Chemistry-
General
Easy
Question
angle would be maximum in
The correct answer is: ![left parenthesis C H subscript 3 right parenthesis subscript 2 C H minus O minus C H left parenthesis C H subscript 3 right parenthesis subscript 2](data:image/png;base64,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)
Related Questions to study
physics-
A circular loop of radius 20cm is placed in a uniform magnetic field plane the loop carries a current 1A in the direction shown in figure The magnitude of torque acting on the loop is nearly
![](data:image/png;base64,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)
A circular loop of radius 20cm is placed in a uniform magnetic field plane the loop carries a current 1A in the direction shown in figure The magnitude of torque acting on the loop is nearly
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)
physics-General
physics-
Two 1ong wires are placed parallel to each other 10cm apart as shown in fig The magnetic field at piont P is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448380/1/928702/Picture4.png)
Two 1ong wires are placed parallel to each other 10cm apart as shown in fig The magnetic field at piont P is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448380/1/928702/Picture4.png)
physics-General
physics-
A proton accelerated by a pd V=500 KV moves through a transverse magnetic field B=0.51 T as shown in figure Then the angle q through which the proton deviates from the initial direction of its motion is (approximately)
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T4Mo9cevLP50C+cC70588KKe+dcLCUNywsHGPGjsMns2bhypWrMH5v/j0mU30dSi/twqa5H2PC8nOIqmiD3emE06GALO84Nk0ai+nLjuJsgQb6XhSwk/hEIEZ8Lo9LWIoyVVqEZEmB0MdNwOMRGjzimnKQ0Jwn1Id1xdoK3obHcHoWzfG+i0ktBUIXlpvdVniKy4V4pSFD+N7Mjl4839F98LX4Upn4FOVwsnPIYzDAfD0dav89kC9bBOXGtTBGRTDpydtfdWdqamqxZu1XGDlqFLZv34GGhob2LbfgMEHfkIvMmFCcCU9HXm0z5CoVVKomSKquIfLUeUSkVLDMxc3eT/tregEkPhGISnWZ4EwOK5RmLROCWejgeys8OlKYNcJoBi7Jng5PXy0uO9pYBMs/E+/AfSt2t0NYo4T367Ox/Yjv8434/IU1N6xtSljTUpjsvhLWyFBt2wQzn0TU1LEO4FarTYj6Ro8eg3nz5iEjIwNOFs19G3bk2PGwW5gA9Xro2+SQtTShWapEm8EMg94Es41FgL2sdoLEJwKxjRsd6brBo71eM1aXf5J7fGZep+luT+GIb3OxlonvyjKW6vohvTwV2oQYqNetgXTmNCa9jbBkZ8Jjtbbv3TEKi4qEBo5JkyYhJOQCdLp7tKy7bLCYjDCaHSzV7r2Q+EQgVnwEIYYLdal4/+qX+CxiA5KD/CBdsQStM6dDvWfHjUlE7zSf3l1olkrx5apVGD9hAgL2H4BEdud6QV+CxCcCEh/RlYQ1XMOokEVYvnM6UuaMFzomq/kaGbk5N6aL59E0l19HC9tfzsS3detWfPjhBGzZvBnVlZUsNGfnLS+3e01PLB3IrL4LiU8EJD6iK4mvzMCiXTOxb9KbyBv4GmQfjYNmvz/MGddgKy5ipRDWwoIOF3dFGSRJSdi9fDk+HDIEq+bORUFYKBzsd9lZud1relQpyIc1PxdOpaL9G+w4JD4RkPiIroDHKxonkJySgeOzpyOyz99Q3u81SD8ai9Yln0Gxahkry6FYyR5FFO3alahevAABw4Zi+ksvYFX/vrg2+xOo2O/i5Xav6UmldfkStH6xUFhFTiwkPhGQ+IiuoM3mwfl6K5aeSMO6aUtxcdhwFE0aA8ncGWidPxuyTz+GdLb4opgzA3Uzp+Lq2JHwH/QuTn0wGPlTJkDOfh8vt3tNjyqfTIFk+kSY4mPbv8mOQ+ITAYmPeNA0GZzYX2zAB5FqPBkQizc3rMUG/7XIvnAMuthImONjYIyL7lQxxcWw3xEF6dXLqAkPRcPlcKijr7Ln+bbbv6ZHlZhIGNnncTTepn/iPSDxiYDERzwIlGYXUqVWXKozIajKgKXpGsxL0WLg5Uj8JXgZ5qUfQJa6utetbNadIPGJgMRHPAjSpBaMjWrFm6FS7C3SoVLrgtHhwdmqZLx3eSnmp/kjU1kBZy/p39kdIfGJgMRH3C+850W+0obDpToW7elRe8sA2Cv1qRgacZfZWYgHBolPBCQ+ojO42GlisrthZlEd7z6nYz8rrU7YvjNbyj2npSIeGCQ+EZD47h8+G7BKpYLF4hsrrfH6vEt1Zhwp1SNbboX9LhV3JD7vQeITAYmvY/B53/iAd4lEgubmZqG0tLSgtrYWiYmJ8Pf3R3R0tLDP9+aI6yXY3R5UtDkQUKzH8KutmBKnQGyTWXj+TpD4vAeJTwQkvo5htdlQUFCAEydO4MCBAzh8+DACAwMREBCA5cuXY/Dg94XH4uJiYd643obJ4Uaa1Iol19R4K1SK0VGtOFNlgNLCJ6S4MyQ+70HiEwGJr2PwqY94tJeZmYnU1FRcu3YN6enpSE5ORmjoRUGCkZGRkEolcPGxlr0ILrewOhNmJKrQP1yGTxKVuFhrgtx8b4mR+LwHiU8EJL674YHb5YTDZhXmgTPzYjLBqNdBp9FAo9GiTWuESmcSIkIIF3Xv+f4sTjfK2uzYX6LHuBgFBkW0Yvn1NiRLrNDbO/Y5SXzeg8QnAhLf3XDDYdGhTVKFyrxUpCVEITomDnHJGbieU4DCokIUFuQhLzcHuXklKKtXQ23pHTMR8mq7RoMDxysMmBSrwMjIVmzL16JIbYdVxAyeJD7vQeITAYnvbjDxmdRQVKQi5dQ6rJk1EkM/GI/xC7Zjz4lQXIkIQ+i5Iziy6yusXLQQi9cexLG4ctRobbD18K/RwcxXrrHjBBPf+mwNe9Sjkv3bIfJzkfi8B4lPBCS+u+N2mGGSFqDgwkosHflX/OGJl/HKVD8cupqDstJ85GWlIOnSCRxdOwUTB7+HwR9vgV9sHRq0PW+Mgo1FcjyFNbEUl0d1rWaXEOHlKa2QGPlU7eI/EYnPe5D4REDiuwfsYnfbJJBl+GH79NfwzJNvoe+icMRUmmGzWWAxm2DUse2ZO7F2+FN4/PF+GLLqKpJrdehJyw9pWIiaLrUhvNaEdJkVCiY9HvXZXB7hsbOQ+LwHiU8EJL4O4FGhrfAIAua+g1eeGYjBq5OQ2dq+7Sb6MAROewq//Off4y+Tj+JScWuPWKiaK43PphJSYxS6qixKU+NclQEtxgfTJYfE5z1IfCIg8XUAlwKq/EDsm9MPL/25L95ZGIrIUh1MJgP0Bh206mbIsvdg/dhn8PhjfTFo2SUk17Shu6+7xtPZYpbK7i3U4aNYhdA3j9fnZcgsLOV9MF1ySHzeg8QnAhJfB+DiK+Di64u/PfEiXp6wHXsvXkNebgbS0+IRff4A/BcMxeBXXsQro1dh4+VK1LXZu20dH89c1VY3ElssWJXZhlGRrZgQoxBabTPlNmFWlQcFic97kPhEQOLrAEx86oIj2Pfp23j+t3/BM0OWYlVAMC5fCsH5437YtXwyRr/wBH7/+9fx7meHcSZHhlYzX5iy+8Glx1Pb8yy1nZWkxKAIGT5NViG42ohanQNW14N91yQ+70HiEwGJrwPcjPg+7YsX/vAKXp3qj8NR+agqz0duWiQijm/Emsn90ecvT+Ov78zEwoMJSG/QwdgNB3AYWDR3sdaIiSy1fe+SDGuy2oTGDI21a94sic97kPhEQOLrAF+nuv3w0tP9MeCLCMRXW+ByWGA2aNAmrUFNzlnsnfU2XvzfX+Hpd+Zj7eVylOk93W7G4VaLC4dKdUIjxqESHWpYlHcfjbb3hMTnPUh8IiDxdQC38kaqO6c/Xn7mXQxaGY90Sfu2rzGg+NhMjP75D/Cfv3odI/1SkShxPdQGDu4zo8MNBZMd75/Hu+HxefOyFVZ2rG0PrAHjbpD4vAeJTwQkvg7AxZd/mKW6LOL7ywC8tyIO174rPo8cWQFTMfyRv8fPnxyEKQevsxTShYd1mfMW2wqNHaEsrT1TZUQek51FxFCzBwWJz3uQ+ERA4rs7HrcLLn0t6hO2YsOkl/Dn37+OPnPO4GKOFDqNEkqlEgpJHRqyT2DPjD746yN/woujNiAgtR7NthtRlzfhI4W1Njcy5FasytRg4GU5ZiSocLnexKI97yfeJD7vQeITAYnvbrhg1UrRlHkRFzZOwPhXHsHPfvZb/ObV8Zi8cB227dyBnds3Yv3yuZg5diAG9B2E4bO3IyCmCrUaGx7GrHytZt5ia8K4aAWePyfBxBgFrjSYIDM572sERmch8XkPEp8ISHx3g09SoIGytgB58Rdw4fh+7As4gP1HTuHM+TBciriCq1fCEBp8EkcOHsGxc9FIKZNB9RCMx2dBzlPYsS5bg75hMmG1sxXX25hsrOyYel94NyHxeQ8SnwhIfD0brjS11YXoJjPmJavxaogUQ67IcaxcD5Xl4bcpk/i8B4lPBCS+ng3PXnkL7VdZfASGHIuvqYU1bq18GbRuAInPe5D4REDi65nwSI8XLr5mgwNxzWZcbTShUmsXZlTpLpD4vAeJTwQkvp4FX/SngEV4aTIr6vUO2Jj5eP0eb8nlffa6GyQ+70HiEwGJr2fAY7jyNjv2FekwJ1mFTTkaJhLrAx9b+6Ah8XkPEp8ISHzdH4nJiasNZiy+psLASzKMiW7FgWIdqrQOdrxIfMQNSHwiIPF1T3ggx1PXfJbWbs3TCov9vB8hExovwmpNwhhb00MYiSEWEp/3IPGJoCvE1/0vx+6Ny+1Bi8GJM5VGfJygxBAmvOnscS9Lc3l6y7uvOHvI/YnE5z1IfCIQIz6nx4lWswZVmmYY7Zb2Z7/BYDejydAKmakNdhed4J2FL/qT1GLG3BQVRlxtxarrbUKqy5d75A0ZDwqX2w25WY06nZRFl98+nnzom8ZmQDM7nkqLFo5OCovE5z1IfCIQIz6724EKTSNLtdKQJi2G1mZs38IXqzEgWVKIyMZMQYxWZ3efeL17wbug3Fyvlv+cLDFjR74WR8oMKFc7uqTF1s2Odam6HuF1aUxK5WizGtq3AHKTGmmSIsQ15aBG20Li6wGQ+EQgRnwuj4tFHXJ2oVzDodIIFpUUoI0JT2nVIbElH/5FoYIUW1nE53J3t5nouh+8YaLN5hJaa1OlFpSxRyeL6PjzUpNTWMeWL/HYlXUHdToZzlcn4kR5NK7JSoSIvsWgQFxzDk6y567WZ7B/K+HpZCMKic97kPhEILaOz+SwsqivCRdqkrGvOBSnKmNwsTYZB4ov4VRFDIsgGuBwkfTuBneIjgmvWG0TpoBfm6XBysw2RDaYYPZyXzx+PItUNcLxPFYWiZPsGHIJHi2/ijAWCZax42lxdH6hTBKf9yDxiaAzjRs2lx1V2maWigVjfPRXmJ/sh4Mll9lFUt/plMhX4P3u6nVOXKozCcKbEqfAhzGtWM3EJww1ewgttfx4lqjrsLfwIqbHb8GnSbsECZa1Mek57291YBKf9yDxiaAz4nOyNLZK2yKktpPjNn59oTTqZe17EN/FzoQnM7mY3KxC6yxvpR0SIQdf1nF3gQ45CpuwqPcDbLvoMLyuj0suoCgMMxO2Y16KH0tzY4S6vfutsiDxeQ8SnwjEiI9fk2anFVUs1Q2pSWKvvcLS3BTh5N7HJMgryRv0chZBODpdJ9Qb4UFcg94hrGT2eZoao6LkwmI/fGnHizUmdsN4eDKwsGivvK3x63q+kOpknKtKwLHySETUp6NWK2FRaucbqkh83oPEJwIx4nOwu381iwKCqxOE1DapJR86mxFaqwFX2EWypyAEoexE511aHD7enYVr/6b7eUfjNJkFG3M0mJmkxJfX1cJKZ1VaO0wPcA1bsfAuK7zK4nRlLDsPIlg0WgSVRQeJUYnopiwcYTe2sLpU1LNInnd96QwkPu9B4hOBGPHxLiqFyhoEVcYJ3Vlu7ftlddoQ2ZCBMxWxQtrE/+2rGBxuJn8HFGYnu9ABPfs3T2Uv1hgR1WgW1q/tDjOo8GOdo6jE6YoYZMnLhZvYTXjfvaTmfFyoTUaxqq7T/TJJfN6DxCcCMeLj2/Q2E2RGNYtUvt+B2egwQ2JSsqhB64MnuEeI3nhKG9tkZtGSHonNFijNfJSFB2YW9Rns7oey4M+duLE+h6H9eFrbn70B38ZFKDOpWURvZJ+BIr7uDolPBJ1p3LgXvLKcXzi+Al/LQm11IrHFguUZagyOkGN8dKsw5ExqZBd6L/gqqB9f94fEJ4KuEJ8vobS4hOFkXHh8yve3Q6WYFKdAQLEehSr7jREXvnMP+B4kPu9B4hMBiU88PHWVmZ2IY6ksn/L9Aya8F4MlTHwy7CrQCR2TvdwPudtC4vMeJD4RkPjEw6O4hBYzJrPI7o+nmzGYCW9/iR41WruQ9hLfQOLzHiQ+EZD4Ogav4nKz//G6LpPTjetyK/yLdQgs06OURXh6O31vt4PE5z1IfCIg8d0FJrtanRPnq43Yw1LY8Fq+MLdDiOr4KAs+MzJfA4O4MyQ+70HiEwGJ7/vw6C271YbDpQbMSVYLdXh8TO3JcgMTH124YiDxeQ8SnwhIfDcaXS0sfZUYnUiXWbG/WI+PE1ToFyZD/3AZ5qWo2AVsFJZx5Oku0XFIfN6DxCcCEh8ff+xBBhPellyNsCh3Xya88dEKrM/W4HK9CRUaOzRWNxzdYLRFT4PE5z1IfCIg8UGY9JP3u5uVpBSWbtyRr8OVBjPKNQ7oWNpLuus8JD7vQeITgS+JjwusXn9jhEWyxPJ1fR1fvIePoT1bbUQS29ZkcAqpLwnv/iHxeQ8Snwh6u/h4nRyfBy9XYcO5agNWZ2qEOrtdBVoW0d2YbolPJKCzuYWWWj6WlqrxHhwkPu9B4hNBbxMflxaf+UTDorhanV2I4HgaOz9VhRGRcgy7KhfmxLtQYxRSXKJrIfF5DxKfCHqb+PiaFVUskjtXZcCXGWpMS1BiQqwCHycqsSKzDYFlBpbqWoXJP/k08ETXQuLzHiQ+EfR08fFUlnco5u+aa0xtcSGx2YyVmWpMjG3Fp8kqbMnVIqTWhEKVDWqrW1jXgkaWeQcSn/cg8YmgJ4qP18PxBoh8pU1YeDu31So0UHAJam0uYTjZkXI9+2x6oRGjgUV32oe0noWvQ+LzHiQ+EfQE8dmZsXjjg9TEl2S0Cy2w+4r1WMZS2YVpahwp1QkTBHDx8UV9VEyCDQYH5GYXXGS7hwqJz3uQ+ETQncXHndXGJJavtAodifcV6bE8ow2zEpWYGq/ExwlKrLjehtA6IyRGWuCoO0Li8x73IT4PPG4WJTjssFmtsNrssDt5itR7L6juIj7+DbvYn741QjPa3bgmtWBbvkZolZ0Ue2MN2tlJSmzK1SC4xoQ8lu7yCI/aKbonJD7v0QnxueAwtUHZ0oCG2mpUVVWgvLwMZWWslFehqrYJLUqdsGZCt76+mKA9Tic8TNwdfaMPS3z8XsJbYBUWF+p0DhSxFDZPYUUdS1l5usrh287XGLEoTYXF19TYUaDFJRb5FaqsaDE5hckE+KSgRPeFxOc9RIrPBbu2HtWZEQg9eRgHDx5G4MkzCAo+h7OnjiIwwB9+ewMReCEJaRVyqG0uoQWxO+JxschHrYajoQHOVjncZrMgwrvhFfExN91ccIc3PrSa+YLkDqRILDhdZcCWPC0WpKnxOYvqzlTohT54HL4sI98vXWYRGjJ4gwZ1QelZkPi8hwjxeeBUFCMrZBe2LF+CpRv8sOdEKC7FJiE5LRWpiTGIungch7evxfKFS7F86ykEX2+E1No9Lz4uPltlBfTBZ6E5GAD9pTDYykrh0utZCn97od0qviImPr5Q0P3AIzkehPFy81vif1rOIjQuuiNlemHw//xUNSbHKVnqqhAW154Wr8CXGW24wiI6g/3+Vu8nug8kPu/RQfGxy9LShPKwr7B41AD0H7kE687nsovfjm8dGocarXkhOPXlBIwePAZjlp5EcIEK+u54bbKPZC0thWrrJjQOfgdNwwZBuXYldGdPw5yeCnsdE5vpm7VTOYFlN8S3IoOJT1XLfoU48XHBGR0eoQW1lkVnPDJLl1tRoLKhzXrjd/For5j9m0/m+VGcAu9HyISFebjweGPFoRI94pvNQsrL01+i90Di8x4dFJ8Z1vKT8J/+Cv767AAMXh6O6AoNvr9aLMNQjrLwNVg0/A08/9pHmLIzmV3gDiGicWvUsLMoSyhVlQ+vVFexxwqYUlOg2rIR9X1eQtWj/4Oapx5D/avPoWXCaKi2b4IxPoYJsAYedRtgdyCwJAL9w5ZgybUjyGytgcHhhIVJndef8S4kfIZh3p3kJrwPndzsRKXGIawidk1mxaV6szAF+/Z8LZakt+HTFCW252lQorYLESDPTvn+56qN2FesEx6zW61oNjqF2U94CkxrVfROSHzeo0Pi89gUqDk1C1Oe/ykefWkSZp2qRInyTtFGGxTFZ7B35gC8+rsX8dqE3ThRpoGebTFfOIem9/uj8b1+aBo68OEX9l7q+7yMmj/9DlWP/AxVv/6p8Fjzh0dR9+Jf0PDuW5B+PAk6/z1wZGbiYMpZvB68FpNiz+JoeY2wiE5CC5NZnQmhtUahA3CjwcHkdWO0Q7XWjv1MXjxFfeOiFM8Ht+DZcxK8HCLFwMsyjI1uFSYB4Cktn7adi48rjcuNt77y5RiFJRcJn4DE5z06JD6XrhoJq97FO7/6dzzx7gKsiZWihpns9nGHBZr6OAQtHYFBTzyGZwZ8hjVJEjSzY2jcvgFl/+8HKP27H6Dshw+/lP/471DxXz8Wor3qJ36N6sd/herHfomq3/wcVb/8L1T87F9R+Yv/RNPzT0E1cRR2rVmBp/xP4LHj1/BSSC36h0vx7mU5+oVJhYWxl6arEd9iEWTFJVbP0tET5XrMZ3Lj/eh4ayvvWnKwxIBgFsnFNJmRo7jREGFmKTDh25D4vEeHxGfXFCNsYR+88bOf4E/vf4FNyRKwIOcO4nNA15CGi2tGY/hTj+Cptz/BoogG1NjZ70mJQ+vCeZAvnIvWJQsebvnic7Qung/JR+NR98JfBNlV/+4X7PF/BOlV/vwnggjr33gR8tHD0LZoPvZs+QrP7j+M54KSMPxqHWYkKjGXSY33m1uW0YbDpXrkM5HxiI3D56nj89jx+jyp0QUntbISd4HE5z06JD6nvhKxK/qj3y//DU8MWIDVMS13ifjs0NYn4/zK0Rj6x8fwl3fmYVVcI5qEjI29gueAtzZnPqzCcBsMMFy5jMZB/VDx3//CIj+W5j75GybCp9HQ7w2W5k6G5uA+OPLyAZNZaNV9J2wxlqcHMsHVwu5yCR+JN0jwejf+2P6rCUI0JD7v0bE6PoscpQcnYdzTP8GvX5mMT09Xo1h5pw7KeqgqL+HIZ0PR/8nn8eq4LThcpIC2fWt3wiGTQnPsMBr69xEivvqXn2UR4Diod2+DKTkR9oZ6uNramNluNEsfqYjCu+GfY1XGIZSpa9kzZDniwUHi8x4dEh/cJuhz/LB+xJ/w+B8HYPCqaCSxkM/Wvvlb2JvRlOKHdRP74ZUXR2P8xlhcb7Wju/VocdtZSpp1HcpN6yCdNQ2K1V9CFxwEc2YGHM1N8Dgc7Xt+Q3cZskb0Tkh83qNj4uP91YwlSD80F5PefAWvDFmMDSEFKNd+N+IxwVAVhUtbZmDS0BEYNm8/jmTI0HZj1nIWOVlgNxugNbtYmtj+3EOCD1WzVVfBEHUVxthooYuL23LbDjpfQ+IjuhISn/fooPg4DpjqknBl1wLM+WgqZq0+gEOX03C9iI/RrUB5WQmKMmNw5fg2rF/0GT5b4Y9DcVVoMLm+SQgtrdBJqlAicUB/U4YctxUWgxZagwUWb7Vuejzw2O1CJ2UPFx6vr7sHJD6iKyHxeQ8R4mM4jdA15OL65WM4vGsbtmzdiZ3+h3Ao8AgCD++Hv98u7Ni1H/tPX0Vsfj0kzG5Opj2PywG71QxzSwFqcuJxJUeB2lYLbEw8Npse2pYylGanIik1BzkVUiiNDrQ3jHYrSHxEV0Li8x7ixMdh0ZlZ2YCawixkXruGtPTruJ6VjazMDKSnZyAjuwRljUphWnPBXR4b7AYZmqtKUBgfgshzh+EffA1RqSWol9WitCIPiZfCEB1xHqcPH8fpkERcr1dDzY55d3MfiY/oSkh83kO8+ATccDlssFlZasrSRIvFCqvwM5+Xj0Vrt/rAbYfDpIS8vhIVqeGIv3AMARdzkJBdC0VbPtJSQhGw4zQiY5ORGhuDpORsFDRr0OYg8RG+BYnPe3RSfCJgcnC7WEprMcLUzFPdBETmKlGrsMDlrEdRWhB2rdqBo6fCERmXiqzCatSqzTB2w2NO4iO6EhKf9+h68d2KRQGDvA5VcicMQm8RC5RVibgUsA1+fgdwKCgS8Tk1aNBaYaE6PsLHIPF5D++Kz2WFw2qCwerGzbH3Dr0EjflJSElMREJaPopr5VCZHfh+L7qHD4mP6EpIfN7Du+IT8Hy77o6nwkJ9IYvyrHbYHXxNiO/s000g8RFdCYnPezwE8fVcxIiPbzM5LFBbdLDf5gR2sOf0dhMrZrZvdxvXIh6+apuZ3cA0NiMsztuO6RGebzVrYHN1x3j+7vDjaWDHSms1wOH6/vG0Oe3Q20zsmFvh7OTxJPF5DxKfCMSIz+52oF4vQ4qkENW6ZkF0N7GzC6da24Ks1nLU6aSwsoump8On4Zeb2pCnqEKxqg5tTBC3omVCLFRW45q0CJrvbOsJON0u1LBjli4t/t4xM7IbXJWmmX32SjQZWoVj3xlIfN6DxCcCceLjMy83Ibg6Eeeq4lHe1ihcPHYW7fCfT1XEIKQmEQ1Mjvy5ng6P+Hg0l9xSgLOV8UhszofKohU+MxddQnMejpZdZdvzhcipp8HFXqZuwJnKOITXpqKCHVubyy5E9YXKGlxg0rpUl4ZanaTTETyJz3uQ+EQgRnx87hp+4aeyiO9gySWcLI8WIjweEZ1k0tuZH4zEljxYWHrYW+DpXiWLfIKrEoTPHNWYiUJVDeKacrGnIATHyiPRYlB8t5a3x6BgYo9uysIRdh5cqElCuqyYRfQFCGI3tmNlUYL0vxvpioHE5z1IfCIQ27jBowQdS/G48LbkBuGz1L3YkH0SW3PPIpldMEb73SdF6InwlL5OL8VZJoOV1wOxLvsEVmYeYd/dFTQYZPf8zroz/L1rbAaksnSdi3zJtf1Ynn4I+4svMQmWMOnp2THvvNRJfN6DxCcCseK7Sau5DQdKLmPIlWUYG7WWRUSJLP3jq5D0TqwsBbzGoqHlGYcx7MqXWHQtANfZhewWuSpdd6XFqGSyC8OYyDWYEreZRXxxkJnU7Vs7D4nPe5D4RNAZ8WlZhMBTWv+iUGzNC8L2/HPYXRginNhWV+9Jc2/CW2x5w83F2hTsYOn8Vhbpbs8/i/PVyWjQy9kePTPNvQmP+OKac3CgOBzb885hGyuHSyOEiI+30N8PJD7vQeITgRjx8Ur9FqMCV+ozBNHxeqB6lgLyVr99LFrYnHsG8c25UFl0cN1hAfOeBK+309lNyFdU41RFLBPDJcQ35ULCoiOe1u/MP4/jZVFCiy9vFOiJ8M8SVpeCPex4htWlCq28Jep6ocEjgB3T6MYsyFl0zxt6OgOJz3uQ+EQgRnxmp01I7/wKLggnNG/xvInWasShkgjsYjIoVtfdsd9bT4LXZ/IW6tDaVKE+j0dAN7vw8McMWalQL3a6MhZKyzffRU+Biz1VUiQ0SkU2ZgqCu0kj+9znqxOFBp1seblw0+sMJD7vQeITgdiIj8uuvK1BiOq+i4pd/OXqBnbRyHtsBHQrPMrhaWC9TiZEurye71Z4Csz7NfKuH7zjdk+Di11mVgut1vxz3toy7WLHWm5So0rTBKlRJfTT7AwkPu9B4hOB2Do+fnHcNe1h23hHWH5R9Qb493Gvz8I/r7MHfl7hWLL/7gY/1rwPHx9y2RlIfN6DxCeCzjRuEERHIfF5DxKfCEh8RFdC4vMeJD4RkPiIroTE5z1IfCIg8RFdCYnPe5D4REDiI7oSEp/3IPGJgMRHdCUkPu9B4hMBiY/oSkh83oPEJwISH9GVkPi8B4lPBLeKr4iJr7d0PCa6ByQ+70HiEwEX37thi7Eq4yhK1Q3tzxLEgyG8Ng1DLi8j8XkBEp8IuPjevDAfnybtQkJLPpQWrTDtFJ91lwqVzhY+9pePXz5eHoUB4YswL8VPmOCCxNd1kPhEcKIiBi8Ef4I3LszFisxAYQp5vqYGn3KKCpXOlnPVCcKsNnOT9+Dl87OxINUf2YoKEl8XQuITQURDBgZeWoKnTn8k3Jknxq7H1PjNmBy3iQqVThc+i/O0+C3oG7oAfdhNdWPOaZRrGqkOuQsh8YmA1+vtyD+PWYk7MSNhG2axlPfTZCpUHkzh8vsi/QCushus0qptP+uIroDEJwKz04pmowJlbQ0oUNYgT1GNPGUVFSoPrPD5/tRWXacXJSc6BomPIAifg8RHEITPQeLrdbjhshmhU2ugNZhhc91r3uCuweNywmF3wOG+x99322E16qHXGWG0OsDeLkF0OSQ+EbjdbjidLvbYXa9OD5xmOVoK4xERfBlX00rRYLDBOyt6sO/E7YTLYYFJq4S0thbVlQ2Qmu7099n+TiP08hpU5KQjLTUL2aUNaGkzw+J8OLJ+2PDzy+VyCaWzK7URHYPEJwKlUonKyipIpTJYrdb2Z7sPLia9mqRA7P1sFAYPnIZ5uyKQrmCRVPv2LsXDhKesQmlSME5sXo6FM5dgyaZgRLfobv/3nRLUpAXjyG4/HDxxDsHBR3Bo334EnIhBUpkCamZLX7v01Wo1O78q0dzcDLPF0v4s0RWQ+ESQnJyMLVu2ICTkgnBy8jv07XC53HA4HO3/8h4ucyvqEg5gx/jn8PST/fHBl+cQJzXA0L69S+HiU9WgJOowdk1/F2/9+WW8NHYbjlSqoW/f5RvMUGQchv/CqZi8YB8Co3JRWJSMK/tX44u5i7E84CpiK9tg6GV5781o7k5kZmZh69ZtOH36NOrq6++6L3F/kPhEcOzYcbz//mCsWrUKRUVF30pH7HY7iwSlKCgsQm5uHiTs54eCsRYFez7E8LeHY8ya84j3lvgEPLDLS5F9eAnmDx2EflN24dh3xedxsveYgdClwzBy4AR8FsSiRPWN79FYyKLF5RMxYfoKrA3KQjEL+3rLpc/PFX5+REVFIzcvDzr9928HYWHhGDZsOBYuWoSsrKyHcvP0FUh8Ijh27BgGDXofq1evRmlp6dd1MgqFEjExMVi6bDlGjxmHFStWIr+goP1VXY0HbocNNpYaWSw2WGTFuL6Lia/fSIy9m/g87L077bBZ2evMZpjvVdjvtjt43VP76++AR12FktOrsXT0cAyYupuJT/Vt8Tn0MF/bjOUDX8SL7y3Btgwlmm+upy5PRfLOjzH5g/GYuDoIIWW69td64HE5YLdZYRU+J3u0O29pCGHfgdsFJxMFb1BxCseF7W/l753tb+PPte/pZvuwz8yfN1vtcHix8ef69et49bXX0bdffxw4eBDlFRUwmkxf30AvXbqEYcO/ER//PETXQOITwYkTJzB06AdYt24dSoqL0djYiLDwS1i0eAn6938Hv3vscTz+xB8wc+Ys5OTmtr+qK7HCpixHTsQ5nDl+BIEnTuPIrnVYN+1tvPQSj/hCkHBb8bngtsjQUpqE6KCjOOznD/+A/Qi4Xdm3D/v27YdfYDiSsmqZAO9+MXrUlSg7w8Q3dgQT357vic9jlqHq8ESM/vOf8NzorThWrUPrTfMYCpF3bD5mDhmI92fswu54GeRWttHQjLq8RERdOCt8zkP7D+LgqauIKVJAy43m0kJRnYH4cydwMjAYkQXF7PtPxJVju7B9/UZs2ReMsOs1qJVL0VSaiOiTu9nzG7B+9ymcSa5CndY7Y2LT0tLwy1/9Gv/37/8BTz/zLLtJjsWOHTuRk5MrRHcREZcxatRoLF6yBNnZ2SS+LoTEJ4KTJ09hEEt1p06dhjVr1mAxE97A9wbh1488in/68T/jH3/4I/z3T3+G119/AwsWfI5du3dj9+49wuP9lp07mQjY7zp77hwkkhb2buxoq05D7KGt2Lj1APadvYLouCsIDliJRR/8DU89NQijV5+/s/hsKijq8nA9JgLhwecRcuEiLty2XBAegy+nIK9UAqvt7pK4l/ic+hqkrB2Afr95Ei9PCUBIsx7q9m2wVqA4eDHmftAX/catwbrgfBSVlqAwOhinjx7HsZDLCAs9i6AtCzBnwjiM/nw/TuSooWhTQJa8HztmDMXAvuMwY/NBBAQH4+T+DVg9bwLGjRiLifM3YMPBIJw5ewpH96xjz0/D5LET8OECPxxKrkNre0RoZdHt5csR2LRpM3btuv2x6EzZzcrcefPw05/9D37wf/4O/4/J71/+9d/w9F+ewUeTp2DvXn98tmAB3u7bD0u++ILJMIfE14WQ+ERw6tRpvDdoMCvvs5TlNfz60Ufxo3/6Mf7+H/5RkB7/mQvwZvnRP7U/PoDyD//4Q/z4n/8Fb7z5FtJS4gFjOZIDV2HOh7Ow5GQGspX8IjFDXXEFx2a9jVefeQ9jVgffQXwsvfM42YVlhcVkhEGvh8HA9rtL0RvNTHqODqS6dxefTVuGyMVv4PVf/wmvfxKICIkBX49KtVWi9MIXmD+sL94c8QW+2H0OIcf3wY9F2OsCriKlQQutXgVV5ikELpuCsVNXY3OsHA1tLKXN2g//Ka/gz0/2xdAlATgQX4DCqgKkh23H6on9WHo5DMPn7kRAaDqyc6/jerg/9szjrd+T8LFfPDLbm57blAohEvvBD36AH/7ox7c9Fp0p//Rjfm7cOD/4efLDH/0T/p4d05sCfOWVV/Hqq6/h+b+9IIgvl2UMJL6ug8QnAh7xDWGp7sRJkzB5yhT0698fv/ntY/jXf/t3QXxcgPzE/s//+qkQBT7+xO/byxP3XX7z29/hid//ASNHj8L1lKvQ5ZzEzlnD8fbYDTiYKflaLm5lEVI2sQu6zzCMXRN8hzo+Xmdmgkkrh6S2GpVlZaioqLh9KS9HeXkFyqoaIVPqwVus78a9xGfXVCDqiz54/ZGn8MbMo7gqM0DXvo1HfCUs4ps/nIlv+OeY9cUmbFgyD/M//wobggvRbOJ/2w2XrgHVWQmIjkxDTosVBv50A4tOP38Hf3tmGKYFxCO+xQyL2wFVeSROLR2JoUMnYPLac4gpVcNq1UFfFYmr2z/B+IEjMXZ1KKLlwjuATqPCzNmz8Ytf/AKPPX77YyG+3DgPfv3II/jnf/lX4TzhwvsRk99//fdPWXT+ND7+eAY+/HAC3ujzJkV8XoDEJ4KbdXw8xT3HUimeAq5bt0FIfx/9zW+Fk/p/fv6/eGfAu1i/YSPOh4TgwsULCD5//r4L/3v89yUkxEFam4mioC8x+10WIUzYh4tVX6sD0FQi128CRty1cYOlunYF5NVZSIu4iPOnTuFMUBCCblfOnMaZM0E4GcKioqLm+051Xfp6pG8YhAGP/RmvTjuA0BY92tq3wVCMghPzMXt4f/QdtwSfLFyFz6dNwMSPV2D9xQoob/aE9jhgM+uhbdPCYPXcaPmVMZEtG4xX/zYOn57MQlZ7GGlpSkPoVx9i9Kip+GRrBK438f6XDrgkyUjaPw9T3h+B0cvP43IzVyp7fw4brqWn4/SZM7c9Dp0p58+z84CdK6vXrBHOj//DUt1//8l/CGnutGnTceDgIaEri5/fXgwePITq+LwAiU8EXHxDhgzF6tVrUFBQAI1Gg6rqaly8GIoVK1fhg2HD8OZbb2P2p3OQmJQEm80Gm93GZPFgCv99DrsFVia39ANzMOnlp/H08O04U6H9ptsH25a/dyJG9h/FxBdyB/G5mTtY2iitQllWOtLYe01KThb6KX6/JAmPiWmFqGxQwea4eweTezZuWFrRcOpjTHzuWbwwZivbroXiZhCpykbGvlmY9sEHGDJnE5Zu2oQvpo7A8OGf4PPADFQYbs2zLSxNV6KpWQcT7+urikbk8iF47W/jMedUNrLb7wXW5nSEr5uIMWOmY+b2K8hs4k3ITHyyFKQcnI+pg0diDBPfpSZ+O+B4hIYGi9V622PQmSKcBzY7omNj8OQf/4Q/PvlHzPjkE+z192ffbQrk8lahd0BoaBiGjxiBRYsXk/i6GBKfCI4eOYqB772HVatudGfhFwnviqDXG4S0MCw8HHv8/HDi5AlBiF2Fy9yC4rPLMf+tJ/H4i1OxMLgYdTejIV0prm8dgyGvDcGoFWcR3WL4lni+xu2Ek0nUbODjZHXQ3anoWVrIik5vErqFuO9VyaetQeW5tVg+biTenb4XJ2o0MLVvEnAZYckPwPoRr+ON9xZgQ5IcgosYnvpoRKz7CBPGzsTMbedx6uJJHFg6BsPe6o/3Zu/B4ZQaNKgNMOoUaK3ORFZqPCKzZGjlf0ATh+gVH+D1F8Zj7plc5Lbb3i65jsvrJ2Hs2I8xa2ckslq4TJzwyNOQdngBpg8ZjbFfXkREy42Iryvh3VcWLlqMTZs3swgvEwqF4lsjgMLZ+cMzis8XLqTuLF0MiU8EPLKbOWsW/PftQ1VV1bdGbvCftVqt0MWlgRUuja7CY9dCmX0GRxcMRJ+/vYm3pm7B7ohcFNc0oionAucWvoO3numDAXP24UyhDDKr65uIsMtwszTRClNDJtL85+GTd/vipRFrsCO9Fi3873/9VbFU2ZCP+B0z8PHoKZizj0VeVSqo1TLUxByE/+IZmLXMHwFRZSivzEbm2VVYOLof+vQdiVHzN2Pb0WBcuBiMoMADOHzkPMIK1VBa7HBUn8WpWW/g6ScH4sPdMYhrYVK3W6EsuYLjC4di4ACW+n95GlElKpjNGugqLuPS5o8w4o3+GDDrEE4Um2HoYs/wc6K4pAQNDQ1Ch/fvEhsXi09ZtrBt+3bhxkojN7oOEp8IStjJyO/K/G7Nx1Xeachal+N2wNlWhdIof2ydOx4jho3HuFkrsNb/FAIP7cPeBSMwbOAHGD6fRUmJFahuYynXPQK1+8bjgFXPorfMywhZNx0fDXgbrw9biJXn05Att8D0LakYoco/j9ObluGL1QdxNDwBiUnsdQe2YfPG3QgIzUROM4sMLRpoquJxZf9yfP7RCAxlaenICTMw8/MVWLU1ECev5qFUydJIsxqq5L3Y+dHr+NtzAzF69Smcy29Bk1KKsvjj2DP7Awx6ZzhGfbYPpxLLWXpcheprJ3B0xTgMfbsf3pm+DX4JTWjSdfWXdHf4zZRnDby/Hx8XThMVdB0kPhGYTCZBeLx7h9PpnU6vd8Rjh0VVjfLEYJzy34YNG7djx4FzCAoJR8TZgzh48CAOBEUjIb8BLTomh652NG9wMCggKbmGpOADCNi6CZt2H0dQYh6KZSYYvxtNWVpQlxWFsDNnERIegYgrobgYEoaw2BwUNrZBJ+zvgceqhqIyHSmhh3Fg+yasX7cZm/2O4zQf3ysxwcqHb1gUkOddRui+9fjqKyaxs/FIrpCiRSFFTU4sLh/ZjR1b98Dv+FXE59WgSVKP+qIExAT5Y+fmLdhyMAwRuS2QGtxdnu7eDZPZDKVKBb1e//DPr14Oia9Hw1JIiw5aFtm0NLGIpaUVrUo1NG0qqNQqKNt00JussDnZBd3lwYMHbj4EzqSHTqVAq4yl2K1KqLQGmGzsfX7v73vgsurRJq1DXUU5ysqrUNMoh1JnEeYQ/BZOK6wGFtXJJWhpbkazVAGV3gLrTUu5mdiNbVC3SoWZc1pVWujMLMq122AxaNGmbIVcJmffjQZaI3udjTeMsO9NxZ9n71PRBo2RfU9eHL5GPFxIfMRDx80EZbM5vVAPSRA3IPERBOFzkPgIgvA5SHwEQfgcJD6CIHwOEh9BED4HiY8gCJ+DxEcQhM9B4iMIwucg8REE4XOQ+AiC8DlIfARB+BwkPoIgfA4SH0EQPgeJjyAIn4PERxCEz0HiIwjC5yDxEQThc5D4CILwOUh8BEH4HCQ+giB8DhIfQRA+B4mPIAifg8RHEITPQeIjCMLnIPERBOFzkPgIgvA5SHwEQfgcJD6CIHwOEh9BED4HiY8gCJ+DxEcQhM9B4iMIwucg8REE4XOQ+AiC8DlIfARB+BwkPoIgfA4SH0EQPgeJjyAIn4PERxCEz0HiIwjC5yDxEQThc5D4CILwOUh8BEH4HCQ+giB8DhIfQRA+B4mPIAifg8RHEITPQeIjCMLnIPERBOFzkPgIgvA5SHwEQfgcJD6CIHwOEh9BED4HiY8gCJ+DxEcQhM9B4iMIwucg8REE4XOQ+AiC8DlIfARB+BwkPoIgfA4SH0EQPgbw/wHns87U/01OagAAAABJRU5ErkJggg==)
A proton accelerated by a pd V=500 KV moves through a transverse magnetic field B=0.51 T as shown in figure Then the angle q through which the proton deviates from the initial direction of its motion is (approximately)
![](data:image/png;base64,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)
physics-General
physics-
A particle of mass m and charge q, moving with velocity V enters Region II normal to the boundary as shown in fig Region II has a uniform magnetic field B perpendicular to the plane of the paper The length of the Region II is Then
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448370/1/928696/Picture2.png)
A particle of mass m and charge q, moving with velocity V enters Region II normal to the boundary as shown in fig Region II has a uniform magnetic field B perpendicular to the plane of the paper The length of the Region II is Then
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448370/1/928696/Picture2.png)
physics-General
physics-
A small sphere is hung by a string fixed to a wall. The sphere is pushed away from the wall by a stick. The force acting on the sphere are shown in figure. Which of the following statements is wrong?
![](data:image/png;base64,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)
A small sphere is hung by a string fixed to a wall. The sphere is pushed away from the wall by a stick. The force acting on the sphere are shown in figure. Which of the following statements is wrong?
![](data:image/png;base64,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)
physics-General
Maths-
Maths-General
maths-
Let f : (0, ¥) → R and F(x) = t f (t) dt. If F (x2) = x4 + x5, then f(r2), is equal to
Let f : (0, ¥) → R and F(x) = t f (t) dt. If F (x2) = x4 + x5, then f(r2), is equal to
maths-General
Maths-
Maths-General
chemistry-
The enzyme pepsin hydrolyses:
The enzyme pepsin hydrolyses:
chemistry-General
physics-
The magnetic induction at the point O, if the wire carrying current I is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448345/1/928645/Picture1.png)
The magnetic induction at the point O, if the wire carrying current I is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448345/1/928645/Picture1.png)
physics-General
Maths-
Let f : R →R and g : R →R be continuous functions, then the value of
(f(x) + f(-x)) (g(x) – g(-x)) dx, is equal to
Let f : R →R and g : R →R be continuous functions, then the value of
(f(x) + f(-x)) (g(x) – g(-x)) dx, is equal to
Maths-General
chemistry-
Ethyl alcohol is also known as:
Ethyl alcohol is also known as:
chemistry-General
physics-
A wire is bent in the form of a circular arc with a straight portion AB If the current in the wire is i, then the magnetic induction at O is
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)
A wire is bent in the form of a circular arc with a straight portion AB If the current in the wire is i, then the magnetic induction at O is
![](data:image/png;base64,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)
physics-General
physics-
The magnetic induction at O due to a current in conductor shaped as shown in fig is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448311/1/928527/Picture36.png)
The magnetic induction at O due to a current in conductor shaped as shown in fig is
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448311/1/928527/Picture36.png)
physics-General
physics-
The figure shows a unifrom conducting structure which carries current i with each small square has side a The structure is kept in a uniform magnetic field B Then the magnetic force on the structure will be
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448307/1/928525/Picture35.png)
The figure shows a unifrom conducting structure which carries current i with each small square has side a The structure is kept in a uniform magnetic field B Then the magnetic force on the structure will be
![](https://mycourses.turito.com/pluginfile.php/1/question/questiontext/448307/1/928525/Picture35.png)
physics-General