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A Lissajous pattern on the oscilloscope is stationary having 8 vertical maximum values and 6 horizontal maximum values. The frequency of vertical input of the frequency of horizontal input if the frequency of horizontal input is 1800 kHz is – (in kHz)
Correct answer is '1350'. Can you explain this answer?
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Verified Answer
A Lissajous pattern on the oscilloscope is stationary having 8 vertica...
Given that,
Horizontal frequency (fH) = 1800 kHz
Number of vertical tangencies (Nv) = 8
Number of horizontal tangencies (NH) = 6
We know that,
fHNH = fvNv
Horizontal frequency (fH) = 1800 kHz
Number of vertical tangencies (Nv) = 8
Number of horizontal tangencies (NH) = 6
We know that,
fHNH = fvNv
Most Upvoted Answer
A Lissajous pattern on the oscilloscope is stationary having 8 vertica...
1500 kHz.
The ratio of the frequencies of the vertical and horizontal inputs is given by the formula:
f_v/f_h = n_v/n_h
where f_v and f_h are the frequencies of the vertical and horizontal inputs, and n_v and n_h are the number of maximum values in the vertical and horizontal directions, respectively.
In this case, n_v = 8 and n_h = 6, and f_h = 1800 kHz. Substituting these values into the formula, we get:
f_v/1800 kHz = 8/6
Simplifying, we get:
f_v = (8/6) x 1800 kHz = 2400 kHz/2 = 1200 kHz
Therefore, the frequency of the vertical input is 1200 kHz, and the ratio of the frequencies is:
f_v/f_h = 1200 kHz/1800 kHz = 2/3
Alternatively, we can use the fact that the Lissajous pattern is stationary to determine the frequency ratio. Since the pattern has 8 vertical maximum values and 6 horizontal maximum values, it completes 8 cycles in the vertical direction for every 6 cycles in the horizontal direction. Therefore, the frequency ratio is:
f_v/f_h = 8/6 = 4/3
Multiplying both sides by f_h, we get:
f_v = (4/3) x 1800 kHz = 2400 kHz/2 = 1200 kHz
which confirms our previous result.
The ratio of the frequencies of the vertical and horizontal inputs is given by the formula:
f_v/f_h = n_v/n_h
where f_v and f_h are the frequencies of the vertical and horizontal inputs, and n_v and n_h are the number of maximum values in the vertical and horizontal directions, respectively.
In this case, n_v = 8 and n_h = 6, and f_h = 1800 kHz. Substituting these values into the formula, we get:
f_v/1800 kHz = 8/6
Simplifying, we get:
f_v = (8/6) x 1800 kHz = 2400 kHz/2 = 1200 kHz
Therefore, the frequency of the vertical input is 1200 kHz, and the ratio of the frequencies is:
f_v/f_h = 1200 kHz/1800 kHz = 2/3
Alternatively, we can use the fact that the Lissajous pattern is stationary to determine the frequency ratio. Since the pattern has 8 vertical maximum values and 6 horizontal maximum values, it completes 8 cycles in the vertical direction for every 6 cycles in the horizontal direction. Therefore, the frequency ratio is:
f_v/f_h = 8/6 = 4/3
Multiplying both sides by f_h, we get:
f_v = (4/3) x 1800 kHz = 2400 kHz/2 = 1200 kHz
which confirms our previous result.
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A Lissajous pattern on the oscilloscope is stationary having 8 vertical maximum values and 6 horizontal maximum values. The frequency of vertical input of the frequency of horizontal input if the frequency of horizontal input is 1800 kHz is – (in kHz)Correct answer is '1350'. Can you explain this answer?
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