{"id":344671,"date":"2023-01-06T14:12:04","date_gmt":"2023-01-06T08:42:04","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-boy-hears-his-own-echo-from-a-distant-hill-after-0-8-s-1-is-the-distance-from-hill-if-the-speed-of-sound-in-air-is-340m-s\/"},"modified":"2025-06-26T17:54:56","modified_gmt":"2025-06-26T12:24:56","slug":"a-boy-hears-his-own-echo-from-a-distant-hill-after-0-8-s-1-is-the-distance-from-hill-if-the-speed-of-sound-in-air-is-340m-s","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-boy-hears-his-own-echo-from-a-distant-hill-after-08s\/","title":{"rendered":"A boy hears his own echo from a distant hill after 0.8\u00a0s. [[1]] is the distance from hill, if the speed of sound in air is 340m\/s."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A boy hears his own echo from a distant hill after 0.8\u00a0s. [[1]] is the distance from hill, if the speed of sound in air is 340m\/s.","custom_permalink":"question\/physics\/a-boy-hears-his-own-echo-from-a-distant-hill-after-08s\/"},"categories":[],"acf":{"question":"

A boy hears his own echo from a distant hill after <\/span>0<\/mn>.<\/mo>8<\/mn> s<\/mi><\/math>. [[1]] is the distance from hill, if the speed of sound in air is <\/span>340<\/mn>m<\/mi>\/<\/mo>s<\/mi><\/math>.<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;page-break-inside:avoid;line-height:normal;font-size:12pt\"><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;page-break-inside:avoid;line-height:normal;font-size:12pt\">","options":null,"solution":"A boy hears his own echo from a distant hill after <\/span>0<\/mn>.<\/mo>8<\/mn> s<\/mi><\/math>. <\/span>136<\/mn> m<\/mi><\/math> is the distance from hill, if the speed of sound in air is <\/span>340<\/mn>m<\/mi>\/<\/mo>s<\/mi><\/math>.<\/span>
It is given that the time taken by the echo to return is <\/span>0<\/mn>.<\/mo>8<\/mn>s <\/mi><\/math>and the speed of sound in air is<\/span> <\/mi>340<\/mn>m<\/mi>\/<\/mo>s<\/mi><\/math>. <\/span>
The speed of the sound wave is given by distance divided by the time taken. <\/span>
Distance<\/mi>=<\/mo>speed <\/mi>\u00d7<\/mo> time<\/mi><\/math>
                 <\/span>=<\/mo> <\/mi>0<\/mn>.<\/mo>8<\/mn> <\/mi>\u00d7<\/mo> <\/mi>340<\/mn><\/math>
                 <\/span>=<\/mo>136<\/mn> m<\/mi><\/math>
Hence, the distance from the hill is <\/span>136<\/mn> m<\/mi><\/math>.<\/span>
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