Chemistry-
General
Easy
Question
The product obtained in this reaction is
The correct answer is: ![C H subscript 3 C H subscript 2 C H subscript 2 O H](data:image/png;base64,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)
Related Questions to study
physics-
A ball is dropped on a floor and bounces back to a height somewhat less than the original height, which of the curves depicts its motion correctly?
A ball is dropped on a floor and bounces back to a height somewhat less than the original height, which of the curves depicts its motion correctly?
physics-General
physics-
Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is
![](data:image/png;base64,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)
Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is
![](data:image/png;base64,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)
physics-General
physics-
A particle starts from rest at
and moves in a straight line with an acceleration as shown below. The velocity of the particle at
is
![](data:image/png;base64,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)
A particle starts from rest at
and moves in a straight line with an acceleration as shown below. The velocity of the particle at
is
![](data:image/png;base64,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)
physics-General
physics-
The velocity-time graph of a body is shown in figure. The ratio of the ... during the intervals
and
is.
![](data:image/png;base64,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)
The velocity-time graph of a body is shown in figure. The ratio of the ... during the intervals
and
is.
![](data:image/png;base64,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)
physics-General
maths-
then C![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
then C![equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAJCAYAAADU6McMAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAIzv8arAAAABZJREFUeNpjYMAE/4nAQwgMM+8MYQAAvYER7yMcYioAAABJdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPj08L21vPjwvbWF0aD4wTGvlAAAAAElFTkSuQmCC)
maths-General
physics-
A particle moves along the sides
of a square of side
wuth a velocity of
. Its average velocity is
![](data:image/png;base64,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)
A particle moves along the sides
of a square of side
wuth a velocity of
. Its average velocity is
![](data:image/png;base64,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)
physics-General
physics-
The acceleration of a train between two stations 2 km apart is shown in the figure. The maximum speed of the train is
![](data:image/png;base64,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)
The acceleration of a train between two stations 2 km apart is shown in the figure. The maximum speed of the train is
![](data:image/png;base64,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)
physics-General
physics-
The distance-time graph of a particle at time
makes angle 45
with time axis. After 1s, it makes angle 60
with time axis. What is the acceleration of the particle?
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)
The distance-time graph of a particle at time
makes angle 45
with time axis. After 1s, it makes angle 60
with time axis. What is the acceleration of the particle?
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Tarugm60jrOuk46HwVKlXPpp6FWuyLnIx1yS3c0OFAmc1BjJGX5ZMNKFrtrp920HfArrD21LW0GINYcNCu8/kaKWKkAzvsUNd3FD7DYDVv1kUHAnKZ4uk+qkzDLBGH0juPSjt/RZUctRqD5LypjkOojOT3uIoPBZHUs9foamLONnG+1hKGpSSx1gRVcaHy/KMy7cpfoccg7XoQYA0bd3iqZ5u8rvOIQQ+SKwgKzUa6gqdZ4i3ydCwURrraF5Y3d/91bgb1jQnoiquD6IZmMdMTqPZ+d6UtaPhfmH8nMCb2uiJKvHk9XZEfhvRT8jfJ8irznPxJrTKDwer88XVFd3GQ1naFhsLmHXUiWInQDlGDQ0k9uvG8QzHXOlCMOYo9bw7b6x7E1t4zPcjD6wptV1w9tcLAwTawzTbQLRJXaYvDtmoT7JUCJ15s8yNof0XDIbh2ZZqxxxh0xcsk3w8DqWivEwcC2BVtxiDnm2hdcdU9NOZo00EnAgOaow99JpI43+dT2mZ5w9rfGQ0DdoW1NnG4u1i78THo0Ld5na4AMBLTa0845f5eyjHWnu8kz++EiZdX5GzGNDYyIIVnpWuNdol/vez2nGmWdTQG0XbFdStIqV6cfN0Zp+zT6hvMOaguXRhcCxoNcmdnU2S60DJAkZflmgaL3+DbnBCiuhmDtPZtFpD+51UhVBg3ZiJkYRRGmzQC60Iri1e4rHyZpG18T5LkwTCWrfLUL6Bz4ocfgoxmkd/mbJ1TI39FDaATuWJ61rq4xCU3I/DnX6JmUmRE1VdkdF/hccyyfMAhU1tMPMh2HYb++wp9axPHrtpEDy1t8wp0CLXtWR8rk+bLYm9pHJI4JkvRJFUb5VEek9+iZd7vULVL9HFhkI6HH5d2iLYrujhfOht8S7GgSqQHDjqHspSkzYL1GCVkw9RUIbSfsfHkL2JfBWLvBHfUo+6a9O/AOh9OC/0FaM1PQZGZn4NzIn+1CRQluyRbztOCY42G2XNKSOrSQzbimjhICcw+X7uxddoCgyEkUKRUMcCPVeRH4a+YzNshXYxBcmh0/7Tf9GN9PjR7ciJxkfPTY/wVtn0tlHU3a89xV7qyKzRPOrLubszhUz/XTR1oIKLfKxYUy0fprK6Yi1UBCNnvzXCxBsNq29V6iLuiaxR2GWGmCvkdhFAHybtInlMURWqLu1xv+dNUXa2r5mJVoadn/dK03yzWmVCTWIRKYtzQ29IrQFd0O27Qs/amb5USeG9++phmupqP5612i5ikGyaHm854i167Hk1i5u89zr+M2YtNmwwkRKCQcTnAoBylTAiFO+NthtfvOJinIX6yL/0i1urlkCEXSJIkS1HAoTOxp3sg0GmaZYuUXM1SP/QPkJJdkun/2rFcmr10xXFn9vB+jhdiepASWRaTjvvorjmT2Q8wkFbJCqQa/l39yPcEv7JMn55kZ1+r92MfyerPYWfNfvQj/8/8ZPCzb5uf/PFTP8Duz7lUwGnIei4V52B/EQvkI/9aYA96N0ijny6zWBzf+Paht8wfKCUpvNQcvVG+uz3l3Zg/Yv7/kX/6e4u42IOYPuSZoOEl2hkHIlXaHLj2n37ovhV+vcGT2YTNkaLmef7al481PN714w1MEfgXkkjvqBn5ERT+w3g2yY/q8Mhfh/9+4p/+A09Bcf6Qly2RrxSfDU0mAP5lRewroQyFrSLrLA5t6zpm6uaBfWaLdKzAmCDCL4X0h8Q/kIpuvVgH1mreaglGV1IRiI6W7ddG6TqzCRgSLz6TeE3/DcJfUXWSVHeR9FNAW7TRQyw2KUmuhi2bpmW8kvXc8+JURExNhthrFNCeyB/SFbDz6dyfNQ4JhHmimqsJ044WUtXlHcVpxAfotTrnJ6UCZE40T/vdma54CbtJB1QbPBt08ONIuxx6tYHdbxqKBSiYblZ5sWXbWecO0BUdzq84Z9I4GzyedjN2CF7ytarfg2X5gzBUtq1fQcXl+VldoTuRxrUjOtLCqm4KhS0SJaN4rZD65Vrmp3UF/AXxeZfy+3JaS9wp99OTG4P7Vy/UHzY/bFcYJJicvTHCnk67JyVSdlybZKDSXzZIFP2A/LyuALFAIujLhAselDoHyjdp+RXD1rfp/H4pCt2geK2uHVG7p6Y/aeuto3KaLSlIZYKMGVpcX+lvGFR9/VvoCrDqEaq4I6uRtgLA9Zx/34+JXxqY0DCbVx8XJ3FHFVgGyC3sCo30N6zmgJO9dLN+/HwoM8bhS8reC68ruPa2qTfQ79h3qR+/dKEsziVzCNxGV2gNIGqKRdiRb1NOS5WmtCMkjL3YLxzGGmU6BaMB84Cp7QzvF/pIklyZ12nA3MSu0OCwXoYL2pnHW5SvKuWCrLzMZn43TOLdPlZCgzROxSZSW7t8maZ/ym6M38StdAXY9Wzjn9y9lXSlKxg5iZnOWJo8b5Q63AWUZRnLB6WUf6Y+YwrND3lMo9Xi8ROsac6vya3sCs2HXrP+vViEce06MRc5j5lS9HdZvAW2KIntl5fRi5nVweYHj1uUJN0cyAC5na4Yjd704mTb/pquepDgLGZK5+WyElh4z1Yqtv/Fpn7IbDrZL3xTC2/eTZ7CwdG6llArnoLNt7Ey6P5/KmbK410pz/UktgWoQFcgW1L3mHZJ16M42UEll8M23+vGPtLtmvTvGKvvQ6iYdxMzZS9R2aFKVVa2FHji7XsQqsgq3hzroAKFKiUXoVzJR5lYYdFr0m9lV2h0bp3vVEFH55fNT+ZtzlCSZ9/co0Aq9i+so9hL4mLWvuDZsxUDLiPFghDEBjsJq+p039Ku0Jhs8DcJimxPp1hzsstLF+7hzwddoSsjpXrgegzkTfdFVb8B+4mnBQqFTD1G+grjr/i5GXqV6AkXNzl3p3+EJTar9x4eH3UFfPyJo2x1LESla+LVuv/x5o+e250kOyJCDn3J8CWjuxx6teGRuEuI4XV3Ul4bp4cxSH4lsUq9ZB8+A11RVi1fckwunMQknftsW5CmIYpIlzn0aiORuBBCXeOf6aFxPi4tXCXQ/bG9JbAuNQBMF95/pjEahbtjgd31ZKp49Q/gm2wmBzKCIjblcj2kjDdlQCpualcYttGFFTyTnzkgXW8qouuSxKnnfaEJbvOQy/+81B7ZoYwEgMViET/HVb8y+JWUl5eukl2SkOtqLN2Q88PU6c1u5684oGNlX5icVBXCmFdR/rY0SnYMH93dGkn2tWT4yzKaYor9xb6gG00Llcq2pQWkZ1QtRfcyNNxEUDAGubVdocHR/KtVqF35NjEYfrapoSz7G57O5USZdYFLoccQAUvjfYe6Xf7NK/hrcGSzz1dCFidikeh1pi/DXXig/RV3iQzOwi+0Be0sOlbupSgXaSQ/ii9B/7m0ionD4AEGR/NDAsA3FhfHpfgp/zn79YE/3lQxm8kqX2c6meGT2aBD4ra+zQI4/CK/c1e6IjyJmdIt56dxDVAgebEiCofyxoNjB7O15YjqwA9pK/48E+QzEIm6m/YU0BX36EEAGs7DCjVFw47WmbI660xlSl6rFD2OnlHN0fNY6qXooCEWcZyCcTI0DVElwHeyKzRrJnSRsVNYR5H0YBnVWGcqU1369BTK0todK9b5FLWzXEGv8Rgpm/X8irvYFZp3EAtbhbYA72hkypZhjUEAVSmYG+WDoDxK62c5mAmiq5JMBqckLnA3u8IQzP2zeTi0oxSV7KVeKTSOlicflFGTtHf03FwZOuNOc/435i0QPzZtlNmSdN8iWXkMSTlTTfTnQ3QaZbqsD9KGKULTnwmKyKBuWirKy2Pk7R3vkztwfpZ0HORe1qaBcoEOk+I6RRe3c7Tj3lIBYgHawl2/fnHPMYgFDqGYygAPMSH6g3HfMUiORIgdp6pwEdiW404Yf8W900JS7hfWrIcd5dvsA0PoGauO8Y6+zQLydXNYs95ZzPRRJlHenjv7K/aM5aHO+k/FTB0NuPUc76/QYpGLZ3cx0+FOcLgzdPpT2d2bgpkITQA6eu7GrmDLr6Z7Ob5Dz9vsRxLyJ5Z3Zl3FTF0W1pqc97Nmnalt35sZM0ER3tFQmb2Ed9cVQzVs7u7bLLCebpCk3yznrU3g7Iq2mPUgvSlj8aFE07TfXxO+1J5i95ugs1lpxI6lKk971vBepaGlqrvD4ew2CxcHBKVrqfxiDhG6ZWguIn4yY0jddk36d+gQalfH42TiFLjpSJwVU0ZORCwYIuQkS24f4iAlOEIPVH6/X99krdI48XZsf1x0m2YkoBJ+l8LWvYiDlGHxYVm4o1vGFE9EkhxWP+FoZ8RBiiQtTVHqRxykCCeLHmWDfzh03sD92Q0zT5gGOy7F1/TJX2EBXfH6SJ1Iz1B6EXbeHCNvlXsMeVbI7wL0JQ5yhMWRRPPr67Zg6WKm51C2OEQUZOpl07xFvOeCGIxvn+vmO1jMRthHVwc81aYfCqdfoklVvNcVdEo8u/gaoyQr+vxgDNKnkSkQ6JjpzBcm0eEVMFJvPcjvggaHnB1rliUiX7yHw11WLEmshFAYb7FOzEIpnm3xDDQvbAZPTNuoYfo0w3KGZ2bDw6d0G55I+KD9lH4iZx/5vsyTwqdgB/rGoVSazfd/Ub+eJyak8HE8QyaSPvPntWtHVBO6mGkF46Ou+GCLxDqHKAhISSrSeClEipRek7lmIhViHpkhgPR12856UNCai7zIxyzSr9vEmdzX7bm5LdcK6XaeVX3GzBtIp+6mW/0peEPvCwbDsGORz8nDoXnDz/e10ZvAUUNbv1O3dkQ1LmZaxfqY3+eNxTsrCm9hlhXWUFK1jMlcpJ+mD34PUzFP01wqOFy8eYpMOgHK5vChOTL7w1EK7bmxUnUJwnSe5lLxHiB4PRXGIyIZvAzbm80nvnnDXCaq9BYgh3Zfeme5y5WDeM7nS+uumIWiXfl9Sx9ipveHvn2s4fG+1mdbPwddYf0VVB16kCe22KHCyda5PiaSW02POedbLs1abio5n/BtnorhbTuZTPafmm0n8DT/1JvMnxhHOpb6UxOze4r16zx3jsC+oM3zfWHYMfyRfPk2/MUtt/uCT+k/I+2yzTed4cJ8qBVOVwB4GvrRaxT5eyuNKhiDmIulRWHfbTxFZV0x/YR7nh7TsoyBfXM0pv/sVdELsQ6LscZjevgQvHjcYv85Cy1/zrYA+g92YZvw5PCO3nHhc1tdJMC2mxO+3LhO+hcUvvftwZssSXbJXy+2A08axPvMTjBITWwpRhiD7Iq2eQ9WCX0NZZ95b9YGHk2P0vpbkSLb/UmSVZIdpOJgV0Bnskpzt8Qs9RbFVTh9mnVzDmXtI+tUD4V+O2vlI8NeE+gxyD4OMlvuVcjRn5Vz7zXp3/AEuqy1ttBcs+0DMKYw+Kf07WlvI0APsrO6YkTFPqUojz2bH8w8pf1YD/I1ehL6VWLxi6k6baArskPMVC1WNjqWlPNA9W5+xSl67DvsWFm/Dl4tdgcLAgvPpKyWpJzIXufm7bWuMGJh1qwPWjJ6Ap1t/exPOt0XuZmkWaokR88n+ZD7FzM9R/rCuF6b4WKmZ1DOltnKS+LDNedpQlISz8uVfMYwBum5roAvs/VF0HhAoVyylFP03F2TY/o43ucb8WkDDgV6PgbJGcvos3EI1cVMz/hn4o94iwsu4zG8ZJtA/nrvxyAWGc31zOQmN3+fYqZNjvtHqXkgg9AVgGTzqFlSNeXiIK3ptce7yDbKA/G1CV3MtDX9m+P9FZSljQwF5taZtkX7KwYiFTrDRf3s2qAriJuL1Zah2BWadaMJF/zVecobY8/YYOwKDVXz4uzCy9AeObH6Jp7fHc9w7ArNOhiSEA+Wu9YHacGYifbzcBx10bqiX6uPL6NTGTix+GkGpiu0dnNi0SWlU7l/Miy7wsCRX6ekyJPsKMFWFwxLjIdmV2hqzsNRTqV8yXcnZmh2haGUDf4rXMy0PQPUFcAE+fy7Sx6mLg7SlgHaFQDFvvhucbLLt9mCvGsZol1h4NF3qQzYS7/iID01cioPa5B2hWYWbdjFcuTstEypo8hFIR2qrhiN5Ffl9y0hiZxd0ZJh2hUGfDmEyv1ijTtHAwZrV2hwsLkw4SLPv+Nowv6MDdau0Gjvd3HRrKMjhqwrQB+oua4dMQh6epiVhzVgu0KjlxsOZi5Zr7gkpIO2KzT6C5SXwzmuZ9B2hYZyUZ32u08z9AaDPWVD1xVaLJCo6kSUy3vRmoHbFYYtEurcYdW7OMhwZHTwdoXmnxTz8/XnzOXmvYg9YZWyOni7wqDTfp9+PZdvszXjqXh9hJGd9EVgk7fuAalotlzZcVAcj2BXaM6zwbMXFzNtyRjsiiHkr/geXX6/lOEiJNGJ9rg/lZ14D3kc3yAGsSgqhyk6KcfoOOVLIX0YXaEj6/8Vp2cV0/w4mtH7fJsN0LUjBj/Mvi/5jfQQ/ooDFMTCaYgOeJQxSA7VtSOcWFyN1hXD92Id+GbW3r0ZisA+lq4Agn0qA53r3rziaMpj2RWa9X7NOo/cdJym7G+jh9MV+TycJxMdc77Ndug66Q8mFUbSQVuwpVtn2pbH8W0eMdng6fSlhzHTYVg6g8j535jxxPeVn7r5FW0ZUr7NBki2id2a9Obkukzn/H9EJzGVUbxw60zb8nhjEAsWJHLrTFvyYL7NArxZiYCbMQSD82F1xYh+DMPg7yGP59t0XMHj+jYd1/O4doWjPU5XOM5wdsXNcWMQx8CwIuvsCsc5Tlc4znB2haMCpytuTv/NTT0Xy9kVDkvBt+kmvTrKjBXynV3hOMHZFY5zYAzipOLm9N3gfNB5m4525OKq520+3hxvx5VM3RjEcQrlyM2Pd5yC+dZJheMU59i8A30dg/TfGe9wOByO4eB6FYfjjrgb0DEgnLg6HENhNPof7ACrDzg2jS0AAAAASUVORK5CYII=)
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,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)
physics-General
chemistry-
Diethyl ether on treatment with
in presence of sunlight gives:
Diethyl ether on treatment with
in presence of sunlight gives:
chemistry-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,iVBORw0KGgoAAAANSUhEUgAAAaEAAAFdCAMAAACdJiKSAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////f39+/v7xkhIUpCQr29vQAAAK2trVJaWnuEe4yMlM7Ozubm3oRjnBAZUoScWkIZEJSclNbe1ozvYxla7xlapYzeMRneMYwZ7xkZ7xkZpYycMRmcMXsxGYxjGc5aGRnvY84ZGRmtY61aUkre5lLOYwje5q2cY0qc5gic5q0ZUlKMY2tjGa1aGRnOY60ZGRmMYwgQEEIZWoxjUs6cnHNzc8WczpSczhBrGTpCSlJKUiEpKTEpMTo6McUQhIwQhGNaWsWc75Sc7+9rte8Qte9aOu8ZOu+cOhkQEO9aEO8ZEO+cEO9aY+8ZY++cY5ylpQgICGtrYxBKUu9r5u8Q5s7mte/eOu+cte9CtcUQpYwQpcVrzsXOc1Jrzs5jhFJrhMXvEFLvEMUpzlIpzlIphMWtEFKtEIwQUpzOta3O5oxrzozOcxlrzhlrhIzvEBnvEIwpzhkpzhkphIytEBmtEIwQGe/eEO/eY8UxhIwxhO/Ftc7mlMVKzsXOUlJKzq1jhFJKhMXOEFLOEMUIzlIIzlIIhMWMEFKMEGsQUpzOlIzO5oxKzozOUhlKzhlKhIzOEBnOEIwIzhkIzhkIhIyMEBmMEGsQGcW9ve9ahGvvpSnvpWutpSmtpe8ZhO+chErvpQjvpUqtpQitpWvOpSnOpWuMpSmMpUrOpQjOpUqMpQiMpe+c5kJrKe9C5jFrUhBrUhBKKUJCEEIQMUJrCBBKCMVr785rUsXvc2vv5lJr71Lvc+/ehM5jpVJrpcXvMVLvMSnv5sUxpc6cc8Up71Ip71IppcWtMVKtMYwxUmut5imt5s4pUlKtc5zvtYwxpa3v5oxr7+/mtcVK785KUsXvUmvO5lJK71LvUq1jpVJKpcXOMVLOMSnO5s6cUsUI71II71IIpcWMMVKMMWsxUmuM5imM5s4IUlKtUpzvlIzv5oxK762ttYRaexAQMe/O987v787F74Sce+/F3u//Ou//vc69nK2UnFJrSlJrYxkpCK2tlAgAEJSEe+b39+///wAAADQ3VBAAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAWtElEQVR4Xu2dy3LivBKAY0mWheWN9Caz0MIYVbHUDvx0PCQVpoYFkxxM6qiNkwkEEwz48of+yCSG1EwybvqqVusJQRAEQRAEQRAEuRmtqwtkmBBVyOoSGSRynKqkukYGCIkpn4bVE2SASLHlWUyqZ8jwUBPOXY6eaLDIfM45tzF6oqHivZBnK1CJBgqZzqlzr3yCnmiYEGWtYalhNA+PREQqqqdIP6zFJJbTNFoKOzr0RKGZCiGYEDFWHHqEzJghRAgZRMKEu+rVkhF31Fo7cdZo1KPekEpJ74pYGARRrNbVqyXGidk6SdbKPo8jFFFfyMibMCK8hJ5WYaTfqpc9WlDjv/f29LuwPF9/+g7SIcEKfIyX0DLwX3TiP1cEIXNVdKeNy6LyCumeUiSrv+xLWY4oSqO9wHy4hxLqF7Byx45mV9BJJZbdhlGFjqhPEi+hgzDOs8rdu2L5eC9T/+wf0j37SOGQhP16L6Z6CaEO9cspCcmMvmequqB2ub9E+uGUHwozu6lek/kzw7Jqr4AfOpKQD+XYssqBfNydY+GnV7wOHUfTvwv3vhyxijOLbqhfIB86qhnIfJvvC6m7iL0KLCn0i9chqCl8RqbOlFIh4fSZzVCF+gX8UHX5zoZSFQRPhETTzOLyQ9+ciOXiOTXLMAxVzphCAfXNVwkF8dxZNh7bTMQhCqh3vsZyQZjn+xVWjOKGAPiho2AtICRZJQlZYT1uCIAO1UgCBTQITq0PIUPiRCyHDIpT60PIkPA6dFxTQAaFlxCuLgwa8EOoQ0MmyenUxHGh/B//NcIW06GxM45zRwGbslxJlNDAILmXkGc+n4g4kglBkzcwiMmYhY14/OsWFWQIrP6mypQ78eZMyVX1KjIcyFQsQ2/p5vOto+KPxE1dQ0P7fCiILHdiSr0vwlBhcAQ+H3paGUqLMLY+aJi8bFBGg2LfpxBOWax1ZJjjzhqFSdGAgJrC7olEwiyCQG9evB45ZiLUo8GwKqs+gVYG2q6InIlsyykzocbEaBiQvxbqcm9rtR+RtZMq98E3TYslymgQJGJcJqpJuKgMWyBj5sM6l6oFdvoMADK1+1XwHSHVSl5ApPIhw5yO4wUWgXpn9Td9X30I/kmDhLGXEad5jCFD3/hY7mSvDwlHICMnMIXtmRN92xW/FyMLCxMCO4N7BfKhOiVZLUeMc26nChfK+wMkVF2egCxzKAXRPFpjQ1BPnNMhgIRmwn1c9xIl6I96AfzQ2Vsf6KUBf2QNjAG6ExjDX47XoW934+tZ7mXE7c1lBqliVcRKooAaAHW5b11MsF4KyvnWmnC1u/r2klDQCZ04arCe1ADy96J+OSI3sFbumAmvnSucKEZFoWaGjWMU0eWAH7rodr3JGPTIsSs35iXxxE0X/keRKP4fZliXA37owjc0kUq8zufOxovmcR2JrDP7uJ4kyacCE/INjfYP6TAWUFKdxo0bt8IxTz/yXpRPA77Lhw4JdDhisHwkGi5NEOV4XF0jjWi6f8jLqEgddxMoqV6sC0SOeQNdRT7RwA9V7PYdJ1sLnVuXurAocyOsSVwFWLnq8mKIjqBc59OjaP27eu082jiKY+quo5kfemcnZybb7ktBl/xtnXOKRu46Ls6HjgikykFG4+ISGa0Ft7iCcR3X6RDwe60E/eX1KA6/TY80QwldS9NY7jMkVD494pR9mx5pwXG77JU0j+U+Q3wKC+nRS3G+XKfzLUYKV3LjTJKAhBB6z6k425BPFHWjcnMS0dgU3ozr/dA7OowZ51sq4vp1n7d1zl9ncCWL0XvrJHIR18ZynyFlCstpXq9Hb+GYWxOPjEjxDOVm3K5DgLd1VcdJrQ3TotxxbmNsSWkGSOge90x7GXlbl3kZVa8csw7DKFyiiWvKbbHcZ6BcB90MJjptxnAo9HWAH6oub+Z3lFOwdbj56J7cxw9V7NYhdDNsbR6hMbsX94jlPrHTCjq3tjgG+m7cVYeAt/VsSl+fWSxRRndhv4/1rpDFZjS2VCjs9b4H0C93d5/hbR2bz63Brqs7AH6ohThYii3nDrYrVy8g1+L9UN287VtY76c5UREvCO6FvQmobbdwBzXsaeHb1wkOFbwViOVakBBRsFvCMTEVMIQGteh6blljPQNRE77lv5haRpslKtEt3K8udwBZWsooh1NDdytctLsFsHLV5V0JLVPG8TEcnYN99Ldw95pChWQv61BwJ7BN7kbuXJf7QIpcv20yTgu0cLfRlg6R0SjxMfcrT7HMfRugQ61IaBMlT7vlmPP3Q+CR6/A6dHym8V3YSemDeBJPyngOuR6obbeyPr0v9sjcOdw4dBPkbyt1uXdIyNDO3Qb4oeqyFXQMeSsGC9fTViz3gfZ5a8s/4mcDte1Wl0J3EeMux2DharwOtVGX+4RWlGd4PPLVtO2HYLfedMvHGM9dS+t+yItoyfjWoJ27EpBQ26XnJH7lFos/V9KBDvm81ds5hlPlrqOlNdZDyMzy5/jasWcPTvuxHJCMnLdzqER1kDOr0FCXqy5bJAgFFn/OIONFdfWVVnpOv/K2gSI32rnTkNjWF8baWmM9Zl/8qZ4ghyzGnNUqUSexnGcnfVKEdu4kJHZnqsutrQ8dQ6DIjcWfU0jvpPm4LhtpeX3oE9pwLnCj8VegcMnrS5ft1+U+iCynWPz5ykKUp37XyaErP+QBOzdBO3dMoByHB1WnbRn4oa5umpzy7bSTyPE/RCBzl/51Yjw/7QKCLiqnHywtdwXauQNWsU0XMVUhm5xu/gQ/1JnhIT4pSuHcV6Qi2OmcRU8R3TxFqTi5SQRiueqyAyCuxHjuE0GyGfm3rKL/eyLKnBxxAFauu3kuJPJJUYHFnw8CHYEJ21Dlb054crZYN7XtD3RB0c59Ilhp0BsFEnpKZHJiIaiFeQpngSL3FBqGkZKgfLduKBy5EJw82wlq211KKFAT/lzgZKZDlI8U6ug0lgPKIneEdu6A0g/V0Gk+VBKO+a8pNi0csPdDp+myprBn9cfijpUj9n7oNN3mQyVo577wnR/qer5l2cmNi3mf+MYPdZkPlaxUhjtWDjjrhzqOtktkjjtWDjjrhzqP5Ty7Jdq5AwaVD5XAzjzcsfKPc1auFx0q7dwWm7M++EZCfRw7QyLLHTYtvPOdH+rD2uj4mVu0cxXn/JDuIR8qCadzLjBY2HMuHwramXP6PTtoWkA7t+ecH+qwX+6IZET5pOuK00AZoh/yyCks5lVPHptzfqj72vYHZJNyh8Uf4JwfAivXix/y7HfmoYi8Dj2fz1h7u0ehVyIs/ng2r+cl1JcOlXnrMyZF5/0QWLn+Om9gxwoWf56eZsOry71T7kDGzh91Jtrup7b9AVE+WMAOx2H1+hyyxh3InuGtD/1jt/Tx3OjRiz/KDWyN9TPBn+dzO/OIlsD6Zx8dcbZPYdyvDr0Xf2p+BxKafJqLlzzu933UMktRv0jXQ7/cMZAU1e3MS+LMpUIwa/OffEZOsqzfsQNWrpf1oX9oKP4sT99/PXU2jqKZyX72zJkzBqJ3P+SRL3ybn96ZJ0VmtP/95Xj+qMt9sMbat/kI4rpObrJJJwVcaPGwCxXBAHToKTHb00VuoqiNoCgl2cNuIu87H9qzYL9cfmLHijRU+DdQsDY07aMlaQgQkQ4gjt2p03ZO5hOm5FqO7OPuZxmGDj2tX7acfY3nQrZ1KROWPvDU+yHEcp5dyE6NZVpalzHBmH0WiwH8lr3Qf01hD1F28lVCKmMz8pskM+vEoypR13vBa9FRrJbJ4ZuFxD5QKC+MmzxqAbzfNdZPBJHJ1fqgvBFIUbUxeCXKHrW1biB+yKvQ2GXHKU/Iqq7UVUxt51sFBwJIqH8/FIRwFv8k/l0930M2qVUruNK5Y4/aEzQIHVor4TjnlTg+2MV2v/yaxD4fGkI80wf91+UCHebZFiZ9ppvDwTZEcBuHnhGzjztNvfe6XLBSY0pfSwn97/A3ITnfvmbWUvrI4xd6rikEiZyZ3JgJWLnjtUQSGeO/mQtTVk9/METK2pa0vv2QjlQkSZRy7n59We3dkcSjk9VP1yCZm9pTBfquywVarwJdOM4EFadSnl5NcFdEWX2o2n8s5396ZLc0VuPeOyb6IVmE+daHRIvkpCCGUJfTZWtwmJ/UoZ+PNqnlz0yMTgtiAL0+RGU82wR6lD9m6U0WqeN2+lKc/u+Dleu512fByi3HK6Ues2xAZGxdvAjl6qSV698Pwek7LHp7ImH4qAsMM2vrzUf/NYWI8V/G/wpE/+zO33pI8Xym1az3mgIxcz4uF0CCoF9l7o1E+ECpuv5K3/kQbJSsjvYKHiP3+YpM3ZmyY9+9Pjp3XNQfdfkIkIhOonot6VmHyIZyu3lQ/1Pxe0PtmSi251hOvkCyWj15UGTxi525Bf3WFHwUw+2jNpO+49+lrLo8Ra+9PgQOaR09+mE3MucpqZdBr70+eNAx4H2xY6x2lb9XP7RM+SuOXnpKRsympk4KMG+7r3sk4QzdBw8TSnZ6rWttfY86RJTlk7g3BR4UZ4rX/eVDAWwCzx89TPie3moKwUpRTh9zza4RvelQEOIx4RfRmx+CgwXYYxfkLqOvmgL5n1eh4rBPGzlFX30K0mz54+6rawJYuR76FPTGq1D9xC7kHz35ocXfLc6gvYx++hQgTKgb5YMc0kufQhCKLZ75cCG95EPr3PEhDNr4T9CHH4KtDud6J5DP9HHug3xx8/0ufOR7ku7rckRN8PiuyyHCdiwhshCcG4y0L4VMu7ZyOvYqhEPQLwZiueqyI6Cm/ajT/K4BYrlO389l98ijzhe5hq57fWDpO8NIuwEd50Nva8O3WJBrQse9PvpPhpF2MzrWITnmzpwYOYvU0m1dDs6axibTZnTb6xPZOX34o2wa0qkOwbF3uPTdkC79UAA7IosfPkTp7nSpQ2uBx682p0MdIjPKsw2qUEM61KHQq5DBakJTutOhHcweWaIKNaWzntMAxvfgdq7mdNZzSnBH5HWAleui55TAshAW5K4AJNTFfYNloUc9ye42oOe0g0iBKJg90vMgu/8m0HPavg69rXPOscn0KrpZY933aVdPkEZ4P9RB04Ac8+0Iw4SrgJ7T6rI9ynnaGCZcB8z1afvNDX3aOHvkWsAPtW3lNOyIxDDhSjrIh8gMktWOCug/j/b3PgQSatrr6hnSlPbrcgn0aUeYrF4L+KFW7x4JYSQ9LgtdTev5kB45LoZxoOh/E+g5bVNCZMP4454yeA8glmtTQjL/9ejztG+k5T4FOLnm3Lhv5Fta1qGFcNiAdRsQKVSXLVD2aWP3yE20W1MoI22s99wErLHeLx8iB2gdU4eDE24kECy6nx8KiJRwTHQYRRulZoURQqEK3cZ9a9tEhpvY5GLMUjgsehxHi8PD2JHG3DmWI3qpjKBuDud8+0SIPOq5XPfj7rVtr0ZFWspn2/q6xkNw/xW8QEc5nMPOKbqge3D3aJuEMaO/QEA5rgndgzvPxiKyEF46zG55j6fm/CjuOhuL6I3wBu55HMWO/sEo7i7cczYWWebZ1iuQ0smIPvrpdncDIoXq8kZ0aBjn89R46yantdU+GasFhngNuFekQKTy8nFUlP+ayuviOJ3jXJ9m3Gmuj1Rj6gX0EmlwakFsyq9fgfF/XODYmAbA6sPNlVOfAfkb71hcTbMIorreB8ksdSxCM3c5t2esRC+MD66dHb0rY0DqTsknMRW5ZbgXrwG31+VkPH6G/HSp/+liXTUushM1YzbGOO9ybuxT8AHC1DsgmqtLfIueulwvRGbW2OB4MTfpUKAjY718bHxRAE2iCZ29rac+4LtNbR+KG2I5QnwG5LwDKpaXWS3J3Mvax9u0zdaIHwfo0HX1s8rAWTG7ML0hEc18jKDjzGIwdznXxnJkPcsp39JUyUsFLIUrQDJRanGvyuVAPtT8du2S5QgMHCvCi+ujJHZW/SaERCwrsNP+Yq6qyyULJRz/ZV+iTxH2NwSScTvaKBXnlI4wmLsY8EMNnQLRG2/g+LNQssHfJIa6jLGUje2WvmBl7mIax3LER9gplHj+XG7gPCS0z/loZIAJnd6Sgz0YTfMhLeMyws4b3mNtHFsEO3gkhmIwdznNagpEq7HzKapY6mYheqCoG1XVoCB2FE9+uJhG+ZB3QNYbOBE3XT4I9JSn7xFJoCbYzH05l+dDRIcjkE9qmgQIe4g07CMHChZGKNShS7k4Hwp0bKGGbcIr3v5BoD8tSOxWeoW9qJcCsVx1eRapRFnDjtA8dcxl+ZBeGljkHv/BJsXOAT/0XaRAFsbO+dw2DhCQO3CBH1rE0KboMyBsUeyD7zJW4h2Ql0823fyuXkG65byEgmRZdvGMVV1vCNI2sI+19uaTJbSRchZjGa0/YFZwjQ6R0gFtbR5hetkjdXW5YO+A5vRvgzUgpAXq/BB08biyBIcRXL+c1iFd7kV1qQnRwPXNKR3yBm5M+TbLI4zg+ufrXnCilaFzTqeNFrmRtvBWLqou94CBg0XUGEsIwwCs3L9YjRBZpM+c29GFbaTI/QhKqif/gFnBH68GcpZncz4RCmvYXQMTkRZh+NWzfDr3geiw3AjE1BprcJ0T5kwwYcXm2HiBlduLjYQFc5ynI4yw9xDSWaQU6GiaMS8i+zxWRxtM3/MhKCGAA8ojDBAqEtlZMKtjRo3UiV4YmhWHIgIdKmWYQ4TNZg27rH4yOoojSb667vtDYjup9iUuhDsaEgO1bW8EwQHNGU46+AyYla9uoQWCkH2cVEvUxB6OJyfTNJKKwU5hE6F8DpE5tWbTuq3T+fbj/CyiLC338HxAhJ0K6hw1ZxbyHhZd0C3soW5VRiS0/w57JpH3SAd6q3PnttBlhfpziiTOvHWZtjopTxfb7GObnHdJR4cw6CkM63PMxLGJTTHyn0bVAz4elcJ/jEbFqIAuQc4n09m6tRBK5r/Yh0xInNlDK7cr6CGvE0onHw/7mH8ySv0Hfc4y6lNED83bcwLLFDYdVGgzSQ9PFg7CTRjKBQxg9o9luFzC14/Hp8vHecCnpWcRLZZF5uXjWu3UWH5yQ2/rvBpe9Y8dJkBnkMZxKkbLNsssUfbJ88w+MiPkEsL8+bX1TicfyhXvJtQHj/ZwNQg5Rzi1aRHWDGK7G1H2/OGHNulRrI2cgYQqN8uk9TRRijnbS4UsBZ1iXnoxyVI13Qx6FVpNqNJwkkkEAmrXpP4oyLqbMnKgjbXTuIiNGBvsHm3AWyd1bU+giyxljNnxBpurBkqiTDwajWYon6ES7FaE+I/qKYIgCIIgCILcBJFRFF3Zo4GFqw4g4ZRO6OkNmt9ysgEduSs6ElYYI6YXzRQ6IgjkiQZ05K4sxjRPYIHsutUqqQolcRmlRaDeXvivwZWFwkCOWKra675BSGzhfIEbWBhLx5edNoFcQbDI3fPf6BYlSGI7p9MZ2rqW2IU5dfTMvGFCEl330Ang/wU+p6KQWBFuBbJQgrr6Iwt1PE3HpxHjcSr8Z7vlnM8zEeN09ZaQxmX/ttAeoWMBW9JOPFI2Tsds7L++lt2g1qCE7k1AVuCAAkVpbbAd6IUMT7BYSP8N/5BhOdeTNp8sjXwLCWdw5mRSULaoXvqC/35dGBG8PXnPQyKx5VlehO13Sz0eJDKmmM1GKTvchtEEHYmJFUW4Q/m0gVYvcIiKuLpBOVgtpxbGdqF82iFYqzw3o+u3iCZhbAps/WsTIqVcX3+HdTST2Pk3YHYJlhKGDXofBEEQBEEQBEEQBEF+JE9P/weX4JdFbMpqzgAAAABJRU5ErkJggg==)
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-
The
graph for a particle is as shown. The distance travelled in the first four second is
![](data:image/png;base64,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)
The
graph for a particle is as shown. The distance travelled in the first four second is
![](data:image/png;base64,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)
physics-General
chemistry-
When ethyl alcohol is dissolved in water, it is accompanied with:
When ethyl alcohol is dissolved in water, it is accompanied with:
chemistry-General
physics-
A ball is released from point A as shown in figure. The ball leaves the track at B. All surfaces are smooth. Let h be the maximum height from ground reached by ball after leaving track at B. Then: –
![](data:image/png;base64,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)
A ball is released from point A as shown in figure. The ball leaves the track at B. All surfaces are smooth. Let h be the maximum height from ground reached by ball after leaving track at B. Then: –
![](data:image/png;base64,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)
physics-General
physics-
In the figure shown upper block is given a velocity of 6
and lower block 3
. When relative motion between them is stopped.
![](data:image/png;base64,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)
In the figure shown upper block is given a velocity of 6
and lower block 3
. When relative motion between them is stopped.
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)
physics-General