{"id":254512,"date":"2022-09-10T11:16:59","date_gmt":"2022-09-10T05:46:59","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/there-is-a-hole-in-the-bottom-of-tank-having-water-if-total-pressure-at-bottom-is-3-atm-1-atm105-n-m2-then-the-velocity-of-water-flowing-from-hole-is\/"},"modified":"2022-09-10T11:16:59","modified_gmt":"2022-09-10T05:46:59","slug":"there-is-a-hole-in-the-bottom-of-tank-having-water-if-total-pressure-at-bottom-is-3-atm-1-atm105-n-m2-then-the-velocity-of-water-flowing-from-hole-is","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/there--is-a-hole-in-the-bottom-of-tank-having-water-if-tota\/","title":{"rendered":"There is a hole in the bottom of tank having water. If total pressure at bottom is 3 atm (1 atm=105 N\/m2) , then the velocity of water flowing from hole is:"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"There is a hole in the bottom of tank having water. If total pressure at bottom is 3 atm (1 atm=105 N\/m2) , then the velocity of water flowing from hole is:","custom_permalink":"question\/physics\/there--is-a-hole-in-the-bottom-of-tank-having-water-if-tota\/"},"categories":[],"acf":{"question":"

There is a hole in the bottom of tank having water. If total pressure at bottom is 3<\/mn> <\/mi>a<\/mi>t<\/mi>m<\/mi><\/mrow><\/math> <\/xml>(<\/mo>1<\/mn> <\/mi>a<\/mi>t<\/mi>m<\/mi>=<\/mo>10<\/mn><\/mrow>5<\/mn><\/msup> <\/mi>N<\/mi>\/<\/mo>m<\/mi>2<\/mn><\/msup><\/mrow><\/mrow><\/mrow>)<\/mo><\/mrow><\/mrow><\/math> <\/xml>, then the velocity of water flowing from hole is: <\/p>","options":[{"option":"

400<\/mn><\/mrow><\/msqrt> <\/mi>m<\/mi>\/<\/mo>s<\/mi><\/mrow><\/mrow><\/math> <\/xml> <\/p>","correct":true},{"option":"

600<\/mn><\/mrow><\/msqrt> <\/mi>m<\/mi>\/<\/mo>s<\/mi><\/mrow><\/mrow><\/math> <\/xml> <\/p>","correct":false},{"option":"

60<\/mn><\/mrow><\/msqrt> <\/mi>m<\/mi>\/<\/mo>s<\/mi><\/mrow><\/mrow><\/math> <\/xml> <\/p>","correct":false},{"option":"

None of these <\/p>","correct":false}],"solution":"

Pressure at the bottom of tank <\/p>

P<\/mi>=<\/mo>D<\/mi>=<\/mo>3<\/mn>\u00d7<\/mo>10<\/mn><\/mrow>5<\/mn><\/msup> <\/mi>N<\/mi>\/<\/mo>m<\/mi>2<\/mn><\/msup><\/mrow><\/mrow>=<\/mo><\/mrow><\/math> <\/xml>Atmospheric pressure + Pressure of liquid columns<\/p>

=<\/mo>P<\/mi>0<\/mn><\/msub>+<\/mo>h<\/mi>\u03c1<\/mi>g<\/mi><\/mrow><\/math> <\/xml><\/p>

Pressure due to liquid column = Pressure difference between bottom and top<\/p>

P<\/mi>\u2212<\/mo>P<\/mi>0<\/mn><\/msub>=<\/mo>P<\/mi>1<\/mn><\/msub>=<\/mo>3<\/mn>\u00d7<\/mo>10<\/mn><\/mrow>5<\/mn><\/msup>\u2212<\/mo>1<\/mn>\u00d7<\/mo>10<\/mn><\/mrow>5<\/mn><\/msup>=<\/mo>2<\/mn>\u00d7<\/mo>10<\/mn><\/mrow>5<\/mn><\/msup>=<\/mo>h<\/mi>\u03c1<\/mi>g<\/mi><\/mrow><\/math> <\/xml><\/p>

And velocity of water, v<\/mi>=<\/mo>2<\/mn>g<\/mi>h<\/mi><\/mrow><\/msqrt><\/mrow><\/math> <\/xml><\/p>

or v<\/mi>=<\/mo>2<\/mn>P<\/mi>1<\/mn><\/msub><\/mrow>\u03c1<\/mi><\/mfrac><\/mrow><\/msqrt>=<\/mo>2<\/mn>\u00d7<\/mo>2<\/mn>\u00d7<\/mo>10<\/mn><\/mrow>5<\/mn><\/msup><\/mrow>10<\/mn><\/mrow>3<\/mn><\/msup><\/mrow><\/mfrac><\/mrow><\/msqrt>=<\/mo>400<\/mn><\/mrow><\/msqrt>m<\/mi>\/<\/mo>s<\/mi><\/mrow><\/mrow><\/math> <\/xml><\/p>

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