Physics
Grade-9
Easy
Question
The equivalent overall resistance is smaller than the smallest parallel resistor in a parallel connection. This statement is ____.
- True
- False
- Maybe
- Cannot say
Hint:
The overall equivalent resistance of parallel combination is:
= ![fraction numerator 1 over denominator R 1 end fraction plus fraction numerator 1 over denominator R 2 end fraction........... plus fraction numerator 1 over denominator R n end fraction](data:image/png;base64,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)
The correct answer is: True
- Yes, the equivalent overall resistance is smaller than the smallest resistor connected in parallel. This is because, the overall equivalent resistance of parallel combination is:
=
When the inverse of a resistance value is taken, the value obtained is lesser than the original value. Thus, the sum of inverse values will only provide a lesser value than the initial resistances.
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Some homes are still heated by hot water boiler furnaces. The components of the system are an oil tank, a furnace, water pipes and radiators. The furnace burns the oil from the storage tank. The heat released is used to heat water which is then pumped to radiators throughout the house. A diagram is shown below.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANsAAACCCAYAAADPAr1/AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AADanSURBVHhe7X0HWFZXtnae+9/7z52Ze2fmn3Kn3mQydsEWjb2A4qSZYmLsPUZFRRQQRFAUUECl995BiohYsGJX7C0ae0sU7GCNAr7/evfHkU8CahCZGM6bLM8+++x2+NZ71tprn+/br0GHDh11Ap1sOnTUEV5Jsl27dB6FN+6Wn+nQ8WrgGWS7jSj7AWhpagoTk+bo+LkTLnxXfulfgIe3zsDT8kO0bd8J7Tu8g+Dc4+VXno5ze5bCNygLOj11/CvxDLJdweROf8If2vRF7KJFyFqdj6uF57Bx/QZcuifKX3QWeWu34dqD+zh9ZB/yt25EYnQM8g+dwMH9e7B3+zoELPTGqn0XVGt3C75Garg3XOd5Y/XesyoPpTewKjkIrh5ByD99U2UdXp8G9zlzkZ53CKUqx4ADGY74xWu/gmv2fuzfth5bd+3Extw1OF5wR10/tXsLdnx1Abevn0CCvwe8QtJw7NwxuA99G//3503hnpGH+2VAybXjiPWbC8/gFJwteiRjKJaxbsf+PXkI8vbDuoMXcOHQOvgs9MfGI4WqbR06XhTPJJut2Zto8o4Vtu7fj1OXbuLs+jCYvN4QqSeB6zt98PffdcLay+fhP7YH/usXf0C798YgLSECvZr/Dxq06YJWjf6M3zb5CLtvlCAvxB79h47E4D4d8OcGvbH50g2kO/fD/zZogT4ffoJZkbnYlO6JVs3aYNDQT9FY8j2WfFU+FuBMnh/+9G+vocsIF+w8fUNyLmKoye/x3swcYb6kOzbFUJdAOA7qguYdLDByojMyV6ZiRLc38bP//CPesfTClXMHMKVPa7R/dwA+6tQMnUZ44ezpfejb7Ld4o+XbeKvp6/j9643Qxbwnmv/99/hrh6E4UGzoX4eOF8EzyHYVMz5ohv/zs//GX/76V1hYR2BfbgSa/Pl/kSJku7lrAf78izbILTiLeX1N8Jd2X+Kbh1LtUCL++utfY1rqEVzbGY3Xf/Ub+G+/i7tXT2JtbjYCnEbif/7f6/BNTkfvpn/ECL9tqreHdy/B3uIv+E2rzxCdEISOv/tPdPoyGGxSoewO1sfNRPvXf46f/e4f8F66B5mufcTyjsKG3CiYCkmitu+Do0UD/KXNx8jYfEpVW+c/DP/bcAAKJH1xnSd+/9ovMXpeBBaO74HX/tQNS9euQu83/gODA/agaH8U/ufffw3nnBM4uXQOfvf7N5FyoES1o0PHi+CZls2m+xto1W8Wzt+4gaLb93B2TQDe/MNfsOgMcGOzG37/y3ZYU3gWbp+0RafBCyFeGrAvFq//rQHC82WWdGIJWvztTwjechqhE95Fm56D4Gz3BV7/a0N4h8ei45u/h2XUftUbcA2WHX6DP77dF17ePvDy9MaSTUcMbeIRSgwJ4N5pjDD9N/zp3Rk4vm8Vuv3jD2jVsTWad7MEnb7vLuyE69gP8NdfvQ7P3ANYFThKrGd/de3UUkf86rXfYoTzPHgv8IJfbA5OHFiHnv/4b8xYIdby3CI0+G1jxH51H9c3+uL11xsjed991a0OHS+CZ5DtMsa2/BUafuIKTd1ufSXk+fVrMLEYgI87vYHX/s0UqwvPwMmiIZq87wIVP9kdjl/94jdYkHcDpYeT8bf/+iV81+2GZbs/ovG747HAaTh+/n9+A99Ve+DyUVP88m9vY9SwQZgZkI4op3747Rud4BuThGA/PyzfeU71S7Llp7qhzweDYWc3AQ1+/XO855iGspL7mPNpI7z22msYGrBFil1EsJsrggNmo8HP/gPjYjdLPQf8/LWfod/MaJzbtQRmr/8GFhO9kJIQhuDkVfjm6Fa0k3uamHYRj07E4rev/Q6Bu4tQuNod//Xff0Tsnn9hVEjHTwbPINs9rI71Q0TWtgpXDnewJtoNQwYPgUdQDCLCE3H6djG2pEcgKnObIaBReBD+Pv7YxdDl1aMI9fHG3ksPcWZzEsaOGg4757nwDQyXvBLcPrUZ078civ6DRiBhw3GU3ruEaDdrDBowACPHOWDNwUuqV+Lq8U2YNWE4Pv98AKZ6xOJc8SOVv1XcxH//5ZtIPchAyW0sCXDC0MFDYe0aibO3xfu8egRzJ43AYCsfFN0vxbFNMo7hgzFwyHC4x67FjeuFSArwwNrjUvjmVwiYH4B9BQ9w79wO+PoG43ChZlJ16Kg5nkG2VwBlN+H2cRP8rt1oXHhQnqdDx48Qrz7ZSm9iVVoslm55vjU3HTr+VXj1yaZDxysCnWw6dNQRdLLp0FFH0MmmQ0cdQSebDh11BJ1sOnTUEXSy6dBRR9DJpkNHHUEnmw4ddQSdbDp01BF0sunQUUfQyaZDRx1BJ9tLwKNHj1BWVv6V1/I0hemrV6/i1q1bKl1SUvENcK1MZdFQWlr6+Jx1KVraGDwvLCzEvXv31Pl3332H+/fvP66jldfa0/J4zqNx38ZldLw4dLK9BGjK+eDBgydIQiQlJWHTpk3lZ1Ck0BS9stLz2sWLF3Hs2DGVz/P9+/cr8hAkkjFY7/bt24iNjcWhQ4dU3unTp7Fz506VfvjQ8K1EjotgH2yj8ni1sfA6HwjadR0vBp1szwFN2TQlrEoq49KlS4pYixcvxoYNG7Bjxw5s3boVfn5+cHZ2RkJCAq5du4a1a9ciMzMTe/fuxe7du3Hq1Cls2bIFy5Ytw7p16xRxJk2apEhE4vTr10+RJzc3F0FBQdi3b5/q7/Lly4iLi8OqVavg5eUFFxcXZGdn48CBA6qPJUuWIDg4WJUJCQnBwYMHsXLlSgQGBqq+aA1TU1PVWHh+7tw5bN68GWfOnFHt63hx6GR7DlRFpqpgXC4+Ph729vaYPXs2li9fjtGjRyM9PV2RLCUlBT4+Pli/fr0ih6WlpTrPyMhQpCMp5s+fj6VLlypCkBy0MnRB58yZo8gTEBCgiDZ37lzVX3R0tKp/584dLFiwQPXl7++v8iMjI+Hq6qrasrGxUUeSnqQksVjew8NDtc3xent7Izw8XBGRDw0dtQOdbNWCxDFIqSj6lau3UXDl+1IocqnwFoqK7z1BNloQd3d3RQi6fuPHj1eWjpaKlokWj0ShQs+cORNhYWGKVLweGhqqLA/zk5OTERERody5u3fvqjZp8Uik7du3K1KyX5JKs5Zs86uvvkJiYqKyfmyb5KS1IrFoPUk09nfy5ElVhmTU2rxy5QrGjBmj7kFH7UEnW7UQ4pTxF1XKcPt+CcZOzkSv/jF4b1gC3jeS94bGo2ffaIREb5WyLG8gaGFhgSIXLde2bdtw+PBh5ZbRmlHpSSYqdlpamirHPLpwJBbL000kIenG8XpBQYGybrRYdDdJOFqfEydOSH9QBImKikJOTo6qz/J79uxR7ivJzTxaRrqoLMtjfn6+ch/p3tJFZT+0wnRZSXRaWR21B51s1aKCbLfuluC9T2Pxxtu+aNIt6Alp3C0Ar7f2htv81VLWQLZHUo/WhsKggxZk0ISk4ZHgNeNzDazHfAqDFixnHLwgtCPLaGAQhPlaWWMwjzDOZ57Wv5ZPgnL+pl3TUTvQyVYtRPE0yyZk+2RgIpp0DULLnmFPSIteoWjc0R8ePutUWdYrK62I4GmKzKOxUhvnGSs8jxqM07ymEU6Ddl2rSxiX0fII4zJaP9qR5VlPQ1FR0eNzrQ8dLw6dbNXCiGz3hGyDEtFUyNaqV7hIxGNp2SsMTToGPEE2KvH58+eUa/hDwbq7du1SLhyt1Pnz51U7XJvTCHDz5k0VfaT1Y5rhewZGmCY5uETAOixPd5KuItvlke1UBq9Rzp49W6Mx63g+6GSrFtWRrYJoBrKFVyKbAVlZWWrORRQXV2wWwPkQQYJoC88EyUJycF7FKObRo0cVMTiPsrKyUm4dwYAGI5ech3FJwdraWs3NGKFkwIUE5DxQC64w4MK5IcG5GclLS6aRjiTTLCGjpIxoEtp1XuPYdLw4dLJVi+cjWwuRRh2DMM9nvSqrYUn2EqW8JNy8efNUGJ9pLgmQHAsXLlRrYAStGM8ZRWQAZMiQITh+vOKn+WJiYh6vpzEayTU01mXQY8aMGSr4Qovk6emJb775Rh1p0XiNywgMmhArVqxQddgeQ/0kKMfE6OTq1atVFJSkZnCGUUsuCzBiySCPsZupo2bQyVYtfgjZgoVseaqsBio2w+kMq9NakQCMHlJ5aZVohRgRJEg0Eo7rXyQmQ/CaBSSRGLanBSK4wM16bm5uKoLIcrRm169fVxaPriCJxHwShm+S0H0kuDxAi8eHANfPmGZ/JDYjmRwr69jZ2alzRkbZN8vTCmtj0FEz6GSrFi9GNloTkobKSreOFoaKP336dGU56N5pC9KLFi1Syk0i0m2k0vOVLLpwXCNjdJDntEpsk9aIxOK8TQMJTaKQdFywJrFJFmNw3UxbcyOBaOGY5thIOh45Bj4kOA66rHl5eZgyZQq+/fbb8lZ01BQ62apFzclGC0C3ji4dLRPJxnccSTa6blRiWj6+88iynNORnHxnkmnO12itSDCux9GqcA5Fi3jhwgW1HsdFa9bVooWcAx45ckSds332SVdSA91AWkMusNONZRvsi+t4JC/X7mjhOOavv/5avepFy8kxkeTG71DqqBl0slWLmpOtrLTCwj0LWnBCg6bQJI1GpOqUnATSymiofK6BJOIbJsbBmh9CHo6zurZ1PB90slWLmpPtUfl/z4PKCv8sAvwQghijqno/pK2a9qujAjrZqoUo1wuQTYeOytDJVi10sumoXehkqxY62XTULnSyVQudbDpqFzrZqoVONh21C51s1UInm47ahU62aqGTTUftQidbtdDJpqN2oZOtWuhk01G70MlWLXSy6ahd6GSrFjrZdNQudLJVC51sOmoXOtmqhU42HbULnWzVQiebjtqFTrZqoZNNR+1CJ1u10Mmmo3ahk61a6GTTUbvQyVYtdLLpqF3oZKsWOtl01C50slULnWw6ahc62aqFTjYdtQudbNVCJ5uO2oVOtmqhk01H7UInW7XQyaajdqGTrVroZNNRu9DJVi10sumoXehkqxY62XTULnSyVYuqyBZYDdm4GaJONh1PR70k2yPuEFNSikclQo6yh5JxT+jBTeclz0ikkJQuw507D4VsoWjSNRgtK5HNtGckGnfyhadPrqFxKV+5HU1AkTYfPeLuMw9E9N086xPqJdnKHnGvsedX9IfCkY+GhKBxtyghW9QTZGvRMxYNOwbCK3BVeennw8OSEpTqWzDVK9RDstHJK8XJ8wUIi89DSNw2hCZsRXjCFhEeDRImEpq4BRFJW+AfvQXdP4lAkx4xQrbISmSLRuPuERg0IRXhSVJPyhvae1IM7W2Df0weVuQdxH0aOd3dfC5wuypj0cB05T3jtOvG5auTuka9nbOt23IMJl1cxQUMRPMu/mjSLUAsV1CFdA1C807BMOkcgOZd/WRuFgLTXmHfcyN5bmoRBlOzQCnrJxKIZp2Dn2xLpKnkNe8Uhr+38cAkxxR8p+Z3uhv5LJAUVW3CaJzP/cG5yyp3Z9VIZFxHS1fXVl2hXlo2Im/bCbQw80WT7gkwMY+GSc9wNO8Z8Vh43tIsFC3Nw9HCnKQKR6ueYUIwORoTTsoxv4XUMTWPLC8f9kRbFFOzcJFoNOgYAGvnbJSoD/15yFbpCcxTlaUlniWvNjSCULjVMDfm5/7hGkiw+Ph4tVUxty/m9Zs3b6pru3btwqlTp1T6xo0bj4nG7ZMpdY16S7YN246jtflCNDeLFaslhLEIFvI8Ka0tGH1kUIQkI7GMSPaYbBFoLUILp8pZBIkY6lWWFiINOwVgyqwlKFVP4CfJwLNSOpfUiVJRstLvJGEI0uB7c0yWZsGnida+UV/MfoWgWaoNGzaojf0PHDiA6OhorFq1Su0rzg34ra2tkZycjDVr1qj9wAMDA5Gfn4+pU6eqDfuZ9vX1xbJly9T+4F5eXmrP87pGvXUjN2w9ibfMfWBixnkYiVPJYil5cn72YiJWT/po1DFUka2kCq030EfmE3LpUWmJpMpwXziWsfwAMpftQdGteyi6XYzrt4pxo/ieyP2nyD1cL5cbxXdx/eYd3Ln7AGXlyvuqITIyUlmws2fPYv78+bCxsVHHw4cPIyYmBqGhoQgJCVEb9NvZ2SmSRUVFYcWKFYp8rMcyM2fOVAR9+PBhect1B51sTyVbbcqzyUYYqGCg3YWCq7CbmYEmHX3Ru38YrKfHYopdPKxtMjBpWqpIkkhytTLRPgETHKJgZZcIywmhSMvYUt7+q4ekpCSsW7cO4eHhijyzZ89GcHAwcnJyFOlIRh8fH2W1eCQxmZeZmaksIi0jy3t7e2PJkiXlrdYtdLL9GMnGf8S83bh1B0FReehg4Qsnz9U4fu4ajpwowKGvRU5cxqGThSJyPKWlRVTakHfgVAEOihw+eVXqXMQ3BZfFO637ucqLgG4k5ciRI8r1oyVLTEzE5s2bcfnyZcTGxirC0aU8ePCgchNTU1NV+UOHDiE3N1fN22jlaPVOnjyJY8eOlbdet6gR2ZQu1JI8hlGmUfKl4cdKtqrw1bFL2H/gNL5Tk/oHIs//lyktfYDvHt4pP3vZf9WXA23eVpt4GW0+C88gmwyITxZDSkAFKVP/coKv5b+IPAZPpOFHZVwF4/scDBYw+3slawU/JrLxHvnhH5Kn9pVrV7Fnz15cvXwVhw/ux4EDe5GXtwZnz5zGNFt7rMpdjTOnz2Bp9lKcleOunTuxacNGlJaU4vSp01ieswznzpzFqpW52Ld3HxLiEjDbZTaOHj2Ki98W4ML5b5QVyMvLw/bt27F27VqkpaWpOU1dKCAjgqWlpSgpKVHCtEEkX+7BkGb+QyUlJQ9EmGadinoGkbKV8h4+MOQ/Pn8ox4csV/Y4z5Bf3if7Km/n8Tn7fnzOI8sbxsDx1/Tv9GzLxobVjJ3qb9zJy/xgGBpggIC0M9CttvGjIlv5h5ezdCni4uJgb2+vJv2cp+zatRuTJ09W5/M85mFJ9hI1L5nh5KTmKg4ODli+fLn6G9FV4jW24STXZ8+ZLeeeao6Tnp6uCLZy5Up4enqq66w3Y8YMNaeJiIhQY3jZoLLSzXNxcZGxzVf3sHDhAoMsmI8FIvPne8o5871EPLBgoafkMb1QxEfEW6WZt0DlVUhFe0Z5qt0n81Q/Iup8AdvzVmUMfYuoawtUHsdJcXZ2Vn+/muKpZDPwTJSijCHoR7h754582HmY752Ihb7J8ParoUhdVd83Cb5+sXLTkfBaECXXYpGZvRrFRcWqP8j8goSjhatt/BjJduHCBQwfPlwRa/z48YoMTJMQjK4tWrRIBQkYbaM1YprEKSwsVPVZlnkkF5WIQYGsrCxkZ2eruUtGRoaa78ybN08RkvMXRugYTmcdPrlfNrhWxjA851qrctfK2HKQsigFKalJckxE5uI0ZC9dgtRFaZK3SCQV6RlpWJqThbT0RUhOSUdycjoWyf0zLyNTyqVIuZQ0yVuEpcuYx3OWTZN2UqW9xcjMypBzQ15KaorocQaWSD8pqWmSl6H6WbyEeYulTrKcy3hEMjIzsWzZSqxevVZFMV/kofRUsjFMXComnIr/zfkCjJ3khcbtp+DNtrPQoN1M/IPy9vNLw7Yz0Uik4Vsz0UDaaNJuBhqaDMHf/jEQjVpMRpO2tmj69kSMHOOGUyfPqzHQoawvZLt7965SfgYBuJbENSNG1UiOTZs3q3Wi9PQMdQwPj1AkIZGuXbum6q9fv14FCRgc8PPzw9atW5X7yCjcTnE3afUoDChwTYrkXr5ihSIdQ+R1QbYHDx6oEP1SGcPuvfsx13MhBgwagS/HWWHEqLGYYDUZHvO9MWjIFxgzdipGf2GFUV+Mh5dYuuEjR+GLMZNFpmLYiLFY4OONkV+MxhdfWuFLKTtk6GgxBAvwxdixUm+S5Nlg4ODhcJvnhql20+RBNh5jvpyq8pxcnDHD2UXamYAx0t6QYaNg6zANc9znSTtjpO/JGC59fDl+ElauXo99+w+qBxU/j5ri6WSjVXtUiqKbN/ClpRv+/pYdmvPNil5RaCHKU51Ud711z0i0EWltLsde0TDt5isEnII2ZvMlPxotesbDxDwC/2hjj2GjXHHzepGMgi6lQRlrE5XJRiJ8nyDMe1K0spoY8o3fLNHyKrfFv4Ex2YwUW8hWJvMD9eeWfzhHMMwNynD/3j3culUsDz3ORx7gzp3b6vo1mdvdu3dX5hIPyucSMk+ReYVh/egRiouLlDD/7t07Mk95iNu3binvRM1BpC3mGeZDnMcwLVMFRfxaFrbJpODBdw8QGhKKLJlzbt+1Cw5Os2EzzRX+galCskiMm2gDq6lOsJ5qyPMR72espT2sbOwwYbIt/AKS4Oe/SNJOmGw7DaPHTYRvQAJ8/VNgNcUZNg7T5WFtKZ5TnNRfJCSbhck2thg/yRZzPcLh458MhxlusLSyxviJtnCdy7wUzHJdKGWsMWmKAxydFko/Mh7PCIweOwUZ2cuwe/9+JCTEC9niDDdCqHsqv8enigFPn7OVGQqGx2SgUZvJMDWPRquesWhjHi7ECRXlCYWJRZgc+c5gqHptqU3PCCFPJFrxFScS00ham4kSyrGVEO4tM380Fktm0n0+WvemAvONeiGgSAuRxq2d5IYzVP9KC2sZT5ItXN2LGoOF3JOMzaQHXzLmuPgGCccvZLEIlvHxXchww/uQvHf15kmA/D34N4lCa9VOiKFOufB+Wd9UrjVpHwbbWdnyERgWVfm6UYm4VgZUfDA/DDWtVxm11U71KHl4z0C2rBwh2244znLHNCeZV4ZnYIFfgii7PaztHTDVwQOBYdnwD8rEJGtnTJ42DVZ2zqpcUHiWEG0OrKdPx9jJUxEQmoGAsBwhmrTl6CiGYTJ8gtMkbynsZ8wTMttjopDI0ycR/tLmDJcFmDTVBhOt7TFvYSz8QzPhKsSaMNUB1nb2mDXHT+pmwssnVry5aUK25dglVjghPkkkuvxOnudvxTIV5Z4ZICm4VIj3PrGHSWcfUZxYpUxtlGIZFNBUntiUlhZ8NzAUpj0CYdLVHy0kXfnprl5rkjqtJW3SyQ3N3rZFG1HuVkZfW6HlaNErBi06+6PXe3bi6nz7UnSgMtmUNTIXspn54rMxCej3RRZadI+Wcxkby4i0EItsah4jdcRy95RzscYmPeS6ufxdRFRZeSCpv4vcv6FduS9137T24WjSIQxWM3JQUHQX2blHMXl6Ao4cv4yi4ju4VnQDV4pv42rx3Z+c8L5uyD1eLLwqVscP2TmZ2LF7JxxnumHaDE9R7izMl3n8JGshmpDNRsgWELoUfoEZmGTlDGshjJXtbEWCwNDFYq1INkeMs7JFQEimlCXZ5sF+urO4flPgE5gmxMqRtj1gYzdd2p0OD+8k+IfkwGnWQkyeaodJk6cL2WLgJ2Sd4xEthHTEFDsHzJrtL+WyhGzxQjZ7g2XbtxfxiSkICY+Wz4r3dEvuqViO9yrdZ8XxWvF9fMfvTJbjmWTLWpKLZm3t0NI8TpSH7pKfkEaOomgtxcq1FAVt2iMETboHoEOfaPQeFI/PJyShy8eiXLRk5SRSyixKx3ptegWhUTsHtO42V4jHNit9bUWkjVjOpm9ZIzpuWflIaheVyUbXtmW3cLzzeTiCE3bj02GhaN3dX6y4HM3l2NMHb/cWyy1WrMO7MmbzYLS1CEHH92PlARMupPNF+w+C8dY/eS0I7d8V69YjWD1gDPdFiy0Pme6RGGiZhqnOKWjRZR6ad52PMVZZ4u4swRSbDFhNW4RJ9qk/KZlonwxLh1hJLxI3MVrmR05YkbseO3blw9F5jrh1XqLES+HtK/c+aTqsbexha+8hedkICE7HxImOkucg7uUcBIcvlvwMOZ8tVkjINtEOwUK2YLFYNvZzMc1+JsbK/M0vKFUs4BLYOwrZpjoKYacLeRIkLxszXXxgZWWHiZPE2nlHC4HT4e4RJa6pWDaxbi4uQQgS8i70TcQ4SzsszlqKPQfykZSWhH4DpknfmZhouwyW08Tq2qc8ca98s8fKLkUscQoGjo7HstUVC+jPJNtkWy807uCB5r1INlqhIPWEbiFP+JbKXQxEnxGJMPs0HOZ9IzHUKh0eYevRZ3gimnU3tm7iegmxWpvHixLPF3dqKtqaBSrXq6KMoVwrumJiKRu0dYfllGA8eFj7bz18b84mpGjWNRgjpyxG5qpjcJizGMMmpODzMWmwnJGB+VHbMWV2LtyDNsEnJh8THZfivYEhmBuyBaOnJWPwpFi4h2zGkEmJmOC0GJ6hGzF88lKxjkHSNt1Uw5ytaacwTHDMwVenCuETvgWfjw5F3tazOH7yCo6cuIjDJwpFrohc/smI4W2Xizh68jL2HT4viu2jooa7xbI5O7vg8wEjZP7kgFGjbTBqxHhMF1ew34CRGDdhBsaOs8WQQSMww8kZ/QeMlfmbg5S1wYCBI4U0bug/UOqOt5f86ej3+UjMcnbF4MGj8MU4G4yd4IDP+4+EwzQnjB9njRFfWEvedPTvPwrWk2yEgLaSN1HybDFoqKX0NxnTHWZg2JCJQrIZGDHaSgVdGBXeu283EpKSMN87DMfl8/lK3VOB3N+Tn9UhXjtZiBPyeTp75iAqaXO5xj2DbEVFRfjwsxlo1NkbzXobomlUShMhAt0ik66++GJaFtwDt2Cu/2ZMcsjCNJclmBewAu8PjX+CbKzL+V0b8wS06DQbzTvZoK3M/ei6fZ9s/O5YJJp3i0SvPs745pIWmawdITZsEbKZVVg2zsOaiSX6cISQJnAt7FzSYe2YjTHW2ZgXtB4B8Vvx8ZBwLAzbhFGTIuHhnyfHeLm2Cn5xq+AfvQ09+/ji48H+iMrYjnnirti556qHEb9y04LzPHmING4fCtuZfDfPECA5e75ABSsMqP256Y8Nj3AfYWHBWJK1BDvzdyInZxnCI6MQFhWJsPAYLEpJx7LlWYiIikVYZDzCI6KRmJiA5SuXITomFSERcZIfgZi4OOSuXoX4hCSEh8ciVPKjouOwYvkKJCUmy3kMQiJjVf1lSxnFzVR5bDNMXMGszMXitS1BaKT0GxUl7cYgPTNNxrMUUREJUi5KykcgOSUFmzZtwq58IVtCMpKTtQDJsz+ryIStiE3eXn72DLIdOHwYnSxc0KSHWDMhWRtxH1srwglBZM5i2nUBAmK34b3PfDHeNgtB8dswa0GOUsD3hyZXIhsVLgpvST2TTtPQrPMsyec8xphodCENFoCBlJacE3WcIE+V/Wo8VRGnJkJs3HIKbcz8DGTjfYkb2aJbED4aFos5PhsxyioF3mKh5wdtlAdJLuYFrofFx4Fw812DfsPD4SmE9I/dBO+INSJr5QGzFjYzszD0yygExuXDwXM53hsUg1byt2ttLvcm8zgVjewQiqkqGmmIGj4GPzuKitxJ4qcm8j/x4P53CAkOFbLlYMeOXdi+Yyd27d6Dnbt2i8hx527J22FIPxaWY97e8nOWZbn88rSh3C4R5uVLGzzPf5y3Ezvyd6lzVW73Xuk7X/J2Gurv3m3Iy89X/bCOls+2tm7drsaVkJCA+PhYw43wo+M9Vb5Pfq6PDJ9taPQOxCbtlrQBTyXb2vUbxAo5oRnnLUK2t+QJzShkK072zWLRvLOfWIBcuPpuxixR0KlzckTJcjHLdxXeGZyI5pXJJuR6S1zPph2mwETmay0sDPOY75ONwRRxvXrGoUk7O+Su3FQ+ouqg0ehposGQ3pT/tfThIWTj3FNIQQtrHoLOfcLQRx4UHd8JwHj7LIyzzZHzCHw0Il7yQvDR8Fh07xOOD4fG4LMvYjDOYRk+HRULs75+sHFdh0+GJ+OjoQmY5LQWFv2S0ap7uIrQGr7zVvU6W32Cts6Wnb3UoMjbdrwSwgfC862zicdS/rZVqEw3YpP2GrIFTyVbVvZKNGw1Xdw/rpGFC9kYhSThhBBChJaiqB0sQmTCvwjvDo5B+39GoWffZPT8LBxvvxsmSlxBopZqiSBKrEkEGr89Ga3MPJWlq0w2/saHCliImJgnoWl7N4RHrcCtuyW4fucBrt/+vlx7DjEuf+fuQ6xYd1Qsjnc52RhRFXLT1TMLlYdEiNxbCJp18kOzjmHizgajeY8AuWdxndU1sc7dQtC8a5CagzXvJtd6hKifWDAVcpl0lWudAtBS0q3FOisrLfemLFs9Jxu/Ic03MfjVFyrxxk1bXgmhxeQbOnzZ4OmoIdlS03LwRjNHmMp8jSF/RTZFOCoOv+EsFkGU07S7v4iQq7vMx7rHiQixOB8zJlE52WjZmrS3lna8qiSbITJJsgXDpFei+umCfkM8ZJ6Tjikz0jDFcdH3xPo5xLi848wEjBhLSxaqwvecI3KdjWSilWvRQ0gn7p9p90C0NotXLjOvm8r4W5rzeoy4yAEwNRf3WtKMsBqE7jWtvtyruKQqwsk2hcS8T51sooqlpeotGb5y5uY+D3Nc3V8JcXVzx5QpU9Qrc09HDcmWkrpMyOaEFu+IQonyv2UmLpFyt+QJz9/UUE9sIZmmVMpVpNKKpegRKOUqwvoGhYsUyxYuZJsi16ojW5QiM8nWzCIWjbrMxWyPZBw/+S2OHPsGX339YnJE5Ji0FZOxE60sfMV68n604I/cQ/codHo3Cp+MSsWgCYvRrpfMG7tyDkmLJyLWrL1cf2dINPpPXISe4io260xiBsuDR6xcl0B0+yQaFgPkYSRkpHVvYUGi6W4kwVfTuJB/qaAABYWXUXj51RCOl++g3rt3T91D9agh2dIXr8IbLR3R/J+xQhbDRL+1uF18Q6SdxQKZjwghugaiaedQtOwRJWn+khR/1yMClg7ZePezeLlGAoqUk7FVz0A0ettRnv7zJC3tfo9sJJrMEUWa94xHo06zEJNY+2ttm3edlgfHgvIACa0bxxYu89AwDLbKgNXMXHgGb8JI60Xo8oG4mmKp+gyJxz8/j0bXPhEYZp2M2YF5Mm9bhG4fRuA9caPb9ApE90/jMGB8Omzd18g9iMVUb9qULy/oZKsHqCHZlq/cIHMmR7EwomwWhgVazl3+OTAOvnHb0f/LZPQdk4CB41LR5Z1AfDY6GaNsM2H+aTjcfFdjmGUieg9MFesRbHDXxLq1JtnaO4vlcxMFp8V8ckHbQD4D2fiuZOMODshYsrp8RLUBw1Npw7YT4hZzzkbCG8jWkpZYHhqWM1dikGUSguI2witoK+b4bcKX05IxN3A93Pw2w8oxFw4e2XBeuAKTZ2bA1XeFlNsMW9d0hKTuwQixeHZuq9H9kwR58PB1L8NDRSdbfUANyZafvxvtzYVsMi/jvIaBkabiHr4zKB4R6Xvw2choDJkYh8jUfbBxWgy/qG2Y7bMOzl6r4bYwBxGLdqL/+BQ07xao3jShsrWRdpp0mClW0EXIJy6cEdEodDVZzmAVooTsk7F9e8WAXxxPJ1sbmZNNmLVcyBaP+QEr0VXcynlBOxCfk48BI6IxdGw0QuL3YG7ACsz0WiLpTYhK3oxZbuvh7rsYc/1XoKPZAiFeLiz6y7330MlWv1BDshUUfIveHzqjSVc/ZWkYBGjaIxQ9+sbCxTcXA0dFY5ZXLgJjNotiboSzPO37jYiEZ8gWBIRvwqptJ/HhiFCYdBEXVFxLvknxlli3Zp1d0LizE1qVL5Q/STbO4/jtAL5nGYqOvWzBbybXHqonG1+kNu0aiXFO2RhtkwnfsE1CoDzM8V+PyS5L4BWyAe7+ebCbvQYzF6zA9HkrYOuyEvODN2KsdTqGWqbAwX0zzD6IxAyvPHR4P0rmtXwpWSdb/UENycYFupFj54uCeIsykmziRpqFoO0/g+C0IBfT3VfJU3+DuFlrYDNzNSY4ZKGPWL1pc/MwdfoyTJ2VjGkeeeKaCZGEOPwmQBshkml3NzToYK+Um66l8VdUHpNN+mvUYT4Gj/HG3bv8qk1toSqy0ZUtJ1u3cLw/PAbDrZej98fR6Cdzsu6fRKvo4sfD0/G+zNva9w5Gj09CRMIlHYZ3Bsbi0y9T0KlPDDp8kCjztxSMnLpY5qWBci9iMYXMJBvT3F5qqnM2StUCqI6fHjSylQrZtgnZ9hiyBc8gWxmCI9LQsJ2ren2KXx1pZc6XboPR+cNodPskHt37xsGsXxLeficK7UTa9I5A+/ej1XmrnkHo9GGc5DEdJsotZDOPF8X2RYN2tmjTzU/SbJcKyfU7Rv34OpghSvmPtvbw9EuRcTwt+lMzVH43UiO7ErGq7d4VgpnJvXYXAvYIVxFXk+5cEhBLJe4m1+MotNYmkmdiFiTnYXIMk7ryd7AgeSvaZBCGZGvcMRB2YjkflfEVLflQKr+BoMsrLSUl9+RzlTQtW2we4pLyqW4KzyAbcPTrY+jQywYm3biQnViumAyUiHvYQ5SrXLiuZqqE56KIclSLxaJ8BoXjmxTBQtZ4cUkjRekcYdJphlgwEoxuHJWcywOhaN4rHs26xaGt2RTs3negfCS1i6eRTVmhSuuEz5aKQA8JaLygr9o2j5W/XzgadA7ElNkv55sMOv71OHHmG8Qnb0TRnYeITMwXsu0qv/IcZCsr+w7OLj5o0tpFFChJfWHySaX6vlJWlWdQZq47idXqyTWoBWj4tpVYOl+0NY+Wo4FwLSwYKo9Dg7fmwcreG6Wld5Vlrm081bK9BGmtAkRBaNQtAp+Oy8Ki5fuxePlBpC879FgynkOMy1clVdWpLFXVM5aq6hhLVXWMpao6laWqesZSVZ3KUlU9Y6mqjrFUVaeyVFWvQuTzW37gsWSv+gpzZVpl2mUhhkyIxwDLdMQkVxiLp5JNW7s7eewk3v3AWqyRK1r21sL1P1RE2YRopvy2s7iJ/FmEZp1c1LuP7Xrye2Oc15BwsWja3hNd3xmPQ0ePq/751f7aRt2TjfcXhKbikr47OBHzfHLgsXAF3L1zH4vbc4hx+aqkqjqVpap6xlJVHWOpqo6xVFWnslRVz1iqqlNZqqpnLFXVMZaq6lSWquoZi7v3ysfiFbAaltPT0LanN76cmoSZXiuwa/+lco17Btn42x/aLxJs2LhJCDAJb7aZg6bcFqkLt0YqF0lzC9ynC7dNCkXjbvNFfCQdAdPO3mjYaiwamFrBpIMHTLp6o0EbV3TsYYtlq5erfsmzsvK3qGsTdUs2adssTh42EWjY2QfWLoxG6vgp4uS5S1i5ei/uc5OGSnimG2mMgwcPwd7JB30HO+OzIc74fJgLPh86C58Nm4VPhz+HjHARmamk73AX9JO8AUOn4eNPJ6Jv/6kYONwRDjP8sGuX4Ss1FajjAMnLEPUGDfffDsEUlyz1INNRv/DcZNPeBysruY/iG5dRdKMQt4quilxB8Q+Sq+ViSBcVX0fRreu4odLXxIoZvkip/frsy0Kdk01caX2drX7juchGomny0iFd8CfcXuRnnp8HOtl01DV+kBtJlIG/UMxfPayQmv7Huo/UZvLG8sM2jqgpdLLpqGv8YLIJG0REUYyElsjwU6o/XNSvLhvJy9+sz9D+hq3aGyT1g2zGXoKxp6J5EJpoMM6r7GUYX9NEK2Nc1vi68TUejcEpQ+UyxqLBuF515Xh8WhuEdl1rT0trZZnWrhFa/ovih5NNgR3XklSR9XJh6ODJ17X4QvRPm2z8jX3+3v+dO4btoyorkwYqPsUYWln+HPqWLVsel69OAZmvfl3ZCMZl2R5/+pw/s86NCbnXmgbjvrU0y3LfArZZmQgE237WTqL80R7uuX369OnyHEM9jejG0M75k+3cn5vnlcvUBDUk26sMwx+tvpGN+whwt07ujPPtt98qJaMyHT9+XCkUFb6goEBtIcWdYPgFz927d6t9A6jce/fuVfnazwKQANwU/uLFi+r4zTffqPLcaPDo0aOYNWuW2qyQ59xInhvLc2+CM2cML5XzZxGWLl2KESNGqE0L2c++fftUX9yvgMTgGFmf+xb4+/uretzngOkrV66o8XM/A36hk2XPnz+vxsk6vJ/i4mIl3H+bO9CQ2NqGiNxnmxvhz507Fzt27FDp1atXqzFTOAbu/KM9CHSy1Qj1k2y0bFQ47m7D3wBZvHgx3N3dMWfOHKWg3D7Xw8ND/agNt6Gi4pGcVEYSjLu3uLq6ql+YIriFLnfFYX3ulMOtlPj7iuyDSjphwgSlqG5ubqof1uc+2NwbTqtPErIcN/rgbjwsy3yOkVtK8Tc/uCkIt20i4QjufsNyJA774nZXJCDB7X35Y0K0wBw7++TDhePnPbEuNyKhRbW1tVVpKysrdWRZ7uzDbbfYFx8sfGiwDlHZmtYE9ZZs67cch0lnLzTsFIUm3cLRtGuISOjLk25h0k8I/rdNECbOyKxzsvGHdqhAtEBU3mnTpqndcUiYlJQUpWCOjo7KCjCPikcikZTcL45Wi7vkUBkJblnFzeBpwUhCuqi8xjZINhKFVmfixImqPZKUZCBohbgFFq0cic9r3BaLSk9SkEQkMNslqUhQliO4xxz7IsFoHWkRSTC2yTK0WLzGhwR/54S79tByk5T87ROW4XjYX3JysiI3XUyOjdafR/5tuFHk9evX1UOI0MlWQ5Bu2/acwkeD/fHewGj0GUKJfLkyOEokAr37hsDdNwcPyzctqSvQ1SIZSDYSgYpNglGpSBwqNhWRrhktHOdIVDwShvtUM48WheQj6I4xb+PGjaocrRQtmLYvHAlNYtDlo9WjW6j9DBwVl2QmgWk5aGm4sTy3saKV5f5trMN8PiA4No6ZYL8cNy2WpaWlap/jo5vHhwavk8h8kJBIHC8Jx7GRnLRybJ/nfLCwLMuQ8By79qBg33QvSWxCdyNrCFqVW/KkL7xyA5evFuHK1WIUXHu5Uih9XBW5fOUmbhTdwoPSEpTWwtPyecEAAucvdCf5S9cMNnCOQ/JxPsVtfvkk5+86Xrp0SZGTcztuGk+rwTTLMsDCulo7WrvM4/yNP4pDK8ojr3PvOM6RWIbzQLZF0FqRbCxLcL7I4AXbYZp1mOb8iWPT6rI/tkly0Fpx7sZ8ljW+P46b98X22S7r8JzC+RnnnLRkLMtz3i/7ZHn2xX74sNA2mqwN1Es3sqzsgTypuJ7HD55PrLqWUqH7A5SpLxnWDTQlp1XhU1o7J7S0cb7xk7xymopI5WZbVbVXlcul5WnlKSTG0+pWztf6JEh+kpJgHstWbovnxu1p5TRodQjtyDytnDa+2kK9tGwolT8gha4cPwy+7Vxp7fDliaFfbtSv0nUEKg+f2sYk0YTXNOG5pqSaELQAtATaOaGV18B6zGMfPGqorLBUYm0ctKRaO8bC6xSOmeSuPDYNPK9t0fqpbdRPsj0mGY8GqfwHr1oM/KheqqpTIfKPQbT+ma4jUGk5X6mJW8TQPKOFdCNJOs5xTp06pa6RCJz7cA5FN5LzHLqHXA7gvJBLCyzDQAdD/XTVOHdi0ILk5RxR/W2qAJWe8y66eVWhuno/VtRPssmsTW2AoI58AstT87nkWf9VVadCuGWy4fcptP4rnv4vG1RsBgqo/Nw/mxE7EofBDJKD4XLmkQQEAwScF3G+w8gehZaG8yKG1bVwOwMfDG4wfM9N8BmddHJyUnMpBjdYjgTkNYbXGdIngUhWjonLBZxPMTDBYAsJe+LECeUiMvTOflmW8ycGa5jPNjkuYwv3KqCekq3+gZaNAQVG71JTU1XkjmmGwKnUjNCRDCQUlZ9KzlA/I42MOvJntzVLQoIwWkgw9E4Sk0CMAJK4mrVifZajJWO0kqRjWwy1k4wkNonKiCAJxP4ZEaTlZDtskxFSCklKEmvRSVo7Y1f1VYBOtnoCzpNIHCotSUDXjyFuWiSShdFBWiUqOSOAVGhtTY6EoNXRwKUCWkdaJrqLtG5cJObamDHoNpKYXCDn2hatF+tpIOFIUAotKa9rYX7WpTXkQ4Dj4hhp3fhgYD4X31816GSrJyDZSCyuq1FZuVjLuRitCNe8uBhMxaalImj9SLJ169YpJeerVhrozvF1JhKUb4nwFS9aSobMjYMLJC6FVohWlIvKXF7QQJeRRGPftF5ch2OYnxaYDwYSVXNDOV72Q3eXlpAPi1cNOtnqCUgCRv6IGzduopjrVmWlKCwoVPmcv9FKEVpEkcEURk2ZNo4a8pxBD7qmXHcjmZhHkhm7dlo9orjI8J6iMdasWa1cRYJtaC9JsxxdTPbBhwTBsXE8XCej5WXbuhup40cJzdoY/3iSWn6oBH5dqrSMARytPIMQDIdzTaoMZQzyqHOxYOVlCKZJ3jIpw7ThGv/V6hBMP1RliAvnz+NWEQnO/gzQxkloaeM8DcyrKv/HDJ1s9QxKQZUYFJ8EqFsYCHLvvpBOpTgcsV4k6avFnR8MnWz1DVRoEg338AD3USDu4+mL13D+0g1cENGOlYX52rVzFyVdLpXLUbSyT7Slyl7HuUvX8O2lImQu241Z3itw4nyRkN4wLp1sOn5aUFbNsM4nsyzEp2zEFxMiMd42BZaPJfmposralcsT9TSpXEfybAz542ySMGlaGj4blow3W/rh44F+OHT4HAcmpKubn8T4V0EnW70DldkQMWR84dq12zj/7TWcKxCL9bwilqrK/KfJpZsGkfTFy0WIT92Jdz4LR9yi7bh64wZKxZUsMZor/hShk62eQaky/xExBBio4JqSP69wtqVJVderEg2GdEHhNZy+oL2GVSpk47uS5ac/Uehk06GjjqCTTYeOOgHw/wGy9lraBKlMQwAAAABJRU5ErkJggg==)
If all the heat from the combustion was used to heat the water, the system would be 100% efficient. However, some heat is lost in the furnace exhaust and some is lost from the pipes delivering the water to the radiators.
One litre of oil delivers 48 000 kJ of energy. 7 600 kJ are lost to the exhaust, and 900 kJ are lost in transporting the hot water to the radiators. Determine the efficiency of this heating system.
Some homes are still heated by hot water boiler furnaces. The components of the system are an oil tank, a furnace, water pipes and radiators. The furnace burns the oil from the storage tank. The heat released is used to heat water which is then pumped to radiators throughout the house. A diagram is shown below.
![](data:image/png;base64,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)
If all the heat from the combustion was used to heat the water, the system would be 100% efficient. However, some heat is lost in the furnace exhaust and some is lost from the pipes delivering the water to the radiators.
One litre of oil delivers 48 000 kJ of energy. 7 600 kJ are lost to the exhaust, and 900 kJ are lost in transporting the hot water to the radiators. Determine the efficiency of this heating system.
PhysicsGrade-9
Physics
A simple diagram of a Hydro-Electric System is shown below
![](data:image/png;base64,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)
why all the energy from the water flowing into the turbine is not transformed into electrical energy.
A simple diagram of a Hydro-Electric System is shown below
![](data:image/png;base64,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)
why all the energy from the water flowing into the turbine is not transformed into electrical energy.
PhysicsGrade-9
Physics
An electrician installs patio lights in a back yard. Which of the following will decrease the efficiency of the wiring system to the back yard?
1- Bury the extension cord very deep down underground.
2- Use a short extension cord.
3- Use a long extension cord.
4- Use compact fluorescent light bulbs
An electrician installs patio lights in a back yard. Which of the following will decrease the efficiency of the wiring system to the back yard?
1- Bury the extension cord very deep down underground.
2- Use a short extension cord.
3- Use a long extension cord.
4- Use compact fluorescent light bulbs
PhysicsGrade-9
Physics
20 joules of energy are transformed into light, how much energy is dissipated as heat out of 40J given in.
20 joules of energy are transformed into light, how much energy is dissipated as heat out of 40J given in.
PhysicsGrade-9
Physics
Which glows brighter?
Which glows brighter?
PhysicsGrade-9