Physics
General
Easy
Question
correct form of gravitational law is
The correct answer is: ![F with not stretchy rightwards arrow on top equals negative fraction numerator Gm subscript 1 straight m subscript 2 over denominator r squared end fraction straight r with rightwards arrow on top](data:image/png;base64,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)
Related Questions to study
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A satellite of the earth is revolving in a circular orbit with a uniform speed v. If the gravitational force suddennly disappears, the satellite will
A satellite of the earth is revolving in a circular orbit with a uniform speed v. If the gravitational force suddennly disappears, the satellite will
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Two sphere of mass
and
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and
are situated in air and the gravitational force between them is F. The space around the masses is now filled with liquid of specific gravity 3. The gravitational force will now be
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The atmosphere is held to the earth by
The atmosphere is held to the earth by
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The curves for P.E. (U) K.E. (EEK) of two particle system ae shown in figure, At what points. system will be bound.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAToAAAFSCAYAAABi5RNrAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAFr3SURBVHhe7d13kx3HdTbwRlrkTJAgIIKAmEUxkwpMSlRwWQ5/uFwuu8p/+2P4e7hsV9mWZcvlssslS3pFiRIlUaKYcwaIQAAEQOS8i/DOr4EDjdYLYNPdvffueQqNmTs7oafD08/p090z63yDkkgkEn2M2Re3iUQi0bdIokskEn2PJLpEItH3SKJLJBJ9jyS6RCLR90iiSyQSfY8kukQi0fdIokskEn2PJLpEItH3SKJLJBJ9jyS6RCLR90iiSyQSfY8kukQi0fdIokskEn2PJLpEItH3SKJLJBJ9jyS6RCLR90iiSyQSfY8kukQi0fdIokskEn2PJLpEItH3SKJLJBJ9jyS6RCLR90iiSyQSfY+u/oD1uXPnyuDgYDlz5kw5e/ZsEdVZs2aV+fPnl3nz5pU5c+ZcPDORSCQuj64lOtE6ffp02bdvXzl48GA5efJkGRoaKnPnzi3XX399WbNmTVmwYEGZPTtFaSKRuDK6luiouaNHj5Z33323bNu27RLZUXN33313ue2228qKFStS1SUSiauia+VQKLpdu3aVd955p7z22mvllVdeKW+88UbZvXt3JT3mbCKRSFwNXW33MVU/+eSTsmPHjqrqtm/fXj7++OOq9PTbJRKJxGjQlUSHxCi2I0eO1D46qk5Acohv//791ZQ9fvx4NXETiUTiSug6omOOnjhxohw4cKASm7B3795KcI7ZfvTRR7+n7hKJROJK6EqiO3bsWCU3JisyCwV36NChumXGvvfee5XsHOtSf0oikegSdB3RGTeHzJDYBx98UB0PyIyZeurUqWrO+htv7IcfflhJMJ0SiUTiSugaogtVhtB27txZXn/99fLiiy/Wvjne1+iLQ4RU3ubNm6uyY8pyWkAqu0QiMRK6gugQFCLjhNDnRsW9//77dVhJEJkZEUC9UXzIEAn6O3J0jr8l2SUSieHoGkWHpMLTyhzVR8fjisQQYBCYrfMOHz5cz0N0tsPPSyQSiUDXKDpEh6zC4YDIOCWGkxfl1yY7ZEgB2qfqkugSicRwdI2iQ1IIjkKzRXpBWiORl/Pb3lmqTl9eEl0ikRiOrlF0FJrxcVu2bKkKDdFdCZQdonMuxwTCS6JLJBIjoSuILsxWw0aQ1liILjywtgYau1cikUi0Me1Eh5gMGeFt5UWl6pivFN6VgOgQmz46puuePXuqI8N1qeoSiUQb00p0CAnRMTkRHVVGzZnqZXDwlYDokJpzDTVBdPr2qDzEmWSXSCQC0050SIkyi2El4YhAgMbOXSmEyes6ys6W9/VqJJlIJGYWpnXhTYTETKXIrDP3ox/9qLz99tuVvBCZRTWpvRgMDI4tXLiwLqVO1fmbYw899FB59NFHy5133lluvvnmsn79+lx9OJFIVEwr0TFXw9Nq7uqbb75ZvaeiZCVhRMU0pfZijNzAwEC59tpry7Jlyy6Zr1Thpz71qbrq8K233lpuv/32Sna5+nAikYBpJTr9aYhu69at1aGgf44Z67sQvgeByMxn1XeH0Pym5m666ab63QhERhW6ZunSpeW6664rGzZsKJ/+9KfrOUl0iUQCppXokBfTVf+avrkgM2YpskNgr776alV8+t7MkkBo9913X1Vvixcvruc7L0zalStXVsJDhGm6JhIJmFai0+/GJI0+OGQlICi/EeDPf/7zSnYIkYnqgzhf+cpXyuc+97lqwjJl43qk53pEyfTVz5dIJBLTKnkQGqKizJYvX17V2qJFi6rZ6tiSJUvqPnUXBGiLxOLvcb0+O/ew71iSXCKRCHSFbUdUUmNtcRlqj7kaf4vQVoIB5wiQJJdIJNqYVqJDSAKlJkyEoNr3uNJ9glSHE2sikehfTLuiC2KaCMkFxnKfUIeJRKL/MePckpNJrIlEojfQ90RHtZldYeCxMXlvvfVW9eLaGsPHk5tIJPobM4LozMCwBNQLL7xQfvKTn5Qf/OAH5amnnqqEZ3wecHCkKZtI9CdmhOnKOxuro/iE4muvvVZeeeWVOuWMyjNez6BjHt5uAuLlNEHCMU7QsQiJRGJ0mFF9dMjBggHWvUN4iO6ll16qH8O28kk3mrEIjuktiF9beSbZJRKjw4wgOgOITQ274YYb6hZhWDEFyX3/+98vTz/9dCU/U9C6CYiMGkXOQixg0CtmtjhGSCSmE31PdLyrZlKYNWGFExP+N27cWK655ppqqvp27Msvv1xXT9GPx2kRA4+7DekpTiTGhzl/2+DifleBCqBiPvzww9/7HoSJ+8gKaZkCZkrY1YAgnEfZCaaZCZ5hWSiqyVQzv003M5/Wed0AcTcQ2vxdcYrpcI53O/FFHLs9non+x4xQdMgBsa1ataps2rSp3HPPPTVYyglZIlRLRVF3lJ3lopiJloBCrtMFcY+5vQKyC5JLJBKjx4zoowtFRA1a8QTBWeZJsECnBQGYrL4mxkEhWBrKMWQ3nX1M4o6o2wsbpEpKJMaGGeV1BeYf05Rjgqr75je/Wde30y+H6H7961+XH/7wh+WXv/xlHVCM6JJUEonexozooxuOUEf65TgpkJzhJcbaWbb90KFD1bvJ3A2TMczG3kCjQM8bc3e2nBs6XYZOnyqDjSkuDYWTp06XU6cHy+lme7rZDg6eqsNXTtXfzf6pE+UU033wTDndWO5nzs1q7tiY0bMbJXnxCYlEL2FGEl2AGUjhUWyx77kGECM8BIgAPNezEF+ge1VeQ3LnzjSbJt6nj5aTB/eUQ3s/Kh/v2F62NWm5Zcu28tHHn5Rde/eXPfsurO78yb69dbt3z56y9+Nd5eOd25uwo+w6cLLsPT6rHB1qhP/sOWXxgsZ0bl6bIZ+El+glzFiiQ1SUHVVHrYXKo+SMqYul2/0G4+8sDApIUehOUHPG2Q2Ws4MN0R3eUw7v3Vl2f9QQ3eatZeuWHeXjw6fK/uOD5cjxRrWdPNGovWM1rY8dO1qOHjlYjh7cWw4f2Ff2n5xdDg0tKmfKQFnQNAKrlzZpdJHgk+gSvYQZ10cXQFQIDtFxUHBK3HHHHeWWW24p69atq+qOyjGDwicYOSd4Y5m37QU/uxvnGkI/Xc4MHS7HD+4qez98t2x7682yZdvHZdu+k+Xjo+fK8eZVcNclhXqeGjxVytmGJI8fLQcPHS8HG2I8fnKonJs+n0wiMSHMaNM14B6ILZSdfWC+Unae7bi/W6qdsotzuhMXx681zdi8+Y0JO3ioHGaSvvN++Xjr3nJs+a1l1vV3ltXrN5abN64vn910Xbn+urVlzZrV5bo1y8raNQPlmtVzGppcUgYbRTcwe6CsWDK/rL12YZnX2K5puiZ6DTNW0bVB3el/M1sCiT744IPl/vvvr55Zx32W0fg6CwHwzAbxducMCvKsIf+GnGbPa8zypUvK4uWLGtOzlLmDx8r5I4fK4Nl55ezCa8vAyg1lzbpNZdPGTWXjpgth06c3lk/fvKncdPONZcP1q8q1SwfK8ubaBbMbdXjxCYlEryGJ7iKQHTNWX5wpYnfddVf9+r8hKD6d6CtkiO7555+vyz1Zz46nlsrsWsKr2TunUXbG380qc5pDc2YxZ5Hh7Hp8VqNmZ1PFzbG5cxpFO29RmTN/dZm3aH1Zdc3a8ql1q8q665aUlcvml9kXzdskvESvIYmuBeYpc3jt2rW1zw7Jffazn60fxUZoPrKtv846dgYVG2fHtDXWjuOCud1VqIzUEJrQEBuP6exZ5+sWsQm/R1r1WCPfZi1uTlxZFi9dWa5tTNlr1ywuyxplV69z2oVNItEzSKJrQV8dVacPbv369eX2228vd955Z3VQmD5GufHIMmOtaWeL/Hx8e7pnUIyIGh20hND02TWhkXX67i7g/IVTAk38Gz4vg6dnl1OnzcZo0qIxe5etWFgWLZ53SdElEr2GJLrLAOGtWbOmzo1lxj7++OO1344TgpJjvv70pz8tv/jFL2q/HcdF9+J3BFW5irpjzs5pyKzty2mOn2+U6emjR8uxPZ+UE8ePF/7lc/Oak5oTs7AkehVZdi8D/Vg8rDH05JFHHilf+MIXan9dKDvr2Zkyxpw19ITTgonbdcrukm67uD7cWWPsTpXBUyfKyZODZWjwdHPsZDl54lA5dGB/2bNzT9mxdVfZ+8nhcnTwTBlsiPJc2K2JRA8ih5dcAXWIRhM4KkwFszVTAtGJCxUnXuJk6EmMy2vPoJheGCR3opw+sq98sn172f3+h2XP7kPl8LIby5nFK8rA7DNl0fmjZe7pfeXgJzvLx7t2lB3bd5X3t+wtH+xo1NzAorJg1bKyYNHCsnDu7GJATdJdoheRiu4q4KBAXMxY3tjPfOYztd+OSYv8zIuNJZ6EIGXOCYRYFVTXKLwmLufOlDONcjt56ONyeN9HZc+u7Q25bS/bt35Qtm15r2zZsrm8u2VXefvDQ+WjT06WY6ea873DxTskEr2IJLqrINQcsrvuuuvq0k48sRwVzFhEaJhJLPFkJgUzloMC4ZlFMf1k19JhyPfMqXLm1LFy+sTRcuLY0XLk8OEmHCiHD+0vBw8dLJ8cOFL2HTxZjhwfKqfPnC9nk+gSPY40XccApCYgPiZqmKs8rtaus1pxmLMUnXPjPIQ59QjT9ZPGdN1RTde9e4+XE2vvLQMb7iprb7ix3LrhunL7DSvLNauXl2XLVpSF8xeX5q3K/IYc12+8tly/YU1zfElZNK8h/OaOabomehFJdGMEr2v0w1nXTnyMpTOgeM+ePXUb34qNPjvXIL3o85s6DCe6rWXvvlPl9IaHy6KbHyo3fvrmctfN68u9N11T1q69rqxctaasWLKsLG3ivWLgfLnuU9eUVeuuKYsXLygL5s4pA02eiP0FdXfhPab0dRKJcSJN1zEASSEs5GYGhYHETFjDT/Td+U25+cKYmRMvvvhi9cwi61gMYHpmUYThiWhnl1lmQAw0SnP+wrJgoe9nLC4DC5aWxUtXlBXXXFOuv2FdufHmDWXd2lVl5YLmfc+fKbOGTpWh08frOnXHTwyWE6fOlNND+iAv3jqR6GIk0Y0DlJqhJzHOzgwKY+z03Zkva2knH8Y2qNiUMQOLrYSC7Pxtesjud7igLC9ODTOAuI4gbszyeQvKwiXLy8q115Z1mz5V1lyzvCyde74MDJ0s508cLiePHiiHjxwuB4+cLAePIruz5VwyXaIHkEQ3DiAK5qgZFBwS1JyFAB544IE65s5x5uv7779fFd3rr79eVZ0+vFB2o3FQxDmIMTy44wGD89KVdmq4sPP7t5xTVd7SVavK6vVry/Kli8qCc4Nl1vFDZfBQE/cDu8q+T/aV3Z8cLXsPnS6HTyK6i5eOAqN550SiE0iiGyeir41jYvXq1XWlE4T36KOPlscee6zceOON9RyzKJ599tny5JNPVlPWlDH9jYgr7nEl6JekApHjmOfT1vubBWEsIOV28VDz34WJ/nPK8C7Oqvb8be5Amd2Yq4N7d5Wj298reze/UrZ+8GJ5+4N3y2sf7i1v7zxWdh4cKo31elWIs/cQkuwS04EkuglCpdVvxzGhj+7hhx8u3/rWt6rCs4Cnym3mhOliCC/G2plFgcCuVOn9DSEiuejfGxNJ1HMb1dXE4dzZc+VsI78MFXGfs2fPlLNnkKdzLgT39p2J86X529DxcmTf3vLJtq1l9+Z3y84PXisfffhiee/D98rrW/eUt3Y1RHeouf6ipLtcrOIdpMOY459ITBLS6zpBVAXUBPHQd8cba+u7sEFOFz48c6o6KvxGcEFyguPIciTEOfEM515ZCTZEcr6RWeebZw8dK2dOflz279xadry3uWx+a0vZtutIObR0Yzm3dHVZMHC+LJtzoiw8c7gcO3KoDpE5eGBvObhvZ/lk97ay9cPd5cMdB8q+g0fK4OmDZcGcQ+Xg0LKyb+i6UgaWl9UrFpfb1s0vC+bNqsSpv044f/7/tp/xDu2QSEwVkugmAVFxxSWC+CMvpCfeiA7xeSf9d8gvSMt5+vwu9y7OcW6EK5MExdSYuOd8HOdIOXFoZ9n30bay44PtZcvmXeWjfSfLsSXry/lFS8v8OWfK4nK8zBs8VGd47D/wSTmwb1fZv3tr2btzS9n80bGydf/5cmywSfeBU2X90uPl2PlVZe/QujJ7/vKyZsWicvvaOWXhvHPl5OlG3VXVOKucYyjUNGk21dN7IWaRThESialCEl0HgIz03XFKCEDhcUTwvnofxIfgxB/Jea9QdW0yCHJz3tVJDi6oudIQ3dCpRql90qizXTvLrh17y85dh8q+Y+fL0JJryhzzV2efKQvKiTJ76GgTt0bpHdxfDu3/uBzcs7Xs/3h7+fDQvLJ7cFk5P3egXL/sTPnMNScaWlxdPh66vsyat6ysWTav3LbmXJlXhsrRE0N1uMkZfXZzjBls4t3siq7lnSLuo3uHRGJykUTXAajMlFzMoIgQZqz38j62fnMyqPzexXUIr00G9iOMCk3aUXbn9Y0NnWmU1rxS5i4tA0vXlBXXbyyfuvWOsmnjDWXT+mvKDdctL9euXNqk5eKyeNHismTRghoWLW4U36qNZfk168v61QvKphWnyob5B8rewZVl++m15dys+WX1/NPlloV7yuljh8v2/UNl//Fz5cRZntv5zTs0xIzkGraLhU9GHf9EYpIxqyGUruwdRmqGY+jEf/nll+uMA6RgoO7Xvva1umSSuaeIoRuB1JiqlBtC8y6GmQgcEgYVex8OCwt78tgKt956a31HJDluEtdHV50QjTl5+mQ5ffJEOXn8ZBOPU42JebacnbeozB5YWOYNzCkL5jWKsnkMEjpf+/bONpcONulveabFDUk2reGJj8uSI6+WRQeeL8/sW1+ePnx3OV2WlJuWnyh/sG5nowkXlLdOXF9OLVjTEOOactumaxu1N1AWNCQ3v7m3JdwTielEKroOAXGEshNnwTHxtaXi4p04JuwjPr+RpGuv1G93RVBOZkDMmltmz2nU1fxFZcHiZWXx8pVl+erVZdWqFWXl8qVl+bLFZenihWWx+C1aVBY1W86UhY2aW2wq2LLlZemieWXpnBNl0eDeMuvIjrLt0Jzy4ZEF5fjJM2Xu+cGybN5QQ3SLyvHZK8pAc515sdesWFQ/dj23iQaSy6XsEtONJLoOIshOHMMkpdS8g2Peh+oz1ITHk0Mg3hPJeT/nh+h2v9ED2TXmbvN8KwnPmevDNwONirvwWcd58+aWeY15ObeJh7j8Lug3vHj+nIaoG7aad+ZIo+p2l7OHtpetnwyWzfvPlcMnzpShc415umB5Ob9oTVm8YnVdGODalUvKyqXNO86bXYmO6Zo8l5hu6C9OTAGQiNWKLfNkjB3T27SxGGtnypgBxU8//XRdpt1yT5Z6ovbaa9tNOZpHeuyF6fzN9vThcvbIznL88Mdl9+HB8tax68v+uTeWlWvWlo3rrikbfTGssVnnNyVrrv65elUiMb3IcjhFoMYoumXLltVpY/ri7r333nL33XfXfV8eQ2Tbt2+/NEf2t7/9bV3jjqeW0kN4U4/zdcBKRVWIza9ZQ+XsmVPlOC/yzgPlwP5j5dT5WeU8U3teoxLNxHD6hasSiWlHmq5TjFBlMVd2+fLl1flg628W8bSmna1ln6RBDEKOwByeMpxvlOSpQ2XW0Z2N6bqtbD86u2w9tbwcOT2/nD0+WBbs/7gsGjhX5q9ZXmYtWVzmLBwoizggLl6eSHQDkuimGNFvh7BirTr9cEI4Kfzdu8bsCr9tBenivAhxz47hXGM2n9zfkNyOcnrf5rLl8Jyy+XhDdIMDZd6ZwbK27G+IeHY5s3hpGZo1r5yfNbcsalTdvDkXFhJoYtnE78KtEonpQhLdNCBIiimL8GLAMOVG5dlHboameG/OCoONEV+Yr651jtAmvcnG+fODjXLbXwYPbCvH92wpmw/NL1tOrSmnzs4vK+YPlduXHSgD82eV/WcWlKOnG8I7N7vJFwQ+r5qutZ8umS4xzUiim2aIP2Wn704/nVVPmLGIC8EZfycNmLF+IzrXIEUEGYQ3+UR3QY81dmsZPLqvnNq3tRzd+UH54NDisvX09eXsnEVl/coz5Qs3HmrOHCrv7z5f9h482xDg3LJ8zcqycHFDds3lA42y02eXSEwnkuimGQjKOzBdvY+FOxEY8oo0QHZIjqITKD2EJz2c43yhIzg/VM4OnihnTh4vQ6cGy+G568vQko1l1eqV5aZ1C8s9m+Y2bLasHBpaXubNX15WrFxR1t+wpqxa1ijU5k8LGqKbk0SXmGYk0XUZvGMotlWrVtWVjIPUpAHS8/FsacJpAdQgkxc5Th6Q0wWTeNacgTJnwYoysPKGsnTdrWXdhg3lphuvK5tuuK6sue6GsnjNzeW6G24ut968ody2aW3ZuHZ5WbVoXllsDF5DdGm5JqYbSXRdBsSi3857IjumKSeE496fopMuFF4cd76tMXfOiftMCvGZYTG7MY8HmrgsXlUWLltVVqxYXlavXFpWLFtaFi5ZWRYsWV2Wr1hZrlm1rKxasbgsWzRQFsydXeY1Sq6JRqXMRGI6kUTXZQiCQl7MWUQnhIfW+4a6i8HEpo6FSRtEF9cF3Hd8QFZzqqqbPc8HdRaUBfMbIpt/wYkypznmQzsLFljAoDk+MLequOZfklyia5BE16VATN7N++q3E5iyzFREaE07U8YsdmCBACYt0pNuSJIadG3ca/xEl0j0PpLouhjIiSrTT2epdu9rH5ExWxEbJYfwEF+MtROklWljQtwLQSbhJWYikuh6BNIDSbWHopg7G04I5qu5sdJq9+7d1WFhdgWEGRve3ERipiGJrkeA5LxrDEMxbcwWefmbtIm173hjkV54ZUPF2SI82wiJxExAEl2PACl513BSMGFtEZ1gP9KCumPOChwWfjNzg+ioOuemKZuYKUii6zEgJgSFsJAb03XNmjWXTFnpQ9kxXS39xIxlwurLk1YI0jlMYPdIJGYCkuh6GIiKd5UZi+xiCXbOCGrOYp6cFNIxFJ0gbYW2oyK2sZ9I9BOS6PoIlB7TlsrzPQ2Lepo3S71JO0NRqLyPPvqoKj1kiBRdIx2j/y6R6Dck0fUBpBWCkhYUnXRZvXp1DdF3R72ZTcFJYSWUmDsbY+9spa/9CJAqL9EPSKLrAwQZSQvqTBpRddInnBdCOCKkYzgppCviE6R3LBgQcN90WiR6HUl0fQakJE14YqUV05UZu379+nLDDTdUpwVIW6as9H3vvffq7Aq/HZf2zF3k6D6ZxoleRxJdHyJUGDVncHEQ3YYNGyrRMWOlLWeFPrvNmzfX71IYd8ec9fdQf0Gckc6p7BK9iCS6GYIgP4FaY9oKMczE35myTNhYCsqwlFjZOFSecxOJXkMS3QyB9ATpheAoPWPq2kSnbw6pGZISZizyE1zvWnkQDgxoK7xUe4luRRLdDEEoOuZsrGwSsyoci22QGcIz9ATJ2Zf+try18oUzg4nrnkFwtkl2iW5EEt0MQpuIguSkoWEoxtzpx7McFKXnPGnOjOWokA8Ck9b4O95ZJOf6tipMJLoRSXQzGIiOV5aDgqMinBWOUXfSP/rrOC3kBZNWXlB0iA4p2lJ3iM5+IIkv0S1IoktUQpKOEQwr0Y9nDTwKzxxaqs8x5Mik5aFFetSemRbyiBdXnoVJGyGRmG4k0SUqpLcgPaUxVYfcDE25/vrrK+E5FkQX3tkdO3Zc8tByYsgnROde8guGk10qvcRUI4kuURFmJ5NVGktbnlmqDsFRc477OyA7jglkFwsHID/5FA4Moe20CMLzrCS7xFSia4lOpdDhvXXr1vrxZpVGheExvPnmm2t/koqYFWbyEAQk7TUgnAwIT0B2YcYKfjsnpo4hPapOXlF4Fg1g2vq7BkpfnpBOi8R0oGuJTuVQSbZs2VIrjcpk/JbKt3HjxuohjI7wROeAlMI7i+hiKpl9xxEcFUfVITmmrJkW27dvr2pPX54GyhJSGqkwjzPfElOJWU3BuzDycxSIVWsRENLpRMsc90R0FMEzzzxT3nrrrdrRzQyiJB555JFy33331cqm4zz6ghKTi3b+tveZpqaM6VZ44403LnUvOKZ8ID7KTR8fL66G6c4776x9fRqqWGAAEB5zWECcsRWcEwqwXUwvt5+YWZD3yoZGVCB8LteVNWqic5rWWlComZWd7B9DXpYUeuGFF+qkc4pBvxBz9YEHHqgVx+f/VAiKIdF5RFGRN6HimKsITqMkaJAEeSVv9OvJM6QXpmuQl/vYIj4E6Fyqz3kUpH3HQwE6N0KgvZ+YWVB+lIsbb7yxbNq0qQqf6EMejjERnf4ypqQhBfrMOk101MFLL71UPvjgg0tEp1P8/vvvL3fccUdl8SS6qYeyIM0Fyl63gkZJQHLIDxFGviAj5KZQulbeykvnuF458neEh+TksbxtO0FC5SnIzm2TX2JmIojupptuKrfccksdIaCMjIQxEZ0+F2pOQY4Bo5ONKLhewnOee+658s4779RK5JnUwec///ly9913V5WQpuvUI/JI/iMc+aLhQ3iCfjmKX75EgDhPv578jLLkt/MRIyKj5iwNH0FLTb0jPvnv7+EBDvIE23ZxHmXRTvQolBf5r3vEzB4jBDSCI2FMfXRa3widKkRtomMS/exnPyuvvvpq3VdRvMxXvvKV8rnPfa4yeBLd9CHySlkIhSfID8faZUSBRGYUH6cFZ4UG7P3336+WAtKj4Ck95irPrgJsGFHM2uAI0c+H/JSDdp9MPGt4uRz+O9F/0OBFo3c5hT8moptKqDAU5E9/+tPy8ssvV6LTCc6k+drXvla++MUvVqK7HIMnug8IkNpDdogN2Qm6Qvx2nCJEdgpt9PFRchQdZUfFx9ax6MtzXjg6wsS9XKFPzDx0LdGpFIjuqaeeGpHovvCFL9QWP4mud6Dxosr1zSE0/a4CMzY8+n7bcmw4zqx1DSAwpKbfLoiPugvSi8HNbUeG8oHwIgSSBGcWun5mBOeH1l7lQH5a7vbMCC1/ojeAXEKpISLEhKTCTBXsO+4c58vz9lJRFGEQpH0BGSor/h7B+UzlCO5BKbofwg0MJ8BEf6LrFV2Yrlr44YqO6cpESfQ+9PsiJKTFhI3ZFRo5eU/lxRQz5zkfQcn/GJoSw1I4LMJxIVCAjreDc5m5aeLODCTRJaYdiqAQjgwkJq9DjSE3JBdDVzgz9OvFYgJh4roGEB8yowyZthwYykqEUI9IEEF2cphUojuQk/oT044wH5m1+tSYrUFW1Bh1FgrN71BooeBCnbmeeYrwYhiLgCSZukGUgn2BUnSO810XIwrcK7tF+gdJdImuRJv8ggCpd/kv30OtGXKiLAgcEm0nBIUYJnF4e6lBJjFFaMtqoAijrw/ZKWfx/Cvhan9PdA+S6BJdjTbZRX9cm+iYpQJTlNKjBqPvzTWuR3gITHlqKzsE5zfFh+T8HSmGsgt1GIH3NxwagvtGiLi2t4nuQfbRJXoeirCGUJ9dDD5WdpAZpYbAkFkQGjJTvqg+xMn0RZLIU1DGBKZye4yeYD9+I1XlL+7jN3JNdB+S6BI9D0VYeYkhKKHKKDDBbyrOWEymq7Lkt20oO9eGelSmqMJQjkxi5c42hsPYDyIU/EaWaWF0J5LoEn0BxXikwKxEdkxUZQjZBcEpX4hP8PcgR2ar8oe0kB3FF46PUH5IzjEkZ9smPiQZfYq2EdwvtrGfZu7UIIku0bcIsgu1FyZs9MfZj0HHfsc5QjgmgizdQ4g+OQSFrJS/MH8RYZsY297hMIFDAbomtkl2nUcSXWJGQHkKB4NtBL+pOGUL0SE/Q07CUdEmRL8dFxx3neoThEfJBcEZDhP9fe3hMRHavyk7COdJ9PPZHykkxo4kukTiIpAeAgtCi9kYQXxh7hqawgRGfsgxyBMJIa1QeAhPCEILs7ft8GDyOl855syI4D7DAwJEqomxI4kukbgIJinCCoVnG4ovHBxIMD7xqHwql0gwzF/nCa5ThgFBIapQfEgvnBwWJmirvlB6TN4wcwXXpVd3/EiiSyQuQlWI6oD02vsRKDjDVzgwgugoPQSI7ChAAek5NwgTgbpfEB7yQmYIzzb689r70bdn67c+vlB8yj3SC5UX+1RlODrieCDOmYlIokskRgHVRKDUgtSC2DgukJpgeIsQJCf4jfhsQ+khJKSj/LovEgXHkJTjQWpBjIiOmWsrOO63reBc1/pbEKXj7u++QZAzsc4k0SUSY0CQXdusDceG4FgEv5mxiDD6/ULtOR73cMzf47jrwuyFcHYEybVVnm0c83eBImQWU4uOA6Jrk2Uou3BwRGgfG2m/vYX2fjcjiS6R6BCoNESGwBBZLCJACSK/UH5MX86NIELHo59PUBfcK1SZgLCC5OJYKDwEiOj09wXRIUvHwwQOs5YCDAXpd/uYc4aHOAdsEV387mYk0SUSHUSQnbKLvGyFIDHB8SC9CHGufaQYBOhYqEjwO8b8OTYSUanifiM5xCc4jhypP4EDJMjS30Mt2g8lKfi7e4F72E+imwCS6BK9jqhatggvtrEfIY6F6RtkZovcKMDw7CK1UIPOcYxStHUs7oMgXe9+jiGjIDJ1xnORVNvb628CkgvyC7KLLbILErXvuHPDHBa60ZxNokskpghXqmpBeMo9oooQZIfcwpMbag/R+VvbIYLYHEOM0e8XCrD9DOc6hqCCwJAXonIsVFzsBwkiS0Rnyzy2cswNN9xQV5JBjM5xn25DEl0i0WUIQmoTH7JCYkGAjguOhfqLQN0Z/hL9fkGOgn3k5zhyBOSGnNzPMykyv68UEJ2l0m699dby2c9+ti6dhvSou26sk0l0iUSfQJ1RRyg5Y/0QHbMWsYUqpP4QYZBgmzxDKQaJRvA3NBEBGVJ1GzdurCTnG8u2mzZtqioPCXYbkugSiT4CEkJYSC3M2VCDtoK/hxkcZObvjrVNXcFv5KjuOUcIxwhz9eabby533313+cxnPlNuuummSnTM125DEl0i0SdQlQVkh6TUIftC+29C/C2OB9EhxyA096D+KL8wfdVBvylFjoh169ZVsxXJ3XjjjXXsXiq6MSCJLpEYH6JKD6/a7d/D99U3RDZc5YWzo60Kw/xV9xCbhUjVRVvkx6ztNiTRJRKJCnUu+uNC+YW5G+TnmHqIFDkxmKnt4Sfqo+PdhiS6RCLR9+j+Ic2JRCIxQSTRJRKJKQHjcboMyJ4gul5ZISGRSPxfILfo/xP08001JpXogrEnm7Xb95vse89EdCKPxotuigtk+Zp8SFNEF04M3lu/pzKtx0V0IoiVRVakvQC3dDt4oRh46NyxvlTc3zb243dss1COHlHY5FcMI7CVP1MNcfFczzd8oV1exHEqEWU5hlK002Wqy1fEI/KnnS7+1qsQd+8gfQ1LiWCYirF73rHT5Dcur6tLIkNiTI2BhgjP34yjMRGYy9lE31gZYbRuZwnjXtblf/LJJ8tLL71Up6w4ZuT1E088UR5++OE6WNFKC4krIwqa/JJPvNnSUtrF+KephLgoMz4yo/zwnCsv4uMbCsrMVHRXSBeEJj4GwSpvyq/5mtLFGDFlVlw6HR/PlT+mb8kfJAcG36o/5pEuXLiwHus1xHupw0ZPWJMPf8h3aa1Om2Uhvb2jubSTjTl/2+Di/qgQlUaFsWCgOXUKyEcffVS38SV0BUchVpAUYuQ3mkKD1TG/hNm9e3d58803y4cfflhHYjvu2vhSetxXwnS6IPYy2mkqv15//fWapioTcplqolPwVeZXX321vPPOO7UCID6FX8EXpiI/pQvCV5Z98EaDinyV74gHXK3MThbEQx166623yubNm+u+eoQEEUGvEp30DALfsmVLTec33nijlkHHqDrpix9G4ojJSPsxER3SUjlEWoGQGQqpY2FyIMKoVIjQvlYpyCgIbzhcJ8hsZLl169by9ttv1wTZtm1bzXAJ4pwgOAXAvdx/NCQ6UxFEpyXVeEhT+QdIzjI7UwnlRR6/+OKL5f333695rjJo4cXHWMmRyshko010ypj4aKSVLfFYvXp1jUeUrU5CWSYMCAaN+/bt22vjrlFAcKZXsZB6EcEbUbeVP4RnH08om/LfuzrPb/miroO0n2h5GBPRtaX1u+++W1577bVKPoiHwiI97Yuol9BKqlyISOFRkGXa8EG+MtlLSRDk+MEHH5RXXnmlFjzPUTk917MkQCSKguq+CkAsHzMVhbLXIJ0UMo0FgpO21IJ82bBhQ52nOJVQPsTjt7/9bSU6eaoMGFm/fv36ql6miuhULASj4omPNBIP6cJ8DaLrdHy8vzKO4ChddcdvdYIpbzkk216Euh19cMg7LAocEZaf4H3xhX31G9RpdTzq9ngxaqKTESoLktP6qSwkqIcrnLfddlttdfQniKhz3nvvvXo+YhMUIJmFDIdDhkYFcO9f/epX5Te/+U3NcInj2f4uIEMJ5Bp9f9EH2E4Q8c1wvpI+ImEaSsdIX40HsxXJ3XHHHTUPFMiR7jFZIRogcVGhf/3rX1erQD7KO2XD0j8IxrnCSPeZaAiofMqTCqZxVd7ETXmK9dWC5DoVF8G9pYFKjgDkD2WnzAMRYXUQSrfTeTTZAUKZyWPpSyB5T90o6rJyyTLEFRS1/EB06nJwR+QBxH0DcfxKGLUzwmkipwVWOMOctEzLPffccykjRJAKM22LRPUCVJzz7r///hos2NcGpo/C75pnn322BhK+LWEDXox6jGc/8MADdZ9zQmWRMMOvmalQQKgW+UDFyZsf/ehHtTXVOH37298uf/iHf1gLIaXcSYgLiIvC/t3vfrfmt7yUd7fffnud3mdtM3kY5DLZiIqhbKlUKtdzzz1Xvve971Xys+zQH/zBH5QHH3ywNqDiotJ1Cu7tuRoh4uGHP/xhrQvAfL7vvvvKn/3Zn9X13tSVTqVLpyCuypZ31Cf7ne98pzYq3tf7gHTWJ4pDOKTWrl1bhROu0PBJBw2QsmKrkcYrrJLRYExEx5REYAhPxRARQR+PiFFsWiYFR0YxB3SskuLMkS9+8Yvl8ccfrxVMZkXBlwDYnengGSqB/jmtmvtBRDMKqWfpRwnTiypRECSEl0+iuwBprPHRKGkx9X0+88wztRWlnuTHY489VvNTPnQSkXfiosH8wQ9+UJWUAi4v5d/nP//52mip/HF+p+B9qSZKijn14x//uB675ZZbaprceeedl7pdoqx2Au6tnMsf5V7+UNzKvPKsbH/961+vjUEvlmvvId6C8ve///u/lRPU+TBRpbEGBeEJSAyhIT4khz8QHr6JboXw0Ifiu1IejZroRPLnP/95NTcQmERXSTw0HhgEwxxAdsxOLeX3v//92o/2yCOP/F6LLQC2lwBaMkzP5KUYVcbLQcJ4JlnvpZEdwm3HI3GBXNoVWuGilClo6Ua93HXXXZVYolHpFIK4xEUjpmxo1TVaKrTGUqVWtjqpoALeV0UTH433Cy+8UBUGFaGMagjEQ5gKoqMulXv5w6QDykUdY7Wo8L1aroNmWBIEDavQO0b/rLIhHWIrqMcxRE09D2EjKCN+455Qe9FXPxLGRHSY+Cc/+UmNpNbuz//8z+tDtchYOAqywqKfTqXS1/Yv//IvNQIU3Ve/+tVqbopUXONlkRtT5pe//GXNbOZNsP1IcJ2EwPwxRMIL++1Zo3ytvod0kh/SmAmL4KIllW8KjOC8TleiKB/ignTls8qtwZNvCjTyRXpxbifhfTUCGlqVTsPsmEojTcL7GxWwU4i0lz/ULjXH8QbqiHhoxNWZXi7X3hMvEDWEkHdE8Fd6J4JGn753ly+ITV2PoHHU5UGF28cJI2FMRPcf//EfleyQEhPjb/7mbyrRichwJpVpXgbR/cM//EN9Gf1zVCAVIfNEXiFS6Zi4f/d3f1dVo74krezVKp6Ei4IYra6Q+L+QlvLAFvHZSisFSZhKRDyQTORx5J24TGUeiks7PuD5ypMwFYQbEA95o/KLj2dHGdcYTGVcOgXvKJ3jHa+GdhpEQP6h8qhv4ulLX/pSJTycMhLGRHT/9m//Vv7nf/6nktJDDz1UiU6/CmWASdsZ4WW0Tvob/vEf/7G+2L333ltnNDCVRDKITguvb8J5iI5ZQ3m45kqIBFAgkW0QrmOjfK0ZAWkh/1Qi+SK97as8kW7ScqrSLEhFF4dtFOCIT3RpTAXERaDqxEcaKMsqU5TpdrnuBCLt5Yl4aPjtQ6QL814j0Ovl2ntJZ+8p773PaN9JOrDeKP52nx3RxbTX1cAyGAljIjpeKUSn41Zfyl/+5V/W8T0kpIe3lQGSYp7oc/vnf/7n+oJMVkTHQ0uGipSM9NLM4f/8z/+sCtA+84qquxwUjrbpaiiAF++XAjFZkE7yQuWJoRT6xShueaZFZBY5Tx53EkEY4qL/VV+vMiIf5ZsyIR/DZOw0guDEh/Whn86xUAq6QqLhjLh3ApH28ocJLX+UfWUY8YuHSkxQdDqPOg0CRjpzvDBjkd2V3knaKx/SgYojrDirbAVEx2SVRtJHfo2EMRHdf//3f1dPGa+oPoxvfOMblbRkggKqFQx4AYVZh/O//uu/1kzjJueQQJIKtvO9iHP1jzz11FN1WAnFqBJIjOHRUygcw+5ezAsiOC+tcEoMf+v1AjEZkFaCyqziIBWdwTq7FTLpRl3reFdArqagJ4ogL89WmZ9//vnaTaGxQrriw/wwLjPIZZTFc0xwX/C+CD+cEYZ2aJA9X5rollGWpE2kZSfi4109V/4YrSB/whGnEdcQ6fZR1pXrTsWjUxBf8RZndVq+q99tZ4Q0EKS1IN2RWwgZdV0DhOSC6JAcHgpxE/k0EsZEdNzvnBGIDkkpDPrbOCY83AMD0UcX45NEhLmrjw7R+S2ImALH+WCgpOErChz3s8IXEj4QmexZmNwL64gUFAiqQCKN8rX6HtJLYdKNII2lKc95DC8xjGK6hpcYzxfDS3Qyy8vpGF4iPsbzKd/Km7L06KOP1nJKTUQl6hTcW1zaw0tYNKABQP4WslCpe7UBl67irvzp58ch3lEjDNK4TW7KhIaPtahsIDlErxGSDuq+v6nvo8Goic5pzFCZIJIKhz42tjFzlFqLjkDnkqjUA4XGJPU3hUeGMXfbkAgKXMzD9Ixf/OIXleyGE11AQigAns+bq3BKgFR0vwOi0EoyiVQiKopaVtAUMhX5T/7kT2qQZgixkwiVplzI23/6p3+qZUllVoA1mKwEjaf4OLcTDVYQqPelojQAyjbLA+HoS/6jP/qj+mHm6DMM4p1IfOK5thHAvVX4GI4lf3gmQV+UMv4Xf/EXtSGI+tCJdJlsxPuJq3QVd/X77//+72v91hcfkAbRfaHrQl1mbSijlDWLEdkRWPJjrA3QmIjOqGb9cypLjIPR+soIkcKwCrNMY55QdFpu45NEnqJDSgp1G0gpzCtDDqg6Y21UBoXQcX93npdUMag3iYBgY7ZFJETi9yHvpCOioxh0PyAbDYUKjVymEhpBBGfYUZvodINoCJWlqYB0ERdpo0HmbFMh9SWbMaK8RvfKZMEzlWVWjPLstzLtNzNeXZE/lI+/Izoq96//+q9rhe9VsPBwgvzWwKnfGl9ERZzgB0EdtqXYlAfjY5UN6YDYxosxTeqXKSKGTbWGzB8ZpDOXwkNsyI9akGkKkEwVSYRo/iA5SpoOB/ZXoGR6jIvD4l7OcQUO47teS8sEVhCRnfNc49pQDYnfIfJIntlqOKSlxkK+THUFEgeFXvlQnhRqLbgCLS6IbzLJ5XKQLsqndBEfZVgl0/ejgjGZQnlNtEypO4hLnYn6QcFRNeqMZ6v4jjsmPhSQcq/+sFioHffptTIe3VjeS1cFEpfuSA0naNh81U8w7U5Do17LB+/OGgweGO97j5roPMCDQi4qHCqM38OZNgqPjBJJBVilCpsaIbURBSlINCSsa2U40wtkOjudgpMgbXOVieH6qaggvQaVQ16oaALVwvQPYpEvUwkEo3wYMCpPNV4CwhPk51TkY5CPrfgIiC480fbFYyIVDNwfPEudQWrhXVXpEYFn+Ls4KO+eJ23kk3go91HPRqpz3Qx84L2RvCDf1XECJaZv6u9nYSA+6a88eG8CRjp434mUiTEpOkTigYgqiEmhREoiFAHpCNHJLOIqUxDSSBF2P8fd2zkSwrOYWPpRFAK/tQIYX8IguSDOiRbGfkZUtMgz6aUQKWgKlHyZSoiPID7yL4hO661CU/xTmZdRdqSL8ipdlFcNrb9NRtlyvXduV3rdP7pnwLtH4x51x29b8UKGSDCGWqj8U5lGE4FG1ntT8tJA/spvio1Fgez0P6rP0l95VP+9o3dXZiec/s2Dx9SrGYpAwsswWy+hlY7CIsgQQWRtI8KjLTQSB8nx8vLCMnOixdWPo69PgXTfxJUhi+WbIJ/kn2PyIwrTdEDLLi7Kg7hoyFTi6YB0oaSki/S4XIM8Ebi3uqIs6+fmdf6v//qv2gf3V3/1V5dmDEkX4x2dx5Q1E8liF8r7N7/5zdovTYn3CtFJWyTnvdRh6RB5Lq2VwTapdQJjUnQgglEgMa8WWJ+K1sdvLZDfgt/YG9GNheQCCh7vkwyP1gDTR78S9TjZhbEfIc2lUxQsW0E+Dk+/yao88iqINQq5hlGQrwp8FHJbz9W4+ZvG07UQ8ZmseEE01uIgbp7nd5v0EZK46Drxd+8RaTheeAdp7l7KtOFUTz/9dCUwZGc0Qqg49SoUJYcJspM+oXhDPLhft8N7S7dQqqyy4ItQsCOVxcnEmIluOBSaYGgRFWEvZd+x8RZQ91U5DCzUeWtfAZHJZC5zWCJNpODNRKjc+oYM5VGBpGkQzUTyazjkHxKJYUbyUUe0rUGx8jRITZ8VU05nvL+JG6KBKE+TFTdlVbxiWAnFxNMvPkiYktJ/Ji46zxGM+LhG2dPQThTe2f15wI1iUJ451vSZxv2jXoG6hISRBKgL4kNMaOx7AZF3kY+TkZdjwYQpVIQVxGidtTTtwjkZiAxPTAzSMUwnlTsquMqt4lAMk5XW7qOyeh4CCa+bfilDjnTCIxSVNtQeUnQeEkCOAgJEiO41UbTj4xkIzPtLD2Tr+f4mUHLiIo3EFSE6FphIOo1U2YffT/2hdJAZAtQnbSstxEk6RkM1GWnTScS7eidhOjApRKfFiZeI0M7ExPRDRRKYaCo25aRbINSVSqzSTKQCtxGFW9mI4NlIFXnZqqAaxTDBIiBc51CeKnU4oyYSN9d7fihI90akSE15bZuDEcQZCXu+4FyKeKINQqRNu4609wPiwGqJ4VkcJJ4vvzQa0hBxT2YD1Sm033mkd+00soNrhkHFUFGYZDrEmU/MSeqFqpusCoMkwtxSQZlnvGwUCqUihEfeUA59rv6un4pyQSoGqOuEV6mR8ESA6JCE+1Jy7m0rnkjEbAhb0+LElScwxvQhXyRJQYX6nSoV5dnSkEdS/5znhvJFvhSePJ2q+PQqkuhmAFQClYFqU1FVeMRBrSC9IDrHJ1PRUSSUkk7nGDrSHn7keIyE97cY2uGY+EafXSi6icC7IQj39M7MZsfEzzON3/N8zxYXwx8cRzCIWrylTTgupopYEHGkI3UnXcVb3iE5pDuZSrxfkUQ3A6AiILgYiY9YKCdqChxjKqrAnagw7hn3bd9/uAnjbwgkSEQlFybD1EEK4RRBdoiW5w+BMV1HAscAdSetqLtwBkwlhqdXOy0irYT2eYn/iyS6GYAgOv1Sggqs4lItKg41R+102gRSGYPM9CshVkH8qBTqhGmJlIDpS8XoO5so2bmn90T2SD3MavdnHg6H5yFDqo5pTfE5HylOFvmOBu3n2B9OaElwo0MS3QwAAmP+BdExhZhjTDT7yIUphGyc2ymolEFwQWoINgInAbOSs8S5iIXJS3VNlFg8z/2pOqQfJMokvJyikzbUrzgwacUjxoROFdG10W6EPH8yFW+/I4luBoBiQiRMVF5MZKbSxoDuOMdxJISMJhuhRjwDwVFVnAEUljgxKWOlG0v5qNRUpwnfVNVIqmss8F7xXKSOxChbhIcsRoLjnhukKL2QL7K73DWTDWkWqk2+yKfwsnqHGM41VfHpVWTq9DGQRVRwQUc61aaSUCUqsMouICAkEETQCXiuOIWpypyMuAmUVqzk4TwkzOtpiygnolyQg3cMZ4L3RxDCle7rb85FKkxZcZlKYpEO0oojSRqBeIQalYdXe4fRIvJHkF5BrNJNHATKOPJNOYky5TzXdSuS6PoUCq0CGINiFVamqmETiE1lVzBVGOYZxWfmgoGoYTpOJtxPZUQYKih1xMsZK5bwbhpeQsH5wDlQe5YVF/9QMROB5yMo26jQwljvOxmkMtp7yCfdDtSuQcvST3rF0BdEN1mmNLIKElMePJepHwOUDcmRH4b8+LaLxUpNY/M3Dh6kJ5+6EUl0fQzkpgAKKgxisQwOclO5VRCEo79OS61Axzc3O1FgVUbqgyJhOiNYcdIHxjHCC2ypHmTsXASngiPeicYnVFn0sanU0sR2NETnnHYYL1zrXYS2AgrShXiG+IUTJYYAaaQ0CohO3nmn4UQX18c943nxzhpApESRITVqkYpWTjSMujgEQ3uQ2LvvvlvHXCI5C2fqXkByvv1gCluUGWWo/U7dhCS6PoWCHuZojEPToU41hfeQGqDy9IGpBBQDFcV8DGJxn8mCyhiEQ9WJhyEeQnT6ix/Co7xUPhWOSRvxGS+CYJG856vsSMT2apUzSCMIw/540sU10jlMQfsQ90ZC9v0dEbUJCOlQWdIqBli3vcDg/hHX4aQWKs39YmaMRsTAcUpNQGaISx+pLVKzjJQVv+N7LvFNF6rO391DHilj4u3Z3Ygkuj6GQhd9KEhGJaHeYvwY4lNpjBVTYVQAKkpliEoYlWcyEKrDVggzMvapLQQofohJHMRfBYKJxAO5ITnmnudExXf/q0H8pGWQBlIaT1xcQ/UgBWkczxciPtEXF0NhKDmKKcx3ZivVK8g/cQtEWobCi/RzTw2ee7gXZWbVFEtEWT7+O9/5Tl3W3tbv7373u3X77//+7/UcS7v/v//3/8qTTz5Zv9Tnmy6IDzmaB0wFeh/pM1llZbKRRNeHCHUg2AfqLcxFSkBQUai5WAnG+SqFiqjSqZRBeBOFChCVIPaHV4pQA46rqMgvwkRBzSG5mOXgPSnXtvPF89tB2nl/6SCoyJGmw+N+JbTPDbK0RUjygznqnkF4Qii5WNjA85G/RoAKZ7aKm/v4W5sskWSYoIiN+RnKjVqjyHycBnlZE++HP/xh3f/pT39aCVD/my/F+a4DQmO6ugcVSPWLW5SNSKt4x7Gky1Riwss0dQoSTAHUYmiJmBkKgxY/lltWYBWWxO8gjRTCMHtUZqShgugHU0lUGCH6rBRU6gHB+a0SRdo6Rxgv2bh3mGLiIi9VzshHfXQgv52nsqpMTCIVXBw4J6hOcfMu40GQk/cQF0Rg65j3AxXXecjM35jMbaIRF4TpfPujjUucF+8YJp57ILr4RoKGx72HN1IBhCjdXC9OiEz9kFZheob5GaYnYnMsyMr5CKvdRaEsuK8QSl83gkZQMPfYHGBzgeWFmSIUpRVVfMDGMV0OrnEP79VtGPMKw1MFGaBF08roF9BKqSAKxte+9rX6IQ0VNwpp4gJUAq16kJyKKosRisKo4EJku0qoQjNLtPQquILuexwKtGuiAo4H8gx5iYtKpkIiYfn41a9+tT5DHJCM81RgThGVFCmqNF/+8pfrh89V9PESnXh4T+XIvX/5y1/WtFKGxEFFVlE9Axkqf+LjfGmloWA2RkPhnNHExbWR1u4ZDVAoNt0FcW+q2n2RKqITZ419qDRpRJk7xz3FnwBwT3G175jgHoJ9z3V+xBnJum80OJ6L4OSxd5MGERwTnNM+z73sU8nSRH5qIMML3G1IouszKOxBcEgDcSl8KrH+OKZbILJeRfG5PyqAqgPp7DurlIZrKJmxQh6qbEEwlASyE0cVxHL4VJ3Kp2Kr0JQWRWcGh/NURF99o3q8x3iJLohBBUd0luj3riozkqFaNALRwe98zxdvlVplRvrKXMRhpLi0q5N9AbEgKe+IkAT5EiQkOCfILZSm4Jh4SBvXib80dZ5rQnnGPUOV2vq74D6h2uRjkKW6g5wQrRB/Q2ARqGgByUmb8PR6d+cKrnN/x8abP51GEl2fICqGCoHkEAWiAwVWWiG6MBVBJZDOKgmS04+j8quAKgWlwyxBdAr6WFpq95VfoWAQmHjZVwnFiWoM4nW+iurv4iNu8lblorYMqYjKNF5IH+8mbXTIaxCQBqjMntUmA88DvxGBtFPRxwLP9AwEJS2i/xN5iYu0QFTyytY5/obgpEEQpHOlpyCt5AWSlh7+7ph97xEEJEhD59r3ftLddd5NCOXmHV3rmP12GsT1jkmfKAe2sd/tSKLrE8hGaaayMPn03yAN6aNySiuqhTKJ81UiAbHw7rlGJVRxFHr9oFSMa1QQ9xot0biHyi0+CIVKc29xpCZUHKpOxYGIv+tUHn8TxB3JOn8y1ALyQBrihlyUK+UMwUgL7+h5iI3JjtwQhOf7m7i3EdXHVnD/IKh4lvSVF57lmfY9TxwE6SMO/hZE5zrp4Z7eW5p4toBwpAuVHvniGMISb+kWpqR3kZf+HkQnzeM93Nf928Hf2luI3+1jYL/9u1uRRNcniEqm4qhIKo/9aLUVfhVXYW+fr0JSHPqKVLQwf1SAdkVXUcaS1nHfMLvc2++oGKEc3DOKYMTJ31RSzw31ERVzovAMQflCQBSWuNmP9xYvhCAOyps4OD4cyEh6Ccqmd3Uf5O6dQ4U5hsActy9fnBvXte8hDuKHWEN9iU+kVZAaApOnto6F4vI7CM1+XIfsEJzf9q+Unlcirl4gtZGQRNcniApMEak0Yf4o0FE5VBqFPIBUguyi4tl3TIFWMeIa9xgL2cR9xSFIwO+4hy0Ca1ecKIpBNp4rdKpyBVGJmzgqc54lXkEe0iCINtJYcD7CQl4aFsSGNGMsom2QF4IX7EsP6RDBM71vPNP7eq4GRp8hNY1w5YPjkSYRN/txvRB/E9wv8s059uNdZhqS6PoMURERjW2QhMJtfzhpRPbH+fEbnHu560aDuF87BOJ+tu3jEM+L0ClEnLx7Ozim/LXTxG8hCAo5IjbKGamFaYrk9AHqk0RucQ14lyCdIBz71BeTM1Ss37oNDKlBdpR1KLsgK9cNT6P273YIDP89k5BEl0i0QOUhsbaJaRvmZwQKTqDo/I7z41xqLhRWW4UhMWTGrERegv0wNUNFU3K8wUjO31yfZX38SKJLzHioAlQXBYa82o4DRGYbyk2ZtHUcmTFFowpRWcgMUSEzJKW8hlMgCIwTwd/C2aIMU3ft4FiQm/s6NpJKS4wOSXSJGYHoK2z3l1FvESg3yow5iugEv9v9eG1157iqQ7Uht+gDRWhIDoExRwWKjFJzTtsjGsoOkUU1DBIbidSS4MaPJLpEXyGKs62gn41aQ1BUGCIT7LfNTUqOckNufiM1ZTD6w2xDXYHfiCvMziC0UG5hgjqn7RiI40GOWX6nBkl0ib5AkJqg7AhUnECRUWhMToOWbZUnx6KfLZScc92DekJElBcVFsNzbCkxIRSb4G/ORWRIsG2GttXZSMcTnUcSXaJvoHyEaRkEhryUnQj62oLgnOsagSmKFCkthKUvTQiSE5S9UG7DA+Kj1BLdiSS6RM9DEUZSiE2ZMcQj5stapsgiATEomGJjylJtzFDlR6c/kxOJmWpmWIfpaWaSILEwP9vOgbh2+D6llug+JNEluh6KqPKAoBBaOAgEZYJzgToL9cY0jaAMRdlxH2SEsJiYAhUmUGTKlnFrVu9FdspX9KMFibXN0DA7h/9OdB+S6BJdhyiStuFMkPccBGGWMkEFKk5wTD+brfOCBBGj+1BkQWhhitqn2ILsqDrHYwgIEzYUW5JYbyOJLjHtaBfBcCgIygCiCsWGyJigygWz1CIE9qPfzTnOp7wQG8XGHEVcplQJVktRbmyRGoIL1ea68K4K9pPg+gNJdImuAeVGiYVyM9Rj+Ng2AdkpDzEcxDXMWaSEtEK18YQiN+rMNhwMsU/NMWMT/Y8kukRXAMkhOOrMEBBqjWqLoL8N+SkDzqW+kFSYo5RbKDbEhsiUFWQWY9Zs24FiSwfCzEDXEh3TpU10CnoQ3RNPPHGJ6BTWRG9BkQuTNJwKodzkeaynF4t1auSQHFJCUG1yo9yUCcQWZmmQnD425yMyIfra7Mc2MTPQ1YpOIfd5tSA65kkous9//vN10nMquu7DlYqUv8lHxBVeUcG+gNSoOmYpJwOV53zqjVKL/rWYR4rwEFqYq4J9ZKiPLhvCBIyJ6Kgsp4/hkjEjOn+ZJyoAovPJtbai81GVUHRMEqSYmH5EubjcFpQhTgOEZlVjX7DydSpj3Sg5qg65tc1TRGbYh+9XWN7d0A+kh9AotnAc2MZ+mKSXcyZ0sgwnphby+GoKfUxEpxVWSJkayOVyhWgiiHu6v8rga02+Z6CVR3Ra7Mcee6w88MADtWVX0JPopgft/FeMkBiCYpYKlJjf8sffwBaRBdEhOVv9cI4xZ4EiQ3CUG1LzvQuf2DOQ1/LuGjyKLQp3uxGOALFN9B/krTJoWJBGj+i5HNmNmuic5itORpobda5AajU7BQVX6/7iiy/WVt++yqPw33///fV7kgq7Fj8qUWLqoIBFAGSG2JBYTL+SZxpGZaVNdsjPMX+PMXBhojoHyVFwFHsot+GmqQYu+tzaSGKbOVCmEBuFf9NNN9Wycjkv+piIzqfq4iMqVF0niK5dcVQE/XMffPBB3VdBFPL77ruvmjGIjqmSRNd5tAlFesufUG0C4qL4ERdlJr/CS+p8ZUVeKYjRbxbKT746J4hTHpuKFQtPaqnDNLUVrmSWJmYGguh8WFuXhoZxUoiOc4CaU5AV4MvJxImgTXQ6pJ977rn6lXHjp1QKnjbf+fSVcN41L+bcRGcR+YKQEFMoN10KoczkkbKhb9XfXYOUmJjyTcNEkTE15NtwolKeBIrOUJFQb+4R59qOssgm+hzKovKiUTQvOYTPSBhTH10MBdB6RwvcKSAvleYXv/hF/eCwCkU5KPyPP/54efDBB6tUTWfE1EAxEeS7/NcIafT0sVH4GsF2gBiwG/NHBd9CcAyBhUXQJjEBsTFNQ/0pzO1iOoYim+hjKAfKi4ZU46i8XE58jYnopho8rcbRvfTSS5e8riqP4SW+8s60SXQeFFyYp/rcqDdkxlPqo9cIL4aDxMKVVJtWFrHFJHkfouZUiAYqkZgqdC3RiZbK1B4wrLKRpzEzAtF10iEy0yEPmKBhkhrAu2PHjkuDeQ0HcRzC80VxU2zIjFfcvsaJ6So4R+t7ORMjkegEupbomKP6enIK2NSBWSrdBY2KPjhKTYNDtSE5Acnpl0OCzkVg+kmYqPGZPnmD9HjJmRZMUEF+aZwuZ2IkEp1AEl2iKjckx9mDvJifCC6+UWoryA/khwT1jTA/kRn1huQobISH7Kg4ys05mUeJ6UYSXaISnfTWt6aLgHozXpK329CemLHAEcX0ZJIiNAN3jV/yO0xTCi4m0ocjIZGYbmQpnMFAbhoPCk6jwrlgcLaZKBxAL7zwQnn11Verw4G56lxEx6lw991318bmy1/+cnn00UfrIO7bbrutKjvnXMkDlkhMNVLRzWBQcBwN+uAoN4PBzX6h6KQ9MxZiXBuTFMkJPKpIjZrTB4fUktgS3YosmTME2jP9cIaKaDD0wel/Q3AUnKl2FNwbb7xRzVZ9cfrXDAcxONtqMcYvGtZzzz331DmnGhomaoyDSyS6FUl0MwDRB4fgEJjhIe+88041S5EbM5V5SsUhQv1s+t9Ms0Nqptzde++99fenP/3p2j/H2RAr9KYXNdHtSNN1hoCnlDNBOr799tuV6MxqMH+Zs4HaQ1w8qDFEhHkqjWMhS31vzNTsf0v0GrK09im0X2GmmrHAm8pURW4ajt/+9rfVXH3zzTerwnM+UrMqzCOPPFK+/vWvl6985SuXTFWzG5AdczZJLtFrSEXXh4gxcQjOAF8Ex8EQsxn85mllclJpVFyMf7MNR4O/IbacfZLodSTR9RFkJYJjoloiCbFZEMF4uPCmIj+KzJg3jgZDQgRpKW31z5nOFQN9o/8tHQ6JXkbaIH0CKi6mbVFtTNS33nqrelRt/XbckBFERr1Zw+vOO++sXlX7HBCUHMLTFxdElySX6HUk0fUJkBGiM2zEeDj9b5ah51Wl6Chi55imFYN9H3roodonx1TlcGCqIjcKLlVcop+QRNfjiLFxlByHg9kNFNzzzz9fAyUXY+I4FAwTMZPBmDjf3TD4F8GZrpVI9Cuyj66HYWZDrCzCwRBOB4GZqq9On5tZDTHhXr+cpaepOP10CDCR6Hck0fUIZJNAwYVXFaEZ6GuIiBkOnA+8qc6j0BAc09SYOETHPI3lyWM5c+eN1kSNOIwU3CNC2+wdfu+Rrm0jro2QSEwGkuh6BIjN+1NpscovM9XAX6YqrypHA+cBFWfICLPUGLj4QlIMF2n3wY2GTBSRIFj9gOLRDv7ufvLClDAkGquXtJ0ZYWYL3seKxbZ+u4fzOUHajhAhkZgokuh6BPGdBqaqAb763sxJNU6OmYqAKDbKjUdVfxwvqmDifUzXGg+CnDwDwcYHcSwI4Deykg8IztQwz4/16ILw4j7I2NAX/Ybex/WOKYYILhYKEN/4DkAiMVEk0fUIkEJ8o8EcVV9H0ycnTRCJ/jdeVENFTLin5piuod6E8UDxCDWJkJjL4oFsqUhbBIikPM9zeXURbZjJQVbOi2XZETaijtWKPUefIVNb/N3L9cgukZgo0uvaxVD5makIxaoivKi//vWvK/EjOY0BkzRWF2GmGvzL4RCfgkSC4yW5gOvdx/2oNmqLSak/UN8gskOG1BuzGWFFH2D72fadg7zCPHVfv93TtYL9nJGRmEwk0XUZkFuoqJjdwNlgPByio+YQn34vZh6SMzfVkBGDf3lTkcVEyS3gOQgHaSEkipppSW35G2WGjD2T2RwLAfj7cLKy7x7O9XeEyMT1HhSgYB9JOy9M3kRiokii6xIgt+isRxz6wRCawb5mN1hxhMnI7HMuJcfJwNS76667yu23316VHJOPmppMkgiyi3445igiEg+mKAcJhYYEY+AxkhOHcESAfffwN+eHukN6rmubq4g1FV1ispBE1yUIQmCOIjlLmlNwzzzzTF1pRN+cjntmHYJjqj788MN1rTjj4ighJIFAhhPMZIFKRECeEWotvK4IkEKj1hAYjBQHx1wnjkGe3kncg+T8bbIUaSIBWZq6BMgCyVFHPKmmcD355JPlxz/+8SXHA5Kh3Cyf9Md//Mflm9/8ZnnwwQerlxNBTIUCQkDISVyCkOwjq+hbuxrJeleBgnU94ozr3dvfEonJRBLdNIMnktcRuel/e/rpp6uKs+oIckMGiEz/mw/QIDZeTYOA9ZVRUIgGYXRCxQ2HZ3hW+3nDVdpY4+FerhWm4h0SMw9JdNMI/XHMUSTHq2oS/ve///3yq1/9qg69oGwM1+BoeOKJJ8qXvvSlOoSE6Ur9IIhuUT8TjYfrIyQSk40kuimGisxEpeR4VXktrTaC6JirguXNmbA69/W/6YcTOB38NmYuHA6pgBKJqyOJboqBmJijSM6MBk6H+EgN76oBucjQUA3ExlzlWaXiYjmlmG0wXSQ32aorVVyi00iimwYwWQ3LoOReeeWV8uyzz9ZAyTFHmau8qt/61requao/zniz8GYmEomxIYluikDFmUlgLFzMcuBNNbPAvE9eU4TG2SBQcz4taPCtcWlIbiq8qolEPyKJrsNAcIJ5ohwMvqH6s5/9rDz11FOV6CyWafwYE/Ub3/hG+fa3v11nOjBV9cMxT7MfLpGYGJLoOgTkZhoXp4LhI/rj4qv45qpaWqndH2fIiE8LCqZ16Y+j8pLoEomJI4muA0BesSSRVUf0vXE4IDhmq98xP9S0LYOATchHcDHLgbnK4ZBIJCaOJLoOgZozRs581d/85jd1fJzBwJSc4xSbGQ7GxxknR9EZGKwvrhcVXMQ51WeiG5FE1wFQcybfU26IjZozKd8xDgWKjYrzoZpY6twsh6maxjUZaA8JsW9sYITRDhdxnhDmeTskEpOJJLpJggqrXw6YrJSc5ZUMHzGMhKlqALD14j73uc/VAcAIjlfVLIde9qgiN5P7rYJsIHSkw5UQ6RXnGlYjDWwTiclGlqpJgMoafXLGx3E8IDdLLFny3DHzUc1ouOOOO6qSo+iYrzyuJsL3UgUPUjIBn6mNtBC54TO2VyO6IDnmvXSDuGequUQnkEQ3Qai0sUimoSJmOlBx1JzhJEjOMBFOhvgqPrLzLQcKz8odvaTmEJH4Im6mNqL2OwjeElNBXpeDNHMOBShAkGaSXaITSKKbIFRKZhuSo+B+9KMfle9973t1BRLDR5CBAcB/+qd/Wh0PTFaeVl7VXiK4NoLkTEfjQPEeBkLrh9QvyZS9GhCdYTccM86Pe9omEpONJLpxgCJROfVHxUdrfHbQ0koGBHNAMOOQmdkNho4YEKx/jrlqgUoVuleVC2LTr2j8H2cKkxxxcbb4foTlpbw/IjPrw74tUpNezrPPfJUOlJyQJJfoFOb8bYOL+12F6PehEJhE+r+QC1MPeVAS09WJLx7iE55VXtXwrKro4m6+KlMVySED8WXCMtH6wTxDbN7TWD/vY18/WwTkxpxFdgKT1kotVK4tonONObyI0lbeJhKdQBLdGCFe+pVUYp5VSg7J2cbXsHz7AMlxOpizGp/+o1j6geQCSA55eyfvLW2oNEpX3skz2/iGq4ZBQILykrLldY6Pa6eiS3QKabqOASqySqziUiVhrvqeg6916atTaSk4A4CR3a233lrHyKnElE4/AFEzNfXRcbJwrvAic7CY7cEx45u8SM1W/6UtVYfkkCJlK61iFojfiUSnkB+wHgMkFWVCyTFTTcznXVVxdaQzwR544IGq5ChOFTmWOu83UG6CfGKGIjNEFqpNgxDqVboxdalxpM9MFeQlRSh9wqRPJDqBVHRXgUqqMgvMVY4HCo6aM0kfGavA+uQQnHXkkJ3BwMzVfp2visAQE4JCWroTKFnDZ6hY6k5D5G/SQUByzHhpY0sRBtH1i9pNdCeydF0FCE4/k35CBMerarlzRGdlEv1xt9xySzVVhRg6wrRDcv1agRGd4P28p0HP+kyRF88yIkN2gkYAETomvahc54eKcw/3SiQ6hSS6K4CaC8eDwb+GjcRgYI4HFVVFjj45fVVUi+MzreJ6X+SO5KUBskP6QXRUnGMxSBo5JrklpgpJdJeB/ickZ2iEIRH65MLxQN3pl9ORzlTjdDBGjmJhis1UIC5mKG8q5YbwjLWTTvov9VlKn3415xPdiyS6y4DJqlPd8BYE9/Of/7wuf85cVXnNcPA9B0ssMV0plexMTyS6E0l0wxBOaENIeFdN62KqCpSc/iWd7b6vahUS4+QQH3Msrk0kEt2FJLoWYrCrcWDMVeQWKwJTeEwv33JgquqPM4SEmZZ9TolEdyOJ7iKoMSRnQKvBwMiN84GiM4REJzuSMzBW4EU0dEKfVIwXSyQS3YkkugaUnMHIMePBGnKcD5ZcouwQIA8izyoPK8LTuW6IRCKR6H4k0TWIlTcMAOZwiO87GOlvbJhpTr7OZTaG4RLM1UQi0TuYsUTHVI1gCEmMkzMY+Fe/+lU1WY2HM/7LEkucD4aS6KfrxyldiUQ/Y8YSHRXH6cBUpeQMIeF82LFjR3U8GOFv2AivKudD2/GQw0gSid7CjCQ6Kk6fXMxdpeQQHRVn0j4nQ3zbwXg5+wbA8qym4yGR6D3MSKJrz19Fbr6eH9O6KD19csbIWQLdwpk8rFYnSSQSvYkZR3Q8rEjOkBEmq49LGytnkUhDSJCa/jgrkHA85IyHRKL3MWOIjrmK5IyTo+Q4H6xAYpK+bxzwrho2wlyl5IyVS5JLJPoDM4LoTMCPVW/D8UDFITvqDsnxrhoj18vfW00kEiOj72vxcMcDgnvuuefqdx4MBkZmTFRDR3hYeVqRHOQ6aYlEf2BGEJ0VRwwI9vV8y7I/++yz1QHBw2oJofgcYTgerKuWSCT6BzPCLuNltbacKV5M2Ph+gbFx4V21OKSxcwYJJxKJ/sKMIDrmZyz5zSy1QKaxcTyrjz/+eFVyxs6l4yGR6E/MCKJDcFa2NX0rlj7XH2fLVPURl1z5NpHoX/Q90VFzHA4UGyVnOhdTVZ+c5c+ZqwiOyZoe1kSiPzEjiE5/nO8XIDaDgR977LH6WUIe1nQ8JBL9jxkhYSg1ig3hmf1gOXRbv3P4SCLR/0hbLZFI9D2S6BKJRN8jiS6RSPQ9kugSiUTfI4kukUj0PZLoEolE3yOJLpFI9D2S6BKJRN8jiS6RSPQ9kugSiUTfI4kukUj0PZLoEolE3yOJLpFI9D2S6BKJRN8jiS6RSPQ9kugSiUTfI4kukUj0PZLoEolE3yOJLpFI9D16huh8cb+9TfQm5J8PivuI+ODgYDl9+nT9uPjw4PjQ0FA979y5cxevTiTGh1lNwetK5lAZ9uzZU37yk5+Ul19+uezdu7dWjJUrV5YnnniifPGLXyxr167NL+v3EOQpEjtx4kQ5duxYOXToUN1XBNvBh8R9onLRokVlyZIl9aPjtvk5ysR40dUlR8H2OcIo8IIPTQ8MDNS/5Re8egtITGOF3JDc7t27y/bt28u2bdvK1q1bLwW/d+3aVfbt21cOHz5c1Z1rE4nxomuJDokhNB+eXrduXf34tK/sr1+/vrbw/pboLQRZ2TJHKbwITFQhzNUwWZ2bJJeYKLrWdBUtZo6Wff/+/XVfwUdwiG/NmjX1u6xpzvQOEFr0yVF1R44cqfvyuk1qTFdKXv5S8L7BS9VnXifGi64lOogKEAEoPRUhTdfeRJAZBLkFYj/y1badz5nfifGiq4kukUgkJgNpCyQSib5HEl0ikeh7JNElEom+RxJdIpHoeyTRJRKJvkcSXSKR6Hsk0SUSib5HEl0ikeh7JNElEom+RxJdIpHoeyTRJRKJvkcSXSKR6Hsk0SUSib5HEl0ikehzlPL/AdF2iaFkArOlAAAAAElFTkSuQmCC)
The curves for P.E. (U) K.E. (EEK) of two particle system ae shown in figure, At what points. system will be bound.
![](data:image/png;base64,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)
physics-General
physics-
A sphere of mass M and Radius R2 has a concentric cavity of Radius R1 as shown in figure. The force
exerted by the shpere on a particle of mass
located at a distance
from the center of shhere varies as ![left parenthesis 0 less or equal than 1 less or equal than infinity right parenthesis](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAE4AAAAQCAYAAAC4LkmaAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAhVJREFUeNpjYEAFWUDcwTAK0EEHNGywAj0gPj4aRjjBUWgYYZUwQBPjA+JpQHwSimdCxWgB1IC4FogvDNKAMwbiw+iCBtCAQwd7gdgPie8DFaMFWAzEaUD8fxCnusPQAISDLiDOQVMUCsSTsGieAMSRJFpoCcT7iVRLScCRYg85IA+9DtgBxLZoitYAsRsWzY5QOVI8shfKplXAEWuPOLS4eQ7EH4B4AxDbI8lzAXE5NPcdBOLdQKyBZg9KjvsExGxolrzDIsYAFXtJgwAjJ+BIsUcWmkBCoZEPCqBfUPvioQX/OSBOBmImqB5BIF6HxGeDhhUc/MFi0R88jvhFwCP7yQgwUgKOHHsmYanYoqH2/QDiK9AKCh0EAbELLr+TGnA/8Hi6iMJy5D+RakixB5RiGnHIzYWadwaHPCjgzHEFHLas+hJHVuXAk1UHa4pjwRFwgtC261OovT1Y1MxGK6ZQsiqoELTGUjl4YDHIjYjKgZIAJKeMI8YeUHNHBc0foFTmBfX7N6jd06ByPlgqTYzKAVtzJAgttGFgPgnNEeTC25xOtSoue0SBeCk0hZ2BNivEkeRBtedCaOr7AE0cOmhm5EDDimADGOSYAmhSByXTamg1TY7HdtOpHbebgXYAowHMAI0JPSxlwFxoZfAN2gbioZGj/mPBg77LRa1O/g8CmFqAXvYQ1ckHgYzRYSWsoAvaj4YDACLCnU1WUEUiAAAAmnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4oPC9tbz48bW4+MDwvbW4+PG1vPiYjeDIyNjQ7PC9tbz48bW4+MTwvbW4+PG1vPiYjeDIyNjQ7PC9tbz48bWk+JiN4MjIxRTs8L21pPjxtbz4pPC9tbz48L21hdGg+OPbZrQAAAABJRU5ErkJggg==)
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)
A sphere of mass M and Radius R2 has a concentric cavity of Radius R1 as shown in figure. The force
exerted by the shpere on a particle of mass
located at a distance
from the center of shhere varies as ![left parenthesis 0 less or equal than 1 less or equal than infinity right parenthesis](data:image/png;base64,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)
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)
physics-General
physics
The gravitational force Fig between two objects does not depend on
The gravitational force Fig between two objects does not depend on
physicsGeneral
physics
Two identical solid copper spheres of radius R are placed in contact with each other. The, gravitational force between them is proportional to
Two identical solid copper spheres of radius R are placed in contact with each other. The, gravitational force between them is proportional to
physicsGeneral
physics
What is the relation of the transistor current?
What is the relation of the transistor current?
physicsGeneral
physics
Which of the following the correct relationship between two current gains
and β in a transistor?
Which of the following the correct relationship between two current gains
and β in a transistor?
physicsGeneral
physics
The current gain of a transistor is 100 . If the base current changes by 200
, What is the change in collector current?
The current gain of a transistor is 100 . If the base current changes by 200
, What is the change in collector current?
physicsGeneral
physics-
A tank contains two different liquids which do not mix with each other as shown in figure. The lower and upper liquids are at depths
and
respectively. An object O is located at the bottom. When seen vertically from above, locate the position of image of O.
![](data:image/png;base64,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)
A tank contains two different liquids which do not mix with each other as shown in figure. The lower and upper liquids are at depths
and
respectively. An object O is located at the bottom. When seen vertically from above, locate the position of image of O.
![](data:image/png;base64,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)
physics-General
physics-
Two identical solid copper spheres of radius R are placed in contact with each other. The, gravitational force between them is proportional to
Two identical solid copper spheres of radius R are placed in contact with each other. The, gravitational force between them is proportional to
physics-General
physics-
A light ray is incident perpendicular to one face of 90° prism and is totally internally reflected at the glass-air interface. If the angle of reflection is 45° We conclude that the refractive index.....
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)
A light ray is incident perpendicular to one face of 90° prism and is totally internally reflected at the glass-air interface. If the angle of reflection is 45° We conclude that the refractive index.....
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)
physics-General
physics-
A ray falls on a prism ABC(AB=BC) and travels as shown in the figure. The minimum refractive, index of the prism material should be.
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)
A ray falls on a prism ABC(AB=BC) and travels as shown in the figure. The minimum refractive, index of the prism material should be.
![](data:image/png;base64,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)
physics-General
physics-
Two parallel light rays are incident at one surface of a prism of refractive index 1.5 as shown in figure. What is the angle between the rays as they emerge ?
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)
Two parallel light rays are incident at one surface of a prism of refractive index 1.5 as shown in figure. What is the angle between the rays as they emerge ?
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)
physics-General