ഒരു പന്തിന്റെ പിണ്ഡവും വേഗതയും ഇരട്ടിയാക്കിയാൽ, ഗതികോർജ്ജം ______ തവണയായി മാറുന്നു.

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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ആശയം:

ഗതികോർജ്ജം:

ഒരു വസ്തുവിന്റെ ചലനം മൂലം ഉണ്ടാകുന്ന ഊർജ്ജത്തെ ഗതികോർജ്ജം എന്ന് വിളിക്കുന്നു.

സൂത്രവാക്യം, ഗതികോർജ്ജം\(K.E=\frac{1}{2}mv^2\)ഇവിടെ m =പിണ്ഡം, v =പ്രവേഗം

ഗതികോർജ്ജത്തിന്റെ SI യൂണിറ്റ് ജൂൾസ് (J) ആണ്.

കണക്കുകൂട്ടൽ:

നൽകിയിരിക്കുന്നത്:

ഗതികോർജ്ജം ഇതാണ്, \(E=\frac{1}{2}mv^2\). . . . . . . . .(1)

If m' = 2m, v' = 2v

പുതിയ ഗതികോർജ്ജം, \(K.E'=\frac{1}{2}m'v'^2\)

\(K.E'=\frac{1}{2}(2m)(2v)^2\)

\(K.E'=8\frac{1}{2}mv^2\)

സമവാക്യത്തിൽ നിന്ന് (1), K.E' = 8 K.E

അതിനാൽ, ഗതികോർജ്ജം 8 മടങ്ങായി മാറുന്നു.

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