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Question

Match List - I with List - II. Match the following filter characteristics with graph showing frequency versus magnitude along $x$ and $y$ axis, respectively :
 

List - IList - II
A. Low pass filterI.
B. High pass filterII.
C. Band-pass filterIII.
D. Band-reject filterIV.


Choose the correct answer from the options given below :

The correct answer is
A-II, B-IV, C-I, D-III

To solve this problem, we need to match the filter characteristics from List-I with the corresponding frequency response graphs from List-II.

Let's explain each type of filter:

  1. Low Pass Filter: This filter allows signals with a frequency lower than a certain cutoff frequency to pass through and attenuates frequencies higher than the cutoff frequency. The frequency response graph typically starts at a point on the y-axis and drops to zero as the frequency increases.
  2. High Pass Filter: This filter allows signals with a frequency higher than a certain cutoff frequency to pass through and attenuates frequencies lower than the cutoff frequency. Its graph starts at zero and rises to a point as the frequency increases.
  3. Band-pass Filter: This filter allows signals within a certain frequency range to pass through and attenuates signals outside this range. Its graph shows a distinct passband.
  4. Band-reject Filter: Also known as a notch filter, it attenuates signals within a certain frequency range while allowing those outside this range to pass. Its graph shows a notch at the reject band.

Now, match each graph with the correct filter type:

  • This graph represents a Low Pass Filter (Option A matches with II).
  • This graph represents a High Pass Filter (Option B matches with IV).
  • This graph represents a Band-pass Filter (Option C matches with I).
  • This graph represents a Band-reject Filter (Option D matches with III).

Therefore, the correct matching is:

Option: A-II, B-IV, C-I, D-III

This matches the given correct answer.

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