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Question
Jacob was stranded on an island. He was trying to communicate with his friend using a radio transmitter. The quality of communication is measured using a number called Q factor. Jacob tried out different frequency ranges and noted down the Q factors in each range. Identify the frequency with maximum Q factor. Given that the maximum frequency occurs in the range 175-200.
Frequency100−125125−150150−175175−200200−225225−250range(in kHz)Q factor(in %)203560857050
Jacob was stranded on an island. He was trying to communicate with his friend using a radio transmitter. The quality of communication is measured using a number called Q factor. Jacob tried out different frequency ranges and noted down the Q factors in each range. Identify the frequency with maximum Q factor. Given that the maximum frequency occurs in the range 175-200.
Frequency100−125125−150150−175175−200200−225225−250range(in kHz)Q factor(in %)203560857050
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Solution
The correct option is B 190.625 kHz
We need to find the modal frequency of
the given distribution. Given that the modal
class is 175-200.
Here, L=175;D1=85−60=25
D2=85−70=15;h=25
Mode=L+D1D1+D2×h=175+2540×25=190.625 kHz
The frequency with maximum Q factor
is 190.625 kHz
We need to find the modal frequency of
the given distribution. Given that the modal
class is 175-200.
Here, L=175;D1=85−60=25
D2=85−70=15;h=25
Mode=L+D1D1+D2×h=175+2540×25=190.625 kHz
The frequency with maximum Q factor
is 190.625 kHz
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