Physics-
General
Easy
Question
In the circuit shown, the currents
are
![](data:image/png;base64,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)
The correct answer is: ![i subscript 1 end subscript equals 0.5 A comma blank i subscript 2 end subscript equals 1.5 blank A](data:image/png;base64,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)
Related Questions to study
physics-
The resistance is connected as shown in the figure below. Find the equivalent resistance between the points A and B.
![](data:image/png;base64,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)
The resistance is connected as shown in the figure below. Find the equivalent resistance between the points A and B.
![](data:image/png;base64,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)
physics-General
Maths-
The cosecant function whose period is 4 is
The cosecant function whose period is 4 is
Maths-General
Maths-
Sine functions whose period is 6 is
Sine functions whose period is 6 is
Maths-General
physics-
Which graph represents the uniform acceleration
Which graph represents the uniform acceleration
physics-General
physics-
An object is dropped from rest. Its
-
graph is
An object is dropped from rest. Its
-
graph is
physics-General
physics-
In circuit shown below, the resistances are given in ohm and the battery is assumed ideal with emf equal to 3V. The voltage across the resistance
is
![](data:image/png;base64,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)
In circuit shown below, the resistances are given in ohm and the battery is assumed ideal with emf equal to 3V. The voltage across the resistance
is
![](data:image/png;base64,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)
physics-General
physics-
The resistance across
in the figure below will be
![](data:image/png;base64,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)
The resistance across
in the figure below will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAO4AAAB9CAMAAACSwq/9AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAALiUExURf////z8/Ofn59HR0c/Pz9XV1ezs7Nzc3FxcXCMjIyQkJHd3d/39/bi4uCUlJaysrMbGxmxsbDY2Nvf396+vryIiIu7u7piYmC4uLvX19bKyst/f34+PjzIyMpCQkDMzM/T09PPz85GRkTQ0NPLy8pKSkjU1NfHx8fDw8JOTk+/v7zc3N5SUlO3t7ZWVlTg4ODk5Oevr65aWljo6Ourq6unp6ZeXlzs7O+jo6Dw8PJmZmebm5vr6+v7+/uDg4Pb29vn5+dvb297e3s3NzZqamj09PeXl5dLS0uLi4uTk5ICAgIuLi2hoaN3d3aampmNjY39/f4aGhmFhYVlZWZ6ennV1dc7OznBwcH5+fpubm9fX17GxsbCwsB4eHtTU1BoaGhUVFcfHx9bW1goKCr6+vtnZ2T8/PxAQEMHBwRkZGcDAwDAwMEBAQMnJyX19fV9fXwAAAIiIiC0tLba2tqmpqWVlZcrKyk9PTxISEg4ODjExMeHh4b+/vwQEBLe3t7y8vCsrK52dncXFxZ+fn/j4+ExMTA0NDVRUVKGhoWtra2lpadPT02BgYFtbW4WFhfv7+8LCwq2trXFxcRQUFG5ubhcXF4KCgtjY2ElJSS8vL0pKSqenp2dnZ9ra2qqqqmpqahEREYmJiXl5eURERFpaWrS0tFZWVoODg0hISFdXV1BQUB0dHW9vb0FBQUtLS3p6ent7e4yMjK6urlJSUoqKioeHh4GBgU1NTSwsLOPj48TExHh4eF5eXnZ2dhYWFnx8fKWlpaioqMzMzFFRUbu7u0NDQ9DQ0GRkZKOjo05OTmJiYqSkpG1tbaCgoMvLy0JCQsPDwyEhIRwcHLOzsxMTE1NTU1VVVVhYWF1dXT4+PsjIyI6OjkZGRnR0dHJycicnJ2ZmZqKioqurq42NjXNzcykpKSAgIJycnEdHR7W1tSYmJhgYGISEhBsbG7m5uQgICLq6uioqKigoKEVFRb29vQAAAHt3IkUAAAD2dFJOU///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////AEo/IKkAAAAJcEhZcwAAFxEAABcRAcom8z8AAAX6SURBVHhe7ZxBcuMgEEW9Zw1b7sEduIu5EEUVN6E4A+s+yvxGciLJ4CRVI+TJ8OwYO1EbmuY3IKlym0wmk8m/iLIppeE/aq19NLYEKeXoHynW6keTpUdvj0bItfrReHnFuDJXuZulXd+N5DJ3/SXuOr2+Gc1V0b0oNc/oDuDC6F5R8XXRDZdEV/9n0b3I3Yu0e110Z2Y+nTnvjmFqdwAzM49hRncAM7pjmNEdwGXuzugOYGp3DFO7A5jaHcOM7gCmdscwozsAo6+oFczoDmBqdwxTuwOY2h1DJ7pKLe1Ryw1fa/El62FpVzTYufswWhqyFifRia4Sjn+vHNXCl+81YrUqjj1IxddfNthp11DiggQbqWL4w18heX9stg/NEKQQuA1J3jMKq+unL1E68OFZRhyuXKgOtDBx85dyd3hNWrOtkdQzOpK9748foEq4l8MBneimcOfQ5CANDJLUXOxZh/sWu7TcFY0QKYpL2Bpso6voTigM1TsHnS7sdZN9hVmHILvjh783OBG4PRvssx9AmcgOKheFQMPQ5VzsyU+jTnkKaLItTnMRqdvyrXYzSY4BiVjwFTDquZCqRB6kKB2F2O0bDDVtk4zrpwctb29WCBLpZsnl6OF1Mc8td8dvYulGaN3KLFAk7cuhbz8w8bP3jCgl3ZT0BoXVhjjWLfJuss6BFOtl/bgnk79Zjmx5bmQDOOkp33xMCuMykbEaXu8DLJ6u0apoXLWybAyXijgarfiNbRFeoI6YE9qYYxLUMcq7NGM4TVjZ7Bt0Q0EH4gB3L7HwswfVp1NKOwRQccJEG1R0ymjYfRrrsJQVmBRhXbJkFMY/52YnOK/nyDbHKtl2qYisyRhLODTdiJTB55IyGfo0e1jG+/oGUNFVD+3oeaELusKxfgnHcutqdfXBzwf8Ft6ie6Oz6GieJjiPCpGFXo+vhiTDh0F9LQLJSxFZnkqK4GnIk3FyMeHH4w0R3OUSL+ga1gVko5DiuICvJmKErwfXB79QhNEK3mjOsQpuPaO4ybeblinL1t+bCOEwupB4hIONR8v2OaShXSCK18jHjgwKSxHjtIHfr6q8zjwL+WJYMyKKpubz7oaOHIqyIghrjDlMAOgtiixsKuHbsziPCP7+WGu3RdYVxyei6a4pqKn2DjzisdSciw6LyAwjHJdEkSjEvZ3R97eA2cLelOyC1PuWYb6Vgb8PA/D7d8VbuteR4GStvdTZcUP7dpJUIi8uLNXlgrtv1xOf5P13WdJ8tHKSk6+5t/dLhyWCjeyU5eHDo/AD5UWyBrkSGa/5PR3WkYDxz00WdQWx4TkzM4o4IcLRamyQIVsclijws1bl7+x1Du3Z47i8hzcKAsAkJrajwbIuUltEr/B1AYyWVz+T234n6NwslJeVY67rEmteLHs2pGU4IrXjVfl2U5sLQC8lVp/b3rMen9TPdxqPEDRWi0xbu48588N4Kb7iO0bN2zedNs6YH/v2c4bfCtaKLnZueNlp9yTa2j2R1tYcmdE5WlV3Km8R3SS01psF+Hl0tHse19x6/eAtojuOt9DuOH5jdBN2I52TZb9Ru0Zj19le5v/C6FrHE7hphvcXahfbbewuDhvdlV8Y3SSxdVx2K09coN2z3c06p9g5z/37oqsMtqumsyK9QLsnZ2YlsHlVpb1FfxFdJUrkM84/An0bIzbrXU6Prs1cezsxv9JuhrOlf0GsTYqaqDQvaiy87arK8OWN/MNtmV+M+uEdsKp6QV+70IBPXrwIVAtHPudXRm8bXT7z2b/a2YHY6NV15Iuj29Wu1caK9hnXPioK+/oOlXfd76aYb2l3MvQb8LUWK/gsYo831a7iuw+U2F8o+ArFFw33NzEceVftJr6HYH/x+WsSnyy2r7L5u2r3JN42M5/Du867JzHPRA5kavdc/jvtzugO4wLtzsw8jKndc5nz7kCmds9lZuaBTO2ey5x3BzK1ey4zMw9kavdcro4u/8v/gbhLtZsj/8f/B+H8p/zpVba/i83p85H45+TnlWN5MplMJpPJZDKZ/Fvcbn8AhOi+kwc93WAAAAAASUVORK5CYII=)
physics-General
physics-
Five equal resistances, each of resistance
are connected as shown in figure below. A bettery of
volt is connected between
The current flowing in
will be
![](data:image/png;base64,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)
Five equal resistances, each of resistance
are connected as shown in figure below. A bettery of
volt is connected between
The current flowing in
will be
![](data:image/png;base64,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)
physics-General
Maths-
If
, then the period of f(x) is
If
, then the period of f(x) is
Maths-General
physics-
The plot represents the flow of current through a wire at three different times.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARUAAAEdCAYAAAAivfOPAAAgAElEQVR4nO3d53Mb550H8O92YNELSRAg2ItlOZZ77DjxJHMzeXP/6724mXtzM1ccXxzbcWzLEkWLvYAEARBEXyy23gvNbigZkliWwi74+8xoXERRD7G73336w9i2bYMQQjzCjroAhJDxQqFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8dauhYlkWLMu6zb+CEOIz/E3+8LDTPRiGee73DcOApmlgGAaSJIHjODAM89zXEULGx41DxamNcBwHln2+4sOyLFRVxQ8//ADTNPHgwQOkUimwLEuhQsiYunaoOIHS6/XQ6/UQjUYRjUZ/VVNpt9v47rvvoKoqMpkMRFFENBr1pPCEEP+5UagYhoF6vY7j42MUCgWEw+HnmjaDwQDVahU//fQTms0mVldXEYvFEA6HwXGcZz8EIcQ/rt1Ra5omer0eFEWBYRiwLOtXfSztdhsnJyeoVCo4OTnBzs4OqtUqTNO8ccEJIf507VDRdR2NRgPdbhcsy4Jl2V+FSqPRwOHhIRRFQb/fx+HhIWq1GgzDuHHBCSH+dO3mj67rODk5wcHBAQaDASKRCPL5/HNfc35+jv39fTSbTSiKgvPzczSbTaiqikgk8quOXUJI8F37qTYMA61Wyw2KwWDwq69pNpsol8vodrtQVRXNZhPNZhPdbhe6rt+o4IQQf7pyqDhNHNM0IQgCkskk8vk84vH4c00gVVXRarXQarWg6zo0TUOz2UStVkO9Xoemad7+JIQQX7hWqBiGAV3XoaoqWJZFIpFwR36AZ6M+9Xod9Xod7XbbDZXz83NUq1XUarWhNRtCSPBdq/ljmiY0TYOiKLBtG5FIBJIkuaGiKArK5TIqlcpzNRUnVM7OzihUCBlT1+6o5XkeqVQKDMNgamrKnfhm2za63S5KpRJKpZIbILZto9Vq4ezsDOfn5xQqhIypK4cKwzBgWRbhcBj5fB48z2NiYgKyLINhGFiWBUVRUKvV0Ol0YNu2O8ojCII7C5dChZDxdK2aCsMwiEajWFhYAMMwEEURgiC4zR/TNKGqKpLJJBYXF2FZFgzDwOzsLPL5PAzDcGsvzvcjhIyHa4UKy7IQRRGhUAjAs85bp+kDAKFQCLlcDgCQTqfR6XRgGAY+++wzFItFTE9PQ5ZlWJZFc1UIGTPXav68WLN48b9TqRTef/996LqOw8NDPH78GP1+H7///e+xtraGeDyObDZ7s5ITQnzpRlsfvMgJHFmWwfM8LMvCYDBAOByGbdvIZrOYnp5GNBp9brSIEDI+PA0V4J9NI57nYRjGc5sy8TwPURQhSRJ4nqdQIWQMeR4qTlBwHOeO/DgjRhd/UaAQMp7eSC+pEyC0jSQh4++ND70M29eWEDI+aDyXEOIpChVCiKcoVAghnqJQIYR4ikKFEOIpChVCiKcoVAghnqJQIYR4ikKFEOIpChVCiKcoVAghnqJQIYR4ikKFEOIpChVCiKcoVAghnqJQIYR4ikKFEOIpChVCiKcoVAghnqJQIYR4ikKFEOIpChVCiKcoVAghnqJQIYR4ikKFEOIpChVCiKcoVAghnqJQIYR4ikKFEOIp/rJfaNs2LMuCrutQVRW2bUOWZQiCAJalbCKEPHOpULFtG4ZhQFEUtFot1Ot1mKaJdDqNVCqFRCJBwUIIAXDJULEsC91uFwcHB9ja2sLp6SlUVUUkEsE777yDTz/9FKIo3nZZCSEBcKWaiq7rME0TADAYDNBqtZDJZNDr9cDzPBiGAcMw7p+7+N/Ov7/4NYSQ8XLpPhVRFDE3N4dcLgdFUVCpVLCxsQGO49BoNCAIAmRZfi4wWJZ9acgQQsbTpUKFZVmEQiGEQiHYto3BYADbtnFycgJBEGCapluDsSzL7X8ZDAY4Pz+HruvQdR3NZhPtdhscxyEcDvu2H8apmfX7fZimCdu2AcDXgWjbNmzbBsdxkCQJoiiC47hRF4vcQZcOFUmSAACGYUDTNHAcB1mWEQ6H3RvYGSFqt9s4OTmBoig4Pj5Gv9/HYDDA6ekppqamwHEcBEHwbT+MaZpot9s4ODiAqqoIhUK+r2VZlgVVVcHzPNLpNDKZDFKp1KiLRe6gSzd/HCzLwjRNWJaFSCSCRCKBVCqFcDgMhmGg6zrOzs6wubmJVquFSqWCbrcLXdexv7+PdDqNcDiMWCzm21DRNA2Hh4f493//dwwGA7z99tsQRRGWZY26aEMxDIPBYIC9vT3ouo5isYiPPvoIH3zwgW9rg2R8XWmeCsMwME0TqqrCMAwkEgmk02nIsgyO43710DEMA5Zl3RrMxU5bP9M0DWdnZ3j48CF4nsfa2pr7czhNIT9wPkcn6KvVKiqVCk5PTxGPx7GysoJYLOb7WhYZL5ce/XFqJ4PBAN1uF4ZhYGJiAvF4HJZlwTRNMAwDURRRLBaRTCah6zp2dnbwf//3f1AUBe+99x7effddZLNZhMPh2/7Zrs3pH4pGoygUCvjDH/6ARCIBXddHXLLhOI5Dq9UCy7L44YcfcHR0hP39fZRKJeTzeUSjUXd0jpDbdumaimEYKJfLODo6Qr/fB8MwaLfbbvMnmUy6NZZIJIJIJALTNNHpdBAKhWCaJrLZLDKZDKLRqK87EZ1aGc/ziMfjmJ6ehizLoy7WK8XjcTx48AAcxyEWi2EwGOC7777Dp59+ipWVlVEXj9whlw4V0zSxv7+Pb775BrFYDLIso9frIZ1OY2lpaeiQstNcYFkWHMcF5k15sZnmtybPy/A8j4WFBSQSCSwsLOCbb77Bd999h0KhgPn5+V8N7xNyWy49o1bTNMiyjJmZGfA8D0mSEI/HkclkMDEx8atAAfCrOSov/r8gCFJ/hK7rsG0biUQChUIBiqLg7OwMW1tbWFlZ8XWTk4yPS/epAMDk5CQkSYKu6+4wczKZRDqdhiRJv3r4Lr7hnX8Pwlv/RUEos2maqNVqaDQa4HkeuVwOsiyjXq9jc3MTmUzGHc4PSkiSYLpUqDj9JJIkIZPJuKM8znwTZ6Uy3ayjY5omTk5OUCqVIMsy5ubmMD8/j2+++Qanp6fY3d0FwzDI5XJ0ncitulSoOKM6fp1XQv45Ya9er0PXdQiCgOnpaUxNTaHRaGB7exscxyGdTiMUCo26uGSM0cyoMeLMC+I4DizLQhRFLCwsYHp6Gvv7+9ja2kK32/XtJD4yHq48o5b4kyAIWFpaQjKZhCRJyGazYFkW6XQaMzMzODw8hK7rODo6AgCkUilfD+uT4KJQGROCIGB+fh7T09NgGAayLMO2bUQiEeTzeayuruL8/By7u7sQRRGRSMRd00SIl6j5MyZs20a/30e324WiKNB13Z3Al0ql3Cn7pVIJtVoNmqZRM4jcCgqVMWGaJiqVCvb393FycoJ2u+3+XigUwtTUFNLpNGzbxtnZGU5OTny77IAEG4XKmHBWga+vr2N7exv1et39PZZlEQ6HMTU1hWKxiHq9jp9//hmKooywxGRcUaiMEdM0YRjGcxtLOTiOQzabxcrKCliWxeHhIXZ2dtBsNmEYxohKTMYRddSOCWcOymAwQCwWQyQSee73bdtGMpmEKIrY2dlBpVLB+vo6TNPEO++8g2g0OqKSk3FDoTImBEHA8vIypqenwfM8ksnkc7/vrGGSZRn379+HZVl4+PAhVFXF7OwswuEwDTETT1CojAmWZd3d9BiGgSRJ7hYOwPMLOmdnZ6FpGh4/foxGo4FqtQpZlhGPx2mnOHJjFCpjwpnY1mg0IIriK/eAEUURU1NT+Oyzz1Cv13FwcABRFN39hmnuCrkJei2NCWc7yYODA5TLZXS73Zd+rVOrWV1dxdTUFOr1OiqVCtrttrvrHSHXRaEyJkzTdI+kbbVaUFX1lTUOp7aSTqeh67obLIPB4A2WmowjCpUx4SwmdPpEXteEceauxONxJBIJNBoNbG1tod/vv4nikjFGoTImWJZFKpXC5OQkMpnMpXd5i8VimJmZgW3bODw8RLVafelcF0Iugzpqx4QzpJzP58FxHBKJxHOjPy+TSCSwurqKRqOBX375BQ8fPoSiKFhdXUUsFntDpSfjhEJlTDAMA47jIIqiuxvf6wLFtm2IoohsNou5uTk0m03s7+9DURRMTk4iHA5DEIQ39BOQcUHNnzFhGAZOTk6ws7Pz2tEfx8XDyBYXF/Huu++i1+thZ2cHtVoN/X6fmkDkyihUxoRzLtPe3h5OT08vFSoXOfuufPjhh5idncXBwQGOj49vqbRknFGojAnbttHpdNBsNtHtdqFp2pX+PMMwSCQS+Pzzz/Huu++iUqng6OiItp8kV0ahMiZ4nne3NnDOYbrO93DOcRJFEdVqFRsbG2g2m7dQYjKuqKN2TPA8j3w+765QvuqqY2ekyJltm0ql3IPI0uk00un0LZWcjBsKlTHBcRwmJyeRTCbBcRzC4fClhpQdF78uHA6jUCig2WyiXC7j7OwMuVwOoVAIPE+3DHk1av6MCdM0Ua/XUS6XcX5+fqOZseFwGDMzM5ienkYoFMLp6Sn29vagKAqNBpHXotfOmNA0Dbu7u6hWq5iYmHBn2F6Hsy5ocXERmqahWq1C0zQkk0nIsky1FfJKVFMZE5ZlodvtotlsPreb/nU5fTQrKyvo9XrY29tDp9OhrSfJa1GojAnnOA5nRq0Xu7jFYjHk83mk02lYloVSqYRqtUpNIPJKV67H2rYNy7Jg27Z7KDtt6jN6HMdhamoKkiQhnU7/ao/a65IkCR9//DESiQR++uknqKqKXC4HURSv1BFM7o4rh4ppmjg+Pka73XZv4Gw2extlI1fAcRwymQwkSYIsy5Ak6cbf07ZtCIKAubk5aJqGX375BaVSCU+ePMHs7Oy1+2zIeLtyqOi6jq2tLezs7CASieDevXvIZDL0xhoxlmURCoVgWRYEQfBsr1mWZSHLMnK5HBYWFnB8fIyvv/4atm0jHo9Tpy35lSvfeU6Vt9/vY2dnh9aH+IRhGKhWqyiVSqjX655stnSxaRuLxbC8vIxUKoV6vY5arYZ2u02nHJJfudbrLBqNQpZlNBqNK0/hpj6Y22GaprugsFKpeHb6oHOtJEnC3NwcisUiZFlGp9NBpVKhlczkV65cd2UYBslkEtlsFuFw+FLVbKd2w/O8p1Xz2yIIAnieD1T4XdyjNhwOQ1VVT78/x3FIpVJYXl6GZVlotVo4ODhAIpFAJBKhM4OI61qhIkkSwuEweJ6/dECoqopKpYKDgwPIsvzcTeiXNx3LsrAsC41GI3CbQHMch2QyCVVVkUgkPOmofRHLspicnISu6/j+++9xeHiImZkZN1gIAa45o9ayLHdY+VUuvulbrRbW19dRr9fBcZzbDPJLoAD/DJVut/vcRkd+KuPLiKKItbU1FAoFyLJ8ayMzoVAImUwGhmHg9PQU5XIZqVQKsiwHqmZHbs8b67pXVRUnJyfu0RF+vAEZhoFlWVAUBY1GA5qm+b6p5nCm5UciEfA8f+UFhZfl1FSz2Syq1Sp2dnYgiqK7XQLNXSE3CpWrrIC9eOymU1Pxm4vHXPg1+F7Gtm0YhgHDMMCy7K3WrjiOw+zsLBRFwZMnT7Czs4OVlRVkMhm3SRykz45460qh4tyoHMe5N8+rbiDn623bRiqVwkcffYTFxcVLd/C+aRf7VDY3N3F+fn7lHdRGRdM0bG1t4fz8HOl0GsViEYVC4Vb+Lp7nMT8/D5ZlUa1W0Ww28e233+Ltt9/G4uIiddrecVcKFSc8ut0u6vU62u02Op0Out3uazcFkmUZ8/PzePvttxGNRn05aepiqAiCgN3dXaTTaV8G4ItM00SlUsHJyQkMw0A6nb612gLHcZBlGcViEW+99RY2Njbw5MkTxGIxFIvFwI2cEW9da/SnVCphY2MDpVIJiUQCh4eHmJube+UIgNO04Hne/eW3jlqnjLIso1Ao4PPPP3er9EFg27b7eb6JhzocDuPjjz+Gruv4j//4D1SrVfT7fUiSRLWVO+zKTwvLskin01heXkYymUQ+n4coiq/9cxf7Ky72qfjtjeZ0RGYyGbz99tsIh8OBeECcIWXDMJBKpRAKhW7972RZFpFIBIVCAcvLy7BtG/v7+1haWkIymbz1v5/407VCZXFxEZOTkzBNE5IkIRqNQhCEl/b8X/x/F9+mfsUwDARBQCQSgSiKvgu+YZztJGVZRjKZfGPzRizLwsTEBD777DMcHBxgc3MT0WgUoVAIkiQF4rMj3rpWqMRiMYTDYXeExKl9jIvBYICTkxN8//33mJiYwB//+MdL1cZGyTnqVBTFN3qyIMMwiMViKBQKKJVKKJfL2NraAsdxmJ+fD0zTkXjnyj2QDMO4N244HIYkSYGYen8Vuq6jXq/jxx9/xNOnT2Ga5qiL9Fq2bUPTNAwGAxiG8cZqg05zMZFIIBaLgWEYHB0d4eDgwF1s6PeaKfHWtZPgYp/IxV/jwAlIRVE8X0NzW3Rdx97eHjY2NlCtVj1bUHgZTnOxUChgYWEB7XYbpVLJXeZgmiYFyx1CddMhOI5DLBbD0tIS8vl8IGphpmni/Pwc1WoVqVTqjW9JwHEcpqen3S0Y+v0+dnd3USwWqdP2jqFQGcLZRe2zzz5DLBYLTH+R0wl+mXVZXmMYBvF4HIuLi6jVajg4OMDDhw+haRoePHjwxvp4yOhRqAxhmqb7kARl9a0gCFhYWEAmk0Eul7vyCYVeCYfDWF1dRa/Xw1//+leIoojFxUVIkhSIGh+5OQqVISzLgqqqaDab7pvf73iex8zMDDRNQyQSudZZyl7J5XKYnp4GANTrdZRKJbczl4w/enW8RKvVwvfff4+NjY3AdDI6Q/ujXtBn2zampqbwpz/9CdFoFP/4xz9weHiIwWAQiJE0cjNUUxnCNE10u13s7Oy4e8f4nWmaqFar6PV6yGaz7kbYo5JOp/Huu+9CVVWsr69jZ2cHkiShWCwiHA6PrFzk9lGoDGGaJlRVRbfbRb/fD0SoOKuUq9UqVlZWIIriyEZdWJZ15zHl83kcHR1hd3fXXehIoTLeqPkzBM/zyGaz+PDDD7G2thaY0R9d19/oxLeXudj0mpycxPz8PDiOQ6vVgqIovigjuT1UUxlCkiTkcjn87ne/c3dS8zuWZZFIJGBZFmKxmG+WFTibZbdaLbfzOxaLIR6PByasydX4/2kZAWc7xmQyiVAoFIihUGdIeWpqCul0eqSjPxdFIhHkcjnMzc2hXC7j8PDQXT9GxpP/n5YRcPapPT4+Rq1WC0SfivOgJpNJd7sGPzQxGIZBNBrFzMwMUqkUjo6OsL+/j1arRSNBY4pCZYh+v4+joyP813/9F77//vtAnMLnnALQbDbR7Xah67qv1mJNTk4ilUqhWq1ie3sb+/v76PV6oy4WuQUUKi8xGAxwenqKer3uizf+6zhHZhwdHaHRaPjqzKKLO/Cvra3Bsiz87W9/w97enru0IAifMbkcCpUhOI6DJEmQZTkwGw05e9SWSiU0m03fhYpt20in0/j973+PiYkJPHr0CE+fPkWtVoOqqhQqY4Q6aofgOA7ZbNbdozYIoxQXH0o/vvkZhnH331lbW8PZ2RkqlQq+/fZbfPTRR8jlcqMuIvEI1VReIhKJYHV1FbOzs4EY/XFWVk9NTSEej/tmSNlxcePzhYUFvP/++7BtGzs7O2g2m4HotyKXQzWVIUzTxGAwgKIovhlFeR1RFHHv3j1omgZZln29ujqRSGBlZQW1Wg21Wg3tdhvtdhuZTCYQTU3yav5/BY+Abdvu2p/j4+NADCk7O+9xHAdRFH09YU8URaRSKRQKBWQyGZydnaFcLgdmlz3yahQqQ9i2jU6ng59//hnb29uBqKkYhoGTkxMcHh6i0+nAMIxRF+mVnK0aCoUCarUa9vb20Gw2A3MiJHk5/77ORsg0TSiKglqt5k599zvDMFAqldButyHLsvvLr3iex8TEBHq9Hr777js0Gg1ks1lIkoR0Oj3q4pEboJrKELZtg+d5JJNJRKPRQLTzTdNEp9NBs9mEoii+7/h0VjInEgmEQiH0ej3s7OygWq2OumjkhqimMoSz78e//uu/IpFI+Lp/wsFxHFKpFHie9+Xoz8vE43F8/vnnePToEba3t93tMGVZBs/zgRh5I8/z/9MyAs6DOTs7G6gFhcViEaqqIpVKQZKkURfpUkKhEJaXl6EoCk5PT1GpVLCxsYHl5WVkMplRF49cA4XKECzLukdeRKNRd79VPxMEAfPz8zAMA6IoBmb3ep7nwfM8FhcXMRgM8OTJE3z77bdIJBLUtxJQ/n8Fj4CmaahWq/jHP/6Bp0+f+n4kBfjn2p/j42O02+3AjaIkk0ksLCwgHo9DURRUq1Wcn5+PuljkGqimMoSmaTg7O8OjR4/Q7XYDsURf13Vsb2+j3W7j3r17kCTJ1xPgXuQsOMzn8+h0OqjVaiiVSojH44FpypFnKFSG4HnenUDG83xgRn/a7TYajQb6/X4galcvEgQBi4uLYFkWW1tb2NzcRDqdxtTU1Eg38SZXQ82fITiOQyKRwOrqKorFYiAWFALP+oJGfTzHddm2DZZl3V3iGIZBtVrFwcEBzs/PAzEBkTxDNZUhWJZFNpvFF198gUgkEohQcRYUiqLoDscGCcMwbs0wmUwim83i6OgI29vbiEQimJqaCsR1IBQqQ1mW9Vw/ShDeks7oT9CGlIeRZRkLCwvQNA3Hx8doNBpQVdUd3g9iTewuoVAZwjAMtFotbG9vI5vNolgsjrpIr8XzPCYnJ2GaZqCGlIdxtkfQdd1dxVypVDAxMQFZlqnG4nPUp/IS3W4X6+vr2N3dDcTaH2f0Z2NjA+fn54EbUr6I4zhEo1EUCgXcu3cPjUYD//mf/4lyuUyBEgAUKkPYto1+v49yuYxarRaI5o+u69jf38fm5ibq9bqvtpO8DpZlkU6nsby8DMuysL6+jqOjIyiKEojrcZdRqAxhmiYsy3IPPA/CTWyaJnq9HtrtNnq9XqBrKg5RFJFOp5HJZBAKhbC/v49ffvllLH62cUZ9KkPwPI9UKoX33nsvMKMOzjA4wzCBHP0ZxtmFf3FxEd1uF+12G1tbW+6iQ1EUqdPWh4J/590CQRAwPT2NL774IjAPqCAImJ2dxWAwwOTkpK/3Urks27bBMAxWV1eRTCbxP//zPzg+Psbu7i4YhsH09HSgO6THlf+flhHgOA4Mw0BV1UDUUoBntatCoQDDMBCJRMbiYXM2y5ZlGRMTEygWizBNEwcHBwiFQpiYmBiLn3PcUJ/KEM4etVtbWzg6OgrE6A/wrNzOHJuglPl1nOZNKBTC/Pw88vk8Wq0WarUa+v1+INZl3TUUKkP0+32cnJzgb3/7Gx4/fhyIdTT9fh9///vf8eWXX2J/fx+dTmfURfKEEyosy2JqagqFQgGyLEPXdbRarcCPco0jCpWXMAwD3W43MEOYzgmFJycn6HQ6vt9O8qoYhkEkEsHExATy+TxM08T29jZqtRrVVnyGQmUIURSRTCYxPz+PXC4XiH4Vp+8hGo0iFAoFonP5qhiGQSwWw/LyMliWxU8//YSDgwMoijI2zb1xMH53ngdYlkUmk8Fvf/tbJBKJQIQKx3HI5XKIRqOIx+Nj2YHpHJ06NTWFw8NDGIaBnZ0dSJKE3/zmN5Bl2R0xIqNDofIS4XAYS0tLCIVCgbhJeZ5HPp/HYDBAMpmEKIpj+YDxPI9oNIpcLodcLodarYbHjx9jZmbGDRUAY/dzBwmFyhCGYaDRaGBzcxOpVArJZNL3tRWO45BOp2GaJmRZhiAIY/tgsSzrnnH95ZdfolwuY3t7261hBuUkgXFFoTKEaZpoNptYX19HPp/He++9N+oivZZlWWi329B1HaIojvWDxTAMEokERFHE0dERdF3H3t4eBEEI1PEk44pC5SVUVcXh4SFYlg1EJ+BgMMCPP/4IRVHw6aef3onZpqIo4oMPPkA0GsVXX30FhmGwtrYGWZbHtpYWBDT6M4QziQz458HnfufsUdtsNjEYDAIRhNflXA+nyZfL5RCLxaDrOiqVytjM0Qkqqqm8hCRJyOfzmJiYCESoOAsJbdv2ff+Pl5z5K4uLi2i32zg4OIAoigiHw2NfU/MrCpUheJ5HLpfDH//4R8Tj8UDM+RBFEcvLy+7oz115oFiWRTQaxeLiIra2trC7u+v2raTT6UBcu3FDzZ8hBEFwTybMZDKBqKnwPI/p6WkUi0VEo9E78zA5c1fy+TySySR6vR5OTk5QKpXQ7/dHXbw7iUJlCIZh0Ov18PPPP2NraysQ0/SB4PT/eI3necRiMUxOTmJ6ehqtVgsbGxvodrsAno2MBeUajgMKlSF0XUe9XsejR4+ws7MTiAWFhmHg6OgIe3t77tDyXcIwDCYmJvDWW28hFAqhUqng9PQ0MCdMjpO7UUe+IlVVUa/X3c2AgnBTDgYDbGxsoNPpIJFIIBKJ3LlT/dLptBsozWbT7bSdm5u7M81BP6BPeghBEBCLxTA1NYVUKgWWDUaFztnUiOO4wJTZa6FQCKurqzBNEzs7O+j1eshkMgiHw3dqVGyUKFSGEEURmUwG77zzDjKZTCBuRp7nMTExgWg0eufPxpmdnXV34D88PES1WoUsy4jH46Mu2p1AoTIEwzBIJpP45JNPAvOGEwQBq6ur0HUdiUTizlb3WZaFIAhIJBJYW1tDtVrFxsYGWJbFvXv3AnEtg+5u3nmvYZomdF1Hv98Hy7KBGDlw9lMxTXOsFxNehjN3ZW1tDTzPo1Qq4ejoCNlsNvBHwgbB3Wx4v4ZhGKhUKvjLX/6CH3/8MRAdtZZlodlsotFo3LmRn2FCoRAWFhYwOzsLADg9PcX29jZN4X8DKFSGsG0bigO+KfQAABEgSURBVKJgb28P5XI5EOtodF13h5S73W4ghsFvE8/ziEQiyGazyOVyME0Tx8fH7tyVINQ+g4pC5SUsy4KqqoHZWNkwDFSrVZTLZfR6vUDUrm7LxUmA8Xgc8/PziEQiaDabaLfbUFUVpmlSsNwSCpUhbNuGKIrI5XKBmabvnOYnSZI7nEwPDSDLMmZnZ92FobVaDeVyGYZhBOK6BhF11A7Bsizi8Tju37+PTCYTiDkfznaSqqq6Q8r00DwbFUulUsjn8+h0OiiVSlBVFZFIBKIoBuLaBg2FyhA8zyObzeKTTz6BJEmBGIaUJAlra2swTRORSOTODikPw7IsisUiLMvCv/3bv2F7exvFYhGxWAzhcHjUxRs7FNNDcBwHXddRKpVQrVZHXZxLsW0bqqpCVVUAtPHzRSzLumcGzc7OIhQKueu6nCYiNRW9Q6+zIWzbxvn5Of7yl78gn89jaWnJ97UVXddxeHgITdMQCoVon9YXOJs5ffLJJ3jy5AkePXoEQRAwPz/vHmZPQewNCpUhVFXF2dkZdnZ2YFkWDMPw/UNqGAZKpRJ6vR5yuRxkWaYm0Auc85idz6rVamF9fR0LCwvIZrOjLt7YoObPEJZlwbIsd4FeEDhD4P1+H5qm3ekh5ZfhOA6yLCOfz2NhYQEMw2B7extnZ2c0xOwhepUNEQqFkMvl8NFHH2FycjIQb3ye5zE5OYl4PI5EIkFT0V9BlmWsrq7CMAycnJyg1Wo9N2pGbsb/T8sIcByHVCqF999/H5FIJBA3miAIWFhYgGEYiMfjgSjzm8QwjFsTEUURU1NTqFarqNVqaDabqFarmJ6edvtXyPVRqAxh2zYkSUKxWIQoioHowON5HjMzM7BtG4IgBKbZ9iZdPNpDlmVMTEzg/PwcrVYLu7u77uH29NndDH16QxiGgVqthq+//hqPHj0KxDoawzBweHiI/f19DAaDQAThqDAMA1EUMT09jeXlZZydneHHH39ErVaDpmmjLl7gUagM4YTKX//6Vzx8+DAQnZ6apmFrawtPnz6FoijU6fgaDMMglUphdnYWPM/j7OzM3dApCAtI/YyaP0MwDOOeTdzr9UZdnEsxTRONRgODwQC6rlOovIZTk5MkCe+//z4kScLDhw+hqipSqRQikQhs2wbLslTru6JA1lScY0lv8+gFZ81ILBYLxE11cUFhEMrrFzzPY3l5GW+99RYAoFwuY29vD61WC0DwJsTZtu3+GpXA1VScQHHmFbAsC57nPb/4kUgE9+7dw+TkZCBuLEEQUCwWoes6QqFQIMrsBxzHIZPJYHFxEZVKBdVqFQ8fPgTLskgkEqMu3ktdDA6nZn0xSJztH153FtSLyxS8ODvqjYWKU1iWZW/Uu84wDHRdh6Io0DQNgiAgnU57WNJnD2gmk8EHH3yAaDQaiCNEJUnC8vIyLMtCJBLx/QiGYRi+mP/jPECpVAr379+HbdvY3t5GtVrF3NwcYrHYiEv4ck6Tt1wug+d5JJNJJJNJyLJ86WBwvs45isa5Lje5f97YVb1YwzBN89rzKCzLQr/fR7PZRLfbRSgUQjQahSRJnlb5JElCJpOBJEnu7Fo/s20b0WgUtm27N4hfg2UwGKDf7yMcDiMUCvmi/4dlWczMzKBSqWBjY8Pdd8UZfvZDGR22bcMwDGiahnK5jK+//hosy6JQKKBQKLj3rSRJEEXRDYmL/UPOP23bhqZp7kxshmEQj8dvNHnyVkPFKbhlWdA0DYqioNPpwLbtG4VKu91Gu91Gp9PBYDBAu91GOBy+8SiNM0FK13VUq1X88MMPSCaT+PTTTxEKhXw7CsQwDBRFwePHj2EYBu7fv+++Yf0Shk7YMQyDVquFVquFVCqFeDw+8j4Ap3yGYUCSJORyOTSbTfz888/uyYeAvz5Lp/l/dnaGhw8folQquRt+Z7NZ91ztYrGITCaDeDyOUCiEUCgESZLcWqJlWTg8PMTf//53AMDMzAzu37/v31AB/nnAlaIo2NzchKZpNzr2wrIs9Ho9dDodKIoCURRxfn7u1ihuWlbn5iqVSvjf//1fZLNZ8DwPWZZ9O1+FZVm022188803MAwD3W4XqVQKgL8eBCdUnA260+k0ksmkL4ZwnQfVqQEfHx9ja2sLvV4PU1NTN24SeMmp9bMsi19++QX7+/t4+vQpGo0GgGdbaE5PT2N2dhZzc3PuKQKJRAL5fB5zc3NIp9MQRdE9Lve///u/EY/HIYoiVldXb1S+NxIqsiyj1+vhq6++wk8//eReoItTpy/zfZyv1TQNmqbBMAxwHOduSuRVqAwGA9TrdWxtbSEej6Pdbj8XWqN+qzouVmVVVcXe3h5M08TJyclz/Sp+K2+320Wv10MsFnOHbkdZxov3lmEYGAwGOD09Ra/Xw9OnT91+ilF/nhfL6QxStFotdDodGIYBRVFgmiYURcHZ2RmePn0KURTdEzcnJyfx8ccf489//jPu37+PdDoNVVVxenqKR48eYWlpyZPwvPXmTywWwyeffIJkMolQKPTckZzXeYtebE86fTNOzceLi+20MWVZRigUgizLmJychCAIvnk4hzEMA4IgwLIs92wbv9RSLmIYxj2XKJVK+aamcpFt28hkMuj3+xBF0W0y+Kmm4tT8WJZFvV4Hy7Lu0SyWZUHXdZimCVEU3SN8C4UCJiYmnntenBdzKpVCoVBAsVi88fqnW6+pJJNJ/Mu//Avef/99GIbhyYPp1FR0XQfHcYhGo57WVJzQ6vf7bsr7+VAxp2O23+8DgBvefuM0f8rlMsrlMmZmZjA1NXWr842u4+JcD6dGcNWa9W2Xz7nXd3d30Ww2IcsyZFmGKIpuaGSzWczPz2NpaQmLi4vI5/PI5/PI5XKIRqNgGAaapiESieC9997DgwcPsLS05O9QYRgG4XAYxWLRPXvFSdirXpwXq6hOEnMc5y4Cu+kFd/4OZ2KdM4LivFn9cEMN45TN6Uj2c6A4O7CxLIvl5WXMzc25n/eoXbzGF0dHhv3+KFwsk2EYME0T7XYb/X4fsVgMH330EWZnZ1EsFt1+lGQyiWw263bWRiIRd2dARVHcjb3eeustzM7OenLv3HqoOENyXnNuQi8m65A3K5/PQ9M0TE9P+3qCmd8ZhoF8Po/l5WXMzMxgZmYGi4uLmJ+fd3f/4zjO7Vd5cV6QM5JqGAamp6fd+V43fjnbfn39krHV7/fR6/XcrQbI9TgnaTYaDViWBUEQ3LkpzvYXTr/LsJdvp9PBo0ePUK/XIcsyisUiZmdnb9wfR6EyRl6suvuV09y56exqcn3O6QvOKBfHcUin08hkMjee6RzIUHlx3cPFf97G9/fjQ+r0/Tj9S5ZlubMn/TD9PYhedlyHX++Bm7i4IPfivf7izNvrCNzd53RSOR1VTkeqcyKfFxf/YkcYz/Pu2h+nk3nUnBuhUqngl19+wdHRESzLwm9/+1v3OBE/lDNonM5uXdfdkUrn+jud9ePC6e988Wfy4h4PXKgAcKfmt1otsCyLyclJyLJ8owvvPKiapqFer6PVakHTNHfSkDNM64cby5mg12g0sL+/j42NDei6jlwuh2w2i3Q6TbWVa7BtG51OB7VaDYqiuMOyiUTiVlbCj9LLfhYvfsZA3nndbhf7+/v4+eefYds2Pv/8c3c47LptdNu20ev1cHp6ii+//BKPHz+GpmlYXFzE7373OywtLfnmbBhndSrLsnjvvfcwPz+PTqeDXq+Hzc1NfPjhhxQq13R0dISvvvoKzWbTXfclyzIdj3oFgewlc5o5vV4PzWYTvV4PmqbdeCjMNE13OwXnJmq1Wjg8PMT5+bmvFhQ6M4lTqZS7PcOo51G8jtOsPDs7w+7uLtrt9qiL5DJNE51OB9VqFcfHx+j1es9NWffz5+o3gXud2baNWCyGQqGApaUldDod8Dx/48OgnDZmMpnEn//8Z/zhD3/A4eEhyuUyut2uO57vh7a1c4B8s9nE0dER1tfXcXJyggcPHmBmZsaXk9+c1d/9fh/r6+tYX1/HF198gXfeeWfURQPw7NjYWq3mrnhfWFjA/fv33cWEd9mw5+pVz0DgPi2GYcDzPEKhEMLhsLtz/MWe++s+9JIkIZlMIhwOwzAMd8sGZ58Jv3ACkOM49Pt9nJ6eYn9/H4VCAf1+37dvVU3TUKlUsLm5ifX1dfzmN78ZdZFcTi3K6aQ9Pz9HpVJBPB5HPB4fdfFGxulrdPY9dgZFXiWwzZ+XTei57sPvHNtwcXWvKIqIRqNIp9PPrVL1C2f4z5no1Gw2cX5+7osp7y8yTROqqqLVauHs7AzVatVdq+QHzh6/sVgM0WgUjUYD29vbaDQa7kK9u8o0TXe7kct0AQSupgL8ev/N25hH4PSvhMNhzM7OupOC/FRjkWUZS0tLCIVCuH//Ps7OztDtdn0XKpZluRtqTU5OYmJiAqIo+qqZ5jQpHzx4gEKhgI2NDfc41H6/f6drK4ZhoFqtQlVVd93QqwQyVC4u+ntxV30vxtmdtr+maW6TyFmp7AcXJyzFYjHMz88jHo+7o2F+4gzTdzod6LqOZDKJaDQKlmV91/EdjUYRi8UwMTHh7lHiNIvuOufFfZn7K3ChcnGvW13X3V9OH8hNvi/wfFXP2ZneWUpumqYvZlc62xwMBgN3m852uw2e590H1i+cQHGqzrIsQ9M0qKqKbrcLwzBe2pR90y5udyBJkrv38V3vqBUEAYVCAZZluZuVveoeC+Snpes6Op2O2zZ3+kJuMo/EmVDWbrexu7uLSqUClmUhyzI6nQ4mJyeRyWR8MQFuMBjg4OAApVIJ9XodDMMgGo0imUwil8v56iHQdR2tVgsHBwdotVqIxWLY2trC+fk59vb2sLW1hZmZmZHtWu/UbHVdR6PRgKIobuBJkoRIJOLbDa/ehGE7Dbzus/DP3XcFhmGg3++j2+2i0WggHA4jl8vdeNd7ZxvJzc1NHB0dIZVKIRwOo1qtAnjW1PDDqlpnF/UnT57g4OAAsVgMKysrWFpaQqFQ8FWoOLWqWq2GUqkEhmGwu7uLVquF4+NjHBwcIJPJjPwoDGez82q1CkVRADy73rFY7EpHXoyjq9Yi/XP3XZIzpJxIJLCysuJuPnPTqenOiJIoiigUCgiHw+5WgpFIBOl02jdvLEmSsLi4iFgshnfffReiKCKVSiGXy0EURV+U0SGKIjKZDN555x3Mzs6CZVm3pjUzM4OVlRX3CIxRlNv5O1mWdY97EQTBHfVLJpO+mJsUJIELFeDZjZpMJrG2tgZVVcHzPOLx+I1DRRAExONxLC0tYWZmBqZpQhAERCIRxGIxX4SK094vFouYmZl5rm3rx60ERFFEOp1GLBZzj2ZpNBqoVCq4d+8e5ufnR/6ZAnBfVM62pPF4HLFY7LlN2snlBHbrg4tHnzq1jJv2d7w4mjTse/vl5hq27aFfyvYi53o5n9/+/j729vawsrKCYrE46uIB+OcKZaez37nmgP/3p/GbQIYKCTZVVaEoitsJSsYLhQoZCT/XrMjN+KsBTu4MCpTxRaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFMUKoQQT1GoEEI8RaFCCPEUhQohxFP/D7AbGLLyvknEAAAAAElFTkSuQmCC)
The ratio of charges flowing through the wire at different times is
The plot represents the flow of current through a wire at three different times.
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)
The ratio of charges flowing through the wire at different times is
physics-General
physics-
Consider a thin square sheet of side
and thickness
made of a material of resistivity
The resistance between two opposite faces, shown by the shaded areas in the figure is
![](data:image/png;base64,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)
Consider a thin square sheet of side
and thickness
made of a material of resistivity
The resistance between two opposite faces, shown by the shaded areas in the figure is
![](data:image/png;base64,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)
physics-General
physics-
The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane
long (angle of inclination is
) is
![](data:image/png;base64,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)
The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane
long (angle of inclination is
) is
![](data:image/png;base64,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)
physics-General
Physics-
A particle starts from rest. Its acceleration
versus time
is as shown in the figure. The maximum speed of the particle will be
![](data:image/png;base64,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)
A particle starts from rest. Its acceleration
versus time
is as shown in the figure. The maximum speed of the particle will be
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASkAAACrCAMAAAANSJrXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAALfUExURf////T09OPj4/v7+/f39/z8/P7+/rCwsF5eXtPT01hYWCkpKWtra66urkVFReTk5FlZWRMTE6mpqcLCwisrK0FBQbi4uKenp1ZWVhsbGwwMDOLi4rKysgAAAEpKSuvr6yAgIMHBwb+/vycnJ0NDQ/Ly8uXl5WRkZBYWFq+vr/39/aKiohgYGH19fdXV1SMjI/j4+A8PD0hISGNjY7q6ura2tp2dnebm5h0dHUxMTCIiIgoKCrGxsfHx8TMzM4SEhJ+fny0tLaWlpTo6Ojs7O+fn5z8/P9/f39HR0SYmJnx8fIeHhzIyMm9vb/Pz805OTtbW1gUFBTw8PMXFxaysrKioqDExMerq6vDw8JiYmFVVVYiIiHR0dOnp6ezs7PX19YyMjI2NjXNzc729vV9fX+Hh4WFhYTU1NZeXl7e3t4ODg5ycnAQEBGxsbPn5+UdHR5qamqurq+7u7s3NzZmZmZWVlTk5Odvb25ubm09PT8vLy8/Pz4mJicnJycfHxyUlJby8vBUVFfr6+i4uLhkZGRISEtDQ0ElJSeDg4B8fH9ra2mhoaMjIyHV1dbS0tAcHB9zc3MPDw35+fqCgoO3t7d7e3j4+PlNTU9fX156entTU1O/v79jY2GJiYhQUFE1NTRwcHJOTk3Z2djQ0NKampq2trXFxcYGBgURERFFRURoaGmVlZbOzsygoKMTExLW1tVdXV1BQUDY2NqSkpMzMzCQkJD09PQkJCQICAkZGRt3d3dnZ2TAwMB4eHoKCglxcXC8vLxAQEKGhoXp6esDAwCwsLM7Oznt7e1paWg0NDZKSkrm5udLS0nd3dxcXF2BgYICAgHJycvb29ru7u3h4eAgICFtbW4uLi6qqqoWFhY+Pj0tLS76+vkJCQkBAQMbGxsrKyjc3Nzg4OFJSUl1dXW5uboaGhoqKihEREXl5eQMDA+jo6GlpaVRUVKOjo3BwcGdnZ2pqan9/f5aWlgAAAGEZSz8AAAD1dFJOU/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8Awu13zwAAAAlwSFlzAAAXEQAAFxEByibzPwAABshJREFUeF7tnc2R4yAQRpUIiXAgEMiCIiiqdOVEDjpxIQTC2G5AlvwnI1seb4l+szUr2VNb668eLeQB9/BdtK4HxAuirAfEGi85H6Pw9RTQMsV6SCwEbkOUKa0GXGTM1kPigpY8QFxCLEnpkTGS6g6TFHz3fCqnSEyMpLpnTKDUEJgppwBUKclHRlJdo20u5RN35RwwPEahR1FPiUJJyvOloPtJDVFAsSKprrHcD16sypKDhCKHDCNNP68wSarJprGeQkIQEDgFB+WcqGhlrdHTUqYQdIpoITtFNEBOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJOtUJObRKlnJdMkVNb+FGOoq7DI6ce4U1ZDOvDMAhcRwyQU48wbFmPZ+sK4o6cMnPFccoYXEb9FC/sZR+IsXVpXjdOOcVYicdZLnhecf4MlS4r0b2dlwt34pQOPKWU7XDc6sHz1WLzWzz+RMEt66o7cUorG6aS1IR7YobI6lYP77UPAQabC67mM+EGGR2Cg2Eo4bnysOGrnVnnZsxJaZE3MIR5DfVojeTJ+sh5HXOBw1N65FyYKDjnU05IK7YUr3Oji1NQrdERx+tgkozHQTHIT8uUoxhBKQjK6SD1gF8F3Lb2fMSeiTkpDq8fAysFWgvcNmQYiKaLdA6VchyfnkPKRMZ7saoEUWcAXhSnQg5OYdUCjzAaKaCOebtc/ipRONGHVVUZKNLZKVt2xcS8E03ilbDYFlIu9UGw+TamArOE0IlVZfTViu5qRZ9wYlViczkjW6cPPqbriQTOEhxn4urBU1KdAn9wlmDqNkeLr9wl3LcecXIQWL3NqyEu5JknqNbBAKzzKZgfwMxT5JoEhsEJ6IJlCp/XObnBQFxalh+ZKTPP00eljbWJCavgxRtu4X6m+BLyBHTCYuUtJGPKBlonrRU3idS7GaxVp44qTEoZpfJNMh7XF+sNHjiDpStASKWIwSPLj8zMdzO9XAG3URt7si93yKe3qgGXLrfG9yx3yH2U9U3czTbRK1bvulBUm6zfdaGotlg5RbVqk7VTdAXc4sopsmqDa6fIqufcOEVWPeXWqWxVB+8s7OfOKbLqCfdOkVWPeeAUTUEf8sgpsuoRD50iqx7w2Cmy6p4nTpFVdzxziqy65alTZNUNz50iq67ZcCpbRVHNbDlFVq3ZdIpq1Yptp8iqhRdOUVQXXjlFUc28dIqiqrx2iqIqNDhFUWVanKKokCanKCqgzakS1dWyx+5odCpH1fdsvdUpsqrZqe5rVbtTvUe1w6nOo9rjVN+1apdTXVu1z6meo9rpVMdR7XWq31q126lurdrv1DD4Lq16w6lOrXrHqT6tesupLq16z6kerXrTqQ6tetep/qx626nurHrfKYjK9mTVB051ZtUnTmWr8ida9MBHTnVl1WdO9VSrPnSqI6s+daqfWvWxU91Y9blTMFvvwqoDnCpWnT6qI5zKVp0+qkOc6sKqY5zqoVYd5FSeLJzbqqOcOv+86jCnTm/VcU6dvVYd6NTJrTrSqXNbdahTp7bqWKfOfAU82KkTW3W0U+etVYc7ddoBeLxTB1rlawMTxP/6w+6/4NRxtcrmRgIZL5fj3/ANpw6wSudP506Xz78fBoOfiP9LvuIURCV2RXWrixP4Ae/j+u15XzpR/I7vOLXXqoCfhX9BD5EZeGDueFa644w/bsvxJad2RqVNlqjiRGKcT7m7AjynOMeQbhpQ/DnfcipHJdstUIlPs1c62hSCr5Vp4iZMEqvWba+cv+VrTkFU0x4JDEtizkpb7GpSenkE7HCi4cilqyH65wRmAYF/jv6yoh41fIP/AwNE0aa0zRnz6HVzpz2P3U9+iDfqa+z6p6fEGB9LKKUnoyw9h3Bc4iiG+H6a1H/DxMSli8KUNSotCaFqjbngeU5JAX4US1XzNl9mVOk5BFg8cj+u6P8H2oyr6u9Kbz2D0QR8XGLjykhJAdiheUFLpjCkBNdCI5WSWOj1+OP51H8JtqWCmpTn6AauizmiuRETcU8t6QWYTtUj4g642tWjPFmY6/s50e4yZPzcbridsTTYRfT42xn6t/EwFSpH2vPahZF4gOKpJgVXLkZJPcULGUuf5iFytWobT9ygtXa8NNPVvkwkiWd4UZICIo2+LWanAHJqE1frFGBo6riF43WWQE69YOUU1alN1nWKktpCr659NPqe4tUkWZrwTd8wTZbZKfeyJu7wk5WjlDJCUvAXUH+jQBAEQRDE5wzDPw6B8qrVRr2aAAAAAElFTkSuQmCC)
Physics-General
physics-
graph for a particle is as shown. The distance travelled in the first
is
![](data:image/png;base64,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)
graph for a particle is as shown. The distance travelled in the first
is
![](data:image/png;base64,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)
physics-General
Maths-
Period of
is
Period of
is
Maths-General