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  • For two objects rolling from same point on inclined plane then

For two objects rolling from same point on inclined plane then \mathrm{\frac{t_1}{t_2}} will be-

 

Option: 1

\mathrm{\sqrt{\frac{a_1}{a_2}}}
 


Option: 2

\mathrm{\sqrt{\frac{a_2}{a_1}}}
 


Option: 3

\mathrm{\sqrt{a_1 a_2}}
 


Option: 4

\mathrm{\sqrt{\frac{2 a_2}{a_1}}}


Answers (1)

best_answer

If object initially at rest \mathrm{v=0}

\mathrm{s=\frac{1}{2} a_c t^2 }

\mathrm{ t=\sqrt{\frac{2s}{a_c}}}

Case I for first object time \mathrm{t_1=\sqrt{\frac{25}{a_1}}}
Case II If for second object time \mathrm{t_2=\sqrt{\frac{2s}{a_2}}}

then, \mathrm{\frac{t_1}{t_2}=\sqrt{\frac{2s}{a_1}} \times \sqrt{\frac{a_2}{2s}}}

\mathrm{\frac{t_1}{t_2}=\frac{a_2}{a_1}}

Hence option 2 is correct.


 

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