Chemistry-
General
Easy
Question
Which of the following compounds will undergo racemization when solution of KOH hydrolyses?
i) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/911804/1/914925/Picture231.png)
ii) CH3CH2CH2Cl
iii) ![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/911804/1/914925/Picture232.png)
iv)
</span
- (i) and (ii)
- (ii) and (iv)
- (iii) and (iv)
- (iv)
The correct answer is: (iv)
Due to chirality of
only compound (d) will undergo reacemisation
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physics-General
chemistry-
Which of the carbon atoms present in the molecule given below are asymmetric?
![](data:image/png;base64,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)
Which of the carbon atoms present in the molecule given below are asymmetric?
![](data:image/png;base64,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)
chemistry-General
chemistry-
chemistry-General
chemistry-
The major product obtained on monobromination (with Br2/ FeBr3) of the following compound A is
![](data:image/png;base64,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)
The major product obtained on monobromination (with Br2/ FeBr3) of the following compound A is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAADjCAYAAAA2et7zAAAPRElEQVR4nO3dMUxaW8AH8D9fvhGfw3UoMU0qRt5mRVPSpM1LI6+J1A6mqcsbcNImdiHo8iarU5NHLZOJTRx8g7yky0uEulTTwc0ATbcHiU4UFwZz736+wY8bwAvcKyD3HP6/hETKvYcD/Dk999xzuB4hhACRov6n3xUg6iUGnJTGgJPSGHBSGgNOSmPASWnSB/zLly9YWVnByMgIPB6PeYtEIvjy5QsMw7hVuZeXl/j48SOePHlSV+7IyAgikQj29vZgGAYMw8DKygrK5TIAYGlpqW77xtv4+Li5LQCk0+mW23s8HqTT6a68VwNJSCqTyYhHjx4JTdPE9va2KJfL5mPlcllsb28LTdOEpmkilUrZLlfXdbG8vCwAiEAgIFKplNB1va7sVColAoGAACAACL/fL37+/FlXTiqVMh8HIF69elVXTqNCoSD8fn9dmblczsE7QlakDHgikTBDUCgUmm6Xy+WEpmkCgEgkEm3Lrd3+3bt3LQOp67qIRqMCgNA07UYYdV0X4XC46eOtXhcAEY1G225P7UkX8GoI7Ibm8PDQDE2rkNeG20m4otFoTwJu5wtJ7UnVB0+n01hfXwcAzM/PIxgMtt3n5cuXiEajAID19XXL/my5XMbr169RqVTg9/vx/v1723WKxWLQNM329nS3pAm4YRhIJpPm/cXFRdv71m6bTCZvHHgeHBzg/PwcALC6ugqfz2e77GAwiMePH6NUKtneh+6ONAH/9u0bjo+PAQB+vx8zMzO2952ZmYHf7wcAHB8f49u3b+Zj5XIZOzs7AABN0zA7O+u4brFYDL/88ovj/aj3pAn4f//9Z/49NjaGoaEh2/sODQ1hbGzMsqxsNmu23sPDw7h3757jugWDQfz222+O96PekyLghmHg6OjIvD86Ogqv12t7f6/Xi9HRUfP+0dGR2U35/Pmz+e9OvzjkflIEvFcMw6jrOzv94pD7/W+/K3Abk5OT/a6CI5VKBdPT0/2uxkCSsgX/8eNHv6vgiKZpyOVyENfnHZreEolEv6uqHClb8E7VdkVq++akHilacK/Xi0gkYt4vlUqOJlE19rVruzi1fzstl9xPioADwK+//mr+fXFxAV3Xbe+r6zouLi4A3Bzrnp2dNc9EOi2X3E+agD979gzhcBgAcH5+jmw2a3vfy8tLXF1dAQCmpqYwMTFhPjYxMYGpqalblUvuJ03AvV4vYrGYed/qlHszyWQSlUoFmqbhr7/+qhsK7KTcKsMwsLe352if2yoWiwiFQuZc8VAohGKxeCfPLSNpAg5cT5yqjjQ0nnJvJp/PI5PJAAD+/PNPywlajeW+ffvWdp0Mw8Dm5iZevHhhe5/byufz+PTpE05OTiCEQKFQAADMzc3VLaKgGn2bx9iBeDxuaxqq0/ng1XIBiHg83nI+uBDXixTW19ct56R3ez64rutia2vrRp2qr/Hw8LBt+YNIyoALcb1iprpix2pFTzweF5qmiUePHjlaGVMttxrMxrKFEKJYLIp4PC6Wl5ebfgkaV/SEw+GWizMaV/RomiYymUzb+jLgrUkbcCGuW7VMJiPm5ubMUFbDMTc3ZysgzViVi/9fxra1tdU0rNVVPs1ujcvbahdkNLu1Cm80GuXqnxY8QvC3CWWUz+fx5s0b3L9/H/v7+5xD08RAnsmUmWEYWFhYMOfGn52d4cGDB9jc3GTILUg1ikLXw5pfv36FrutIpVLQNA3b29vY3d3td9VciV0UyeXzeTx//hzDw8M4PT11tNxuELAFl1wwGMT8/Hy/q+Fa7IMrYHJyEqVSiauRLLAFl1x1OV8kEuFBpgUGXBLFYhHj4+MIhULI5/MArsO9sbGBhw8fYm1trc81dCdlAu7xePpdhZ7y+XwIh8M4OzvD9PQ0PB4PFhcXEQ6H8eHDh35Xz7WUGEWphluBl0JdpkwLTmSFASelMeCkNAaclMaAk9IYcFIaA05KY8BJaQw4KY0BJ6Ux4KQ0BpyUxoCT0hhwUhoDTkpjwElpDDgpjQEnpTHgpDQGnJTGgJPSGHBSGgNOSmPASWkMOCmNASelMeCkNAaclMaAk9IYcFIaA05KY8BJaQw4KY0BJ6VJH/Daa/Oofp0eck7a62Q2CzOv10O1pGvBPR7PjXALIW4Emq05AZJdZc0q2J1sR+qTIuC3CSxDToDLA27VzXBaXQZ9sLky4N0Idi/LI3m4KuC9DiJb88HjioDfdQvLoA+Ovg8T2hnys1OGk2FBDikOjr614N1sRTspi6252u68BW92oqYTnbTIbM3Vdmct+F31s9maU62eB7wfQ3SdPCdDrpaeBdwNY89szaknAXdbOG5bH7e9DnKuqwF3cyDYmg+mrgTcDd0Ru9iaD5aOAi5TsGuxNR8ctwq4rMFu1K3W3Mm+dLccB1y1FoytudocBbz2A1Xtw2TQ1WT7VL3K4QasT9nbPW3P0/3u5Xguiorhrupk8XLjvgy5O/R9uqwbWYX1tq059RcD3gK7HvLrWsCdLjqQRSetOfUfW3Cb2PWQk7Q/3dYPDLl82IKT0hhwUhoDTkpjwElpDDgpjQEnpTHgpDQGnJTGgJPSGHBSGgNOSmPASWkMOCmNASelMeCkNAaclMaAk9IYcFIaA05KY8BJaQw4KY0BJ6Ux4KQ0BpyUxoCT0hhwUhoDTkpjwElpDDgpjQEnpTHgpDQGnJTWtYDzx+HJjbragg9KyHmdHnnwEiYOMNTyYcBtsAr2oPxvJTvHAfd4PAPz4TLY8rPdBx+0a0U2vj6ry3yT+zk6yByEK/82fnkZbLl5xC0/PasWTmbd6I40+8LL/t7I7NYBB9QIeS+D3Wm51LmOAm4WImHQexXsdt04Gd4blXQl4IA8Iw53Fex2+7jxvVFR1wJuFujSD7Jfwe52HciZrgfcLNhFQe+0Lt0OJoN+d3oWcKD/Ie/G8/fyNfT7/RkEPQ24+SR3/EH2ojvSyzoz6L1zJwEH7uZDdEM/+7bYbemNOwu4+YQ9CLrMwW5XD4a8M3cecKC7YXLbAWS3MOjd0ZeAm0/exXCqEuxaMtTR7fq6JrNxIpPTWYrV/Z2ORcsyU9CqXr2c4HZ5eYmPHz/iyZMn5vvk8XgwMjKCSCSCvb09GIYBwzCwsrKCcrkMAFhaWqrbvvE2Pj5ubgsA6XS65fYejwfpdLo7L0q4BIC6m6zP0Uu9qr+u62J5eVkAEIFAQKRSKaHruvl4uVwWqVRKBAIB87n9fr/4+fNnXTmpVKqufq9evaorp1GhUBB+v7+uzFwu17XXJcR1C+EqvfgQZQ92rcbX0unryeVyQtM0AUC8e/euZSB1XRfRaFQAEJqm3QijrusiHA43fdxKIpEwX0c0Gu3otVhx3ZI1IUTdf8OdrCBSsQ9brX833qN8Po/nz5+jUqkgGo1iY2Oj5fZerxf7+/sAgEwm4/j52pmcnOx6ma78XRTRYd9cpn72bXX6HpXLZbx+/RqVSgV+vx/v37+3vW8sFoOmaY7q2y+uDHhVYyDbfYiDEOxGVu+RHQcHBzg/PwcArK6uwufz2X7OYDCIx48fo1Qq2a9on7iui9LIzn/JKnZFnLB6j1opl8vY2dkBAGiahtnZWcfPGYvFoOu64/3umusDXtX4IXJ52E12X3s2mzVb7+HhYdy7d8/xcwWDQcf79IOruyhWmn2IqndFuunz58/m32NjYxgaGupjbXpLuoADN8PMYNtnGEZd33l0dBRer7ePNeotabooVhhs96pUKpienu53NeRswcn9NE1DLperm05hdUskEj2tBwM+YLxeL0ZHR/tdjTvDgA+g2jOGpVIJhmH0sTa9xYAPoNnZWfNM5MXFhRTj2bfFgA+giYkJTE1NAQDOz8+RzWb7XKPeYcAHkNfrRSwWM+8nk0nH3RTDMLC3t9ftqlkqFosIhULmVIxQKIRisWhrXwZ8QL18+dIcwTg+Psbbt29t72sYBjY3N/HixYteVc+Uz+fx6dMnnJycQAiBQqEAAJibm6tbRNEMAz7A1tbWEI/HAQB///031tbW2rbkxWIRm5ubWFlZcTRBy44fP37U3TcMA+l0GhsbG+bJqImJCezu7uLq6spe16rrM8xJOqlUylz0oGma2N7eFuVyuW6bYrEo4vG4WF5ebrooonFFTzgcFoVCoenzNq7o0TRNZDKZtvWtLtI4PDxsuy0DTqZMJiPm5ubMsFdvgUBAbG1tNQ1rdZVPs1vj8rbDw8OW2wNoGd5oNGp79U9fV9UTOZHP5/HmzRvcv38f+/v7tubQSD0XhQaDYRhYWFjA8fExAODs7AwPHjzA5uZm25DzIJNcz+v14uvXr9B1HalUCpqmYXt7G7u7u233ZReFpFNdLD08PIzT09OWozlswUk6wWAQ8/PztrZlH5ykNDk5iVKp1HY1Eltwko5hGDg6OkIkEuFBJsmrWCxifHwcoVAI+XwewHW4NzY28PDhQ6ytrbUtgwEn1/L5fAiHwzg7O8P09DQ8Hg8WFxcRDofx4cMHW2VwFIWUxhaclMaAk9IYcFIaA05KY8BJaQw4KY0BJ6VJGfClpSX8/vvvSv9gDXWHdAEvl8s4PT3F9+/fbf90AA0u6QJevfRGpVLByclJv6tDLifVqfpyuYynT5+aVyfw+/1tJ7zTYJOqBc9ms7i6ukIgEACg/s+OUeekCbhhGEgmk5ifn6+bSVZ7OQ6iRtIEvFgs4vv371hcXMTMzAz8fj+A6wuSVucKEzWSJuDJZBJTU1N49uwZfD4fVldXAYAHm9SSFAGvDg3GYjFziVLtb1wfHR1xTJwsSRHwg4MDAMDMzIz5b7W/cc0xcWrG9QGvXpW38XLTXq8XkUgEwHU3JZlM9quK5GKuD3h1aNDqctN//PGHebB5enpq6/eiabC4OuC1Q4NWl472+Xx4+vQpAI6JkzVXn8ms/kRXpVKxtX04HMa///6r9JV7yRlXt+DVoUFd15teSFTXdYTDYQA82KSbXBtwq6FBK40HmxwTp1quDbjV0GAztWPiOzs7PNgkkysD3mxosJnaXxvlwSbVcmXADw4Omg4NNrO4uGj+fZvrPpKaXBfwf/75B+vr66hUKshms7aCahhG3azC4+NjLCws8ICT3HMZQV3XRTgctrziViKRaLpfuyt2tdqX1OfqcXCiTrmui0LUTQw4KY0BJ6Ux4KQ0BpyUxoCT0hhwUhoDTkpjwElpDDgpjQEnpTHgpDQGnJTGgJPSGHBS2v8BWLjMclZ4t14AAAAASUVORK5CYII=)
chemistry-General
chemistry-
The name of monomers present in the following polymer
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)
The name of monomers present in the following polymer
![](data:image/png;base64,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)
chemistry-General
physics-
Two particles 1 and 2 are projected with same speed
as shown in figure. Particle 2 is on the ground and particle 1 is at a height
from the ground and at a horizontal distance
from particle 2. If a graph is plotted between
and
for the condition of collision of the two then (
on
-axis and
on
-axis)
![](data:image/png;base64,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)
Two particles 1 and 2 are projected with same speed
as shown in figure. Particle 2 is on the ground and particle 1 is at a height
from the ground and at a horizontal distance
from particle 2. If a graph is plotted between
and
for the condition of collision of the two then (
on
-axis and
on
-axis)
![](data:image/png;base64,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)
physics-General
chemistry-
Wurtz reaction of methyl iodide yields an organic compound X. which of the following reaction also yields X ?
Wurtz reaction of methyl iodide yields an organic compound X. which of the following reaction also yields X ?
chemistry-General
physics-
A particle originally at a rest at the highest point of a smooth circle in a vertical plane, is gently pushed and starts sliding along the circle. It will leave the circle at a vertical distance
below the highest point such that
![](data:image/png;base64,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)
A particle originally at a rest at the highest point of a smooth circle in a vertical plane, is gently pushed and starts sliding along the circle. It will leave the circle at a vertical distance
below the highest point such that
![](data:image/png;base64,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)
physics-General
physics-
A 0.098 kg block slides down a frictionless track as shown. The vertical component of the velocity of block at
is![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486109/1/914752/Picture526.png)
A 0.098 kg block slides down a frictionless track as shown. The vertical component of the velocity of block at
is![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/486109/1/914752/Picture526.png)
physics-General
Physics-
A small mass
is attached to a massless string whose other end is fixed at
as shown in the figure. The mass is undergoing circular motion in the
plane with center at
and constant angular speed
. If the angular momentum of the system, calculated about
and
are denoted by
and
respectively, then
![](data:image/png;base64,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)
A small mass
is attached to a massless string whose other end is fixed at
as shown in the figure. The mass is undergoing circular motion in the
plane with center at
and constant angular speed
. If the angular momentum of the system, calculated about
and
are denoted by
and
respectively, then
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANwAAADlCAYAAAA4L5nkAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAB0USURBVHhe7Z0JkFXFFUCppEw07kk0BoyiccNdQYLGFVSiKCEQkAlQQERlj2JAEI2yCCNQBAGhREGMgAFExYW4gOwji0gwoICCgEAUxMhOgOEm5/reOAx/hv/nL/2We6p+IT1f0Jl/Xnffvn1vBTEMI2eYcIaRQ0w4w8ghJpxh5BATzhHr16+X2bNny759+7wRIw6YcI547rnn5Je//KVMnTrVGzHigAnngA0bNsh1110nFSpUkNatW8vu3bu9rxhRx4RzwLhx41S2I444Qs455xyZO3eu95XscuDAARk4cKBcffXVRa9rrrlG5a9evbr06tXLe6eRLUy4HPPZZ59J06ZN9UN+2WWXSY0aNaR79+452cv16NFDOnbsKAsXLtTX+++/L4sXL5a+fftKtWrVZPXq1d47jWxhwuWYOXPmSO/eveVvf/ubXHLJJTJ69GgVYfny5d47ssfDDz+sM1xx3nvvPWnevLls27bNGzGyiQmXY5jJCgsLZezYsRo0WbZsmezfv1/27t3rvSN78Pfw8iFg06hRI9m8ebM3YmQbE84RzHAIt3TpUm8ktzDT5uXlyRdffOGNGLnAhHOEL9y//vUvbyS3VKlSRRYsWOD9zsgVJpwjXAo3ZswYad++vaxbt84bMXKFCecIV8KNGjVKWrRoIRs3bvRGjFxiwjnChXD8nX/84x/14N0H8Tp37qxndEb2MeEckUvhkInjB4Ikq1at0jGiorw4hzv33HNNuBxhwjkil8IVFBRIpUqV9EV2CYfc/uumm26SlStXeu80so0J54hcCrdz504NkHBDgRmu+MsCJ7nFhHOEiz2c4R4TzhEmXDwx4RxhwsUTE84RJlw8MeEcYcLFExPOESZcPDHhHGHCxRMTzhEmXDwx4RxhwsUTE84RJlw8MeEc8dJLL2nFrs8//9wbMeKACZcE1B0ZPny4DBs2LCOvJ598Ugv3nHzyyZKfny8jR45M+L50Xu+8885B9UuMYGDCJcFbb72lZe2o4ZiJ14033ijnn3++1qbkddZZZ8nNN98s1157bcL3l+fVr1+/nBQmMlLDhEuSrVu3lvqixFyiV6L38tqzZ48888wzcsYZZ6h4V155pdaE3L59e8L3l+dls1swMeEcQZm8Sy+9VIMn7OUeeOABuwQaA0y4DNCyZUtdJt5www0HvSZMmOC941D8KOWaNWvk6aeflh//+Mfy9ttve181oooJlwFmzZolJ510kkyePFlmzJihr3vuuUfHXn31Ve9dB+ML9/HHH+sSs06dOjrTWXGfaGPCZQAkoVRB8SAFy8OGDRtq8CIRvnAffvih/n7t2rVy9tlny5133mn7rwhjwqUJchBdXLJkyUF7sP/+979y++23H1a44gfflLD7yU9+IpMmTfJGjKhhwmUAql5t2rTJ+923NUSYqU455RQ9UkhEIuGgSZMmctppp2mXHSN6mHBpMn36dA2a9O/fXw+0edEgg5lqypQp3rsOpTThqPV/wQUXSOPGjW1pGUFMuDS54oortOVTly5ddHbihYCvv/66947ElCYcsKQ87rjjtJakES1MuDRh/1aeDqZlCUdLqzZt2mjq16JFi7xRIwqYcGly1VVXyezZs73fJU9ZwgF7wssvv1zq1q2rWStGNDDh0oCOogMGDJBvvvnGG0mewwkHr732mhxzzDEyZMgQb8QIOyZcORk0aJAcddRRcvHFF0utWrVS7iKajHAsLUn5Ov7442XmzJneqBFmTLhywmH3p59+qpkidDFNNTM/GeHgP//5j9SsWVNTx7Zs2eKNGmHFhHNEssIBd9tOPPFE6du3rzdihBUTzhGpCAePPfaYHH300SqfEV5MOEekKtyuXbvk1ltvlRo1atjSMsSYcI5IVTiYN2+e3kCgY6kRTkw4R5RHOBg6dKguLUu79mMEGxPOEeUVrrCwUBo0aKC3xYsnTBvhwIRzRHmFA44iKlasqJdcjXBhwjkiHeGAmijHHnus/jlGeDDhHJGucBy0U9uSqzx2dy48mHCOSFc4WLFihVSuXFny8vK0LooRfEw4R2RCOCBaSdTSEpzDgQnniEwJx9KyQ4cOcvrpp2tJdiPYmHCOyJRwsGrVKq3gTKk9qi4bwcWEc0QmhYNp06ZpWQbu53FWZwQTE84RmRYOunbtKj/72c/kn//8pzdiBA0TzhHZEI7Mk2rVqmn3nPLcQjeyjwnniGwIBwUFBVoP89FHH/VGjCBhwjkiW8JBjx499FYB8hnBwoRzRDaFo8z69ddfrwnOlGgwgoMJ54hsCgecyf3iF7+Qe++91xsxgoAJ54hsCweDBw/WvnNvvvmmN2K4xoRzRC6EoywDHXzOO+88bYdluMeEc0QuhANK+ZHg3LZtW2/EcIkJ54hcCQc08KeCs/Wdc48J54hcCsfSsmnTpprgTNFawx0mnCNyKRxwSZXLqs2aNVMBDTeYcI7ItXDA33nkkUda3zmHmHCOcCEcHVXbt2+vWSjWd84NJpwjXAgHX375pVZvrl+/vuzevdsbNXKFCecIV8IBfee4O2dlGXKPCecIl8JBt27dtPH//PnzvREjF5hwjnAt3Pbt2+Xqq6/WvnM0fjRygwnnCNfCAb3J6a7as2dPb8TINiacI4IgHOTn58sJJ5ygNVGM7GPCOSIowu3YsUNq166tZRns7lz2MeEcERThYMGCBdrS+M9//rM3YmQLE84RQRIORowYoUcFL774ojdiZAMTzhFBE27btm16GH7FFVfo4biRHUw4RwRNOFi8eLFW/LrrrrusOUiWMOEcEUThgL5z3J3jVyPzmHCOCKpwzGxc4TnrrLOsLEMWMOEcEVThYOXKlXLmmWdKw4YN7e5chjHhHBFk4WDy5Ml6ID5q1ChvxMgEJpwjgi4cEDyhABHtsIzMYMI5IgzCcTxA37lbb71Vqzkb6WPCOSIMwgE5lrTAGjp0qDdipIMJ54iwCAekfFWqVMkqfmUAE84RYRKOpGYyUK677jpLcE4TE84RYRIOuBlO8SFaYRnlx4RzRNiEo+IXstEcZM6cOd6okSomnCPCJhzQxpiSDFWrVpUNGzZ4o0YqmHCOCKNwQMP+U089VR5++GFvxEgFE84RYRUO+vfvrwnOb7/9tjdiJIsJ54gwC7dz50753e9+J1WqVLEslBQx4RwRZuGAlsZnn322dOrUSQ4cOOCNGofDhHNE2IWD4cOHy1FHHWV951LAhHNEFISDFi1a6P8HnVaNw2PCOSIqwq1fv14uvPBCad68uTdilIUJ54ioCAd///vfNWr57LPPeiNGaZhwjoiScNChQwdNcF6+fLk3YiTChHNE1ITj7tyll14qd9xxhzdiJMKEc0TUhIMpU6Zo1PKJJ57wRoySmHCOiKJw8NBDD+mFVTrzGIdiwjkiqsJ98cUXcuWVV0qdOnWs4lcCTDhHRFU4oCzDscceK48++qgUFhZ6owaYcI6IsnAwYMAAbWlsfecOxoRzRNSF27Rpk9SsWVP7zm3dutUbNUw4R0RdOHjvvff0hjhFiPbu3euNxhsTzhFxEA5IcKbZo92d+xYTzhFxEY5I5W233SaXX365bNmyxRuNLyacI+IiHHzyySdSsWJFLZ0e96ilCeeIOAkHzz33nEYtJ0yY4I3EExPOEWPGjImVcJTZy8vL07IMca74ZcI54vnnn4+VcLBu3Tr9f27UqJHs27fPG40XJlySULeD/QdPagIBfph7+/bt8tFHH2n5uM8++0zHgH7ZvXr1kscee0zmzZunY/z7U6dO1eTeBg0aaGcaaoMAMx7v/+tf/ypfffWVju3YsUMrHnN4/OGHHxZ1sOFXsvP//e9/h670+Kuvvio//elPY3t3zoQrAWLxYUaigoICFQqQoE+fPtK+fXtNWVqzZo2Ov//++1K/fn2pUaOGdOnSRcfgrbfe0qKpvMaPH69jCEeYnLELLrhALr744iLh7rvvPh2vV6+ezgRA2QL+bMRs06aN/ncBs2LLli01+kfJOh/+rHHjxsk777xz0LItSEV+du/eLa1atZLTTjstlmUZYi0cH+APPvhAu30iGCDFwIEDtSfaLbfcUjS+efNmPcBt3Lix9O3bt2gWIqMCuV5++WU96E0Wgge09S1rScksyiy2evVqFcifVZlJEa179+4HBSFGjx4t1atXl2uvvVYmTpyoY8yGzCadO3fWX0kudg3/T5Rl4IERt+YgsRAOiZiRXnnlFa2L739w+VD+5je/kdq1a8sLL7ygY/Duu+/qHmvGjBlZ+0BkI0pJvUgeBAsXLixqiE+TfGY9HhTMngsWLNBxlqvt2rWTe++9V6Vl5sklLK3JQhk8eLA3Eg8iKRwfsiVLlhSJxYcasS655BLp3bu3ftiA8yEkZJZjBsslLo4FmN22bdum/8w+lJmcJSvLZGQFZH3kkUe0tzf70mwFN5h5WUZzd47vf1yIlHDsVfr16ye//vWvdT/kL5/49aWXXpLp06frk5/Ah2uCcg7HzEblLX+fR7Cnbdu2upx++umnix5aK1asUAFZLWQKZmOSm6+//npdmseB0ArHE5rZiRvGfp4eHxqCElwNYenITBdUgnzwTXY/gvkPLB5QRE+ptMzeNpW96uFg2X7yySfrzywOhEY4BOOD4M9O7DsoWkPEq/h1fv+JHHTClGnCgwz5Zs6cKUOGDNFZEMiNfPzxx2XEiBE6Q5UnGsq/QyeeE044QebOneuNRpfAC8feglLaZCkg18aNG3Wc5QjLQ8L2QVgipkqYhCuJv6wkcvqXv/xFLrroImnYsGFR4IVfeUAmC/s5AlfVqlUrOvqIKoEUDqn86CDdWVq3bq2ysQcLywx2OMIsnA+zE0GVr7/+Ws8A/QffG2+8oeeGVPHia8mwaNEiPZtD4CgTKOGIGnK4TPiajIQoEwXhEoGE7PGaNm2qh/ucUSYL+7ijjz460nfnAiUc50Vsynv27CkrV670RqNJVIUrDgf2fuCFVQs/V2a/ss786DvHoTiH41HEmXCchVGTnkbtfooP+7FMhp2DTByEKw6JB82aNdNAV35+vjd6KERHK1eurGeDUcSJcBy+ko943nnnacpRHK9rxE044GHKvo40OGDPx8xXcl/+zDPPaAXnKN6dy6lwzGqs8Yk8sk4nhSouM1pJ4ihcSXjwduzYUZeRBE18+EzQd+7cc8/VfX2UyIlwrMdJtGVJkeucvaBiwolGOEkl4+YDTUD8WxLA/o/vD2UZokTWheM8hjMaahQyq8V1RiuJCfcdrHzYu/FZYZlJoAUZScf70Y9+pEvMqJA14ZjJWD7yYrngH1gb32LCJYbtBrPaPffco+KR4Mz5XFQSnDMuHKJRMIbby/7lTeNQTLjE+Od4tWrVUum49eH3nfNvvIeZjApHtIkMc55I5MdZievSMeHKhtxMgmpAZJOyDIMGDQr9liSjwrEc4FaxX1LAKB0TLnmQjxmPWwVcEQozGRGOfLkoTPe5xIRLHhIjqPRVoUIFuf322wN97epwpC0cGftNmjTRqxtG8phwqUFtGV86asqElbSEI0OEQ0uu6XNuYiSPCZc6LC3JTPr5z39eVHowbKQlHBcQuU7hV7YykseEKx+c1VGWgbbG33zzjTcaHtJeUoZ5Pe0SE6788D078sgj9aiAY4QwUS7hli5dqpWAjUPhA0AQiXQ2vzpYIky49GAf973vfU+eeuopbyQcpCwcH6a6detKt27dvBHDh2gaxyKcQd55551a97G0BG0TLj0osUHRW6pX+0V5w0DKwg0dOlTXz/ZBORjKP1DxmBJzbOjJcqfI6kknnaSlx0tiwqXP8uXLpVKlSpoKlkrpDfo18DPxj7KoLkDJeiAQ+I9//CNrtVVSFu7FF1/Ul/EdzGIU0qFxR3GY2W666Sbda/iFVn1MuMxAwdrjjz9eC00lC5XGjjnmGBWWO3fMktQx/fzzz7U/xOmnn67lFrNB2kGTuEMR1csuu0zuvvtub+Rg/vCHP2g9R95XnJEjR2rV4bBnTriGvXLVqlW1qjYzU7L5u1Ti5hAd+bgWxAOTYlXMfJ06ddJyENkgaeHsWk1iKAXA07K0TjC0peLDUPK2BLNihw4dIlu7I5cQQOFAnOX773//ey0uWxZjx47VpSgPSYJcbANOOeUUne0oIMze2+/BkGmSFo4PFIGSqBf3SQWSs6lMRRApUWobX6fsevPmzQ+p08itCkvuTh/2WizZEc5/cbvAL16UCApV8T4O0rl1zj//6le/0q+x7+7atav+czZIWjjKnXHl3e+LZoheI2G9X9oFSfZpnBfRRsrIDvwM2MMVF47XrFmzvHccym9/+1t58MEHdV/Nvo29tF++nfHiff4yTdLCcceNpgvGd7DeJ82I6mMloZDtDTfcIFdddVUsiyTlCi6mVqxY8RDhKN2QCKKZrEjefPNN/T1BK6LLwC1zelWQPpathI6khaMJoP8UML6FZTYBEUr9FYflI/uA4447LqVCqEbq8L1mGfiDH/xARfv+97+v+b2lnc2xXyOazL/HmTKyEa0EAlks/++//37tD5gNkhKOjSXCFa+sZHz7fSFocsYZZ8hrr72m+1uijpQFYKx4k0cje5DTi2SsNsjtLaucBzIRNAFWIcx2/v6aTrgcEXCJuuQxTqZISjimYepIUnXLOBh+2A888IBuuintRl81hKMngpE7OH5hVZEu2Y7GJ72kfPLJJ3U/YiSGJQyrAIs85h72XsxcLAmDTtLCsX+jqXzYsrONeMAxQLKdelyStHDUC+QU34QzjPKTtHCGEVSoNlBapk/QSEk4Dr2JxpV1z8swcglBK0L93GIJAykJx2EiCZ+JrpsYhgvIm6xRo0ZoPpMpCUf+H9VwuVxpezkjCNDEk8yQRH3e+bwGLcsn5T0cB7tkVZdMxjUMF5CClSgNi2OaP/3pT9prPEhY0MQIJdzOKO0YgCtPdGzi2hQdeIJEuYWjRNm0adNCWarMCDesrkjh4jZGSYhY+tdvSNMKWoCv3MKRr0Y2PGlN2co7M4ySkGZIRj+37Esm09Nph2RkZPvhD3+o6YhBI60lJQ0WuYBJdxPDyAXs18h48jvr+BQUFOjFU/96zoknniiLFy/2vhoc0t7DUa3q448/9n5nGNmH6KMP0UluZZx55plFsvHiqCCIea0ZC5ow1VMoJ1F41jDSgc/UE088kfCsjTIJHHzTP47CsMh2xBFH6BWbINbhyZhw3C3iegqXAakTYRiZgM9Vx44d5cILL5S5c+d6o99BtJIyCVwCpodc5cqVteQCdUGDSMaE4yk0e/ZsvcJDmTGr8mVkAvZmLVu2LLWCNTDzUYsE8ajaxWXUoLa7zphwPlxXL7mhNYxUYIXk39omSFJWFJx0Q2ZAf/ajNiXRyqCSceGKw2k/xYf8MtKGURZcJKVJDJUFSNc6HCTTE7F85ZVXvJHgk1XhmOIbN26svQio38431DBKg2Ugy8HbbrvtsA9pskw4jwvDLe/iZFU4YHkwePBgbSuUrdJjRngha8RvnEEcgLPdw4XzEbNPnz4yZMgQbyQ8ZF24kvDNzc/Pl6lTp9qNgxhDdJESgsxolCpP9jiJzw9pXTzEw0jOhWMpQMGXc845R79xiUqEG9GHsD0RRRrlc6ctmag2gRR671HQKqznvTkXDsgUoFrxxIkTi/Z1a9eutT1ehOHBSrUAP92KpHfqnCabXEzZQQIpNLwM88rIiXCJoKAqpdSp0x/UMxSjfFDnn0AICcfliSiSOkiSPA/psD+UAyMc53d0LaGEg9/CiXQxy1oJFywNqTNCjU7//IwzMvbt9AFI5WHKsvGNN97QDCai3FFIpgiMcMA3mB+Wvz7nycjdpoEDB+oRgxFsiEJzR40rMnXq1JGPPvpIx/l5pioLS06ikPRwQ9SoBNgCJVxJqEdBBIuliB8C5hvPJUMSpaPwxAsrfrI6d9KWLVumPxcCYuQ0PvLII3qAXd6fDz0aSNWiHyEP4CgRaOF8eHL6Z3g8Ldk8U8O/d+/eoai2GxWKCzRz5kypX7++VKlSRffdmXr40UaK7H+y/aNIKIQrCZGuXr16afMGv9UQy5dhw4Zpw3+KgtrslxmYyZCAhxuzF78HkopZ6rM/88fSgVUL/bZZQiJzVAmlcMXx93skrDZp0kS72AwYMKBoRmTzPn/+fM3rtIP2suEqDKH6l19+uWjPTOCD3MaaNWuqEJnOFuJnMmbMGG1oT6oWx0NRJvTCFYfzPZqhI58vIqHkatWq6Q1gIl0+XFyM83KUBxDfJx5IwCw1aNAgqV69utSuXVvmzZun46wUCMtn46iGv4P7k7xef/11bzTaREq4RPCk5uyHoAsy+rBP4MPFrOg/VRGWDIgoHUWQq8gVFpbh/gzPEvGaa67R1QDLcMZ5QPE+ZjcSh7N5Frp582YNhnHPjf0fD7+4EHnhSgP5xo8fr/sQPgDAPpBwdtWqVfVMkCUWMAuMGDFCq/z6MwLw9OcgNpf7RV8O/l5fIB4QzBDIQ1Kv/wAh75BkAprGd+/evSirY+nSpfoQ4t4iV1xyxbp16/S/j6b2/fr10/7acSO2wiWC/QohboqH8gH2q0tzk51MiYsuuuigft7saagUlZeXp8WUgH9n0qRJ0rNnT51V+ZABkvAe0psIOPhLXmTng88BL+dN/jj/zIeTUm/FSwuMGjVK/06WyQSIgNA5eamcf7Vq1apo/4VgzGbsy1zVm2HPR5ifoAsPM75nzLbFCwHFCRMuCfjQIAYf2uLnQnxwqBhF5jrLMeDAlqwKBKUHA7MJ8OGnjuf555+vy1iEojQAJQaZhSg3yM1lfxZClHr16snNN9+sOac+PAi41MtDwW9rzAzLlRZmNH51HaFFbM5Q2aPxIOB70b9/f10dZDroEjZMuAzhL+/4lQAET3A+XP6Hn3H2RSz/mEnJyODGBL0a/HFmR//P4UPLn8GreP6g//UgwvJ0zpw5Mnz4cO25TZoemf10J3UxuwYRE84RzFJUmPJnwDDCg4JzUGZj+rMR2keyLl26aAZK3GezRJhwjmCGI5gRpsABy2pEev755zXoQSCG5AP2sNxxpNeE3W8sGxPOEUETjqUq+0/+e1gWEsQZPXq0pliR00ixHs7LOE5hb8p+k+UiWSFlVdUyDsaEc0TQhCOaylEIqVXcTaS3GrMWL8aJlpJEwGG5zWLlx4RzRNCE48yRAj7Mbvw3EVEk4mmzV2Yx4RwRxj2ckT4mnCNiJdyB/bJvf6H4BxoHCgvl/7+NJSacI+Ii3P6t62TetIkyZfE6+fYST6FsXrVQJk2aLp9sClZ30lxgwjkiDsIV7vpKpr3QVx4cNExmr/xKdu3cITv27JNta+bL8D5dZNiUxbIjZufhJpwjoi/cPvn03Wflvk6dZcSslbJl3QfywrNPycT562X/9rUyYUA7aZU/QVbviNfa0oRzRNSFO7B3lYzv3kLaPjhGPt0tsqFgpNzfpp2MnLNRZM8GGf94e2n04GhZsS1etUhNOEdEXbj9m+dI3yYNpOvgucK9gA/GdZN2dz8k7679/9c2zJUerRtKi/6T5cs9wc0NzQYmnCMiP8NtXiAD76orzTs/JdMXFsj4AXdLm/t6y9gpC2Xy4K5yR15rGT5jteyNl28mnCsiv4fbt10WTegtzRrcIvVb3S/DJkyQ8U/1l3YN7pAG9VpK/rg5snFX/M4GTDhHRD9oQpRyi3yydKHMW7xUNm7bI7u+Wi/L5s+TRUs+la93x2xq8zDhHBEH4YxDMeEcYcLFExPOESZcPDHhHGHCxRMTzhEmXDwx4RxhwsUTE84RJlw8MeEcYcLFExPOESZcPDHhHGHCxRMTzhEmXDwx4RxhwsUTE84RJlw8MeEcYcLFExPOEZQRP/XUU7WSsREfTDhH0POtVq1aOe1AarjHhHMEPdPoDVe895sRfUw4w8ghJpxh5BATzjByhsj/AGn81O1I7C26AAAAAElFTkSuQmCC)
Physics-General
chemistry-
The monomer used to produce neoprene is
The monomer used to produce neoprene is
chemistry-General
chemistry-
What is ‘A’ in the following reaction?
![](data:image/png;base64,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)
What is ‘A’ in the following reaction?
![](data:image/png;base64,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)
chemistry-General
chemistry-
What is ‘A’ in the following reaction?
![](data:image/png;base64,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)
What is ‘A’ in the following reaction?
![](data:image/png;base64,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)
chemistry-General
Physics-
Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is
, then the ratio of tensions in the three sections of the string is
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905325/1/914718/Picture524.png)
Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is
, then the ratio of tensions in the three sections of the string is
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/905325/1/914718/Picture524.png)
Physics-General
physics-
A weightless thread can bear tension up to
wt. A stone of mass
is tied to it and revolved in a circular path of radius
in a vertical plane. If
, then the maximum angular velocity of the stone will be
A weightless thread can bear tension up to
wt. A stone of mass
is tied to it and revolved in a circular path of radius
in a vertical plane. If
, then the maximum angular velocity of the stone will be
physics-General