यदि किसी गेंद के द्रव्यमान और गति दोनों को दोगुना कर दिया जाए, तब गतिज ऊर्जा ______ गुना हो जाती है।

This question was previously asked in
RRB ALP Electrician 22 Jan 2019 Official Paper (Shift 3)
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  1. 4
  2. 2
  3. 16
  4. 8

Answer (Detailed Solution Below)

Option 4 : 8
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Detailed Solution

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संकल्पना:

गतिज ऊर्जा:

  • किसी वस्तु की गति के कारण उत्पन्न ऊर्जा को गतिज ऊर्जा कहते हैं।
  • सूत्र, गतिज ऊर्जा,  जहाँ, m = द्रव्यमान, v = वेग 
  • गतिज ऊर्जा की SI इकाई जूल (J) होती है।

गणना:

दिया गया है:

गतिज ऊर्जा है, . . . . . . . . .(1)

यदि m' = 2m, v' = 2v

नई गतिज ऊर्जा, 

समीकरण (1) से, K.E' = 8 K.E

अत: गतिज ऊर्जा 8 गुनी हो जाती है।

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