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On a spherical globe of radius 10 units, the distance between A and B is 25 units. If it is uniformly expanded to a globe of radius 50 units, the distance between them in the same units would be

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CSIR UGC (NET) Mathematical Science: Held On (7 June 2023)
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  1. 75
  2. 125
  3. 150
  4. 625

Answer (Detailed Solution Below)

Option 4 : 625
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Detailed Solution

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Concept:

Surface area of a sphere of radius r is 4πr2

Explanation:

Original radius of globe = 1o units and distance between A and B is 25 units

Now, after expansion, radius is 50 unit

so radius increase 5 times.

Therefore, surface area will increase 52 = 25 times  

Hence now distance between A and B = 25 × 25 = 625 unit

Option (4) is correct

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Last updated on Jun 5, 2025

-> The NTA has released the CSIR NET 2025 Notification for the June session.

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