wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
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

A
185.75 kHz
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
190.625 kHz
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
200 kHz
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
212.5 kHz
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
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=8560=25
D2=8570=15;h=25
Mode=L+D1D1+D2×h=175+2540×25=190.625 kHz

The frequency with maximum Q factor
is 190.625 kHz

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Modes of Frequency Distribution
STATISTICS
Watch in App
Join BYJU'S Learning Program
CrossIcon