Chemistry-
General
Easy
Question
The end product (b) in the following sequence of reactions is ![](data:image/png;base64,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)
- CH3COOH
- HCOOH
- CH3NH2
- CH3COCH3
The correct answer is: CH3COOH
Related Questions to study
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Arrange the following compounds in order of increasing dipole moment: Toluene (I),m-dichlorobenzene (II), O-dichlorobenzene (III), p-dichlorobenzene (IV)
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The starting substance for the preparation of iodoform is any one of the following, except.
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If
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, then‐
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and
, then‐
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Cl2 reactwith CS2 in presence of I2 to form
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If the two circles
and
have equal radius then locus of
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If the two circles
and
have equal radius then locus of
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maths-General
physics-
A particle moves in a straight line obeying the
graph as shown in the figure. The average velocity of the particle over the time T is :
![](data:image/png;base64,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)
A particle moves in a straight line obeying the
graph as shown in the figure. The average velocity of the particle over the time T is :
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMgAAACGCAYAAACYCsWCAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AABC4SURBVHhe7Z0LdE1H28dRbbX001ItpSg+dy0t8bXVqLYWFkW0vLqIeyXupa0WRXlXsUrLG3WXEBrXoiiyFIlERAWpiri97qtyk0hCEokk/y//OTuVyMmWyDk5Z5/z/NaaxZ494pyd+e+Z55lnnikDQRAKRQQiCDqIQARBBxGIIOggAhEEHUQggqCDCEQQdBCBCIIOIhBB0EEEIgg6iEAEQQcRiCDoIAIRBB1EIIKggwhEEHQQgQiCDiIQQdBBBCIIOti5QLKRdP0UDuzZhT17AxB2+jru5tRmpcQiIvR37A08hhu3s0xNBcEK2LlAsnDzXBAmu7VApaeaYeqOv5CSU5t5+xqWeHZH/6krcf6WCESwHoaYYiUHzUXrl+pgzNbLpoq0CCye9R8EnE82XQuClTCGDZJ1EbN6NkGDzv9GVM5l1L4VmLPsV9zIMN0WBGthGCP90obRqF+nLRYeDMeOFQuwLuCqdkcQrIdhBII7YRjp2hCNWvXCzEW+OJsEZKSlITqKY4ogWAfjCCSHowt64IkKDfHNr5fUdeCBA/D19VV/FwRrYCiBJJ7dhcljpyL4lun6s/Hj4e7ubroQBCtgKIGQrHv3kJ3zZ3Z2Nlq1aoUmTZogNTXVdFMQLIzhBJLL+fPnUbVqVVSuXBmHDx/WagXBshhWIKtXr0b58uVRtmxZeHl5abWCYFkMKxBPT0+UKVNGlSFDhmi1gmBZDCmQpKQkuLq6/iOQt99+G1Hi7hWsgCEFEhISgho1avwjkCpVqiAwMFC7KwiWw5ACWbRokbI9cgXCsnjxYu2uIFgOwwkkMzMTHh4e+cTBMnz4cKSnp2utBMEyGE4g165dQ+vWrQsIpGXLlrh+/brWShAsg+EEcvDgQZQrV66AQFhCQ0O1VoJgGQwlEK6ez549G9WrV8e4cePUQmHdunUxadIk1KxZE/PmzVNtBMFSGEogGRkZylt15MgRdV2/fn24uLiov4eFhanRhTaKIFgKw40gealdu7ayPfIiI4hgSQxng+TFnEAEwZKIQARBBxGIIOggAhEEHUQggqCDCEQQdBCBCIIOIhBB0EEEIgg6iEAEQQcRiCDoIAIRBB1EIIKggwhEEHQQgQiCDiIQQdBBBCIIOohABEEHEYgg6CACEQQdRCCCoIMIRBB0EIEIgg4iEEHQQQQiCDqIQARBBxGIIOhgE4GkRJ1BcEAADoUcQlBQGC7Fp6n6hCt/IShgHwKORCA+NUvV6SECEayNjQRyGr5TeqLWC3XRffxynNMEcitiOyb0d8PInwJEIIJdYLMpVtp/t6FztcfQ0nMVbmp1yWf2Yc6UGQiIe7g4iAhEsDY2tEHuYOekdniyVlf8cjYj5zoDIRtmY+ayUBRNHiIQwfrY1EhPOOGNdpWfRrf5wbh95yq8p36NX68UVR4iEMH62FQgSL+OhQMa47nmn8JvwwJMn78Xt7VbRYECadWqlXYlCJbHtgLJ4epvM9G8YgU0eLM31p5N0WrzkJmOtAzzo8orr7yCpk2b4s8//8SBAwdw6tQpXL16FSkp938OT5zi0W337t1Tx7NlZRV9hBIEmwsEKeGY4FoDdbv/gOgHTk9LvnoMfsuWYPkKX/gfv4LMB+43atQIL7zwAnr37o2XXnoJL7/8shKNj4+P1gLqaOjmzZurQz554Oc777yDqKgo7S4QHh6OsWPH4osvvsCPP/4IX19fDBkyBB9//LE6C/HOnTtaS8EZsb1AkI3wX5ZjfchF5Dt+MyMOW2YPx+SN13A3cg1Gjp+HsBs05u/DDs/OzwM8KYqFCxeqTh4REaG1AOLj4/Hpp5+iU6dOeO+999C9e3dER0drdwF/f381TWvSpAnq1KmD8uXL46mnnkK1atXU0dIffvghdu3ahYSEBO1fCM6EHQjEPPfiQjGxV1d4HedFMMZ+6I7lYTdMNzUsYYNw6sVR5sqVKxg5cqQSxQ8//ICgoCA1snBkYt0HH3yAJUuWiFCcDLsVSNqN3RjR5SP4RPLqCCZ0+ghzg66pe7lY0otF+6VGjRro2rWrsllyoX3z3XffqekbhdKmTRtMmzYNN2/mrt4Ijoz9jiDxYZjyrx5Y+GfOReo+eHQfhNXhMaabGpYSyO3bt9UIUalSJRw7dkyrzQ9HmWXLlqFBgwZ4/PHH1cgyfvx4NfLI2eyOi90KBBm3sOc/YzBxZRjO7f8Jo6YsReTN/B3RUgJZsGCBGh3mzp2r1RQOxbR27Vq8+eabSlDlypXDiBEjlB2Ud+QRHAP7FUgOd6JOYftaH/j6bUXouZgCK+yWEAi9WBUqVECHDh2QlJSk1RaNLVu2KG9XxYoVlcAGDhyIrVu3yojiQNi1QExkIqOQ/lZSgfCNT+8WvVahoaFabfHhGsyYMWP+EQrtmOXLl4tQHAADCKRwSiqQ+fPnqw5NI9wS0L387bffonLlynjyySeVC5pu58TERK2FYDScViAnT57Eiy++iLZt2yI5OVmrtQw3btzA999/j/r166vR6fnnn8ecOXNw4cIFrYVgFJxSIGlpaXBzc8Ozzz5boqnVw6BBv3jxYrV6X7ZsWWXrfP311zh06JDWQrB3nFIgS5cuVVOrGTNmaDXWhYLcvHkz+vbtq/5fjiqDBg3C9u3btRaCveJ0AuE0p0qVKnjrrbdK3Ta4e/cugoOD4enpqYTyzDPPqPCXTZs2iUFvpziVQNgJu3XrhieeeEJ5nmwFP0dkZCQmTJigxPr000+rWDCur+QNpBRsj1MJZMWKFerN/eWXX2o1tocG/dSpU9GiRQv12RjS4uXlhdOnT2stBFviNAI5d+4catWqhddee83iXitLEBcXh0WLFqkpF4XC8PxJkybh6NGjWgvBFjiFQDj379evn+p4tpxaFQVGC3M1vkePHurzMuarf//+4vmyEU4hkHXr1ql9HnwjGwVu1KJB/8knn6jP/txzz+H999/H/v377XIEdFQcXiCXL19G9erV8frrr+Pvv//Wao0DtwhzhX7YsGFqQxdHFRcXF+U2NuL3MRoOLxB3d3fltfrtt9+0GuNCF/U333yDV199VQmFm8W4i/LixYtaC8HSOLRA/Pz8VEcaPXq0VuMYcA8KdzcyTIbfr1mzZsozR0eEYFkcViDMbsLNTfXq1UNsbKxW61jExMQog97V1VUJhV46GvTcHcmtxELJcUiBsHMwUcNjjz2mEi44OqmpqQgMDFRh9lWrVlXfu1evXsrzJQZ9yXBIgWzbtk29URnS4WwhHAy+HDp0qHo2fAYUDQ16STbxaDicQDjtYDI5zsud2ctz4sQJTJ8+XU0xKZR3331X7U2RZBPFw+EE4uHhoTrExo0btRrnhp4vhtw3bNhQPRdu4uJ6EENchIfjUALZs2eP6gTcGy7RsfnhyLF+/Xq1HsQoYu6FYd6vs2fPOqxBn3Uvo8gnBRSGwwiEnipGxDLY79q1/PmzhPvwxbFjxw5lmzCSmC8UOjQOHjxos6wsXAy1dM7k1NgIbPvlAIqXhqMghhcI34iEoeP8ZXPtQygav//+u3JkcDThs+vTp496fqU9olC03Dw2ZcoU5XUsech/IrbM7Ifuo9ciXat5VAwtEObm5RoA04QyUQLfhELxYSgL98wzMJJ7Uzp27KgWIrkTsrTg9JgJ+RhzxuyVjEGjU4HRzOnpxejmyZex+bt+qFnxcVRv7YbJM7yw++T1/Hmfi4FNBcIoW3qaHrXQQ8N0oe3atVP+fwqFianNtZVivvB5ca2EU1S6iCdOnKjWUdhZueho7t9Yo3Bht3Pnzmokyy1MysfEGgytYSzazz//rJwOzF/GYy3Mkp6MyKAFcK1VDU27TYL/4RO4FJOMQlo/FJsKhKvAeR+IFOsVdnpz9Q8rTDZhrt5WhcLl5rJRo0Zh3759KjFGAbIOY2CLOmg7zNfYUyz66jkHftTC1J9MqcNYKxZzbR5WmDaUD5t5dseNG2e2jdELXbtMQdSzZ091DgpHic8++0xls+f3z9uW13yWPCOFHZLu4bz3rVX4WZjO9UFBPFjohOEUkJ/T29tbrXsVIO0g+jerDZch3sU6scwchrdBWrdurV2VDMYvnTlzRrtyLBjJzI7OTVhfffUVNmzY8FBPHz1a7JDMGFlaDBgwoIAg+ALs0qWL2pbMtS2+VB96qJEIxIS5hcKiwNilS5cuqTnt8OHDVdg4T6pauXKl1sKxoFeKWVxyOx3n9nwTMxqYb252PNoAeY1yZnxh29JyfOzcuVPNCLhGQ5uS+cPojubefB6CVCzSAtGvaW3jT7FKSlEFQiOUxh09JdxPwURu9JZwn0hup2EHonBsBUPYjx8/bpXCty6nVZy/537fvIVpUunkaN++veqY7Kx0AfMeXyDWhmsg/N1wysQNbhwhCjXCi0JaMPo3yjHu+87HpdgY3IiOR/oj/jiHFAgNNx5HwCC9WbNmqQzsTILwYMfIW5jEmml3eEahJUtISIj2qfTh0XDmPpclC9/Q5urzFnqNeFYKp2K8pn1gOLL+hte/mqNCpVro5jET2/64CDPHwxYJuxRIduIlBOzYjHU5U6D1vwbgSiHLoYUJhNODNWvWqD3cD3aA0i4847Ao7N69W+XztUaZPXs2GjdubPbzcZGQz+nzzz9Xb/DDhw+rN3hpT7EsTeKFIKycPxfeO8OQWIKoI7sTSNzxjZg09nMs2RqMsKNHsd9vbs48eQq2n7qltbiP3hSLi0s8FYoLTbQ1aGy+8cYbKj/ug52EhdMuTiv27t1r0ZL3QFFbQYOci4B02TLtKfe002vH2CyOtOY8QVzN5nNx9sVXuxJIZvQRfNG5DXrP3IHE3DljZhzWjO8Elx7f4lRS/nid4hjpNFRp7LHDrlq1Srkx6U+ncc6sIUzswPm6I8KzShjAySkfMzryOTwsmFMEYsKOBJKNCzu/RL1a7bDkSP5dcDG7Z+K1mk0wI+j+8c2kOAIxB1fyKQomPmC2d04xLB00Zw88SmyVCMSEHQkkA38s6Y0X6/XApsj8nfTeH0vg+koNDFxzXqsxUVKBPAgFY60w+az0FNyKj0NMdLQK74i7GY+EhHjExpiuY2LjkJCUgnslcN5YEhGICbsaQSJ/GYmXa3WA97H8Poc7QT+ibe3/xUT/61qNCUsLxJpE+E1G53fbw63/UHiOGIY+3TrC1bUj+gweDs/hg+HW6R10cJuCkAT72JshAjFhVzZI6sWd6NOyMQb+lNc1moXAef3Qqr0HgqPy71fgWgYzlxiB3dPdMeTfPjgWEYkzZ49gapd6KFO2Pqbt+gtnzpxG+P5VGNppAPwuF3RG2AIRiAm7EginWeGbpqNP3zFY7X8UJ8KP4489KzF20DD85P/fAhGZzNwxePBg7cqeycTR3XtwLil3ITIFq4e1ReVn/w+rr2hVOVz234HgaPvIQiICMWFnAiHZuHZ0F7xXeMNv3Vqs9F6LwNNx2j2jko2sfOqOx4rBbXIE4oIV5/IGQ7CdfRghDEGnQLgvw5mxQ4E4A4UJxH5g2I2Pj4/TZ5UXgdgE+xeIYEIEYhNEIEZBBGITRCBGQQRiE0QgRkEEYhNuw3uoC/4nRyA+F+1k6VwwiwiklMlMT0Hs1YMY93ZVlClTFeM2RSI2MeWR09II1kUEUsqkJlzGgbVzMdLdDT17fIRR05Yi4ORl2G4vo6CHCEQQdBCBCIIOIhBB0EEEIgg6iEAEQQcRiCDoIAIRhEIB/h+9RhcYUDRIsQAAAABJRU5ErkJggg==)
physics-General
physics-
In the arrangement shown in the figure, the ratio of tensions
is,
![](data:image/png;base64,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)
In the arrangement shown in the figure, the ratio of tensions
is,
![](data:image/png;base64,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)
physics-General
physics-
A dynamometer D is attached to two blocks of masses 6 kg and 4 kg. Forces of 20 N and 10 N are applied on the blocks as shown in Fig. The dynamometer reads
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)
A dynamometer D is attached to two blocks of masses 6 kg and 4 kg. Forces of 20 N and 10 N are applied on the blocks as shown in Fig. The dynamometer reads
![](data:image/png;base64,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)
physics-General
physics-
A wedge shaped block 'A' of mass M is at rest on a smooth horizontal surface. A small block 'B' of mass ' m ' placed at the top edge of inclined plane of length ' L ' as shown in the figure. By the time, the block 'B' reaches the bottom end, the wedge A moves a distance of
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)
A wedge shaped block 'A' of mass M is at rest on a smooth horizontal surface. A small block 'B' of mass ' m ' placed at the top edge of inclined plane of length ' L ' as shown in the figure. By the time, the block 'B' reaches the bottom end, the wedge A moves a distance of
![](data:image/png;base64,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)
physics-General
physics-
A constant force
is applied on the block of mass
as shown. The string and the pulley are light and the surface of the table is smooth. Find the acceleration of
.
![](data:image/png;base64,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)
A constant force
is applied on the block of mass
as shown. The string and the pulley are light and the surface of the table is smooth. Find the acceleration of
.
![](data:image/png;base64,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)
physics-General
physics-
All surfaces are smooth. The acceleration of mass m relative to wedge is
![](data:image/png;base64,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)
All surfaces are smooth. The acceleration of mass m relative to wedge is
![](data:image/png;base64,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)
physics-General
physics-
Two blocks of masses 10 kg and 20 kg are connected by a massless spring and are placed on a smooth horizontal surface. A force of 200 N is applied on 20 kg mass as shown in the diagram. At the instant, the acceleration of 10 kg mass is
, the acceleration of 20 kg mass is,
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7UQSquGhr9Uh11yvS70nchtwjV0TJ/4ubNm6LTpNH5n3/+Keo0z0Uuo/PnzwvXUuHChcUaA4K2y6BROGX/0Dko+4jcRNThHzx4UNiQyNB5dMWGXE9Kyujq1atFHa04pV0naV0CvRd9JsUt9fbtWzRo0EDYUfqqEuh2cXHRSj0dNWqUqKfsJ/ouFAQ3NzfHqVOnZIusTbIANGqsPkrCuT3LsXTLJalRixeY01ly44mStxxWBmvfCO9Cg+BpQ+30IPVcWV4AKAZ14sQJEefJTnGb9IAFQIcLa/uL9iayCyh06wjkVh+X9BoN3US/G3snoYR8Yzi2npQsAO9fx+JxRCSeRITj/r37iIx9LTKE4p5HI/zxE8RrvC35tsndkF0E4P3798mj8SFDhsi1kpCRf5/qqWOdN2+e+LtGjRp4/Vp6JhP93spoediwYaLu66+lB3grx+Rrd3NzE3WLFi0SdT179hTHrVu3Tv4/U9YfUICW3DwkGNSZ79q1S7TTZ8iXL5+oI1EhlFnBoEGDxDF1BMp7TZs2TdRRx0ACRa8ltxXNGkjIqG7//v3ChsSjYsWK4nUkYJozoLQCxlmNFAGgGUASXr+IxWud5+cqHJr/PczUtmRvbvcNjj2XGxReXUUfdxr9kw0JwDm5Qf0bJ6YE/BM/fkCi0t9++iiuJSVfiDp9EmZb21J4Eqk/e+vfZPHixWIAQfErcjemlZ6c02EB0EERgKbj9onj3T97iePK3ZdAd4AffvIXuOROLQDPr+1F+zoOKFbKBe36DsfksSPRv1cPDBo1AeN+8kUzr+YY4b8OR4/+geVLl4odSck1QSPgrM5ff/0lvi+NxnUXWykuH7qplM5W6VgVNN03K1asEB0rnYtcKgpK5lCrVq1EJ0y/Dx1v2bJFtgC2bt0q6mjmQOJBf1Pa5ps3UrCSULKU6Hw0MqeRPpVz51I6KIpHkA19XurIKQOJjsktRNAIUZld0NoCgt7byMhIzEKUHVxpIRzZ0LoIEoisjt4gsF6SEDi7E0zVtmRfxLUv/tb1ciWFYYxPOdGuLQAfcClwEVrVrYkKlV3xbbcBGDdrPhZMnwQ/v+EYOtgXXTp3w4y1+7H/yDEUUQttcWsb3LobJr8+/aBBQ/HixeXPrEK5cuWEeFNCQlrrWXIiLAA6pAiANNpb1E0KFNYbEpDqaUDR535DNTnzwYEEQD5dzJVNaFDRGV2nb0fohR1oZG+Jr7rPRWTCR/UoKA77Z3cWN1Suws6oU78RLNWjTRplDh8+HFOnTs3ShVwq9H2bN2+eavpMC6KojQp1kPSddDN+aJEXxQ9o9KW4iNq1ayc6XwW6CSm7iEbhNOonG3qGg2YmDnWyij9fmXnoig3FJ6ie3DeU7kl/U2xB009PAkOvpwA2uYgcHByEnabYKGsUaP98+vzff/+9OO7evbtsIX0vGsFSvTILycr8YwH4/BxzOlcQtlRsvEchJlWafxRmdJTWTOjGAN7c2ohqBS1Q+/tpCL5+DqN8qqJYpW+x/3qUegbwCseWDUIJ9SDKLJ8VjOj1Ftb4/ch1+dXpi3JtaRYajNAsdc2aNWJ2ntNhAdAhRQDIb/0B074tK469RqW+qWPOb0T1AtKF4/DtVJCHOPb8Bnzb0BPjNkhuh/W+5OIoiDmHY8Wx4NVlfGuvFoASnvAPCkHVSik3WHYo1LlTZ68LxQNoRK7Y0YxAH7179062ISHYvXu33CJBwqIIjVL0rTEgF5TSTsFfXRcadcpKgJlcQfSv7lYT5AZS1iBQBhLZkWBojuIpK0gRhsmTJwt3E/1NnagmtNUF1dMMKKtD2Vr0Wf+bAMTd2gK34pawsbYU9g6tpyFObkshBrO61BTtJADdF0vXfvztA+jh5Y7eM7eLe+PCsq6ik+++ImUGpr5jMKmNdI+pVKYoZWeP0HvpPwMgaAYqva/+QoI/ePBgMWOkLLOcCAuADtoCkIgZbaWprdeo1IuKok6vQ5V80sVSrv00nA5aj++afYM5u0Mkg7f3MMDNAiojOyw/rXHbfHqG8c3U00+jYuix7AK+qiHNMrJLIffNs2fP5C+jjbIylkpaI+Fjx44J1w/ZUDqmEiPQRHGpUElrq2wKLivnoc5XX0BvwIAByechvz1tJ6ELbR9BoqbYTZw4UW5JoW/fvqJNGeVXr149VadAgkCCRgJBsxEKjGfVQu4s+h6UMps2b7C4ey24NB+MkZ2luI9jmxlIvSLiKaYnzwBM8MOaq4i9dQjdvDzguzAIb4VNBEY0pAe6W2LywVBRo3BgRsfkGIOzkxNiYzJm5E0jfLq2pM+ddqFrjGa8q1atynEZSiwAOqQIQKA4XtXXVRyTC0i3ewk7uhhl5UUzttVqo5yVMczKtcWlV7JBYhQmtaR88vwYu11jsVHSC4xvUhQqkzIYuukSqlepKEae5FMmt0ZWLUqOPuXSpwVNncmGVsim5QunmQLZUJkzZ45cqw09rIc6U7IhUdHXuZOQKB33rFmz5FptNN1SM2bMkGu1oc+jdATUeWvGIxQOHz6cfB4qtOhMF/q+FPTWtMvqhbKY0uLa1tGoVKUJ9t9/g92jpViYbYtJalnQJRwT2sizWBNzNOnui4ZlCqJqt6XqIZRCOIbXL6m2McPQzdq7wp5e0hsW8ucpV7682PDv0aNH6V7CwsLE8xCU3+KfFJoV0KCCMojS2pAwO8ECoEOKAEhB4D/9pb1lKnRdCN3Y1409KVlA5VoMgF/nhuLv6l1m46lsfHPnRFjnVsGp1ThEvJfq3t7ZDVdL9Tnbz8Kpu5FwtJceCBMaGir801m1UJCaOtrr19P20dJNQe4aCvamBWXWkOuBYgBpjagoK0PJEEprJkGBPBIaihfoumMU6PwkXJSvr69jJyjoRzc2vRfFI/RB313J/KFZgG5sQ4HWC5BNdilpCcDzK7+jRd36mPeHFOQ+Pa+TsC/qMRSPdXfyeH8bQ70lV5vKxAK1vb9BKTMVzGxcsfJPJaMnCUFTvxU21fus0kqo+H14I+m1ucxRs0Z1sYJbCdinZyF/v/JI1v+10ICNrmGaqdJ9m11hAdBBEQAlDTT67FLYqI+t3P6DhzqD0BPLe4sUUbIv23EenseEYqAHjZJN0WFaIKT+/hMOL+yD4pbW8PlxEpYumYv+bRuhec8JCH32HlGREcnrAGhUYijQaJly+MkHnxaUvknT7i9BvmzKyvkStEiMViVrBpo1oc9AAV36f6Rn5aaFn5+fsKEN59I6F2VGUfCaxI2yTLJqUTKr9AnA+4fH0bN5I4zbmJLlFXnCH8XU9rmdvsN5XR9QTDC61MgvzqcyMofvqr9wcF535FEfW1Zoi+Nhkqss8eUNjGnnCtM81hiy4oB4hsSFfQvRoJwtXLx+ROGSdqjgUl64pcS5skmhmBHFE/TNUrM6LAA6BK+TfKNNla0gEh5isLsVVBY1sEtLAd5jdT+a7puIwJZj6yliavzmxjbUK26sHgnZY9q+u/j4Jgz+wwdgyb5g3P77Cs6ePY/Q8BT/eXhY9twKIqdB6aMkNmm5rQjKTqL4gLKITR80m6BsIlrhTPGGrFpoozy6znWDwImxlzC8Q3MMX3FSrpGJv4XeVfNBZe6C9de0Yx9xN/eor3nqDMlllwu9V9BMKxrTO0hbc5T3GY9H8kseBM1HWx8f9B0wBKNGj8FPI/ywYudpBIeGqe+B4sKFpmyxkdWLk5OTSGig3WVpVpsdYQHQIWRNH9HeeHTKXkD3AqeK0U+HOSk3xefIw2jiUASVa7vBylSFks3GJ/tGr++cDOc8KpiXb4ieHZqiaCEXzNx7HnfUHXzYo8eIionFy1evEf/2I8IeP4Fd6eyzEIzJGSgxDS0BeBaCnzt6o9e0HXijHuskff4kZkd0n3x4H4uFfauL1/RdLmX5KFzf6oeC6voidhRHMUbPJdKzGj4++QsdqlGqrynaTNqNO8Fb4FmrAdZdSB1FeBYbI1xrjmXKiAV327ZtS/dCDwSi50vQd/qnhdyNFBCmLctzwv3KAiATF3MPR3b/jr4iUKX+jy7fEqt37sfNCLpYE7BjYnuULuMG/63HcPpEEIa2qILC9jXg4y2nv1lUwrRfD+JedDwSwg6hUanUFw8VIyNjmJiYInceC5SuUAcdBs9GcVtHlLIpyQLAZBi66wASoq9iWLMKUBkVQJ1mrdCimbdwD9FiOm+vRvi6chlYu9RAFQcbWNfsgitKMtWbW+jnXhKOHt+jX0tp36SWkw7JjUDUn4tRgfYSMrZGjfJF1OfPC482vTF6/ERMmToNs+fMxYo16zF30XKxHqO0rS1efmEW9m9CcS1lO+//Vmj/Ktr+g5ITctJCMRYAmTdPQxH4+69YsXI1fv31V6xZtRJrN27DlTAlpScBp7cuxhDfH9C/vy8mLtigHkUFIWDDWqxT269bsxKrf9uN0KjXeBl2CQHr12HDbxuxauZgNPTwhu/wEfDt2xOd2reDj09LNPVuBNdKDsibJz9UuSzg6GDHAsBkGIoANPZqCiQ+wbye7sijHr1TYDSXkZ5OUD1wqd1vCe7fPoe+jaugtk9/zJozHf3besClch107tYVtZyLiRFyqaqNMHZuAMJex+H2H/NQ3cYKecxMYZ4vL0yM9Zxbo5R2csbd8IxJtaT7XN9nUArFSvr37y9iSPpSlXMCLAD/K5/eIf7tP33dKyzz6wv/3RpZM0mf1dPqRPUo4gPexsdh23wpv9ze0YEFgMkwFAFoRHsBJb1H1KOHeBwZKRbPpVVexkupbUnxETi4eRVmz5qNtbtO4umr14gOf4j7YY+F3aMHd3H7fgTequ+vN8+i8Cg8Qrg9rwYuRffuPyJg3zEc3LMN69euwrKli7Fwvj8G/dgH5rnNYFywNHZdSP/nKlDAVtm6RLPQLIRSQym7J6fl/OuDBSAdOTb3O5jlrYxtodJSmNS8xfrJtHrUHPb2pVkAmAxD1wWU7kRfRN/mDTB9v/5ONSLyCUrbWENlZo2AUw/k2vSDdppVtiKhQg8uot1faa8rQ4IFIB3ZPtJTvJedeycs33YYl0Ju4M7du7gTegNnju3C5CE90brbzyhm64RSJTkIzGQcGSsA77BlJOX6F8X0Q5rPG0jhScRDFCtYAAVK2OLyg/QfedNOs7Twkjb6o6Dzl7K/cjIsAOnIu6c3sdivE5wKSvvQmFpYwbqkDWxKlECZKu4YtWQPTodGiIVgnAXEZCQZLQB7prQT2z2YFa+EPqNmYcO2fTh+8hT+PHEUuwJWY2i/TjA1UsGxjCMiI9JXAMj9Q+tHaMWxocMCkO4kIfpRKE4e3Ik1vyzFshXrsO/IGTyIkoJKTyIewYbXATAZTEa7gBITorFjvh/cy5WAmbERTHNbIL9VIViXskcV1/r4putQWBUtDnu70gbhe88qsABkMtn1mcBM9ibDYwAyn+NjcPHPg9gasBEbNmzCrgMnEP7iAx6GR6BY8WIZ8kQwJgWDEwBaqk8X/pd3Qcw4KL1M2WgtOzwQhskZKNtBU55/VuD582ci7ZLuBXosJ5MxpIsA0O6KM2fOzJJF2daXFoBMnz5dr01GFnoKEaWe0TNlf/rpJ702XLj820V5dgE9v0Ffe0YX2meJHspD9wItuNJnk5UK7WOUE0gXAaDnqtLFxYULFy45sdBWEjmBdBEAev6qvh+NCxcuXHJCoc30cgLpIgDBwcHCp82FCxcuObEcOpSy31F2Jl0EgPZKp8flceHChUtOLF96jkV2Il0EgGEYhsn6sAAwDMMYKCwADMMwBgoLAMMwjIHCAsAwDGOgsAAwDMMYKCwADMMwBgoLAMMwjIHCAsAwDGOgsAAwDMMYKCwADMMwBgoLAMMwjIHCAsAwDGOgsAAwDMMYKCwADMMwBgoLAMMwjIHCAsAwDGOgsAAwDMMYJMD/AbH9n28zqF7CAAAAAElFTkSuQmCC)
Two blocks of masses 10 kg and 20 kg are connected by a massless spring and are placed on a smooth horizontal surface. A force of 200 N is applied on 20 kg mass as shown in the diagram. At the instant, the acceleration of 10 kg mass is
, the acceleration of 20 kg mass is,
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYAAAABRCAYAAADb0nGBAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAB+NSURBVHhe7Z0HWFRH18cXBBQUxY4iUgQVeyERRVFRsETFqLEbu8bw2iXG3jv2Fns0SuwVUWOPsWLBGuyIIAJ2wIby//bMvRd2l8U37/eEuuf3PPPInTl7t3jv/GfOOTNXBYZhGMYgYQFgGIYxUFgAGIZhDBQWAIZhGAOFBYBhGMZAYQFgGCb78ekFTu1ag3E/DcXgIcMwYfYyHL8WITem8Or+WSyePBKDBg3EmJkrcPFRnNyikIjLBzdg9LCBGDRsJPyXr0fgwSM4dGA/gg4cQNDBY7gV8Vq21UNSIu5fPoE9e3Zj3/4D+OOPg9i3dw/27j+CO9HxslHWhQWAYZhsxYeYKxjhUxUqlUqr5CtaHv+ZF4iEJMnu731z4eZsB+8eo7Bm/Wr83M0LThUbYsXJR5JBYixWjmgNeydXDJ2+BGuXzUCLmnYoZl8FTRrXhbWlGUzz5IOzZz9cjPksvSYVibhz/hBWL5yEJpWKw9yiIDy7+WFNwD78/ZQFgGEY5t/jQzSmtXWBSdFK6DVyBpavWIH5kwfDzSGfJATGRTFq2008ufY7qlqp4Nx2Cp59kl+bGIWxzW2Ry8YLR+4+xsHpbWCsyocRAddlA+BlyCbULGQC104jMcnXB1ayuHzd3R9RibJRGhyZ1QomBevhyOOPck3WhwWAYZhsw6NDM1Grlg92hMTKNRLPru1GqwpWorO2q9oQPg3s1WJgi6WnXsgWEmFBM1FcbVO2ujuc8qtQvM5/8EBrcJ+AJb1rQGVihwlzZ8CrvKU8w8iLjjMC1eP9tLm6eRAcqnTD36/kimwACwDDMNmERGybMhCz9oXKx9pc3DAQBdSdtbHosFUoWLkLLr2VGxWenEDL8nnkTt0YLcfslBtSCNkwHJbqdhvXr1GpSllYFysi2ee1x8QdN2Wr1IRsGwLnql1x46VckQ1gAWAYJpvwCZEPHuC14tLR4fXNXahtJXX+VMq3norUffFD+HmXkWyM8mPIhtQdevzZVXCxVLcbm6OAY33MXLYGrV3yiteY2tbD5pDnsqU2IVsHw4kFgGEYJuOJuxWE+sVSBMDd91e5RZM4zOvoKtmYlcTMozFyvQZhe1Hf1lTYGBeqhk03khB+3B/O+aTz2tTujQsxqf38LAAMwzCZxKPj82BvlCIArSYGyS2aJGFJ17qSjYUDFodoxwgEL06glZPs+y/ogpXnP6grP+PIor4oJJ+7ZpfZiNQJCLAAMAzDZApJ2OpXHyqTPDA3NROddJf5f8lt2szt5CF17paOWHJXT8Q2/gzalSuQLAC/nFXSOZ9j1eDGMBEiYIH2U3ZDM8TAAsAwDJMJfHy4F3VKFEWjtm3gUkry1/dadlFu1SQJMzrUkzr3Ak5Y/kjPIq+402oByK9HANQk3MGoluWltjy2GLftqtzAAsAwDJPxJL3G/G7VUcZrJK6e3aIWAhqhq9B98XnZQJOPmNa+ttSB53fGyrA3cr0GOi4gLQFQ8+7hSXSsVlC0m5Z0R8AlyY10dQsLAMMwTIZyfpUvnCt5Y8+9d8DrI/C0MRGdc4fZJ2QLTeIw4zs5CGxZDuvu6HEBPQ5Co9K5kwVgxVnd7SOAp+d+xdfW0vsUdeuFq+pO/0HgCE4DZRiGySjCjy9F3Rr1sPTYQ6kiMRR9ahYSHXPjn7ZLdVo8xcSWFaXO3dwBS86lDgJ/uh6AmsWMhE2uQlWw8kxqASBCto5FqTzq86jt6g2Yh8Dff0Zl1+9ZABiGYdKb2JAd8KlTD1N3XJNriESsHfC16JQrdpyDBLk2mfc30N/dRhIA40L4ees9uSGF6MNzYZ9b3Z47Lyxs3LDydFqbwb3F3hmdkI/OZZQPFWuUQ5na/RDKK4EZhmHSj7i7B9HN0x0j15+Ra1J4fHwebMxUyF+5K668kytlPt8/gEb2kutGpcoFn/G7Ie8dl8zp5T/AXN3u8FVNlHX1xPKTXxjSf47Gwt51klcf53frD32JRVkVFgCGYbIV8feOo5d3HQxYeAjv5TqFpM+fEXl6A9zy0qi8DJb9pd0b3941QWwX4VLTA44FVChSdyAeauXzv4F/5/Lq19ph+tzp8K7nhgVH9awV0ODzixsY3NhRCEDeWiwADMMw6cLru0fQzc1a3dnmh6tHY9Sv6w53dyp11aUOXKtWgHXBInBr4A5HKxNU6zwHyQ6chDv4sW5hmNg2w4kHUdg1xlucZ9zO27KBevZwYiHK5MmN5mP3IvLsSjgUK4qhm1La0yLh7gE0sTeDqmJ3FgCGYZh/m48RwejjTp2/5G5JsxjZqkftD3E1cCoq2JRAs77jsXTJPPRqVgNlqrfA5uDH0gnjH2JODw9YO7jipzmLsXCWHzyqOKNKndYYP3MaunlK+f4lqzbBmKnzse9MKNLYhkjwYP80eLT4AddidJ1KWRcWAIZhsgWf4qJx/colXL9+/csl9AHi5Z766Y1j8B8/AgMHDcWM5Vtx/wVt66DB5zic2bUSIwcPxJAR47Dp8FU8exaN0CvncOZcsDjf5Qtn8deZYNyLeI60Hgsj8RnPY6Lx9iMLQJblw4cPiI2NRUxMTJYp0dHReP78OT59+tL4gmH+Peg+0HctZmZR7oPPn7/czTL/HgYnAGfOnEGlSpXg5OQEOzs72NraonTp0plS6L3t7e3FZ/H09ER4eLj8KRkmfTl58iTKli2LMmXK6L02M7Jo3geNGjVCVFSU/CmZ9MbgBODQoUPJvsLcuXOjYMGCKFCgQKaUQoUKwdRU2na2RIkSuHcvdU4yw6QHgYGByfdB3rx5YWVlpfcazYhC94GZmbSBm42NDQ+EMhCDE4AjR47A2NgY1apVQ0hICO7cuYPbt29nSrl7964QpKJFi4oL//79+/KnZJj05cCBA6LD/eqrr3Dr1q1Mvw+CgoKECNGM4PFjOUjLpDsGKQB04dNUMytAfk+66K2trVkAmAxDEQAvLy+5JnOJiIhAsWLFUKpUKRaADMRgBaB+/fpITPwvj/nPAB4+fCguenIBsQAwGYUiABR7ygrQDIRmwiwAGQsLQCaT3QXg77//xuzZs8U0Pi0SEhIwZcoUXLlyRa5hMhsWAIZgAchksrsAdOzYUfyey5Ytk2tSM378eGHTq1cvuUY/wcHBCAgIkI/0c+PGDWFDoqIPSm/cvn07Ll7U9zCQFC5duiTsDDX1lgWAIVgAMpnsLACUrufs7Cx+T29vb3z8mPpB2QQt1SebkiVL4sUL/fuq0HdXfofIyEi5Vpu4uDjUqlVLZG9duHBBrtXml19+EUH+H374Ic3/36dPn4r3KVKkyBczTug9Nm3aJB/ph4KYmzdvFnns2QkWAIZgAfgX+f+s/8vOAvDbb7+J35KKpaWluIl1uXr1quhoySZXrlzYuHGj3KINjeqVc61du1au1ebo0aMwMZF2cpw5c6Zcq0379u1FO/2eFFjUx44dO5Lfa+XKlXKtNi9fvhSZYmRD10xa9OjR44vnyaqkpwB8+n8s5GIByBxYAPQQdfsSLoU+kY80SHiC4/u2YsPGrThzS1qsEns/BAGLJmHU/G14oX8A/EWyqwDQas0mTZqI35I6dvrX399fbk1hwoQJok0p3333nV63S4sWLZJt+vXrh6Sk1HI6ZsyYZJvatWunmnFQJ0LptIrNzp075RZt2rZtm2zToUMHuVab06dPJ9uMHDlSrtWGBMbRUdoFks6p7zNnVdIWgA+4HXwCm39bh7XrA3Dw1JXU1/WnlzgTuAkL5s3Hup3HEU1bLic8xbmDmzCiT0fM3K65P/8/gwUgc2ABkEn8kIDwa8fg7/c9qpa2QmO/bXKLxLPrgejZzAMtuvpiwphh+LaZN7oNHI6ujSuJ8xX1HounBiQA5B6hjt/CwkJ06vQb1KtXT6tTplF05cqVRZuHhwfy588vFv5Q3rkm5I/PkyePsKNCriLd0buSLqvY0MKhs2fPyq0Sc+fOTW6n0qZNG7klhcuXL4t8c8WGBEPfzGXo0KHJNg0bNkR8vPZzYQlyDyk2tJiJ/i+zC3oFIP4+Fvg2RWHTlN+Qdst0azsMJ+9Jz879+OQC/NrVg2vjjpimFvx+33nBw7sD/Ib1Rvn80ms6zz8tbP8XWAAyBxYAmUeXgjB7/BC4yc8Tpe1gFT48OYU2FQvAuflohMsveRA0BSXN86OOpzvy51KhdMuJiDYgAfD19RW/U8uWLcX2GtS504pS+lth7969wobWOJArqE6dOuJ4/vz5soXEwIEDRT0tSlJG8Bs2bJBbJcjFopyrbt264u8RI0bIrcC7d+9QtWpVUd+4cWPhKiLXE/noNRk7dqywcXV1RZUqVcTfuu4bihHQ9gTURoVWa+uKDc2A6LtTO8Uc6N8FCxbIrVmfVAKQ9Bbrh3kjX6HS6DBgNBYs9MewPj7qa1z6DUp7+eFW5D1MaumI3PZNcPSR7OZJuIMfvraCZTlvdPB0ErbdF2n/Vv8EFoDMgQWAUE/dlen7idntRHuzsXvEsfoKx6Zh9dV1RTD3pGYA8wWm+jhAZWkFE7W9g4/hCADdoLR3C/1O69evF51hs2bNxDG5fBQUV0uXLl3EMaWC0jF19MpMgYKwtCcT1a9btw4TJ04Uf5NLSIEye5RAMrWTHf1NHb4SVN63b5/oiGl0T521IhKabinaBFCZRVCnr3yepk2bag0Gli5dKuppn5zy5aUtgUePHi23Sly7dk3MQmjm4uPjI2xoBkSfNTuQIgDSgshnl39Hy8YtseniU3EskYQLAWPgaKEWAZPCqF3XUzz+sKO/9sPWb2z7GUVVuVDMrqj6nMbosZgFILvAAqBD8Op+or3JGEkA3j0+As8iKuSya4NzOl6Awws6I5faluwdW082GAFYvny5+M7UQSquGhr9Uh11yvS70nchtwjV0TJ/4ubNm6LTpNH5n3/+Keo0z0Uuo/PnzwvXUuHChcUaA4K2y6BROGX/0Dko+4jcRNThHzx4UNiQyNB5dMWGXE9Kyujq1atFHa04pV0naV0CvRd9JsUt9fbtWzRo0EDYUfqqEuh2cXHRSj0dNWqUqKfsJ/ouFAQ3NzfHqVOnZIusTbIANGqsPkrCuT3LsXTLJalRixeY01ly44mStxxWBmvfCO9Cg+BpQ+30IPVcWV4AKAZ14sQJEefJTnGb9IAFQIcLa/uL9iayCyh06wjkVh+X9BoN3US/G3snoYR8Yzi2npQsAO9fx+JxRCSeRITj/r37iIx9LTKE4p5HI/zxE8RrvC35tsndkF0E4P3798mj8SFDhsi1kpCRf5/qqWOdN2+e+LtGjRp4/Vp6JhP93spoediwYaLu66+lB3grx+Rrd3NzE3WLFi0SdT179hTHrVu3Tv4/U9YfUICW3DwkGNSZ79q1S7TTZ8iXL5+oI1EhlFnBoEGDxDF1BMp7TZs2TdRRx0ACRa8ltxXNGkjIqG7//v3ChsSjYsWK4nUkYJozoLQCxlmNFAGgGUASXr+IxWud5+cqHJr/PczUtmRvbvcNjj2XGxReXUUfdxr9kw0JwDm5Qf0bJ6YE/BM/fkCi0t9++iiuJSVfiDp9EmZb21J4Eqk/e+vfZPHixWIAQfErcjemlZ6c02EB0EERgKbj9onj3T97iePK3ZdAd4AffvIXuOROLQDPr+1F+zoOKFbKBe36DsfksSPRv1cPDBo1AeN+8kUzr+YY4b8OR4/+geVLl4odSck1QSPgrM5ff/0lvi+NxnUXWykuH7qplM5W6VgVNN03K1asEB0rnYtcKgpK5lCrVq1EJ0y/Dx1v2bJFtgC2bt0q6mjmQOJBf1Pa5ps3UrCSULKU6Hw0MqeRPpVz51I6KIpHkA19XurIKQOJjsktRNAIUZld0NoCgt7byMhIzEKUHVxpIRzZ0LoIEoisjt4gsF6SEDi7E0zVtmRfxLUv/tb1ciWFYYxPOdGuLQAfcClwEVrVrYkKlV3xbbcBGDdrPhZMnwQ/v+EYOtgXXTp3w4y1+7H/yDEUUQttcWsb3LobJr8+/aBBQ/HixeXPrEK5cuWEeFNCQlrrWXIiLAA6pAiANNpb1E0KFNYbEpDqaUDR535DNTnzwYEEQD5dzJVNaFDRGV2nb0fohR1oZG+Jr7rPRWTCR/UoKA77Z3cWN1Suws6oU78RLNWjTRplDh8+HFOnTs3ShVwq9H2bN2+eavpMC6KojQp1kPSddDN+aJEXxQ9o9KW4iNq1ayc6XwW6CSm7iEbhNOonG3qGg2YmDnWyij9fmXnoig3FJ6ie3DeU7kl/U2xB009PAkOvpwA2uYgcHByEnabYKGsUaP98+vzff/+9OO7evbtsIX0vGsFSvTILycr8YwH4/BxzOlcQtlRsvEchJlWafxRmdJTWTOjGAN7c2ohqBS1Q+/tpCL5+DqN8qqJYpW+x/3qUegbwCseWDUIJ9SDKLJ8VjOj1Ftb4/ch1+dXpi3JtaRYajNAsdc2aNWJ2ntNhAdAhRQDIb/0B074tK469RqW+qWPOb0T1AtKF4/DtVJCHOPb8Bnzb0BPjNkhuh/W+5OIoiDmHY8Wx4NVlfGuvFoASnvAPCkHVSik3WHYo1LlTZ68LxQNoRK7Y0YxAH7179062ISHYvXu33CJBwqIIjVL0rTEgF5TSTsFfXRcadcpKgJlcQfSv7lYT5AZS1iBQBhLZkWBojuIpK0gRhsmTJwt3E/1NnagmtNUF1dMMKKtD2Vr0Wf+bAMTd2gK34pawsbYU9g6tpyFObkshBrO61BTtJADdF0vXfvztA+jh5Y7eM7eLe+PCsq6ik+++ImUGpr5jMKmNdI+pVKYoZWeP0HvpPwMgaAYqva/+QoI/ePBgMWOkLLOcCAuADtoCkIgZbaWprdeo1IuKok6vQ5V80sVSrv00nA5aj++afYM5u0Mkg7f3MMDNAiojOyw/rXHbfHqG8c3U00+jYuix7AK+qiHNMrJLIffNs2fP5C+jjbIylkpaI+Fjx44J1w/ZUDqmEiPQRHGpUElrq2wKLivnoc5XX0BvwIAByechvz1tJ6ELbR9BoqbYTZw4UW5JoW/fvqJNGeVXr149VadAgkCCRgJBsxEKjGfVQu4s+h6UMps2b7C4ey24NB+MkZ2luI9jmxlIvSLiKaYnzwBM8MOaq4i9dQjdvDzguzAIb4VNBEY0pAe6W2LywVBRo3BgRsfkGIOzkxNiYzJm5E0jfLq2pM+ddqFrjGa8q1atynEZSiwAOqQIQKA4XtXXVRyTC0i3ewk7uhhl5UUzttVqo5yVMczKtcWlV7JBYhQmtaR88vwYu11jsVHSC4xvUhQqkzIYuukSqlepKEae5FMmt0ZWLUqOPuXSpwVNncmGVsim5QunmQLZUJkzZ45cqw09rIc6U7IhUdHXuZOQKB33rFmz5FptNN1SM2bMkGu1oc+jdATUeWvGIxQOHz6cfB4qtOhMF/q+FPTWtMvqhbKY0uLa1tGoVKUJ9t9/g92jpViYbYtJalnQJRwT2sizWBNzNOnui4ZlCqJqt6XqIZRCOIbXL6m2McPQzdq7wp5e0hsW8ucpV7682PDv0aNH6V7CwsLE8xCU3+KfFJoV0KCCMojS2pAwO8ECoEOKAEhB4D/9pb1lKnRdCN3Y1409KVlA5VoMgF/nhuLv6l1m46lsfHPnRFjnVsGp1ThEvJfq3t7ZDVdL9Tnbz8Kpu5FwtJceCBMaGir801m1UJCaOtrr19P20dJNQe4aCvamBWXWkOuBYgBpjagoK0PJEEprJkGBPBIaihfoumMU6PwkXJSvr69jJyjoRzc2vRfFI/RB313J/KFZgG5sQ4HWC5BNdilpCcDzK7+jRd36mPeHFOQ+Pa+TsC/qMRSPdXfyeH8bQ70lV5vKxAK1vb9BKTMVzGxcsfJPJaMnCUFTvxU21fus0kqo+H14I+m1ucxRs0Z1sYJbCdinZyF/v/JI1v+10ICNrmGaqdJ9m11hAdBBEQAlDTT67FLYqI+t3P6DhzqD0BPLe4sUUbIv23EenseEYqAHjZJN0WFaIKT+/hMOL+yD4pbW8PlxEpYumYv+bRuhec8JCH32HlGREcnrAGhUYijQaJly+MkHnxaUvknT7i9BvmzKyvkStEiMViVrBpo1oc9AAV36f6Rn5aaFn5+fsKEN59I6F2VGUfCaxI2yTLJqUTKr9AnA+4fH0bN5I4zbmJLlFXnCH8XU9rmdvsN5XR9QTDC61MgvzqcyMofvqr9wcF535FEfW1Zoi+Nhkqss8eUNjGnnCtM81hiy4oB4hsSFfQvRoJwtXLx+ROGSdqjgUl64pcS5skmhmBHFE/TNUrM6LAA6BK+TfKNNla0gEh5isLsVVBY1sEtLAd5jdT+a7puIwJZj6yliavzmxjbUK26sHgnZY9q+u/j4Jgz+wwdgyb5g3P77Cs6ePY/Q8BT/eXhY9twKIqdB6aMkNmm5rQjKTqL4gLKITR80m6BsIlrhTPGGrFpoozy6znWDwImxlzC8Q3MMX3FSrpGJv4XeVfNBZe6C9de0Yx9xN/eor3nqDMlllwu9V9BMKxrTO0hbc5T3GY9H8kseBM1HWx8f9B0wBKNGj8FPI/ywYudpBIeGqe+B4sKFpmyxkdWLk5OTSGig3WVpVpsdYQHQIWRNH9HeeHTKXkD3AqeK0U+HOSk3xefIw2jiUASVa7vBylSFks3GJ/tGr++cDOc8KpiXb4ieHZqiaCEXzNx7HnfUHXzYo8eIionFy1evEf/2I8IeP4Fd6eyzEIzJGSgxDS0BeBaCnzt6o9e0HXijHuskff4kZkd0n3x4H4uFfauL1/RdLmX5KFzf6oeC6voidhRHMUbPJdKzGj4++QsdqlGqrynaTNqNO8Fb4FmrAdZdSB1FeBYbI1xrjmXKiAV327ZtS/dCDwSi50vQd/qnhdyNFBCmLctzwv3KAiATF3MPR3b/jr4iUKX+jy7fEqt37sfNCLpYE7BjYnuULuMG/63HcPpEEIa2qILC9jXg4y2nv1lUwrRfD+JedDwSwg6hUanUFw8VIyNjmJiYInceC5SuUAcdBs9GcVtHlLIpyQLAZBi66wASoq9iWLMKUBkVQJ1mrdCimbdwD9FiOm+vRvi6chlYu9RAFQcbWNfsgitKMtWbW+jnXhKOHt+jX0tp36SWkw7JjUDUn4tRgfYSMrZGjfJF1OfPC482vTF6/ERMmToNs+fMxYo16zF30XKxHqO0rS1efmEW9m9CcS1lO+//Vmj/Ktr+g5ITctJCMRYAmTdPQxH4+69YsXI1fv31V6xZtRJrN27DlTAlpScBp7cuxhDfH9C/vy8mLtigHkUFIWDDWqxT269bsxKrf9uN0KjXeBl2CQHr12HDbxuxauZgNPTwhu/wEfDt2xOd2reDj09LNPVuBNdKDsibJz9UuSzg6GDHAsBkGIoANPZqCiQ+wbye7sijHr1TYDSXkZ5OUD1wqd1vCe7fPoe+jaugtk9/zJozHf3besClch107tYVtZyLiRFyqaqNMHZuAMJex+H2H/NQ3cYKecxMYZ4vL0yM9Zxbo5R2csbd8IxJtaT7XN9nUArFSvr37y9iSPpSlXMCLAD/K5/eIf7tP33dKyzz6wv/3RpZM0mf1dPqRPUo4gPexsdh23wpv9ze0YEFgMkwFAFoRHsBJb1H1KOHeBwZKRbPpVVexkupbUnxETi4eRVmz5qNtbtO4umr14gOf4j7YY+F3aMHd3H7fgTequ+vN8+i8Cg8Qrg9rwYuRffuPyJg3zEc3LMN69euwrKli7Fwvj8G/dgH5rnNYFywNHZdSP/nKlDAVtm6RLPQLIRSQym7J6fl/OuDBSAdOTb3O5jlrYxtodJSmNS8xfrJtHrUHPb2pVkAmAxD1wWU7kRfRN/mDTB9v/5ONSLyCUrbWENlZo2AUw/k2vSDdppVtiKhQg8uot1faa8rQ4IFIB3ZPtJTvJedeycs33YYl0Ju4M7du7gTegNnju3C5CE90brbzyhm64RSJTkIzGQcGSsA77BlJOX6F8X0Q5rPG0jhScRDFCtYAAVK2OLyg/QfedNOs7Twkjb6o6Dzl7K/cjIsAOnIu6c3sdivE5wKSvvQmFpYwbqkDWxKlECZKu4YtWQPTodGiIVgnAXEZCQZLQB7prQT2z2YFa+EPqNmYcO2fTh+8hT+PHEUuwJWY2i/TjA1UsGxjCMiI9JXAMj9Q+tHaMWxocMCkO4kIfpRKE4e3Ik1vyzFshXrsO/IGTyIkoJKTyIewYbXATAZTEa7gBITorFjvh/cy5WAmbERTHNbIL9VIViXskcV1/r4putQWBUtDnu70gbhe88qsABkMtn1mcBM9ibDYwAyn+NjcPHPg9gasBEbNmzCrgMnEP7iAx6GR6BY8WIZ8kQwJgWDEwBaqk8X/pd3Qcw4KL1M2WgtOzwQhskZKNtBU55/VuD582ci7ZLuBXosJ5MxpIsA0O6KM2fOzJJF2daXFoBMnz5dr01GFnoKEaWe0TNlf/rpJ702XLj820V5dgE9v0Ffe0YX2meJHspD9wItuNJnk5UK7WOUE0gXAaDnqtLFxYULFy45sdBWEjmBdBEAev6qvh+NCxcuXHJCoc30cgLpIgDBwcHCp82FCxcuObEcOpSy31F2Jl0EgPZKp8flceHChUtOLF96jkV2Il0EgGEYhsn6sAAwDMMYKCwADMMwBgoLAMMwjIHCAsAwDGOgsAAwDMMYKCwADMMwBgoLAMMwjIHCAsAwDGOgsAAwDMMYKCwADMMwBgoLAMMwjIHCAsAwDGOgsAAwDMMYKCwADMMwBgoLAMMwjIHCAsAwDGOgsAAwDMMYJMD/AbH9n28zqF7CAAAAAElFTkSuQmCC)
physics-General
physics-
In the given arrangement, for the system to remain under equilibrium, the '
' should be
![](data:image/png;base64,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)
In the given arrangement, for the system to remain under equilibrium, the '
' should be
![](data:image/png;base64,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)
physics-General