1.

If a person drops a pebble in a well of 100 m depth, after how much time (in seconds) will he be able to hear the sound?Given:Acceleration due to gravity, g=10 ms−2Speed of sound in air, v=343 ms−1

Answer» <p>If a person drops a pebble in a well of <span class="mjx-chtml" id="MathJax-Element-1-Frame"><span class="mjx-math" id="MJXc-Node-1672"><span class="mjx-mrow" id="MJXc-Node-1673"><span class="mjx-mn" id="MJXc-Node-1674"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">100</span></span><span class="mjx-mtext" id="MJXc-Node-1675"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.291em; padding-bottom: 0.372em;"> </span></span><span class="mjx-mi" id="MJXc-Node-1676"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">m</span></span></span></span></span> depth, after how much time (in seconds) will he be able to hear the sound?<br><br>Given:<br><br>Acceleration due to gravity, <span class="mjx-chtml" id="MathJax-Element-2-Frame"><span class="mjx-math" id="MJXc-Node-1677"><span class="mjx-mrow" id="MJXc-Node-1678"><span class="mjx-mi" id="MJXc-Node-1679"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.519em; padding-right: 0.003em;">g</span></span><span class="mjx-mo MJXc-space3" id="MJXc-Node-1680"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.077em; padding-bottom: 0.298em;">=</span></span><span class="mjx-mn MJXc-space3" id="MJXc-Node-1681"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">10</span></span><span class="mjx-mtext" id="MJXc-Node-1682"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.291em; padding-bottom: 0.372em;"> </span></span><span class="mjx-mi" id="MJXc-Node-1683"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">m</span></span><span class="mjx-msubsup" id="MJXc-Node-1684"><span class="mjx-base"><span class="mjx-mi" id="MJXc-Node-1685"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">s</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.513em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-texatom" id="MJXc-Node-1686" style=""><span class="mjx-mrow" id="MJXc-Node-1687"><span class="mjx-mo" id="MJXc-Node-1688"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.446em;">−</span></span><span class="mjx-mn" id="MJXc-Node-1689"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span></span></span></span></span><br><br>Speed of sound in air, <span class="mjx-chtml" id="MathJax-Element-3-Frame"><span class="mjx-math" id="MJXc-Node-1690"><span class="mjx-mrow" id="MJXc-Node-1691"><span class="mjx-mi" id="MJXc-Node-1692"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">v</span></span><span class="mjx-mo MJXc-space3" id="MJXc-Node-1693"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.077em; padding-bottom: 0.298em;">=</span></span><span class="mjx-mn MJXc-space3" id="MJXc-Node-1694"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">343</span></span><span class="mjx-mtext" id="MJXc-Node-1695"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.291em; padding-bottom: 0.372em;"> </span></span><span class="mjx-mi" id="MJXc-Node-1696"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">m</span></span><span class="mjx-msubsup" id="MJXc-Node-1697"><span class="mjx-base"><span class="mjx-mi" id="MJXc-Node-1698"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">s</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.513em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-texatom" id="MJXc-Node-1699" style=""><span class="mjx-mrow" id="MJXc-Node-1700"><span class="mjx-mo" id="MJXc-Node-1701"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.446em;">−</span></span><span class="mjx-mn" id="MJXc-Node-1702"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">1</span></span></span></span></span></span></span></span></span></p><br><br>


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