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Earth shrinks with its mass unchanged: new length of the day

The same question, asked 2 times: 10 Apr 2023*, 6 Apr 2024. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    10 Apr 2023

    23
    If the earth suddenly shrinks to 164\frac{1}{64} th of its original volume with its mass remaining the same, the period of rotation of earth becomes 24xh\frac{24}{x}h. The value of xx is__

  2. Question 2

    6 Apr 2024

    21
    If the radius of earth is reduced to three-fourth of its present value without change in its mass then value of duration of the day of earth will be ___ hours 30 minutes.