Q. A volume is measured as 200 L with an error of 5 L. What is the relative error in percentage?
-
A.
2.5%
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B.
5%
-
C.
1%
-
D.
0.5%
Solution
Relative error = (Absolute error / Measured value) * 100 = (5 / 200) * 100 = 2.5%
Correct Answer: A — 2.5%
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Q. A volume is measured as 250.0 mL with an uncertainty of 1.0 mL. What is the minimum possible volume?
-
A.
249.0 mL
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B.
250.0 mL
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C.
251.0 mL
-
D.
248.0 mL
Solution
Minimum possible volume = Measured volume - Uncertainty = 250.0 mL - 1.0 mL = 249.0 mL.
Correct Answer: A — 249.0 mL
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Q. A wave has a frequency of 10 Hz and a wavelength of 2 m. What is its speed? (2023)
-
A.
5 m/s
-
B.
10 m/s
-
C.
20 m/s
-
D.
15 m/s
Solution
The speed v of a wave is given by v = fλ. Therefore, v = 10 Hz * 2 m = 20 m/s.
Correct Answer: C — 20 m/s
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Q. A wave has a frequency of 10 Hz and a wavelength of 5 m. What is its speed? (2020)
-
A.
50 m/s
-
B.
10 m/s
-
C.
2 m/s
-
D.
5 m/s
Solution
Speed (v) = frequency (f) × wavelength (λ) = 10 Hz × 5 m = 50 m/s.
Correct Answer: A — 50 m/s
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Q. A wave has a frequency of 50 Hz and a speed of 340 m/s. What is its wavelength? (2021)
-
A.
6.8 m
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B.
7.0 m
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C.
7.5 m
-
D.
8.0 m
Solution
Wavelength λ is given by λ = v/f. Thus, λ = 340 m/s / 50 Hz = 6.8 m.
Correct Answer: A — 6.8 m
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Q. A wave has a frequency of 50 Hz and a wavelength of 2 m. What is its speed?
-
A.
25 m/s
-
B.
50 m/s
-
C.
100 m/s
-
D.
75 m/s
Solution
Speed v = f × λ = 50 Hz × 2 m = 100 m/s.
Correct Answer: B — 50 m/s
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Q. A wave has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2021)
-
A.
25 m/s
-
B.
50 m/s
-
C.
100 m/s
-
D.
200 m/s
Solution
The speed of a wave is given by the formula v = fλ. Here, v = 50 Hz * 2 m = 100 m/s.
Correct Answer: B — 50 m/s
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Q. A wave has a frequency of 50 Hz and a wavelength of 3 m. What is its speed?
-
A.
150 m/s
-
B.
100 m/s
-
C.
50 m/s
-
D.
200 m/s
Solution
Speed v = f × λ = 50 Hz × 3 m = 150 m/s.
Correct Answer: B — 100 m/s
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Q. A wave has a frequency of 500 Hz and a wavelength of 0.5 m. What is the speed of the wave? (2023)
-
A.
250 m/s
-
B.
500 m/s
-
C.
1000 m/s
-
D.
2000 m/s
Solution
The speed of the wave can be calculated using the formula v = fλ. Here, v = 500 Hz * 0.5 m = 250 m/s.
Correct Answer: B — 500 m/s
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Q. A wave has a frequency of 500 Hz and a wavelength of 0.6 m. What is the speed of the wave? (2022)
-
A.
300 m/s
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B.
500 m/s
-
C.
600 m/s
-
D.
400 m/s
Solution
Using the wave equation v = fλ, we find v = 500 Hz * 0.6 m = 300 m/s.
Correct Answer: A — 300 m/s
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Q. A wave has a frequency of 500 Hz and a wavelength of 0.68 m. What is the speed of the wave? (2021)
-
A.
340 m/s
-
B.
500 m/s
-
C.
680 m/s
-
D.
250 m/s
Solution
The speed of the wave can be calculated using the formula v = fλ. Thus, v = 500 Hz * 0.68 m = 340 m/s.
Correct Answer: A — 340 m/s
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Q. A wave has a frequency of 60 Hz and a wavelength of 1.5 m. What is its speed? (2022)
-
A.
90 m/s
-
B.
60 m/s
-
C.
40 m/s
-
D.
30 m/s
Solution
Speed (v) = frequency (f) × wavelength (λ) = 60 Hz × 1.5 m = 90 m/s.
Correct Answer: A — 90 m/s
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Q. A wave has a frequency of 60 Hz and a wavelength of 3 m. What is its speed? (2016)
-
A.
180 m/s
-
B.
120 m/s
-
C.
60 m/s
-
D.
90 m/s
Solution
Speed v = f × λ = 60 Hz × 3 m = 180 m/s.
Correct Answer: A — 180 m/s
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Q. A wave has a frequency of 60 Hz and a wavelength of 3 m. What is the speed of the wave?
-
A.
180 m/s
-
B.
120 m/s
-
C.
60 m/s
-
D.
30 m/s
Solution
The speed v of a wave is given by v = fλ. Thus, v = 60 * 3 = 180 m/s.
Correct Answer: B — 120 m/s
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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
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
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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
Solution
Speed (v) = frequency (f) × wavelength (λ) = 300 Hz × 0.5 m = 150 m/s.
Correct Answer: A — 150 m/s
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Q. A wave has a wavelength of 0.5 m and a frequency of 600 Hz. What is the speed of the wave?
-
A.
300 m/s
-
B.
600 m/s
-
C.
1200 m/s
-
D.
1500 m/s
Solution
The speed v of a wave is given by v = fλ. Here, v = 600 Hz * 0.5 m = 300 m/s.
Correct Answer: A — 300 m/s
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Q. A wave has an amplitude of 0.5 m and a frequency of 10 Hz. What is the maximum speed of a particle in the wave?
-
A.
3.14 m/s
-
B.
6.28 m/s
-
C.
9.42 m/s
-
D.
12.56 m/s
Solution
The maximum speed v_max is given by v_max = ωA, where ω = 2πf. Thus, ω = 2π(10) = 20π and v_max = 20π(0.5) = 10π ≈ 31.42 m/s.
Correct Answer: B — 6.28 m/s
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Q. A wave is described by the equation y(x, t) = 0.2 cos(4x - 5t). What is the amplitude of the wave?
-
A.
0.1 m
-
B.
0.2 m
-
C.
0.3 m
-
D.
0.4 m
Solution
The amplitude of the wave is the coefficient of the cosine function, which is 0.2 m.
Correct Answer: B — 0.2 m
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Q. A wave on a string has a frequency of 10 Hz and a wavelength of 2 m. What is the speed of the wave? (2022)
-
A.
5 m/s
-
B.
10 m/s
-
C.
15 m/s
-
D.
20 m/s
Solution
Wave speed v is given by v = fλ. Thus, v = 10 Hz * 2 m = 20 m/s.
Correct Answer: B — 10 m/s
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Q. A wave on a string has a frequency of 60 Hz and a wavelength of 0.5 m. What is the speed of the wave? (2021)
-
A.
30 m/s
-
B.
60 m/s
-
C.
120 m/s
-
D.
15 m/s
Solution
Speed (v) = Frequency (f) × Wavelength (λ) = 60 Hz × 0.5 m = 30 m/s.
Correct Answer: C — 120 m/s
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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
Solution
Frequency f = v/λ = 50 m/s / 2 m = 25 Hz.
Correct Answer: A — 25 Hz
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Q. A wave on a string is described by the equation y(x, t) = 0.05 cos(4x - 3t). What is the amplitude of the wave?
-
A.
0.05 m
-
B.
0.1 m
-
C.
0.2 m
-
D.
0.3 m
Solution
The amplitude of the wave is the coefficient of the cosine function, which is 0.05 m.
Correct Answer: A — 0.05 m
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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
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
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Q. A wave on a string is described by the equation y(x, t) = 0.1 sin(2π(0.5x - 10t)). What is the speed of the wave?
-
A.
5 m/s
-
B.
10 m/s
-
C.
20 m/s
-
D.
25 m/s
Solution
The speed of the wave v is given by v = fλ. Here, f = 10 Hz and λ = 2 m (from k = 2π/λ). Thus, v = 10 * 2 = 20 m/s.
Correct Answer: B — 10 m/s
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Q. A wave on a string is described by the equation y(x, t) = 0.1 sin(2π(0.5x - 2t)). What is the speed of the wave?
-
A.
1 m/s
-
B.
2 m/s
-
C.
0.5 m/s
-
D.
4 m/s
Solution
The speed of the wave v is given by v = ω/k. Here, ω = 2π(2) = 4π rad/s and k = 2π(0.5) = π rad/m. Thus, v = (4π)/(π) = 4 m/s.
Correct Answer: B — 2 m/s
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Q. A wave on a string is described by the equation y(x, t) = 0.1 sin(2πx - 4πt). What is the amplitude of the wave?
-
A.
0.1 m
-
B.
0.2 m
-
C.
0.4 m
-
D.
1 m
Solution
The amplitude is the coefficient of the sine function, which is 0.1 m.
Correct Answer: A — 0.1 m
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Q. A wave on a string is described by the equation y(x, t) = A sin(kx - ωt). What does 'A' represent?
-
A.
Wavelength
-
B.
Frequency
-
C.
Amplitude
-
D.
Wave number
Solution
'A' represents the amplitude of the wave, which is the maximum displacement from the equilibrium position.
Correct Answer: C — Amplitude
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Q. A wave on a string is described by the equation y(x, t) = A sin(kx - ωt). What does 'k' represent?
-
A.
Angular frequency
-
B.
Wave number
-
C.
Amplitude
-
D.
Phase constant
Solution
'k' is the wave number, which is related to the wavelength of the wave.
Correct Answer: B — Wave number
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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
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
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