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Q13 (CISF/2017) Science & Technology › Basic Science (Physics, Chemistry, Biology)

At 8: 30 am, the angle between the minute and hour hands is

Result
Your answer: —  ·  Correct: B

Explanation

To calculate the angle between the hour and minute hands, we use the standard formula:

Angle = |30h - (11⁄2)m|

Where h represents the hours and m represents the minutes. For the time 8:30 AM:

  • h = 8
  • m = 30

Substituting these values into the formula:

Angle = |30(8) - (11⁄2)(30)|
Angle = |240 - 11(15)|
Angle = |240 - 165|
Angle = 75°

Alternatively, at 8:30, the minute hand is exactly at the 6 mark (180°). The hour hand, which moves at 0.5° per minute, has moved 15° (0.5° × 30) past the 8 mark (240°). Thus, the hour hand is at 255°. The difference is |255° - 180°| = 75°.

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