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  • A mass  attached to free end of a spring executes SHM with a period of <img alt="\mathrm{1s}" src

A mass \mathrm{m} attached to free end of a spring executes SHM with a period of \mathrm{1s}. If the mass is increased by \mathrm{ 3 kg} the period of oscillation increases by one second, the value of mass m is _____ \mathrm{kg}.

Option: 1

1


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

2\pi\sqrt{\frac{m}{k}}=1.................(1)

2\pi\sqrt{\frac{m+3}{k}}=2...............(2)

(2)\div (1)

\mathrm{\sqrt{\frac{m+3}{m}}}=\frac{2}{1}

\mathrm{\frac{m+3}{m}}=4

\mathrm{4m=m+3}

\mathrm{m=1kg}

Posted by

manish painkra

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