
D.
3π/2 radians
Show solution
Solution
The phase difference between two points separated by half a wavelength is π radians.
Correct Answer: C — π radians
Learn More →
Q. What is the phase difference between two points on a wave that are 1/4 of a wavelength apart? (2021)
A.
0 rad
B.
π/2 rad
C.
π rad
D.
3π/2 rad
Show solution
Solution
The phase difference Δφ is given by Δφ = (2π/λ) * Δx. For Δx = λ/4, Δφ = (2π/λ) * (λ/4) = π/2 rad.
Correct Answer: B — π/2 rad
Learn More →
Q. What is the relationship between the frequency and the period of a wave? (2021)
A.
Frequency is the square of the period
B.
Period is the reciprocal of frequency
C.
Frequency and period are unrelated
D.
Period is the square root of frequency
Show solution
Solution
The period T is the reciprocal of frequency f, given by T = 1/f.
Correct Answer: B — Period is the reciprocal of frequency
Learn More →
Q. What is the total mechanical energy of a simple harmonic oscillator at maximum displacement? (2022)
A.
Zero
B.
Maximum
C.
Minimum
D.
Constant
Show solution
Solution
At maximum displacement, the total mechanical energy of a simple harmonic oscillator is at its maximum, as all energy is potential.
Correct Answer: B — Maximum
Learn More →
Q. What is the total mechanical energy of a simple harmonic oscillator with a mass of 1 kg, amplitude of 0.1 m, and spring constant of 100 N/m? (2022)
A.
0.5 J
B.
1 J
C.
2 J
D.
4 J
Show solution
Solution
The total mechanical energy E is given by E = (1/2)kA². Therefore, E = (1/2)(100)(0.1)² = 0.5 J.
Correct Answer: B — 1 J
Learn More →
Showing 31 to 59 of 59 (2 Pages)
