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प्रश्न
If the angular momentum of a body increases by 50%, then its kinetic energy of rotation increases by ______ (M.I. remains constant)
पर्याय
50%
100%
125%
200%
MCQ
रिकाम्या जागा भरा
उत्तर
125%
Explanation:
K = `1/2"I"ω^2 = "L"^2/(2"I")`
∴ `"K"_"f"/"K"_"i" = ("L"_"f"/"L"_"i")^2 = (150/100)^2 = 9/4`
∴ `("K"_"f" - "K"_"i")/"K"_"i" xx 100 = ("K"_"f"/"K"_"i" - 1) xx 100`
= `(9/4 - 1) xx 100`
= `500/4 = 125%`.
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Angular Momentum or Moment of Linear Momentum
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