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6.System of Particles and Rotational Motion
medium

જે પદાર્થનો કોણીય વેગમાન $200\%$ વધારવામાં આવે તો તેની ચાકગતિઊર્જામાં ........ $\%$ વધારો થશે.

A

$300$

B

$100$

C

$650$

D

$800$

Solution

${L_1}\, = \,\,L\,,\,\,{L_2} = L\,\, + \,\,\frac{{200}}{{100}}\,\, = \,\,\,3L\,$

ચાક્ગતિઉર્જા માં થતોપ્રતિશત વધારો

$ = \,\,\,\frac{{{E_2} – {E_1}}}{{{E_1}}}\,\, \times \,\,100\,\, = \,\,\left[ {\frac{{{E_2}}}{{{E_1}}} – 1} \right]\,\, \times \,\,100$

$ = \,\,\,\left[ {\frac{{L_2^2}}{{L_1^2}} – 1} \right]\,\,\, \times \,\,100\,\, $

$= \,\,\,\left[ {\frac{{9{L^2}}}{{{L^2}}} – 1} \right]\,\, \times \,\,100\,\,\, = \,\,\,800\% $

Standard 11
Physics

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