{"id":343941,"date":"2023-01-06T13:41:59","date_gmt":"2023-01-06T08:11:59","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/an-electric-heater-of-1000-w-is-working-daily-for-5-hrs-in-the-month-of-september-and-the-rate-of-1-unit-of-electricity-is-%e2%82%b9-6-00-then-the-total-cost-and-end-of-the-month\/"},"modified":"2025-06-26T18:03:20","modified_gmt":"2025-06-26T12:33:20","slug":"an-electric-heater-of-1000-w-is-working-daily-for-5-hrs-in-the-month-of-september-and-the-rate-of-1-unit-of-electricity-is-%e2%82%b9-6-00-then-the-total-cost-and-end-of-the-month","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/an-electric-heater-of-1000w-is-working-daily-for-5hrs-in-t\/","title":{"rendered":"An electric heater of 1000\u00a0W is working daily for 5\u00a0hrs in the month of September and the rate of 1\u00a0unit of electricity is \u20b9\u00a06.00, then the total cost and end of the month is \u20b9[[1]]."},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"An electric heater of 1000\u00a0W is working daily for 5\u00a0hrs in the month of September and the rate of 1\u00a0unit of electricity is \u20b9\u00a06.00, then the total cost and end of the month is \u20b9[[1]].","custom_permalink":"question\/physics\/an-electric-heater-of-1000w-is-working-daily-for-5hrs-in-t\/"},"categories":[],"acf":{"question":"

An electric heater of <\/span>1000<\/mn> <\/mi>W<\/mi><\/math> is working daily for <\/span>5<\/mn> <\/mi>h<\/mi>rs<\/mi><\/math> in the month of September and the rate of <\/span>1<\/mn> <\/mi>unit<\/mi><\/math> of electricity is <\/span>\u20b9 <\/mi>6<\/mn>.<\/mo>00<\/mn><\/math>, then the total cost and end of the month is \u20b9[[1]].<\/span><\/p>

<\/p>

<\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:115%;font-size:12pt\"><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:115%;font-size:12pt\">","options":null,"solution":"If an electric heater is rated <\/span>1000<\/mn> <\/mi>W<\/mi><\/math> is operated for <\/span>5<\/mn> <\/mi>h<\/mi>ours<\/mi><\/math> and cost of <\/span>1<\/mn> <\/mi>unit<\/mi><\/math> is <\/span>\u20b9<\/mi> <\/mi>6<\/mn><\/math>, then the cost of energy is \u20b9 <\/span>900<\/mn><\/math>. <\/span>
It is given that the rating of the heater is <\/span>1000<\/mn> <\/mi>W<\/mi><\/math> and is operated for the time, <\/span>
       <\/span>t<\/mi>=<\/mo>5<\/mn> <\/mi>h<\/mi>r<\/mi><\/math>
It is known that the energy consumption <\/span>(<\/mo>E<\/mi>)<\/mo><\/math> is equal to <\/span>
     <\/span>E<\/mi>=<\/mo>P<\/mi>\u00d7<\/mo>t<\/mi><\/math>
Where <\/span>P<\/mi>,<\/mo> <\/mi>t<\/mi><\/math> is the power and the time respectively.<\/span>
On substituting the given values, we get<\/span>
    <\/span>E<\/mi>=<\/mo>1000<\/mn>\u00d7<\/mo>5<\/mn>\u00d7<\/mo>30<\/mn><\/math>
\u21d2<\/mo>E<\/mi>=<\/mo>150000<\/mn> <\/mi>W<\/mi>h<\/mi><\/math>
\u21d2<\/mo>E<\/mi>=<\/mo>150<\/mn> <\/mi>kW<\/mi>h<\/mi><\/math>
Since, <\/span>1<\/mn> <\/mi>unit<\/mi><\/math> is <\/span>1<\/mn> <\/mi>kW<\/mi>h<\/mi><\/math> and therefore energy consumed is equal to<\/span>
    <\/span>E<\/mi>=<\/mo>150<\/mn> <\/mi>units<\/mi><\/math>
Hence, the energy consumed by heater is <\/span>150<\/mn> <\/mi>unit<\/mi><\/math>s.<\/span>
The energy consumed by heater is <\/span>150<\/mn> <\/mi>unit<\/mi><\/math> and hence the cost of energy <\/span>(<\/mo>C<\/mi>)<\/mo><\/math> is equal to<\/span>
   <\/span>C<\/mi>=<\/mo>150<\/mn>\u00d7<\/mo>6<\/mn>=<\/mo>\u20b9 <\/mi>900<\/mn><\/math>
Therefore, the cost of energy is <\/span>\u20b9<\/mi> <\/mi>900<\/mn><\/math>.<\/span>
 <\/span>","subject":""},"yoast_head":"\nAn electric heater of 1000\u00a0W is working daily for 5\u00a0hrs in the month of September and the rate of 1\u00a0unit of electricity is \u20b9\u00a06.00, then the total cost and end of the month is \u20b9[[1]]. - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"An electric heater of 1000\u00a0W is working daily for 5\u00a0hrs in the month of September and the rate of 1\u00a0unit of electricity is \u20b9\u00a06.00, then the total cost and end of the month is \u20b9[[1]].\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/question\/physics\/an-electric-heater-of-1000w-is-working-daily-for-5hrs-in-t\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"An electric heater of 1000\u00a0W is working daily for 5\u00a0hrs in the month of September and the rate of 1\u00a0unit of electricity is \u20b9\u00a06.00, then the total cost and end of the month is \u20b9[[1]]. - 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