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saw5
1 month ago
11

A thermocouple element when taken from a liquid at 50°C and plunged into a liquid at 100° C at time t = 0 gave the following e.m

.f. values. Determine the 95% response time. Use linear interpolation inside the intervals
Engineering
1 answer:
grin007 [323]1 month ago
3 0

Answer:

t(@95%) = 75 s

Explanation:

Given:

Time (s)         0          20           40           60            80            100            120

emf  (mV)     2.5        3.8          4.5          4.8           4.9             5.0            5.0

Determine:

95 % response time t?

Solution:

To find the 95% response time t, we must calculate the 95% emf value:

                             emf = emf_o + 0.95*(emf_ss - emf_o)

where,

                              emf_o = 2.5 mV and emf_ss = 5.0 V

                              emf = 2.5 + 0.95*(5.0 - 2.5)

                              emf = 4.875 mV @ 95%

We observe that the 95% response occurs between 60 s and 80 s. To find the exact time for this response, we will use interpolation within this range:

                              t = m*emf + C          (linear interpolation)

where,

                              m:slope and C: t intercept are constants                                

  m = ( 80 - 60 ) / (4.9 - 4.8 ) = 200

                              C = 80 - 200*4.9 = -900 s

                           

  t(4.875) = 200*4.875 - 900

                               t(@95%) = 75 s

Answer: The time taken for a 95% response is t = 75 s.

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Given num_rows and num_cols, print a list of all seats in a theater. Rows are numbered, columns lettered, as in 1A or 3E. Print
Viktor [391]

Answer:

This is the solution code in Python:

  1. alphabets = ['A', 'B', 'C', 'D', 'E', 'F', 'G', 'H', 'I', 'J']
  2. user_input = input("Enter number of rows and columns: ")
  3. myArr = user_input.split(" ")
  4. num_rows = int(myArr[0])
  5. num_cols = int(myArr[1])
  6. seats = []
  7. for i in range(num_rows):
  8. row = []
  9. for j in range(num_cols):
  10. row.append(alphabets[j])
  11. seats.append(row)
  12. output = ""
  13. for i in range(len(seats)):
  14. for j in range(len(seats[i])):
  15. output += str(i + 1) + seats[i][j] + " "
  16. print(output)

Explanation:

Initially, we create a small list of alphabets from A to J (Line 1).

We then request the user to enter the number of rows and columns (Line 3). Given that the input comes as a string (e.g., "2 3"), we utilize the split() method to separate the numbers into individual items in a list (Line 4). The first item (row number) is assigned to variable num_rows, while the second item (column number) goes to num_cols.

Subsequently, we construct the seats list with a nested for-loop (Lines 10-15). Once the seats list is formed, another nested for-loop generates the required output string as per the question (Lines 19-21).

Finally, the output is printed (Line 23). For example, an input of 2 3 results in the output:

1A 1B 1C 2A 2B 2C

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alex41 [359]

Answer:

a. 25! = 2^{84}(Approximately)

b. 24!

Explanation:

a. In a Playfair cipher, there are 25 keys available because it is structured in a 5 * 4 grid. By using permutations to enumerate all potential configurations, we derive: 25! = 1.551121004×10²⁵ = 2^{84}

Although there are 26 letters available, in the Playfair cipher, the letters 'i' and 'j' are treated as a single letter.

b. Considering any configuration of 5x5, each of the four row shifts yields equivalent configurations, amounting to five total equivalencies. Similarly, for each of these five setups, any of the four column shifts also results in equivalent arrangements. Therefore, each configuration corresponds to 25 equivalent arrangements. Consequently, the total count of distinct keys can be expressed as:

25!/25 = 24! = 6.204484017×10²³

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