To answer this question, the user needs to know about the SPACE parameter used in JCL and its sub-parameters.

Now, let's go through each option and explain why it is right or wrong:

A. Specifies storage space for recording of name and location of partitioned datasets: This option is incorrect. The SECONDARY sub-parameter specifies the amount of additional space required if the originally specified space is insufficient. It does not relate to the recording of name and location of partitioned datasets.

B. Specifies additional storage space if the originally specified space is insufficient: This option is correct. The SECONDARY sub-parameter specifies the amount of additional space required if the originally specified space is insufficient.

C. Specifies storage space at the time the dataset is created: This option is incorrect. The SPACE parameter specifies the primary space allocation required for a dataset at the time of creation. The SECONDARY sub-parameter specifies the amount of additional space required if the originally specified space is insufficient.

D. Specifies the space required in cylinder: This option is incorrect. The SPACE parameter specifies the primary space allocation in terms of tracks, cylinders, or blocks for a dataset. The SECONDARY sub-parameter specifies the amount of additional space required if the originally specified space is insufficient.

Therefore, the correct answer is:

The Answer is: B