Maths-
General
Easy
Question
If the period of
is
then n=
- 3
- 2
- 6
- 1
Hint:
In this question, we have to find the value of n, if period of
is
. Firstly, we will find the period of the period of f (x) and then equate it with the period given to get the value of n.
The correct answer is: 3
Related Questions to study
Maths-
Let
where
where [ ] is the integral part of x. If the period of f(x) is
, then ![a element of](data:image/png;base64,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)
Let
where
where [ ] is the integral part of x. If the period of f(x) is
, then ![a element of](data:image/png;base64,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)
Maths-General
physics-
Which of the following options is correct for the object having a straight line motion represented by the following graph
![](data:image/png;base64,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)
Which of the following options is correct for the object having a straight line motion represented by the following graph
![](data:image/png;base64,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)
physics-General
physics-
A body begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to
![](data:image/png;base64,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)
A body begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to
![](data:image/png;base64,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)
physics-General
physics-
A particle is moving with uniform acceleration along a straight line. The average velocity of the particle from
to
is
and that from
to
is
. If
, then the average velocity from
to
is
![](data:image/png;base64,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)
A particle is moving with uniform acceleration along a straight line. The average velocity of the particle from
to
is
and that from
to
is
. If
, then the average velocity from
to
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYkAAAC0CAMAAABWkCBIAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////Dw8KysrEdHRwAAADw8PH5+fr29vff399PT052dnXd3d21tbZiYmLu7u9zc3P7+/vz8/Pj4+PX19fT09Pr6+vv7+/Hx8e3t7fLy8qenp7+/v+np6ePj45mZmXNzc5WVldnZ2eLi4paWlmlpaYmJidTU1JeXl2hoaIeHh2pqau7u7vb29vn5+f39/eXl5by8vK2trcnJycvLy97e3ubm5s3NzdfX18HBwbS0tLOzs7i4uOvr69XV1ZKSknp6eqampurq6t/f35GRkb6+vuzs7JOTk9bW1mdnZ2NjY3x8fKOjo9DQ0IaGhmtra5ycnOjo6MrKyoWFhampqZ6enouLi1NTU1dXV3t7e4iIiI6Ojnl5eVFRUTc3N1VVVc/Pz4SEhJqamsXFxV9fX6SkpNvb211dXYODg+Tk5MbGxoGBgS4uLl5eXoCAgAkJCUNDQ66ursjIyGVlZd3d3WRkZK+vr01NTRsbG5ubm9ra2jAwMBISEsPDw7CwsAcHBxwcHIqKik5OTgYGBigoKPPz8wQEBGxsbI2NjW5ubqCgoKurq4yMjHR0dBgYGJSUlBkZGVxcXI+Pj3BwcNHR0efn56GhoS0tLQUFBVlZWZCQkLq6umJiYnJycqqqqre3t0pKSnFxcUlJSbm5uRUVFeHh4T4+PkVFRVpaWlhYWEhISC8vLyUlJTY2NlBQUFtbWywsLCMjIzo6OkxMTE9PTyYmJkZGRj09PXV1dTs7O0RERDg4OG9vb2BgYHh4eMTExA4ODiAgIFJSUgICAhQUFM7OzszMzMfHx5+fn2ZmZgEBATMzMysrKw0NDYKCgsLCwn19faKiomFhYUBAQBMTE9jY2BcXFzExMaioqODg4CIiIhAQEBYWFj8/PyQkJFRUVLa2thEREQsLCx8fH1ZWVrGxsQ8PDycnJ7KyshoaGsDAwEJCQrW1te/v79LS0h0dHTU1NaWlpQMDAwoKCjQ0NEFBQTk5OXZ2diEhIUtLSykpKSoqKh4eHggICDIyMn9/fwAAAIEMPgUAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAHs0lEQVR4Xu2dwZHrKhBFZ6EdVYRAAh0RG5IgHgIhAKooMmBHKL+RsS1Z0sib/3zl6WPXPKzRmxJqLreRQP75LkKcmKL0+Cx8CPJGZaWM9mOD8EGIX4IgCIIg3CASX4SAdNASCgS8yUZydgQ4EjaNsvBJSCIBQteE9E4ISO+EQu+dRBMIiCZQEJ9AQTSBgvgECqIJFMQnUJAxNgqiCRTEJ1CQ3AkF0QQK4hMoiCZQEJ9AQTSBgvgECqIJFMQnUBBNoCA+gYJoAgXxCRREEyiIT6AgmkBBfAIF0QQK4hMoiCZQEJ9AQTSBgvgECqIJFMQnUBBNoCA+gYJoAgXxCRREEyiIT6AgmkBBfAIF0QQK4hMoiCZQEJ9AQTSBgvgECqIJFMQnUBBNoCA+gYJoAgXxCRREEyiIT6AgmkBBfAIF0QQK4hMoiCZQEJ9AQTSBgvgECqIJFPB9gjqjfMzZLvjfn4ivCa9DOjuN5NOvzYkoAVWSvNZhUyl8n/BGmbNI+GB//XJ50jag1JKStirnrIxfVQtfE0nlcBIJ6vuM8i69lmfR/Ed445yy1ipX3KqF4ftEsuffB8qRMKO4C1cfo5akVak5JO+TqlNcNrELaIIj8TWaCK5F4+dG4UNpbtGn4vvEW5rgfUZxFxBNUIhTeTQrclO1o8xcQhPf4hOaz/2ixahpcs+jwvcJf947zdEaxV0waplyq2pRFdOm/PzIrQX8+7G9Vb/2PJ2zSPRaflwTZMrklpkrR2KhCe5Bs9FMQH2bHBUfYfjlpY2L6tddVHS82+Pz6VDx/yC5qa3aFPdOS03YUqJDJtZaRvGQs31iqatafkIgFDhtXY4/Ka8iQTYWp1SGfSk+jZH/6cXDt+PmxLtstj/esZS5NH6cpQD/B92uV2aV4koj3IPyQAOZkJ3So3wE72NHcZegXNZ+fGA+0TmFNpWlmXlTW9SL3ukKWezIKfiod99zFts7nKN3d8PeHHtxbPn32GmKyzM9S2KhkR6JpWTweGM8MV+bGsVdei0/c/6fGI7E8kxz5lRWtgGviT6eOGsrb2SxH29vXROLY9jYxiU0cZbqXGKMzRp4RoK8ai2vJICviTciMe8zirsgtDddFo6dVF1d/mP+iibcxzXhbZvy7VRTyhyIF/frkbhK7nRMz51GcReI9qZdqyp5JuRS8+tNxq/QxI9+w7E/rYmfn8BKiNkqHktnsxnTfIlPXOOene5B4AE/H8y2RpfQxNlsAPYJd+oTCLXsszq09jtxuEUCfDwRzPnI7ix3Cjjt7WjmFb4mzuYydSjpX5sT+fM5U58G3yfe4zvmAGJr4q+A7xN/BdEECt/iE9dHNIGC+AQKogkU0H1iHgbQh249/1OgNcER6BeRff85Nn0v2D5BwSp+WWOtOrteMa+Z0uloME0p8N/RHFHCvPCB7RPexNZacS7HWtQvx0kcB6Oyy0cB80GVyn8jpKRhFnqtwPYJ0qZMkwshmMyn8bgxc4N6rJnau3LrbZ9HyKJQzinMSKDnTpSnNt968GqqR3eMaL4FY5L32pZpObFuQKHcVpB4juxq1hEO2D7Bx+cmdzs+06aj/km7GjkOXCKy9f4fFiRVxpQWsm0xUx4JdE3oWscd6NDamBrxAgXXnmumfG5b7YRY7uuodFSjBAb4eIJMHZOEuDG33TZDaRkIjkttG+1o1+5C8faoj/sw4JpIucXbidPdAObSC7xLW66Z0mUbCa/afeoj7d5EBgDcJ/j8Oz6D5HsPtDtRhlWzDlHgSLzWiHRsnHqNT5iAa6IvgEo+aRsfjfoF7pvqMm/1ttats1MfmGwme0GB7RM+T4VHASpn5w4mAnKutFqW0Kf+7sSMQzG11TMB0IDWRO9UcuiBsP0yxQ7EWe60Sob0cvH5gp5hTQU4FNA+wR7QDPVVWYc2Oy82X/7ydYHIA9J5Qg4FtCbYA1Y9zxYePE/L2e9dI6tMiuFs6bZB57Yz6kMB2id0PRjMPSBTHiOFzrz6/KXdJz26Nu7sWECo7Q5ZEzyYO+tN+gLOZXbalxG+JLukzf1C1OHoEAFkn/A8rDu7KbF+NA8nTtv+Jzyfd2bAIwF6bL2neenyN/QO57lmqgdieyXWuHtbI3Uqss8B6xNEiXOds0j0Ecd9zdTsyHE7e1/xUG+uIgVOilE7AFhNkA+qTjXrs6nFnDwVk/qdbg7E6yrCDguhRaO9T8aVnd+jgOoTrFXXH3uitrd91vQrUrU/tMOV6LZrpjikXENrc4yllI88sONNUDXhTb8ZatV5M6GQ61Rcdm73Eh95zmEp9EBF2Nykg+sTPB577/HJfflafwqMP9h13nybrTN/BgU4d3oXHjAsJnQ8RtRXA9Un3oaSzfbp63NndEmurglKnKRme7fqPv3sotXBvj9xjmeTYErkaIT+qL/jy7bgXFwT5JMOxuZSW+X8aWfp/2W4uE/c0iuv++0kZQwrYvzienxB7nSDR9mXlcPM1X3ie/gaTVyei/vEFyGaQEF8AgXRBAriEyiIJlAQn0BBNIGC+AQKogkUxCdQEE2gID6BgmgCBfEJFEQTKIhPoCCaQEF8AgXRBAriEyiIJlAQn0DBW4kEBl0T0jshQBr/G3z+CH/imd2CIAiCIAgrfn7+A9sOlqRKoRrSAAAAAElFTkSuQmCC)
physics-General
chemistry-
i)
ii)
iii)
iv)
Which of the statements are correct?
i)
ii)
iii)
iv)
Which of the statements are correct?
chemistry-General
physics-
A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time (
)
A body is travelling in a straight line with a uniformly increasing speed. Which one of the plot represents the changes in distance (s) travelled with time (
)
physics-General
Maths-
The value of integer n for which the function
has
as its period is
The value of integer n for which the function
has
as its period is
Maths-General
Maths-
Maths-General
Maths-
Maths-General
physics-
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
The effective capacitance between points
and
shown in figure. Assuming
F and that outer capacitors are all
F is
![](data:image/png;base64,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)
physics-General
physics-
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
The four capacitors, each of 25
F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is
![](data:image/png;base64,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)
physics-General
physics-
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,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)
For the circuit shown in figure the charge on 4
F capacitor is
![](data:image/png;base64,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)
physics-General
Maths-
The minimum and maximum values of
are
The minimum and maximum values of
are
Maths-General
physics-
Figure shows a network of eight resistors, each equal to 2
, connected to a 3V battery of negligible internal resistance. The current
in the circuit is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVMAAAEJCAMAAAAegDTXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAK7UExURf////n5+ePj4+3t7fj4+OLi4uzs7KWlpcLCwvz8/Ovr66KiouDg4G1tbZOTk2tra5SUlO7u7tvb21paWoODg+jo6P7+/tzc3FhYWISEhOnp6eHh4V9fX4WFhd3d3VxcXImJie/v7/X19fDw8M3NzVlZWYaGhurq6n5+fvb29vv7+56enmxsbFJSUkFBQT4+Pj8/P0BAQEJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUV1dXVVVVVRUVDAwMIuLizMzM15eXj09PaSkpP39/fPz88bGxnFxcWBgYGFhYWJiYm5ubnR0dGhoaGpqajExMfT09Do6OmdnZ1tbW1dXV2RkZCIiInBwcLa2tnNzc4eHh8nJyff39/Ly8vHx8efn5+Tk5Obm5nl5edra2vr6+tLS0mZmZs7OzlNTU4iIiMvLy9nZ2Zubm5CQkKysrMHBwdTU1MfHx4GBgdfX15mZmbKysqOjo7Ozsy8vLy0tLZ2dncTExDc3N2lpaZWVlZycnH19fbm5ubCwsIyMjNPT03p6enV1dd7e3qenp42NjXt7e7e3t39/f4+Pjzk5OcXFxaqqqrS0tLGxsXZ2dqmpqcPDw5aWlszMzN/f362trYqKioCAgLq6umNjY8jIyDg4OC4uLqurq1ZWVtjY2Ly8vKampmVlZa+vr3h4eKioqNbW1nx8fKGhob6+vr+/v46OjpeXl5+fn8DAwNXV1YKCgpiYmNDQ0L29va6urtHR0bu7uywsLDQ0NDIyMpKSks/Pz7i4uCcnJ5GRkR4eHiUlJTw8PG9vbzs7O+Xl5bW1tXJycqCgoCAgICQkJCEhISsrKyMjI5qamigoKCYmJnd3d8rKyikpKSoqKjY2Nh0dHRwcHBISEjU1NRoaGh8fHw0NDRQUFAAAAHYt1GcAAADpdFJOU/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8AaiBlzQAAAAlwSFlzAAAXEQAAFxEByibzPwAAEsxJREFUeF7tnct18yoUhdMCDVAFHTBQFSqBtZirEGb0Qh3MMrh13L0B2VJ+PyQLYsfmsxMrjoWlo8N5AIKvTuczEWL50qmAmMLipVMDaSZqaHnp1EBqm2SaXzo1ENpKvHSZ3kLsw896GmV556+TxVARORmlhmFQ8+MHmk9t8ADcVGOWqRr4Tn6LBfwD3kzP8uvG4/xsQzqHdKCnl8VDT1kS1RAewoLEKDT+Sq9pu5C3Ynom9GC5I2SKt8qbKGL+5Im5oJ+P/Jxffzx5LMvn6rF67oR75L2Wv4keTZJEPUSI1s/b5Zkea75Equj8/7Luy/Jhvr+d9OH0TWnztJWKWT9Xj9XzENlq4TefqrpM3Vmm18DZLZCq6Gl6+Yv8PJ/6emqsX3/JHeZYSr2J3xfKVD6RLXq6pggTMX/++68DmZatWiR7uldP+SLcvkvxsgity1YthEPdL9vbEJ4hP17fo+o3sad79RT7lNf34BXs6bvRwp7u9fvvRtfT+ryGPX0vhO56WptuT+vT7Wl9Wujpx9vTBnq6N496N7qe1qfb0/q00NOP9/s9Pq0O8qjaMt1jT4ONEy+AkNbxbzG5v6/iT9VTIew4KLbuCz9oHoccapuiJ/BUeyr8NPkY2SItog4C++Ym/7/Nc+2phPCLTBHVyi9v4xuM7XuyPYUB1TF9WFrlv7yZcjfKn6aFnu7Jo4Kae6CnwePnHYagPjuPoknNrj5E5yfzDlHYc/2+D7ShWVGxX7RvMapX1pfpjjzKWYsI1WUb6o2K2xX8hXluvi/sMA7ziB5phhQC/Hka1P099lQ6RKhl+8u797hJ4rnx6XvSIj7t7VJdT2vTwEf1dv4Geronj3pHnuz335JuT+vz3DzqPel6Wp8WetrtadfT2rTw+92emsptQV1Puz2tT/W6L+RkbHiXW50eorZMZXDWmMmV28g+ksr2VE4x38luP3gOnsp6CgeV5h7QqP7lrc+jikznG0aBt3k+hzcYSvYwVfy+X4xygqKi9sdPjqaop0eFKp1JAx0T0lJNP7jm16n7Ylp6pACLauWHy/Sw3/f23J9M12/iR6tpHZmuR+OFMlLvYxFRHx6j5NTZnAL/d+ffqYOIKk2WdwS3HuEoVSxbH4q06qiTlpNaRU5y+GyZIgzS+uDYZDiltUw/XE8l0h4kPeWvhxAyrBX9w/VUBObmugwAfZi17fhwPfVTkmndePLD9ZQ5D+p+3RaPD9dTGaaojXVV+zo+Ppbytnob0qfHUl8C2fnh5HTNx+vp6T66eny8TL8g09p62ut+19PatLCnXU9b6GnlEv8Y3e/Xp9vTBnS/X52up/Xp9rQ+1NP6Mu1+v+tpXXp8Wp+up/XpetqAJj6qbH0oXU/r0+1pfbqe1qdNzF+2PpQ2db/7/a6nden2tD7d79en62l9up7Wp+tpfXp8Wp8enzag62l1uj2tT/f79el6Wp+up/XpelqfHp/Wp8enDeh6Wp0G9lR0e9rrfm26369Pj0/r00JPq5f4x2gTny5kKqSvc4+wkMG5undwHyAfjbs4N1lzH1WtIoigx2F4menAnB6GQV2e5bmJnpYtIIIZ68wGyvl/nYsvsmKfsBpHM12cTaK1PZWTVarKRfOR8wtNtZTeRntoGhijoaLSTheMUeO6L5wJRlURQzAxyFBljW4hQhzGQR+YS1gonpVwy5kKZxro6TKP8lP0VlVxLGEYx1HVqfohGlwfe2CCZqm5ZrgIl2XaVE+nYTBDncV13WCsXc1g+TDCJBX1j08kLrym05DTJfvR1J4KYQetRnV0/iqSZ1uTZYHZY+AIy9ajcBECvISLYUjT+FRM1gkxVfHV3pogvEOB5Y3HETKmmd8OlJSWYYd1vxhLtaj7Jz0NA6UJu1WhwiImG5RSVdY9l5YylQfmZpcTqp+6tm5wQz0VPglThis+iqvvb0a6GOO1lf52lQQ95ZziDEnKG2e25nw4NRPjlYvSOj69AWzSSRRCnrM8IeTeacMXJX2hpFOpV0qCj3IwI/9O/Apjdd55eUhS7rAUzXPTqyDDmpfexz42mziCQ9pXKRltnuSDkqayeb0kGJLxvMsJKJg62esQT5OZwQDvmXj3iXpq9Xk626C+T3Pac33zfZcZojjVY4SxpxmyfbxWkr8YlcmoTpaQy4PPvhVC2jND9BP1FGqqs0oJiROY5SutUcz7tpNLKntPw6hLSQIlqT2xsVcmluRK+DiOs3J6o7edU+Zpeoqo2fj5SFHPQD4DCeOf4oXNeGMQgue9j5Qk3DC5IVd+RIBwiWXnoHF1trtByvQpeooYfpLRpCMVFmlBHJJyiqAmpPY7FJUNVigp6VcqyebETUAUu0piCOx1Vk6JKx5MblFD4BQmvT0wbhqf3gJKFKAMyUtB0eSXy7EnJOSkK0ZhE6kkl0qCM9GrkoTT2xOvFMfbNBN02k9ElaxIiEb6ctE24errqcbl9nhmuLH8u+DY9AhhUhJQWWzHyKOGcnkYNlwWIbzkfnz8s/uCgIuQL8uPkqijsDB4W8zl3CwJ2a+AcrPC5yIoZOxtoaNi4iIEiKnkqpzzrwUh7riQ2xBm/MZjLL8LbFWaGZASxRT9JZfAeobdoF54Z6JBE9AKnIa2uhSxKGgBykRR2X5YeiNpkja5tOpCMo0C3yCY9VwpIpHLyW1eOBjIMaRVC6RNHkuzAZhGIUX66m5Bw3el5rMz0iplJwQr6VFe5o30PLcv0UyhnqVDoJ9B5eUJQN8sos7oXN5Tfce81/KRisQLTxslQUNpQbntYc8QS6RlA2hs4bexf/l8KgbP+WFGjd945pYeXk6YjSRMXGYcXkjL7NBi87CC46dzIfhJj/KSHtaa4ULoexAE87cM6upfMFPy7F8gFmSgPB4KhFWO7wM7Xj3I+SMoyaOk3DiyKkmHy10chTCkhHf+QLLMs2ujqS5JBEQb+R18+ybS7fKwG0G8mHXnPnSpUNOsIVCvkyuwA+LskyCvyHQpKJYEW5g/V0pK/59Y0o2TDEqvOkA83ByuQ3qH9tmXxUukVtM58bsM/iuaiJR+b3NLFAxXsoQEzmBSpUOQCwectd3mOOsm8GvrktgQD1DxbwYiCA/06nitmpLDIzDQ+DPvbZXRpwT6KgjAtirULqAzW2Mhr5EOzmfsNHQhb6Lyl4yG2O/77XJIac8hjEPmU1YHQmY1J1aXkXD4Jp5TVaeguWU7rbNR/hPMBjuJi1DbPxX8sDVAkw6ymw8iLWhTtleLUk2jiveWTGVSfjKbq5LuNoDAHY7D6eu8Vefay4ae8g8YyrsXFs6tun8qIHLeqqhy2XKfG1wzy1Y6HGkc7hkUYRca4hf9dxfb+5ZAWpDp6VM+hbcZEc4yEncLgvFuJVIc1ski3UUuPiiuJNUySO8ibNvNpHtV0tYVAYVkwezsP++w/BaxQ0bwTwuDVRuE2jfCl4fgiJZxYQ9qINilZLiSRo2DhQk5tsTRHfY1g9wH6eUUh7PRqwEkynZFG/Y04t8A4Vsj/5RhflyvfAiUEZELW2v0FlBTFfIiX6tMJClNRVpTUamhJhqks5Ur/jR+30qwdsLmiapV81/wFVtd/y1o8bis923v9BAwf9pMtVQf5n5D4noQWWPBHxzpMCA/vB/FPILwdlCVRrRKfTuzqAJj1MNfIu04snm0EcLDS+k0CPMgvsI6sRtgY0TZfBhE44wdK1vSJYILsXNVskMSQQ7bLthfwL6hw5cOITlX9Ee806b6A1gAhdS3/PUIQtjUI/ALcJRn2TyAkB5xudJTM3OFwEIPRwbICwff0ero1rA3pMo3CSSmCKfipYHeh+FgQXNomUe6/Jb50wp5beDbA0jo0nCrHfQhUAnopY6FasseieakbqWyfRRUUHWogl4ACa9VbO86ZKvhNyo3Q9xEIg6uIgYBbWK7cU2Zwv1RQ49G/Q1GndymSgqccimjDwzBvQjM/XB8WDy79NoH+0s4XKZsPgpbj7RqEPjDQqPaH01Ng4m/Z0wTh10/K6hCTN4iPGVrNLS//PUQbDP4ZZEymTqkqCLnUTWb+BYwRkP5B6qAqD+M5z7zIJMH8XasGI9dIPupR91Uwy69W3AI0+MyEUGz5aiRnhKBkELxdusHviKNTSnbvwlq74HagQjS2Qhf0tBosUlhcWvBdpA//UL73iVk1Mcqb+nYrNZ6/A+PphMIan6jfe8S0zyK6XEgVqUipFr+rghrQtQPGG0h43JYx++CdPhw8xSCVJz5pgHY++CQUm2mB8JU+KffzZ+WMEY9/uUIIMaxrkypoialvA8cHo6nff/TdeD6D7oY4Ztkp6lJyj0mGQT7z/FPGYYcZUvsH52AXWSAOWV2WvckpBn1g45PSPP7+dOKNKieG5fnELgN4kek+/bajcAH4KCJBxvo2f/0VJFyOCjTDTaG7M1UORkMKn0bnUgHtN2gwP7OWu1hM/LW00iDueVkWIPLWxtB/TwNAG0BorTNxeP6MkimWHcMBm0FLKpFiBltvnNpB6L2wLOfXJ4m5iISqQGUgsbi7CKeBxQVNtGHuLdpLQ+Wmhom/H5z9CzcoGCJUn+DMLrhMW0i3ezE+/b212P6qJY5oBs2myMOVwqT0UyUn+33E7RD4ZTNiQ0DuWeEN3WmUrvIDpkKy0CbF3nQSOqeGPIvODWmsn18+yHBqL6GTEO64Tl1YOu9Eze0gvca8pVtIt87HKcd2+lE2C5TBtrlQLyrMstdBVy6s154WEg97vBW8fq9kYfZoKecYiZToY2tNhNlinqvYph2qMem+/geZYNMfRpZQLX09pkNJ5cQFlVHwHFaj1hvx8E9V0/FNOgyYCPfxv9KMJ3ijYiwRDLfzQ1EcHezw+fa0yRTHdkmLuY7el8Gdjag3lM+2EzHxrv3h7tRyZP9PidWoafnS9tboPYTkGgWI4+MKgkSqnttVuYFT/b7nCRFpHHqSqn6gwsPAec0+02Xon+4K2PjfV96Y06Ew2zx+2X+itTbODw90V8hp3m4loBMYVQd3JUI94eot/T7V/WUs/2VTY5PLFtVZgutyfmGWM5mynv0HacuunuUTf3+NU8u3Kn7OyelaWvzzcG/DyIApKdpSFwKWm/TVk+vJHSS97qVIa+cYiq9+cIgg7emNKhsEFiZI60JV/UU1YhxaRpMdU5KXxcRx6FUJ5HnLLpJY3t6pTZz6A7vSOFgf86EV95+VSDIuXMN0dTdo23q969mRuyalHlE8eTOs6G+LH7uVheepkqGm+N2nqOnpWuSPQ3G6PFuyPU6OET/cjKcQ+aqS20Z81/XU45KSt+bWqHvh7EvA+cdmxAB2Aixslfy0rCKpnp6eXQ8DkNA3vl/achmu0OoDmdw4khlx+4zbF2aTKKlTC/rqZCcxHsxQfILx6X/wGmh0k0leUyU4RTtk4N5XZ7Cb+oppcm5F3ksL9YGtZmwnNOdDRVRDUrbiROVzP2Av6GnrOxpelPOa4HINLLGpP/8PX5UKp6YdzgvpRjC5LP6DT3lnW1Ga1zPOOGCLq7oe8AhvHRahOpyL4Tdt47EGk7zG1jXOSk3fmB4Gk0V8gqk6WWgrRH6g+D7+omKxfo4MIdn+UPWt6ST6wTKZ23n9zQYPPhqoPbRvlkzjKiQjmK9eM6LiQrZ8nHyOaktuWyvoO1k2Q5Xi0k9vCKj4/dVzx9QrKlqItBKmvTviU/qPHQxDN9zE5LwZrjczclBDywvBxmo7H8oUKoHw8VzpLUWrDDanlekUHPjDFs99Y8Zg1OglCZ9JtD9z5TmDOorPZdRcMycyYdVNckjrUihTRZOgNDn5g5pop3vJUt1nRqPFCPV9rf2RLtIcuGUMwxhSzOMZDtcGdjKZQqW60h4k96HPJO/Y6DEyPftAqXDMONi6JMin+BDWkci34GZ5l3Nk+tnD+VS75zwtMf4eFfPW7BVA+qKWmzTyNbUuZEmkU9T6eMTUFPJgfcQIf5L29mFeYdsIJFx5RUpLNcmgQWFPWClx1uurCPhBAe99Mq+GdiBbFXTOhK5psMCQLS8dxjbXPoAjuucB3w8wqeFMNYB0UVQvbmORPZOFHBupGdPXfjN+Z9eHy6ANgzjhuG/HHG3WEfC+Pk+N6cQpnY1PRNSKLrpHtt/1pEod+Snhd+6TM+47aPoVutIBKQGp3UklitSXEBwPrAWEwG/KJOKLmxrLWKHwal1CoI83YWZF+6/DscaDMPnmFz7H893202qYlp0gviF3t2Jorgk2AdFWsKO1k1b+zAeWkcCH33+bY6/CYKj9vrjh4E9pB+iqRzyG+D1256t19+0Lzl1eHuQF3FBwYZr3QBcOOt9w1nAXwzJcQtIo1oqKkKpTS6wsx05/aVRO38D6R6cuadzFXF9OGGn0+l0Op1Op9PpdDqdTqfT6XQ6nU6n0+l0Op1Op9PpdDqdTqfT6XQ6nU5nM19f/wOlfRacb8FhZwAAAABJRU5ErkJggg==)
Figure shows a network of eight resistors, each equal to 2
, connected to a 3V battery of negligible internal resistance. The current
in the circuit is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAVMAAAEJCAMAAAAegDTXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAK7UExURf////n5+ePj4+3t7fj4+OLi4uzs7KWlpcLCwvz8/Ovr66KiouDg4G1tbZOTk2tra5SUlO7u7tvb21paWoODg+jo6P7+/tzc3FhYWISEhOnp6eHh4V9fX4WFhd3d3VxcXImJie/v7/X19fDw8M3NzVlZWYaGhurq6n5+fvb29vv7+56enmxsbFJSUkFBQT4+Pj8/P0BAQEJCQkNDQ0REREVFRUZGRkdHR0hISElJSUpKSktLS0xMTE1NTU5OTk9PT1BQUFFRUV1dXVVVVVRUVDAwMIuLizMzM15eXj09PaSkpP39/fPz88bGxnFxcWBgYGFhYWJiYm5ubnR0dGhoaGpqajExMfT09Do6OmdnZ1tbW1dXV2RkZCIiInBwcLa2tnNzc4eHh8nJyff39/Ly8vHx8efn5+Tk5Obm5nl5edra2vr6+tLS0mZmZs7OzlNTU4iIiMvLy9nZ2Zubm5CQkKysrMHBwdTU1MfHx4GBgdfX15mZmbKysqOjo7Ozsy8vLy0tLZ2dncTExDc3N2lpaZWVlZycnH19fbm5ubCwsIyMjNPT03p6enV1dd7e3qenp42NjXt7e7e3t39/f4+Pjzk5OcXFxaqqqrS0tLGxsXZ2dqmpqcPDw5aWlszMzN/f362trYqKioCAgLq6umNjY8jIyDg4OC4uLqurq1ZWVtjY2Ly8vKampmVlZa+vr3h4eKioqNbW1nx8fKGhob6+vr+/v46OjpeXl5+fn8DAwNXV1YKCgpiYmNDQ0L29va6urtHR0bu7uywsLDQ0NDIyMpKSks/Pz7i4uCcnJ5GRkR4eHiUlJTw8PG9vbzs7O+Xl5bW1tXJycqCgoCAgICQkJCEhISsrKyMjI5qamigoKCYmJnd3d8rKyikpKSoqKjY2Nh0dHRwcHBISEjU1NRoaGh8fHw0NDRQUFAAAAHYt1GcAAADpdFJOU/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8AaiBlzQAAAAlwSFlzAAAXEQAAFxEByibzPwAAEsxJREFUeF7tnct18yoUhdMCDVAFHTBQFSqBtZirEGb0Qh3MMrh13L0B2VJ+PyQLYsfmsxMrjoWlo8N5AIKvTuczEWL50qmAmMLipVMDaSZqaHnp1EBqm2SaXzo1ENpKvHSZ3kLsw896GmV556+TxVARORmlhmFQ8+MHmk9t8ADcVGOWqRr4Tn6LBfwD3kzP8uvG4/xsQzqHdKCnl8VDT1kS1RAewoLEKDT+Sq9pu5C3Ynom9GC5I2SKt8qbKGL+5Im5oJ+P/Jxffzx5LMvn6rF67oR75L2Wv4keTZJEPUSI1s/b5Zkea75Equj8/7Luy/Jhvr+d9OH0TWnztJWKWT9Xj9XzENlq4TefqrpM3Vmm18DZLZCq6Gl6+Yv8PJ/6emqsX3/JHeZYSr2J3xfKVD6RLXq6pggTMX/++68DmZatWiR7uldP+SLcvkvxsgity1YthEPdL9vbEJ4hP17fo+o3sad79RT7lNf34BXs6bvRwp7u9fvvRtfT+ryGPX0vhO56WptuT+vT7Wl9Wujpx9vTBnq6N496N7qe1qfb0/q00NOP9/s9Pq0O8qjaMt1jT4ONEy+AkNbxbzG5v6/iT9VTIew4KLbuCz9oHoccapuiJ/BUeyr8NPkY2SItog4C++Ym/7/Nc+2phPCLTBHVyi9v4xuM7XuyPYUB1TF9WFrlv7yZcjfKn6aFnu7Jo4Kae6CnwePnHYagPjuPoknNrj5E5yfzDlHYc/2+D7ShWVGxX7RvMapX1pfpjjzKWYsI1WUb6o2K2xX8hXluvi/sMA7ziB5phhQC/Hka1P099lQ6RKhl+8u797hJ4rnx6XvSIj7t7VJdT2vTwEf1dv4Geronj3pHnuz335JuT+vz3DzqPel6Wp8WetrtadfT2rTw+92emsptQV1Puz2tT/W6L+RkbHiXW50eorZMZXDWmMmV28g+ksr2VE4x38luP3gOnsp6CgeV5h7QqP7lrc+jikznG0aBt3k+hzcYSvYwVfy+X4xygqKi9sdPjqaop0eFKp1JAx0T0lJNP7jm16n7Ylp6pACLauWHy/Sw3/f23J9M12/iR6tpHZmuR+OFMlLvYxFRHx6j5NTZnAL/d+ffqYOIKk2WdwS3HuEoVSxbH4q06qiTlpNaRU5y+GyZIgzS+uDYZDiltUw/XE8l0h4kPeWvhxAyrBX9w/VUBObmugwAfZi17fhwPfVTkmndePLD9ZQ5D+p+3RaPD9dTGaaojXVV+zo+Ppbytnob0qfHUl8C2fnh5HTNx+vp6T66eny8TL8g09p62ut+19PatLCnXU9b6GnlEv8Y3e/Xp9vTBnS/X52up/Xp9rQ+1NP6Mu1+v+tpXXp8Wp+up/XpetqAJj6qbH0oXU/r0+1pfbqe1qdNzF+2PpQ2db/7/a6nden2tD7d79en62l9up7Wp+tpfXp8Wp8enzag62l1uj2tT/f79el6Wp+up/XpelqfHp/Wp8enDeh6Wp0G9lR0e9rrfm26369Pj0/r00JPq5f4x2gTny5kKqSvc4+wkMG5undwHyAfjbs4N1lzH1WtIoigx2F4menAnB6GQV2e5bmJnpYtIIIZ68wGyvl/nYsvsmKfsBpHM12cTaK1PZWTVarKRfOR8wtNtZTeRntoGhijoaLSTheMUeO6L5wJRlURQzAxyFBljW4hQhzGQR+YS1gonpVwy5kKZxro6TKP8lP0VlVxLGEYx1HVqfohGlwfe2CCZqm5ZrgIl2XaVE+nYTBDncV13WCsXc1g+TDCJBX1j08kLrym05DTJfvR1J4KYQetRnV0/iqSZ1uTZYHZY+AIy9ajcBECvISLYUjT+FRM1gkxVfHV3pogvEOB5Y3HETKmmd8OlJSWYYd1vxhLtaj7Jz0NA6UJu1WhwiImG5RSVdY9l5YylQfmZpcTqp+6tm5wQz0VPglThis+iqvvb0a6GOO1lf52lQQ95ZziDEnKG2e25nw4NRPjlYvSOj69AWzSSRRCnrM8IeTeacMXJX2hpFOpV0qCj3IwI/9O/Apjdd55eUhS7rAUzXPTqyDDmpfexz42mziCQ9pXKRltnuSDkqayeb0kGJLxvMsJKJg62esQT5OZwQDvmXj3iXpq9Xk626C+T3Pac33zfZcZojjVY4SxpxmyfbxWkr8YlcmoTpaQy4PPvhVC2jND9BP1FGqqs0oJiROY5SutUcz7tpNLKntPw6hLSQIlqT2xsVcmluRK+DiOs3J6o7edU+Zpeoqo2fj5SFHPQD4DCeOf4oXNeGMQgue9j5Qk3DC5IVd+RIBwiWXnoHF1trtByvQpeooYfpLRpCMVFmlBHJJyiqAmpPY7FJUNVigp6VcqyebETUAUu0piCOx1Vk6JKx5MblFD4BQmvT0wbhqf3gJKFKAMyUtB0eSXy7EnJOSkK0ZhE6kkl0qCM9GrkoTT2xOvFMfbNBN02k9ElaxIiEb6ctE24errqcbl9nhmuLH8u+DY9AhhUhJQWWzHyKOGcnkYNlwWIbzkfnz8s/uCgIuQL8uPkqijsDB4W8zl3CwJ2a+AcrPC5yIoZOxtoaNi4iIEiKnkqpzzrwUh7riQ2xBm/MZjLL8LbFWaGZASxRT9JZfAeobdoF54Z6JBE9AKnIa2uhSxKGgBykRR2X5YeiNpkja5tOpCMo0C3yCY9VwpIpHLyW1eOBjIMaRVC6RNHkuzAZhGIUX66m5Bw3el5rMz0iplJwQr6VFe5o30PLcv0UyhnqVDoJ9B5eUJQN8sos7oXN5Tfce81/KRisQLTxslQUNpQbntYc8QS6RlA2hs4bexf/l8KgbP+WFGjd945pYeXk6YjSRMXGYcXkjL7NBi87CC46dzIfhJj/KSHtaa4ULoexAE87cM6upfMFPy7F8gFmSgPB4KhFWO7wM7Xj3I+SMoyaOk3DiyKkmHy10chTCkhHf+QLLMs2ujqS5JBEQb+R18+ybS7fKwG0G8mHXnPnSpUNOsIVCvkyuwA+LskyCvyHQpKJYEW5g/V0pK/59Y0o2TDEqvOkA83ByuQ3qH9tmXxUukVtM58bsM/iuaiJR+b3NLFAxXsoQEzmBSpUOQCwectd3mOOsm8GvrktgQD1DxbwYiCA/06nitmpLDIzDQ+DPvbZXRpwT6KgjAtirULqAzW2Mhr5EOzmfsNHQhb6Lyl4yG2O/77XJIac8hjEPmU1YHQmY1J1aXkXD4Jp5TVaeguWU7rbNR/hPMBjuJi1DbPxX8sDVAkw6ymw8iLWhTtleLUk2jiveWTGVSfjKbq5LuNoDAHY7D6eu8Vefay4ae8g8YyrsXFs6tun8qIHLeqqhy2XKfG1wzy1Y6HGkc7hkUYRca4hf9dxfb+5ZAWpDp6VM+hbcZEc4yEncLgvFuJVIc1ski3UUuPiiuJNUySO8ibNvNpHtV0tYVAYVkwezsP++w/BaxQ0bwTwuDVRuE2jfCl4fgiJZxYQ9qINilZLiSRo2DhQk5tsTRHfY1g9wH6eUUh7PRqwEkynZFG/Y04t8A4Vsj/5RhflyvfAiUEZELW2v0FlBTFfIiX6tMJClNRVpTUamhJhqks5Ur/jR+30qwdsLmiapV81/wFVtd/y1o8bis923v9BAwf9pMtVQf5n5D4noQWWPBHxzpMCA/vB/FPILwdlCVRrRKfTuzqAJj1MNfIu04snm0EcLDS+k0CPMgvsI6sRtgY0TZfBhE44wdK1vSJYILsXNVskMSQQ7bLthfwL6hw5cOITlX9Ee806b6A1gAhdS3/PUIQtjUI/ALcJRn2TyAkB5xudJTM3OFwEIPRwbICwff0ero1rA3pMo3CSSmCKfipYHeh+FgQXNomUe6/Jb50wp5beDbA0jo0nCrHfQhUAnopY6FasseieakbqWyfRRUUHWogl4ACa9VbO86ZKvhNyo3Q9xEIg6uIgYBbWK7cU2Zwv1RQ49G/Q1GndymSgqccimjDwzBvQjM/XB8WDy79NoH+0s4XKZsPgpbj7RqEPjDQqPaH01Ng4m/Z0wTh10/K6hCTN4iPGVrNLS//PUQbDP4ZZEymTqkqCLnUTWb+BYwRkP5B6qAqD+M5z7zIJMH8XasGI9dIPupR91Uwy69W3AI0+MyEUGz5aiRnhKBkELxdusHviKNTSnbvwlq74HagQjS2Qhf0tBosUlhcWvBdpA//UL73iVk1Mcqb+nYrNZ6/A+PphMIan6jfe8S0zyK6XEgVqUipFr+rghrQtQPGG0h43JYx++CdPhw8xSCVJz5pgHY++CQUm2mB8JU+KffzZ+WMEY9/uUIIMaxrkypoialvA8cHo6nff/TdeD6D7oY4Ztkp6lJyj0mGQT7z/FPGYYcZUvsH52AXWSAOWV2WvckpBn1g45PSPP7+dOKNKieG5fnELgN4kek+/bajcAH4KCJBxvo2f/0VJFyOCjTDTaG7M1UORkMKn0bnUgHtN2gwP7OWu1hM/LW00iDueVkWIPLWxtB/TwNAG0BorTNxeP6MkimWHcMBm0FLKpFiBltvnNpB6L2wLOfXJ4m5iISqQGUgsbi7CKeBxQVNtGHuLdpLQ+Wmhom/H5z9CzcoGCJUn+DMLrhMW0i3ezE+/b212P6qJY5oBs2myMOVwqT0UyUn+33E7RD4ZTNiQ0DuWeEN3WmUrvIDpkKy0CbF3nQSOqeGPIvODWmsn18+yHBqL6GTEO64Tl1YOu9Eze0gvca8pVtIt87HKcd2+lE2C5TBtrlQLyrMstdBVy6s154WEg97vBW8fq9kYfZoKecYiZToY2tNhNlinqvYph2qMem+/geZYNMfRpZQLX09pkNJ5cQFlVHwHFaj1hvx8E9V0/FNOgyYCPfxv9KMJ3ijYiwRDLfzQ1EcHezw+fa0yRTHdkmLuY7el8Gdjag3lM+2EzHxrv3h7tRyZP9PidWoafnS9tboPYTkGgWI4+MKgkSqnttVuYFT/b7nCRFpHHqSqn6gwsPAec0+02Xon+4K2PjfV96Y06Ew2zx+2X+itTbODw90V8hp3m4loBMYVQd3JUI94eot/T7V/WUs/2VTY5PLFtVZgutyfmGWM5mynv0HacuunuUTf3+NU8u3Kn7OyelaWvzzcG/DyIApKdpSFwKWm/TVk+vJHSS97qVIa+cYiq9+cIgg7emNKhsEFiZI60JV/UU1YhxaRpMdU5KXxcRx6FUJ5HnLLpJY3t6pTZz6A7vSOFgf86EV95+VSDIuXMN0dTdo23q969mRuyalHlE8eTOs6G+LH7uVheepkqGm+N2nqOnpWuSPQ3G6PFuyPU6OET/cjKcQ+aqS20Z81/XU45KSt+bWqHvh7EvA+cdmxAB2Aixslfy0rCKpnp6eXQ8DkNA3vl/achmu0OoDmdw4khlx+4zbF2aTKKlTC/rqZCcxHsxQfILx6X/wGmh0k0leUyU4RTtk4N5XZ7Cb+oppcm5F3ksL9YGtZmwnNOdDRVRDUrbiROVzP2Av6GnrOxpelPOa4HINLLGpP/8PX5UKp6YdzgvpRjC5LP6DT3lnW1Ga1zPOOGCLq7oe8AhvHRahOpyL4Tdt47EGk7zG1jXOSk3fmB4Gk0V8gqk6WWgrRH6g+D7+omKxfo4MIdn+UPWt6ST6wTKZ23n9zQYPPhqoPbRvlkzjKiQjmK9eM6LiQrZ8nHyOaktuWyvoO1k2Q5Xi0k9vCKj4/dVzx9QrKlqItBKmvTviU/qPHQxDN9zE5LwZrjczclBDywvBxmo7H8oUKoHw8VzpLUWrDDanlekUHPjDFs99Y8Zg1OglCZ9JtD9z5TmDOorPZdRcMycyYdVNckjrUihTRZOgNDn5g5pop3vJUt1nRqPFCPV9rf2RLtIcuGUMwxhSzOMZDtcGdjKZQqW60h4k96HPJO/Y6DEyPftAqXDMONi6JMin+BDWkci34GZ5l3Nk+tnD+VS75zwtMf4eFfPW7BVA+qKWmzTyNbUuZEmkU9T6eMTUFPJgfcQIf5L29mFeYdsIJFx5RUpLNcmgQWFPWClx1uurCPhBAe99Mq+GdiBbFXTOhK5psMCQLS8dxjbXPoAjuucB3w8wqeFMNYB0UVQvbmORPZOFHBupGdPXfjN+Z9eHy6ANgzjhuG/HHG3WEfC+Pk+N6cQpnY1PRNSKLrpHtt/1pEod+Snhd+6TM+47aPoVutIBKQGp3UklitSXEBwPrAWEwG/KJOKLmxrLWKHwal1CoI83YWZF+6/DscaDMPnmFz7H893202qYlp0gviF3t2Jorgk2AdFWsKO1k1b+zAeWkcCH33+bY6/CYKj9vrjh4E9pB+iqRzyG+D1256t19+0Lzl1eHuQF3FBwYZr3QBcOOt9w1nAXwzJcQtIo1oqKkKpTS6wsx05/aVRO38D6R6cuadzFXF9OGGn0+l0Op1Op9PpdDqdTqfT6XQ6nU6n0+l0Op1Op9PpdDqdTqfT6XQ6nU5nM19f/wOlfRacb8FhZwAAAABJRU5ErkJggg==)
physics-General
physics-
The equivalent resistance between
in the given circuit is
![](data:image/png;base64,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)
The equivalent resistance between
in the given circuit is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARoAAAEQCAMAAABY9kvuAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAALWUExURf////7+/uDg4LCwsKGhoaSkpKOjo+Xl5f39/fLy8sXFxYeHh05OTkREREpKSkVFRUtLS5GRkdXV1ff397i4uE9PT5eXl8rKyszMzL+/v46Ojj4+Pn5+ftbW1vz8/NHR0VhYWDg4OKWlpfT09OHh4WxsbEhISJycnObm5n19fTU1NfHx8fr6+s7OzsTExMnJyUNDQ9LS0qmpqW9vb/v7++vr64uLi5OTk+np6Zqamvn5+VBQUJiYmOfn50lJSYODg7S0tOLi4kdHR7q6ultbW2BgYMfHx+3t7YqKiiwsLGJiYrKyssHBwfj4+N3d3U1NTVJSUldXV1ZWVlNTU25ubrOzs/X19erq6q+vr4KCgpaWlsjIyPDw8CsrK0BAQLy8vLa2tmRkZB4eHhgYGHR0dN/f33p6end3d0JCQhQUFFFRUWFhYa6urj09PXt7e97e3o2Njaurq9zc3Hx8fGlpaYaGhq2trfb29mdnZ+jo6O7u7oGBgXNzc3Z2dmtra/Pz83BwcLu7u9vb24+Pj21tbcbGxtfX13FxcdnZ2YCAgF9fX6qqqr29vVpaWpSUlJ+fn+zs7Kenp7W1tXJycmZmZre3t5ubm+/v7+Pj476+vkxMTMDAwHV1dYyMjGNjY11dXdPT04SEhKamps/Pz2pqanh4eOTk5IiIiGVlZXl5eaKioqCgoJWVlbm5uV5eXtTU1FxcXMvLy4WFhdra2lRUVFlZWZCQkJKSkp2dncLCwrGxsX9/f1VVVaysrM3NzYmJiZmZmcPDwzc3N9jY2C8vLz8/P0FBQZ6enjo6OiEhITExMdDQ0CUlJSQkJDQ0NB0dHWhoaDw8PCoqKhYWFjk5OSkpKUZGRigoKBwcHC4uLjY2NhsbGy0tLRoaGqioqDMzMzAwMB8fHzIyMiMjIycnJyYmJhERERAQEBISEiIiIjs7OwwMDAgICCAgIAUFBQ8PDxkZGQAAABOl3W8AAADydFJOU/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////8AkDR/aQAAAAlwSFlzAAAXEQAAFxEByibzPwAAFdBJREFUeF7tXc2Vo7wS/RJgr6iUhnKondbaKgcloYUyYedz2LwY3r2SsMEGA7bb7WnrTs80dvdgKEr1X6X/GhoaGhoaGhoaGn4X2ibnnNRXDWeICh0RVH2jYYTtuqSUTX3Q9Z2GAh17x+/iu5TfaKjQpg9Fyihn8/eGCtV1TcYsQlxv6mHDHBK6UA8b5gBpRuHb7Jo5JMVKGkmuKe8pxHVF1kDoNLtmjlFD2RibpppDwuCV1s43HX4DCOIIeNvE8A3EhWBS45mGhldAmoxZgQ6p0WYRkoa+xSKWIM4PJ9Os4FuIMqY7xRzla5hBeQ8z2De2uYFOnRPjQ2yJlitI8kHEGNfY5ho2kyR462JT4DMob6C2JRilvWku1AS6ipgEn9vGmnBpAFSACMZ3ScZR4DS2OcP5Gu90HmaNhUDOrxpAC18oIw5cA4nTwp8V2lAEZ1hP9WRNU+CE6EBWKcfWkDRgm+ZlAuK6S2JFmSxmIG3akoLkjZPVo4oEFjgN5Y1vhjL+wiACsZPppLumwDVcg3pIgDRZ7Ijz3156xCz3VBnB9S4v5dvdBSa5p5QhaaqySt/NNgJ3+4o3TKykot1XqfSNgAi+tl9MHOkBafO9pIGguYnohW5cYHDGv5ZtYLzc8sV5QcHum0voLwKcggVPaeJZylyvfw9ELarnKWlgGn8l20BNL/kCacIpkhZ/5a+Dtt6SkE3TUI2KxTb+KoiLy4vF+YnSItt8G20ggidO5RRuVqum/EVhfQm0iSvVejOu4fr6MrZhaqUeXsPOSTMLWXwBIIJXUwYlAnrBd+UymYNblSDXpNFflZRacCovUOaKbN+Uy2Rcb/1mVbgiDeTSt7gLOt0NNuhw7VipO8vvT0HOOdxl3JIGHsV3lOUrf18b35KG9SXfQBpQ5r7kkFDj5hOEb/Ay9YpTeQHcphuuUl+QAodTuWnA2VtdDXL9eWnjdiSXtLv9lT/vLojdEMEZOoSbaLm4/m97mXC3d9wgc1M3y+ePlz5u2HpnaGf8dSrhj5c+2j1BcBGlrOn7ayLKnrX4jwLrZIsyWjmXQjDex9u45x8ufbzrbhfY2HfRmOCcuk1b/tkUuOTejPpiDY5joJSW5SbDP8s2awmEKcRChdXjW0jq/6TdB1tvz21Zf4eCfzM4ASdoXzhKmXhr8FX8xaSUaMObEg1BosvNUUfjRT6eAcbPqnGn/14KXCeaKbjpfhjqfUMqD0NvlhgEi2qNOc7TbT4WYIB6BMxeLKLkcJXvTEqxZzQGNk7EC98v6GOOLFwTxmPl7KdCqxRgexQNKxYmWrB3LxiCBqxiO0a/bcexewIy4b9oP+tc1trC4jM0+VZUEYOnWw/iF4F14SNsMzK96IDj2N0LwrBImiJYBd6vip0FPYeSJHADXhWIkCwGdjDIvmrb6bED5iPh8NxF0ok3JYn3Jqm7cXkukFn00nVwhfC/C7foOIz/UVQ/xJBg8JXXK3CfXMNWeNr2eXn0+alLGFbrGSBvz2tA25BbT3U4lRFzKl5oikUWYAjXV2vQ5oM7pUSRCrbPTz8LVUqQ05qhOikMVqbrcw+LDkMhl/ZnrsGP055uFnsTr/gsZIseqskMRZnaeFrRt9N6PZ0gSljzKeFUbGNwzWSx6RC3yxo/u1NKO5PvENw9lDtTF5kxg+BGZnoYfAZiQAyX4IudT/yE0Nq2d9VlgX4cxMa+zy05Z65R8bT8KCdlD5IFLPQ1/ouO5dGHK4oyeLxFG50+eB6HwP7wWdaEviwMWCsTfTsJKtiLYLC5iRCMBgkMb4hyWIfOzgUvV+qWM6DjJytw3CgXBoVxvkoshAll7NkChOI+v++yTnMdqOGcytlbZ5xKF3YTOFnOdFtxHVoD93/jt6AsxQOePheGyW2Agqeff5ahYwf7uFw82SIf8Hd7mHMR4luH3sMS4nqMEFL8oVjYex5mMIy+c4vqGj7W7nO5lBcC1P2ntM0vWC2UVTohuuvOJq0tTab5fShneE4kFTyoCDtQEmcTFnkMukXvA2Of27f9qcEJC+1kbYAchjJ2Wd2GCL/xLBvB8MmFGEEczYBufRs/yMgHJch5foMmj7F8c9tZBT61hg0aou97CksYwf2J5qwfhun0Lwe1JMr5Lgbl9tW2ijJHJsXuPOvbIcq6ImmhqRwP8Eb+PiK3T0KPJVh43U65AIrvZwV2StXDfwyjLKDPlJ2mPWDAoR5uAqbVoon5+VAXna3tmnN1Awm7IusZVx3Qnw45swcM/gf4XWqH9x7IJ7sLN9AJxky93F3Z7WuwjXk/bYL5XHfhCnB/Om+SyncHmXqcbY5wDal/5Ld/F8r3JtuyJIpd6DfdxLn5fRfu1mV/FuAtKLhAMIST1fqBGSvHuAZW4md7mVOUdD0ntsMQhoFc396Ny8iEXfiXUuBQqOAUus/JxG7csGc/DnLNLID46Tib71rB1juuQI5oKEDsdlnKp2Cakr544rsh/uAmP59e+qjhPo3PDmxTjx7CYXX84dN/XNdTJeWbUk95Noe5BkrRaa2VUvY4j74BykcTY8jEkac8m4MaimBwMDCD85FSh8EqlaCwGSCHQ1zffgDHuYZLypiQUqxJnw+DjZbBTeN9sOqZqC1Ic/jRaywlzVDPJy4olojwumAI4wkyKl7ePo5HuIYQdyAI9lbgygo3iw0xPhMreNBhhLT7VLNYnasdRLvw+KJ/kGv0VlveL0Imi6hkbx/DAxoKgHuytIaF6YrJ8Z5Excuh3YtKFx7imsVuGYFSN2bcZAoLHWIwPfHQHgQz+Kv1ZcfwgKxhw+KtchLnPT3cLJ2189HDuFisNv1RQAi+SD08wDVUTiNlmPerh6pjaZPte1hZknoml1UcHhPyj4PF0vXwWRyXNWIjOBaAbWNhGI87ZZYaWoncXnQs/LL98FaLWcS8LiF0mGsEHJsUC2pZk4pFM5o3IBX+1bn82PVd5iblT2/NQczmSz8LkObYtUsYBlAEAjeE4JKfpYZFhVz1l/oyOFObt+6uBHH3wo87zjX0TkxyNqcxZk4Kw7CZUpKGclaS5n1cw5mDr3wQxzXUJCo4H76lWWya7a0J17xvQcmL+9IfsmtGyNV0Ysjl0GdZ05Vxq8q/0TtnSdYrn8Nj1nDFwuQX8VxLOpbCMJVbJN4Dfdl6+yXQbm+9yS1E5XaQETplaoTe89/i8aZphfLPgkPSXidoGPAx7Gh57JQcO1APCfrieBMqi91pOZXHqTgQ1/UXfhTs2n6VoGGRUog+Wdj36ZHLvx4nytYrl2vqoMRSXvcwm118y9772XOqx08CDzbAw8nBZSxSmrf1J7txETTF4RYLBdVnr8l2wzBgsaV+6Fmx/PNQUJX18Dmw5g8MM2YE4MYfN68vNoTkYjrQhmmGzH9s8WQjkVj1nvWkXrPLIO4keBOK0CzI7xw6t1DQqOwvUFqZHS0gPwiWv9bDJwCGKYGU+rqCXXpHgivi+t6AKhTjcBkuntRvYGt83B6Q9VlbvKCScp/ChJE2IC520Qf6CyDoCyMBD0DszIh4BCBM8p13K8yBu41jgGEHcn12OZPktunfAjynJ8N6UNYG0nYqFhl0IcaX4Cjol+Of8spIwHHsGLZyF9m6g6id3AJlb2Sv7mUt8JcOME6FhXn3i0zzXMtNLkE/N75UUJJ6oPTmFVDiHA3n/mo1MTsGH/ftmadidvz6BGIYxQWrdNN9zmEJ3o4Tuwe5N+Llx/FEWI86ybCj45blta+7q9l5oI6qaj/jQHi/NcQ5h9hH08vZuoPBUitx5tClXRyMclVnBdNydwksFSf+828RZ2vq6yrIAN3qQARVG3jpQc+FBUwoME59cR/wXWAUz1ts3ocHPadSYrIuvcWNYduF/DU+c5/cT31XLOLHHt5zWEkvb0DDH4C1esdKkTSGbZfqXZmKPIcqZBwNdAvOfQkhJfMLG2YyvXyQWaX0i5n10SKEDmPYdrF+nzFoqCr+AOty1XmDwZg7FH9hLzKmCo9+Jns64uZ0EeVrcBJm/qL2xUfnKCYk7em8HdsaxHQHzaFngbvct4rFViuWfhI7dzev08aaNrdr0eFq/8G1GmJ9ax2li/iN2By8PUKbrhgjnJ6xK55p++Ku3iuv0gm+dTQg9uYJ3zyILc9Iq8cbUBF2HW9xb5pK0gBf0zlYyveiQMomA6Mx56ogVvJ7y3hxfmwDEnY3OGnoCc+Ygg479WgaCrbsbEji2lKv3V2F8M4BvByPsXHdZzMUFLHs2mY0fx/X5PgtsH074rKGUqHv7536jft14Iq2PSddLRdQxJYI73RXuRchGUdlDnF899QMpL+Fb1a2GpwD9mAhHwwLSCVQ0/vpEI6XQLBGoa18SPdPvbbP3cuxyz/Q8VRiCKJKNT4W1Y+QBnrcQY2fT71IAnlZGd1dKHOZtHKLc1QW5jyLpECkLqfCRF9v2fM8+CH0/UGafOcwtleoDxHw82yj7ye3x0yyBK9UnnUlY8X5Jdb7Kojvcz5ZF9JApNXZQjfAkvpp40b+g3K69xmuKxEVSl+QEXLAdj9mjebZffgOdw6koRvSrw0ELFUAPwn6B3c/Ig19Kd3laBZcEWya4ccuSlRxQvAIuKp8DKsEwJr7WUkMmbphWYKpmG3kYyqGqqtP9ifBkhBmOWFArXIojZufpA2YYOP8UNV5DCNTz+U3l/ZceTFUMHAr8ARgHa8+BvWDXVJMk25S3tIIg26ycCvHX33Nw4LuuwhyHl6kugpw1ChmyypeBtNC9fD12GM5KWpJCsRgztu3vwbg2A6mUj6mBTxpM1BmKArI3auqELiZW5f/IJi92Lrb7BbgO8PilcOYbQLDl1WVc5XhgSVGTjQ+9tnZgLLOGbxxdYsNmWT4Jaxkt3b6MuT2B1A6AOqLZXBGQl3QkHrlQdKQZw9t9i34gqOaj+Yh8T/Bh7nrgnfnYgd7SYfhbOPW09GYghpYKaz4MUm8lVlhuYM5P0jwWGEx7QeoD8uZhKRulzSW2/EieJ3D32JIGlh62cDWXZ05OoL5ShAGumq56OJSr/VS6I20v3AKXSnBqyhisiZMDO9G/CnTy/ZX97QD+WzasyhkTPhKGK6CfOZ/lEYcXbfsALtH5uhsAcx4T8Ix8MuhhPX1BJKj5KXjxvblnshJxy9RIFJyesBVm/eGNJJqsFXBtVq6XDzfu5z/CECZO4E0Fife69kj4cguIM35ntbPtgIaj5yEztNUd+DGZdJjrjKHKhYE2kNTu+4Cant9lVLGzAtk5uDDLvlnN9TeiUdIgwXb5aEDMpIGFF5nPtg6C4xDN7MevgizDpo5IGM2cq3aDKc+6wY3FFuH93SYNIC43CqooKDyy1pssgLH+pTr69IxvjLgtx7WgwZ1LEK8/2kc7cPJslxQ+TxlBO8xFDEcck7OlHYI3d0NUOWw67W2fq2byY0jlrkChIGuvJ+mLdCGvRMSy56MpdfvECTlFQu+wwnwqTyN3XJc2Z17LQE5J377endiVTnlcMy6jCmQMuon9cwzpjIyy9bNAQ4ACwHUBLsZURZSH+zCDTHVvZWMD7d4dFectRVWOYAVFqT9H3cUBNSR7uy40Rr8x3tK8D7vLYUFQK7E5AKWEK7HGPKL6w3W6QaN8Vxh/9UXBS8L+EFnLlA5EwYGXn15B1hKxtoEAjFrBBtAmIXGSevP9wKmChQUWACSr++ZDYfk6opZfA9gnDjPJ0MEHXwuy2BY7+ZEudIX6noP8XlpHOGNZcVdBWiJON7TUdJA4iuV2zrKAfwF5vF2PByq8Vk5j31N65ZeaH9gqNHkae+7oPOoZlwaLEPLqLpwVPNLHtw+8HqnK5/Csx4+gQURzH1dx9EV/woUmHyilzhDfw/H3wME5lwEl/aTbeH7acCNTASA7Nzd9w7AibNVyQ43OPw77JiPw9ypkie7B6i2p5SB52vW208+HjqNcUfgSTcz96zUYwC6FybCv8gxFZTGZ/vvKeOGlDlTmb4S5wb9u4QBGBsZpfFTpVoM0YyU0HZvId5nA4yD28hHtntYmVyUUzbwYJn/84QBKC6LNH5cEp9FsOSqp6WI2aP4XRKTcbJTBWP2oSWFExTPKbsE0/bi5zHdZWIWarqJO/0IwDisyaFx84hNDE7J8ip71zuqoI+Ap66HuMyJWY0X71m0DHHhnhgGOP55kN+4fApfGNj1vRdBQneZfjnb6JL7F76FNHlRQVw8UofOsB4eIgnzuIZbge68OdcHObrk9RgMvlZ4/3poJhP1eYi+VhZY7bYp21flowSxixVJy/rVjxHi3bkaT2XN+sVJ0968sdOCodsEgcpHL2L6jlixkKGH6k/YNsgswcYGy48BBKAjVpjRwcgYTS+x3r0+S7SO3OFYm2o11rXFE1te0BL+NybXuRGc/6kOK5axiqtJTBPhl9Uq+TzP/q1bYNFxyJUXuJ4Shl/eyUzFYey1Sd1wOsX0Irj5V05oqcK6KhpcV2WbvAvCuAWWwm+G/PVq5KsY//jTULbdLPt1qpxIvIaEaEJtIXaxy0sv4g+/yj/lmO/lP/XrMLKYYd8CPzOL4DILDfINl1U23GP3+PiBV+A79W+9kPKHX+e/u8Ez4p6l7kmZ+iXfwXZe4Sflhc5Q5z/lW/0av+2FHb/Kt/LZeR68KoP3QCG8WcVMHnHNSBM+4/xn8pXfmF5K/nsM9VryX/x/fF7XO83alqUmkJwidcf3VXkUAmGMpV64NLdyhbLxGCSO/KfqfrTvgur/N/SM6C9QBqsMb4/da+9AMva8MRIrO/A3fzatd+1eO8ZuC2L7PgQTzJJ+1J4XA/q8jTRYTHYMJtHUGf0ZmMT4wftUOAEZU4q8wsKcXTf0gR0Fb+uo4uTASwgRwveiG+D7vbwD5j4ghQuXutONGNb+f6cTFPbpfRMO4SJcasfETbKQ0I/vlTSsScnPQha4Buzi4ELAGtxMk74MkiaCTcLFwJT0Q8bmKhQT6bAY4NDdfLIvDU7i3jPEL0Nkchmz+QfyNj+qwg6D994wI1vfuaCYyZDUp6uCyu8AnSmilGXPMcYFoB2+kTT3MNJj0hDR0NDQ0PCnwb1DxsCz8MX6ZKcvA9NkfV+rDRgo6Q+OI/yz4GDuEGKfDfPywpdS/a+HztM9dcyxs5AdfpbYv9l3+kjoPIuafV80wYu/r/L2TQ156ShObRFbB5QIa+x58PXIZV4MkbvaCcf2g7cG9z4VOtW94dg+likioQYAvh2cABFzDHhspATXvC9a9OGoYU/VFVkDofy+8OvnopjBEk5sH/Nl7yS7nAb6NkhW3pxNCF3lcgBNXO9auIi2DDlFsZ9dcaYL2EWZoFxbUTB9+2iCj8zudj4yawpp7PPWVt8OcEqfB0exgA9kwrLqu/69+dxPheQ5yflI5x1fGZlosqahoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaGhoaHhH8Z///0fhATLGBGfwyUAAAAASUVORK5CYII=)
physics-General