A magnetic tape drive has transport speed of 200 inches per second and a…

2022

A magnetic tape drive has transport speed of 200 inches per second and a recording density of 1600 bytes per inch. The time required to write 600000 bytes of data grouped in 100-character records with a blocking factor of 10 and an inter-block gap of 0.25 inch is

  1. A.

    2.0625sec

  2. B.

    2.6251sec

  3. C.

    2.0062sec

  4. D.

    2.6150sec

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Correct answer: B

Block size = 100 characters × 10 = 1000 bytes. Number of blocks = 600000/1000 = 600. Data transfer rate = 200 inches/s × 1600 bytes/inch = 320000 bytes/s, so data transfer time = 600000/320000 = 1.875 s. Inter-block gap time = 600 × 0.25/200 = 0.75 s. Therefore, total time = 1.875 + 0.75 = 2.625 s, so the closest option is 2.6251 sec.

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