Maths-
General
Easy
Question
Statement- (1) : The tangents drawn to the parabola y2 = 4ax at the ends of any focal chord intersect on the directrix.
Statement- (2) : The point of intersection of the tangents at drawn at P(t1) and Q(t2) are the parabola y2 = 4ax is {at1t2, a(t1 + t2)}
- Both S1 & S2 are correct & S2 is correct explanation of S1
- Both S1 & S2 are correct but S2 is not correct explanation of S1
- S1 is correct S2 is wrong
- S1 is wrong S2 is correct
The correct answer is: Both S1 & S2 are correct but S2 is not correct explanation of S1
Related Questions to study
Maths-
Statement- (1) : PQ is a focal chord of a parabola. Then the tangent at P to the parabola is parallel to the normal at Q.
Statement- (2) : If P(t1) and Q(t2) are the ends of a focal chord of the parabola y2 = 4ax, then t1t2 = –1.
slopes at the two extremeties of a focal chord are : (t,-1/t)
this property is used to explain the behaviour of tangents and normals at the respective points.
Statement- (1) : PQ is a focal chord of a parabola. Then the tangent at P to the parabola is parallel to the normal at Q.
Statement- (2) : If P(t1) and Q(t2) are the ends of a focal chord of the parabola y2 = 4ax, then t1t2 = –1.
Maths-General
slopes at the two extremeties of a focal chord are : (t,-1/t)
this property is used to explain the behaviour of tangents and normals at the respective points.
maths-
Statement- (1) : Let (
) and (
) are the ends of a focal chord of
= 4x then ![4 x subscript 1 end subscript x subscript 2 end subscript plus y subscript 1 end subscript y subscript 2 end subscript equals 0](data:image/png;base64,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)
Statement- (2) : PSQ is the focal of a parabola with focus S and latus rectum
then SP + SQ = 2
.
Statement- (1) : Let (
) and (
) are the ends of a focal chord of
= 4x then ![4 x subscript 1 end subscript x subscript 2 end subscript plus y subscript 1 end subscript y subscript 2 end subscript equals 0](data:image/png;base64,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)
Statement- (2) : PSQ is the focal of a parabola with focus S and latus rectum
then SP + SQ = 2
.
maths-General
maths-
Statement- (1) : If 4 & 3 are length of two focal segments of focal chord of parabola y2 = 4ax than latus rectum of parabola will be 48/7 units
Statement- (2) : If
1 &
2 are length of focal segments of focal chord than its latus rectum is
.
Statement- (1) : If 4 & 3 are length of two focal segments of focal chord of parabola y2 = 4ax than latus rectum of parabola will be 48/7 units
Statement- (2) : If
1 &
2 are length of focal segments of focal chord than its latus rectum is
.
maths-General
physics-
The current i in an inductance coil varies with time, t according to the graph shown in fig. Which one of the following plots shows the variation of voltage in the coil with time
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMwAAACJCAYAAABgt9ctAAAH+UlEQVR4nO3dPW8TSQDG8WctCgrutF/gJOOkocKRYiOhEBkKjEQKUpyECz6AXaWiDTWN3VGmtCUKmpyEKXCURBSk8BcItsVRYFPEdxckCsRcwdnnJHa8s97ZednnJ0UKyWY9mfFfu5MY8IQQAkQUSEr3AIhswmCIJDAYIgkMhkiC0mB6vZ7K0xPFTlkww+EQd+/eVXV6Ii2UBVOr1dDr9fDs2TNVD0EUO0/F72GGwyGuX7+O4XAI3/dxcnIS9UMQaSF1hVleXkalUpl7XK1WG78/HA55lSFnRH6FGQ6HWFlZQbVaxebmJlqtFjY3N3mVIScEDubw8BB37tzBvMNrtRrS6TQePXoEz/MghMDe3h729vZ4pSHrXQl64Lt371AsFucel81mUSgUznysUCjA93350REZJvAeptfrIZPJzD3ufCwj2Ww2+KiIDBU4mDdv3mB9fV3lWIiMF3gP43kePnz4EOgqM/k1/NsD5JJAV5jDw0MAkIqFyEWBggm64SdynZLf9I9PzlsycszcK8zpkyf469Yt/PjyBT++fMFft27h9MmTOMZGZJy5V5jv7Tb+fvgQqd9+AwD8+PNP/PrHH7iysjL/5LzCkGMC3ZJ9b7fxz++/AwB+efkyUCwAgyH3cA9DJIF/RZlIAoMhksBgiCQwGCIJDIZIAoMhksBgiCQwGCIJDIZIAoMhksBgiCQwGCIJDIZIAoMhksBgNBsMBsjn88jn8xgMBrqHQ3MwGI0GgwE2NjZwdHSEo6MjbGxsMBrDMRhNJmO5efMmADAaCzAYDSZjWV1dRbPZBADkcjlGYzqhkOLTW6nf74tcLicAiNXVVfH582chxM+5mvxcLpcT/X5f82jpPAYTo1mxCCFEq9W6cAyjMQ+Dicn5WC4LgdGYi8HEQCaWaV/DaMzBYBQLGovv+5d+LaMxA4NRSObKMmuuGI1ZGIwisrdhl80VozEHg1EgzJ6lUCgEPiej0YfBRCxMLGHOzWj0YDARUhnLtMdgNPFjMBFZNJZqtRrqsRhNvBhMBKK4ssjOFaPRg8EsKKrbsDBzxWjix2AWEOWeJexcMZp4MZiQot7gj158uehYGI1aDCaEOH4atsiYGI06DEaSibGMMBr1GIwElbFMe/FlGIxGLQYTkOorS5RzxWjUYTABxHEbFvVcMRo1GMwcce1Zstls5OdkNNFjMJcweYMfFKOJFoOZwYVYRhhNdBjMFDpikXnxZRiMJhoM5hxdV5Y45orRLI7BTNB5GxbXXDGaxTCY/+jes8Q5V4wmPAYj9McihBCvXr2K9fEYTTiJD8aEWHRhNPISHUySYxlhNHISG4xpsaTTaW2PzWiCS2QwpsUihP65YjTBJC4YE2MRwoy5YjTzJSoYU2MRQs2LL8NgNJdLTDAmx2IaRjNbIoJhLPIYzXTOB2NLLDs7O7qHcAGjucjpYGxacN1zNYtNcxgHZ4OxbaFNDUYI++ZSJSeDsXGBTQ5GCDvnVAXngrF1YeN+8WUYts5tlJwKhguqXtLn2Jlgkr6QcUryXDsRjAsLqPPFl2G4MOdhWB+MKwtn+qZ/GlfmXobVwbi0YDYGI4RbaxCEtcG4tlC23ZJNcm0tLmNlMElaIFskZU2sCyYpC2OjJKyNVcG4vCAmvvgyDJfXSAiLgnF+ISzd9E/j8lpZEYzLCzDiUjBCuLtmxgfj6sSf51owQri5dkYH4+KEz+LKHuY819bQ2GBcm+gkc2ktjQzGpQmmn1xZU+OCcWViZdn8m/6gXFhbo4JxYULDcnHTP43ta2xMMLZP5KKSEowQdq+1EcHYPIFRScIt2SRb11x7MLZOHC3OxrXXGoyNE0bRsu05oC0Y2yZKNRv+1RhVbHouaAnGpgmKS5I2/dPY8pyIPRhbJiZuSQ9GCDueG7EGY8OE6MJgfjL9ORJbMKZPhG6uvvgyDJOfK7EEY/IEkJlMfc4oD8bUb5zMZ+JzR3kwpn3DpjLl/7g0TVTRtFotsbW1tfB4lAXT7/cFAMYSEDf9s0UZDYCFwlG2Sru7u4xFAoO53GQ0u7u7oc8ziiZsOJ4QQkCRa9eu4evXr6pOT7Qw3/fRbreRTqcDHZ+a/EOj0YDneWfeKpVK6MGcnp5C/LyK8Y1vRry12234vg/f97G9vY1utxs4FgD/3wcsLS0JAKJYLI4+JOr1+vjydXBwIIhs1m63RTqdFtvb2+Lk5CTUOSCEEOVyeRzGeZd9jsgW3W5XVKvV0KGMpDqdDl68eAEAKJfLF65A6+vr4/efP38e+vaMSKd0Oo2trS34vr/QeVLv378/c9Lz8vn8+P23b98u9GBEpqpUKoH266mPHz8GPunx8fEiYyIyVqfTOXM3NUtq7hETlpeXQw+IyESdTgee56HZbKJUKsHzPHQ6nZnHp27fvj3+Q6/Xu3DA5C3bvXv3oh0tkWaZTAYHBwcAMP7RcyaTmXl8am1tDcViEQDGm/9J+/v74/efPn0a8XCJ9Pv06ROWlpYCHZsCgNevX4+/4MGDB+NPNhqNcUSjColcs7+/j/v37wc6dryHOT4+Rr1eR7PZHP+Wv1QqoVwuQwiBtbU1ZQOm5Jh2269b0A0/ACh9LRnRpG/fvuHGjRvodru6h3KG53mo1+t4/Pjx3GOlfkpGtIirV69iZ2cHjUZD91DOKJfLKJVKgX4KzCsMkQReYYgkMBgiCQyGSAKDIZLAYIgkMBgiCQyGSAKDIZLAYIgk/AsbkSHSwlVpegAAAABJRU5ErkJggg==)
The current i in an inductance coil varies with time, t according to the graph shown in fig. Which one of the following plots shows the variation of voltage in the coil with time
![](data:image/png;base64,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)
physics-General
physics-
Figure (i) shows a conducting loop being pulled out of a magnetic field with a speed v. Which of the four plots shown in figure (ii) may represent the power delivered by the pulling agent as a function of the speed v
![](data:image/png;base64,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)
Figure (i) shows a conducting loop being pulled out of a magnetic field with a speed v. Which of the four plots shown in figure (ii) may represent the power delivered by the pulling agent as a function of the speed v
![](data:image/png;base64,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)
physics-General
physics-
The graph gives the magnitude B(t) of a uniform magnetic field that exists throughout a conducting loop, perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude of the emf induced in the loop, greatest first
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQUAAACBCAYAAADJwK/rAAAOkklEQVR4nO3df0zU9R8H8OeZMSN1lyVLNAUu55ozWS5qCAb94FhjjCyTGxWWlYE5dC5xzRVzVEIQ+J2TzBwyZ2BarHImZEF4Y4wxpRo1Jp8TE2EsHZTOOcd8ff+oe4+PQnHc5/N5f953r8d2m/y4z+fp+948P5+7+3w+5yAiAmOM/WOK7ACMMXvhUmCM6XApMMZ0uBQYYzpcCowxHS4FxpgOlwJjTMeQUujt7TViMYwxGwi6FIaHh5GammpEFsaYDQRdCpWVlejt7UVRUZEReRhjkjmCOcx5eHgYsbGxGB4ehtPpxNDQkJHZGGMS6PYU8vPz4XA4dDefzzfunSsrK8W/h4eHeW+BsRCgK4XGxkbU1taCiEBEcLvdKCsrG/OOw8PDqKmpQXV1NQCgqakJO3fuND8xY8xUulLQNA0JCQni67i4uHHvuH//flRUVCArKwsAkJKSgvr6et5bYExxU/3/8Hq9cLlcogi8Xi+qqqqgadqYd4yPj0dKSorueykpKXA6nSbGZYyZTZRCa2srNE2Dw+EQP6ytrR13b+HmQvCLj483OCJjzEri6UNvby9KSkrE6wmapsHj8cDr9crMxxizmCiFxsZGzJ8/X/zAv4fQ19dnfSrGmDRTAMDn893yImN+fj5cLheys7OlhWOMWW8qAPT39wMAXC6X+IHL5UJPT4+cVIwxaYI6olEsxOEAX/+VsdDAp04zxnS4FBhjOlwKjDEdLgXGmA6XAmNMh0uBMabDpcAY0+FSYIzpcCkwxnS4FBhjOlwKjDEdLgXGmA6XAmNMh0vBZNXV1bj99ttvuXS+3W9z5szBZ599Jnv4mAR86rSJvF4vkpOTZccIygsvvIDy8nJERUXJjsIswqVgksHBQSQmJooP01FtfBwOByIiInD9+nXcc889KC8vx0svvSQ7FrMAP30wSW5uLnw+H9LS0mRHmbSuri5kZmbi4sWLyM3NhcfjEVfpYiGMDGDQYkLGm2++SQAoNjaWBgYGlByf0ZmrqqooMjKSAJDT6aR9+/ZJTMbMxqVgsJ07dxIAAkAtLS1ERNTU1CQ5VeBuznz27FlauXKl+L8999xzdO7cOUnpmJm4FAx07Ngx8UcTqlvTvXv30syZMwkATZ8+nfbs2SM7EjMYl4JBzpw5Q7NnzyYAtHXrVtlxTHX+/HlavXq1KMCsrCzSNE12LGYQLgWDJCYmEgB69tlnb/mZ0+mUkCg4E8lcXV1Ns2bNIgA0bdo02rVrlwXJmNm4FAyQm5tLAOjBBx+kK1eu3PJzFcdnopkHBgYoJydH7DVkZGRQd3e3yemYmbgUglRcXEwA6I477qDTp0+P+Tsqjk+gmQ8cOEBRUVEEgG677TaqrKw0KRkzG5dCEA4dOiS2kJ9//vm4v5eSkmJhKmNMJvPFixfFXhMASk9Pp66uLhPSMTNxKUzSqVOnaNq0aQSA3nvvPdlxbKW2tpbmzp0ryqGsrEx2JBYALoVJuHz5Mi1ZsoQA0Jo1a2THsaXh4WFau3atKIYnn3ySOjs7ZcdiE8ClMAn+g3iWL18+od+vqKgwOZHxjMp8+PBhWrBggSiHHTt2GLJcZh4uhQAVFhYSAIqKiqKenp4J3UfF8TEy85UrV2jdunWiGFJSUqijo8Ow5TNjcSkE4NNPPxUT+9tvv53w/VQcHzMy19fXk8vlEmNYXFxs+DpY8LgUJujHH38Uk/l///tfQPdVcXzMynzt2jVav369GMvly5dTW1ubKetik8OlMAH9/f0UExNDAGjDhg0B3z8UTogy2tGjR2nRokWiHIqKikxdH5s4LoUJeOqpp8T77sw4IyMjVFBQIIrhkUceIa/XKztW2ONS+A/5+fkEgFwuFw0ODsqOE5KOHz9OixcvFuWwbds22ZHCGpfCv6ioqBATNZgtWKieEGW0zZs3i/FetmwZNTc3W56BcSmM6+jRo2KCVldXB7UsFcdHVuYTJ07Q0qVLxdiH+mnodsSlMIbu7m66++67CQC9/fbbQS9PxfGRnXnr1q2iGJYuXUonTpyQmieccCnc5MaNG/Too48SAFq1apUhy4yPjzdkOVayQ+bm5mZatmyZKIfNmzfLjhQWuBRu8uKLLxIAio+Pp6tXr8qOw4ho27ZtohgWL15Mx48flx0ppHEpjLJ9+3YCQHfeeSf99NNPsuOwUbxer9iDA0AFBQU0MjIiO1ZI4lL4R21trZhwR44cMXTZ4XxClNGKiorE47Ro0SL65ptvZEcKOVwKRNTR0UEREREEgD744APDl6/i+Ng5c1tbGyUlJYlyWL9+PV27dk12rJAR9qXw559/igNnXnnlFVPWoeL4qJDZfyk8/8Fl9fX1siOFhLAvhaysLAJAycnJpq1DxfFRJXNHRwelpKSIcli3bh1dvnxZdiylhXUpvPXWWwSA7r33XvL5fKatR8UtmGqZd+zYIYphwYIFdPjwYdmRlBW2pfDJJ5+ISdTQ0CA7DjOA/7Jv/sd17dq1NDQ0JDuWcsKyFJqamsTE4Q8wCR3+eVhWViYe3+joaKqtrZWcTC1hVwp9fX00f/588V63FWJiYixZj5FUzDx6HnZ1dVF6erooh9zcXPrjjz8kplNH2JXCE088QQDo6aeftmydKo2Pn4qZx7owTGVlJU2dOlVcV/PAgQMSkqklrErhjTfeIAC0cOFCS7caqozPaCpmHk93dzdlZGSIvYacnBwaGBiQHcu2wqYUysvLxaRobW21dN12OLkoUCpm/i+7du0SH+Aza9asoE+JD1VhUQpff/21KISamhrZcZhJJnJhGE3TxLEpAOj555+n8+fPW5BOHSFfCr/99hvdddddfJmvMBDIPNyzZw9Nnz6dANDMmTNp7969JiZTS0iXwsjICCUkJBAAWr16tbQcKu6mqpg50Hl47tw5WrVqldhrWLlyJZ09e9akdOoI6VLIyckhAPTQQw9JPWHGruPzb1TMPNlP9963bx85nU4CQJGRkbR7926Dk6klZEvBf4rtjBkz6JdffpGaxY7j819UzByMCxcukMfjEXsNmZmZdObMGdmxpAjJUjh48KB4cL/88kvZcWw3PhOhYmYj1NTU0OzZswkARUREBPxpYKEg5Eqhvb1dHKxSUlIiOw4RqXdyEZGamY26MMzg4KC4LJ//QLdff/3VkGWrIKRKYWhoiB544AECQK+++qrsOMxiRs/DgwcP0pw5cwgATZkyhT766CNDl29XIVUKmZmZBIAee+wx2VGYBGbMw0uXLtHLL78s9hrS0tLo559/Nnw9dhIypeD/dKHo6Gjq7e2VHUdHxZOLVMxs5jw8dOgQ3XfffaIcSktLTVuXbCFRCh9//LF4sL777jupWcYie3wmQ8XMZn9S9l9//UWvvfaamGuPP/44nTp1ytR1yqB8KXz//ffiQbLr+8sq/oGpmNkqX3zxBcXGxop59/7778uOZCilS+H333+nefPmEQDatGmTlAwToeKuuIqZrXT16lXKy8sTxbBixQpqb2+XHcsQSpdCamoqAaCMjAwp62f2IuOTsr/66itauHChKIft27dbnsFoypbC66+/Lj4Q5NKlS5avn9mPrI3T9evXacOGDaIYEhMTLT8930hKlsKHH34o3jtua2uzdN2ToeLJRSpmlv06yLFjx8RxMgDonXfekZpnspQrhezsbDHoqlxaS/ZknQwVM9vhwjA3btygTZs2iTn68MMPU0tLC7377rsTXkZTUxNt3LjRxJT/zrBSsOI2Y8YMJVtYxT8wFTPbSWNjIy1ZskQ3fwPhv+K4jHJQqhQiIyMJAHk8HiNiW0bFV/K5FIyxZcsWMX+7uroCuu/ojyIIpBzy8vIoLy8v0KiCIY+8/1x0vvGNb+bdnE7nhC4C43a7g/qsCwcRERTicDigWGRmkd7eXsTExMiOMabJzNvOzk6kpqYCAAoKCrBx40Y4nc5xf9/n88Hlcum+p2ka4uLiAsuqWinMnTsXFy5ckB2DsYAEOm87OzvxzDPPIDc39z/LYDSv14vk5OSgNpxTJ31PSbgQmIoCmbe9vb1obm7G6dOnJ1wGfn19fbfsLQRKuT0Fxtj48vPzAQC7d++e9DKmGBWGMSafz+fDihUrgloGlwJjIaShoSHoZXApMBZC8vLy4PF4cP/99096Gfyawij5+fmIiYnBli1bZEcJG16vF2vWrEFPT4/sKOwfvKcwSmNjIxITE2XHCCutra1IS0uTHYONIqUUSktL4XA44HA4kJ6ejvT0dHi9XhlRBJ/PB03TEB0dLTVHuPnhhx9se8BRXV2dmKcOh0P6HLWK5aVQWlqKwsJC0N+HWCMuLg4NDQ1ISkqyOopOf38/XC4X2tvbxSTwv71jd6NL1u6Zb87a09Njy72z0tJSeDweMU9LSkpQXFwsO5Y1Jn2A9CQB0B2XXVtbSy6Xy+oYtygpKSEA4kSSkydPEgDSNE1ysn/nz+3ndrvp5MmTEhONb6ysEqbghADQjaPb7Q7qJCOVWPqIjPWHFuwZXUbJy8sjt9stvtY07ZaJYUcqZPSz6wbhZv55OvpmhzlqFUufPvT19QGA7gSNqqoqWzynbGxsxJo1a8TX/f39AGDr1xjq6uoAQPpTr4nwPx/Pzs4W32tpabHli4z+Q4Xpn6cORBTUEYKqsbQU5s2bB+DvF/UAiPdS7fCcUtM0JCQkiK9bW1vhcrkCPsPMasEe524V/wZhNLtsEMaiaZrsCNJYWgpJSUlwu91wuVxwOBzYv3+/+L5M/q3YkSNHAPxdWoWFhUq8sKRpmijZuro6275CbucNws2ys7Phdrt17zzY/QVcQ0l++mILJSUllJeXRy6XSzyHDOYiFVbyv1gHBZ73js7qf97O7IePaGSM6fARjYwxHS4FxpgOlwJjTIdLgTGmw6XAGNPhUmCM6XApMMZ0uBQYYzpcCowxHS4FxpgOlwJjTIdLgTGmw6XAGNPhUmCM6XApMMZ0uBQYYzpcCowxHS4FxpjO/wHxHEHo/lbijAAAAABJRU5ErkJggg==)
The graph gives the magnitude B(t) of a uniform magnetic field that exists throughout a conducting loop, perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude of the emf induced in the loop, greatest first
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQUAAACBCAYAAADJwK/rAAAOkklEQVR4nO3df0zU9R8H8OeZMSN1lyVLNAUu55ozWS5qCAb94FhjjCyTGxWWlYE5dC5xzRVzVEIQ+J2TzBwyZ2BarHImZEF4Y4wxpRo1Jp8TE2EsHZTOOcd8ff+oe4+PQnHc5/N5f953r8d2m/y4z+fp+948P5+7+3w+5yAiAmOM/WOK7ACMMXvhUmCM6XApMMZ0uBQYYzpcCowxHS4FxpgOlwJjTMeQUujt7TViMYwxGwi6FIaHh5GammpEFsaYDQRdCpWVlejt7UVRUZEReRhjkjmCOcx5eHgYsbGxGB4ehtPpxNDQkJHZGGMS6PYU8vPz4XA4dDefzzfunSsrK8W/h4eHeW+BsRCgK4XGxkbU1taCiEBEcLvdKCsrG/OOw8PDqKmpQXV1NQCgqakJO3fuND8xY8xUulLQNA0JCQni67i4uHHvuH//flRUVCArKwsAkJKSgvr6et5bYExxU/3/8Hq9cLlcogi8Xi+qqqqgadqYd4yPj0dKSorueykpKXA6nSbGZYyZTZRCa2srNE2Dw+EQP6ytrR13b+HmQvCLj483OCJjzEri6UNvby9KSkrE6wmapsHj8cDr9crMxxizmCiFxsZGzJ8/X/zAv4fQ19dnfSrGmDRTAMDn893yImN+fj5cLheys7OlhWOMWW8qAPT39wMAXC6X+IHL5UJPT4+cVIwxaYI6olEsxOEAX/+VsdDAp04zxnS4FBhjOlwKjDEdLgXGmA6XAmNMh0uBMabDpcAY0+FSYIzpcCkwxnS4FBhjOlwKjDEdLgXGmA6XAmNMh0vBZNXV1bj99ttvuXS+3W9z5szBZ599Jnv4mAR86rSJvF4vkpOTZccIygsvvIDy8nJERUXJjsIswqVgksHBQSQmJooP01FtfBwOByIiInD9+nXcc889KC8vx0svvSQ7FrMAP30wSW5uLnw+H9LS0mRHmbSuri5kZmbi4sWLyM3NhcfjEVfpYiGMDGDQYkLGm2++SQAoNjaWBgYGlByf0ZmrqqooMjKSAJDT6aR9+/ZJTMbMxqVgsJ07dxIAAkAtLS1ERNTU1CQ5VeBuznz27FlauXKl+L8999xzdO7cOUnpmJm4FAx07Ngx8UcTqlvTvXv30syZMwkATZ8+nfbs2SM7EjMYl4JBzpw5Q7NnzyYAtHXrVtlxTHX+/HlavXq1KMCsrCzSNE12LGYQLgWDJCYmEgB69tlnb/mZ0+mUkCg4E8lcXV1Ns2bNIgA0bdo02rVrlwXJmNm4FAyQm5tLAOjBBx+kK1eu3PJzFcdnopkHBgYoJydH7DVkZGRQd3e3yemYmbgUglRcXEwA6I477qDTp0+P+Tsqjk+gmQ8cOEBRUVEEgG677TaqrKw0KRkzG5dCEA4dOiS2kJ9//vm4v5eSkmJhKmNMJvPFixfFXhMASk9Pp66uLhPSMTNxKUzSqVOnaNq0aQSA3nvvPdlxbKW2tpbmzp0ryqGsrEx2JBYALoVJuHz5Mi1ZsoQA0Jo1a2THsaXh4WFau3atKIYnn3ySOjs7ZcdiE8ClMAn+g3iWL18+od+vqKgwOZHxjMp8+PBhWrBggSiHHTt2GLJcZh4uhQAVFhYSAIqKiqKenp4J3UfF8TEy85UrV2jdunWiGFJSUqijo8Ow5TNjcSkE4NNPPxUT+9tvv53w/VQcHzMy19fXk8vlEmNYXFxs+DpY8LgUJujHH38Uk/l///tfQPdVcXzMynzt2jVav369GMvly5dTW1ubKetik8OlMAH9/f0UExNDAGjDhg0B3z8UTogy2tGjR2nRokWiHIqKikxdH5s4LoUJeOqpp8T77sw4IyMjVFBQIIrhkUceIa/XKztW2ONS+A/5+fkEgFwuFw0ODsqOE5KOHz9OixcvFuWwbds22ZHCGpfCv6ioqBATNZgtWKieEGW0zZs3i/FetmwZNTc3W56BcSmM6+jRo2KCVldXB7UsFcdHVuYTJ07Q0qVLxdiH+mnodsSlMIbu7m66++67CQC9/fbbQS9PxfGRnXnr1q2iGJYuXUonTpyQmieccCnc5MaNG/Too48SAFq1apUhy4yPjzdkOVayQ+bm5mZatmyZKIfNmzfLjhQWuBRu8uKLLxIAio+Pp6tXr8qOw4ho27ZtohgWL15Mx48flx0ppHEpjLJ9+3YCQHfeeSf99NNPsuOwUbxer9iDA0AFBQU0MjIiO1ZI4lL4R21trZhwR44cMXTZ4XxClNGKiorE47Ro0SL65ptvZEcKOVwKRNTR0UEREREEgD744APDl6/i+Ng5c1tbGyUlJYlyWL9+PV27dk12rJAR9qXw559/igNnXnnlFVPWoeL4qJDZfyk8/8Fl9fX1siOFhLAvhaysLAJAycnJpq1DxfFRJXNHRwelpKSIcli3bh1dvnxZdiylhXUpvPXWWwSA7r33XvL5fKatR8UtmGqZd+zYIYphwYIFdPjwYdmRlBW2pfDJJ5+ISdTQ0CA7DjOA/7Jv/sd17dq1NDQ0JDuWcsKyFJqamsTE4Q8wCR3+eVhWViYe3+joaKqtrZWcTC1hVwp9fX00f/588V63FWJiYixZj5FUzDx6HnZ1dVF6erooh9zcXPrjjz8kplNH2JXCE088QQDo6aeftmydKo2Pn4qZx7owTGVlJU2dOlVcV/PAgQMSkqklrErhjTfeIAC0cOFCS7caqozPaCpmHk93dzdlZGSIvYacnBwaGBiQHcu2wqYUysvLxaRobW21dN12OLkoUCpm/i+7du0SH+Aza9asoE+JD1VhUQpff/21KISamhrZcZhJJnJhGE3TxLEpAOj555+n8+fPW5BOHSFfCr/99hvdddddfJmvMBDIPNyzZw9Nnz6dANDMmTNp7969JiZTS0iXwsjICCUkJBAAWr16tbQcKu6mqpg50Hl47tw5WrVqldhrWLlyJZ09e9akdOoI6VLIyckhAPTQQw9JPWHGruPzb1TMPNlP9963bx85nU4CQJGRkbR7926Dk6klZEvBf4rtjBkz6JdffpGaxY7j819UzByMCxcukMfjEXsNmZmZdObMGdmxpAjJUjh48KB4cL/88kvZcWw3PhOhYmYj1NTU0OzZswkARUREBPxpYKEg5Eqhvb1dHKxSUlIiOw4RqXdyEZGamY26MMzg4KC4LJ//QLdff/3VkGWrIKRKYWhoiB544AECQK+++qrsOMxiRs/DgwcP0pw5cwgATZkyhT766CNDl29XIVUKmZmZBIAee+wx2VGYBGbMw0uXLtHLL78s9hrS0tLo559/Nnw9dhIypeD/dKHo6Gjq7e2VHUdHxZOLVMxs5jw8dOgQ3XfffaIcSktLTVuXbCFRCh9//LF4sL777jupWcYie3wmQ8XMZn9S9l9//UWvvfaamGuPP/44nTp1ytR1yqB8KXz//ffiQbLr+8sq/oGpmNkqX3zxBcXGxop59/7778uOZCilS+H333+nefPmEQDatGmTlAwToeKuuIqZrXT16lXKy8sTxbBixQpqb2+XHcsQSpdCamoqAaCMjAwp62f2IuOTsr/66itauHChKIft27dbnsFoypbC66+/Lj4Q5NKlS5avn9mPrI3T9evXacOGDaIYEhMTLT8930hKlsKHH34o3jtua2uzdN2ToeLJRSpmlv06yLFjx8RxMgDonXfekZpnspQrhezsbDHoqlxaS/ZknQwVM9vhwjA3btygTZs2iTn68MMPU0tLC7377rsTXkZTUxNt3LjRxJT/zrBSsOI2Y8YMJVtYxT8wFTPbSWNjIy1ZskQ3fwPhv+K4jHJQqhQiIyMJAHk8HiNiW0bFV/K5FIyxZcsWMX+7uroCuu/ojyIIpBzy8vIoLy8v0KiCIY+8/1x0vvGNb+bdnE7nhC4C43a7g/qsCwcRERTicDigWGRmkd7eXsTExMiOMabJzNvOzk6kpqYCAAoKCrBx40Y4nc5xf9/n88Hlcum+p2ka4uLiAsuqWinMnTsXFy5ckB2DsYAEOm87OzvxzDPPIDc39z/LYDSv14vk5OSgNpxTJ31PSbgQmIoCmbe9vb1obm7G6dOnJ1wGfn19fbfsLQRKuT0Fxtj48vPzAQC7d++e9DKmGBWGMSafz+fDihUrgloGlwJjIaShoSHoZXApMBZC8vLy4PF4cP/99096Gfyawij5+fmIiYnBli1bZEcJG16vF2vWrEFPT4/sKOwfvKcwSmNjIxITE2XHCCutra1IS0uTHYONIqUUSktL4XA44HA4kJ6ejvT0dHi9XhlRBJ/PB03TEB0dLTVHuPnhhx9se8BRXV2dmKcOh0P6HLWK5aVQWlqKwsJC0N+HWCMuLg4NDQ1ISkqyOopOf38/XC4X2tvbxSTwv71jd6NL1u6Zb87a09Njy72z0tJSeDweMU9LSkpQXFwsO5Y1Jn2A9CQB0B2XXVtbSy6Xy+oYtygpKSEA4kSSkydPEgDSNE1ysn/nz+3ndrvp5MmTEhONb6ysEqbghADQjaPb7Q7qJCOVWPqIjPWHFuwZXUbJy8sjt9stvtY07ZaJYUcqZPSz6wbhZv55OvpmhzlqFUufPvT19QGA7gSNqqoqWzynbGxsxJo1a8TX/f39AGDr1xjq6uoAQPpTr4nwPx/Pzs4W32tpabHli4z+Q4Xpn6cORBTUEYKqsbQU5s2bB+DvF/UAiPdS7fCcUtM0JCQkiK9bW1vhcrkCPsPMasEe524V/wZhNLtsEMaiaZrsCNJYWgpJSUlwu91wuVxwOBzYv3+/+L5M/q3YkSNHAPxdWoWFhUq8sKRpmijZuro6275CbucNws2ys7Phdrt17zzY/QVcQ0l++mILJSUllJeXRy6XSzyHDOYiFVbyv1gHBZ73js7qf97O7IePaGSM6fARjYwxHS4FxpgOlwJjTIdLgTGmw6XAGNPhUmCM6XApMMZ0uBQYYzpcCowxHS4FxpgOlwJjTIdLgTGmw6XAGNPhUmCM6XApMMZ0uBQYYzpcCowxHS4FxpjO/wHxHEHo/lbijAAAAABJRU5ErkJggg==)
physics-General
physics-
Some magnetic flux is changed from a coil of resistance 10 ohm. As a result an induced current is developed in it, which varies with time as shown in figure. The magnitude of change in flux through the coil in webers is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOEAAACbCAYAAACUCvzdAAAPQklEQVR4nO3dfWwT9R8H8PchIWRRMvU/XJa5NvxhTMB/TCQbWXxYR48h4BAGIhsPgw7B8SBDHAzGky3INsQNRNzAuTaAPDg6YDFgSqPiQwohEjW9WsmQGGM2H7IYYrzfH/Pu13ZrKbDue23fr6RJ7+57d58tffeud/e9k1RVVUFEwowQXQBRumMIiQRjCIkEYwiJBGMIiQRjCIkEYwiJBGMIiQRjCIkEizuEDocDlZWViawlJkmSEAgEhK2fKFHCQmg2m6MGrbq6GmvWrBmWogZjs9lw7NixuNsHg8EEVkM0dKR4rh11uVyoqamB3+8fjpoG5fV6UVZWFlcNvb29eOKJJ/Djjz8OQ2VE90bfEnq9XkiSNGgjj8eDwsLCAeMdDgckSYIkSSgqKkJRURG8Xq++PLPZHNbG4XDo69HmCV2/2WyGy+UKa6/Jy8uDoij68mNpaGhAMBjEpk2b4v9PEImi/sdut6sWi0UdjMlkUp1OZ9g4u92uhsyu2my2sGFtus1mCxs2mUyqqqrqxYsXVQCqoiiDtnc6nWHLi1ZHpJ6eHjUzM1MFoGZmZsZsS2QE+pYwGAwiNzd30KAqijJgXHV1NZxOpz48adIkmEwmfTgYDMJisaCpqSlsvsjdSW2dke2zsrIAIOxgjNlsxvXr12N+qTQ0NOjve3t7uTUkw9ND2NXVhUmTJkVtqIUCgL5L+OSTT+rjIndZu7q6UFZWpg8Hg0HYbDZ9uLu7GxaLJWr77u5uABjwxRDrgEtvby8OHTqElpYWAMCFCxfQ2NgYtT2REeghVBQlLFSRtFCEvg8NSHNzM3JycvThyOVFhtzj8YTNH9ne4/GEhVQTuo5Ira2tqK+vx7Rp0wAABQUFOHHiBLeGZGgjgP9v2aLtjobuZgIDdxXNZjMAYOLEiYi2PEVRwramgUBAD6XW/ssvv9SHm5ubUVNTE7Zev9+P7OzsqH/MhAkT9ABqCgoKBowjMhRVjX1QRlX7D7poB0w0FotFBaAC0A+yaCKXFzldVVV9vtD2JpMpbJmRoo0fTOT6iIzKEOcJKysrkZOTg7Vr10Zt4/V6kZ+fjzjKBdB/hU28bYlEGnHrzBn01dXpI/rq6nDrzJmwRrNnz4aiKAm7bKyrq0vflY2mvb097MAOUaoY+c/XX6OvtlYf0Vdbi4y6OoyaPDmsoc1mw65duwaccrhXgUAAiqJg7NixMds1NzcPeqqEKNlJqqqqfVu2oG/jRgBARl0dMjZsEFzWvePuKCUL/TfhrbNnAQCjQi4lS2YMISWLuA7MJCOGkJIFO/USCcYQEgnGEBIJxhASCcYQEgnGEBIJxhASCcYQEgnGEBIJljQhDAQCkCRJ70Acjdfrxfjx4/X3REaXNJetabdH9Pv9Mfs1PvXUU/jiiy8AAOPHj8fly5eHpT6iu5UUW0KXywUAYTeCikYLIABcuXIFN2/eTFhdREPB8CEMBAIoLS2Nux9jfn5+2LAsy7hx40YiSiMaEoYPYWVlJex2e9SbUEXavn07xo0bBwB4/PHH4fP5IMty2N3iiIzE0CF0uVzw+/0x7z0TKS8vD99//z2A/tsmTpw4EVeuXIHVar3tjYOJRDB0CD0eDxRF0Z9NUVpaqg/Hc+TzwQcfRGdnJ/Ly8nD16lVYrVY+rYkMJ2mOjgJ3dte30E69f/75J6ZMmQKPx4PHHnsMHR0dce/eEiWaobeEQ+WBBx6A2+1GQUEBrl27BlmWhT7mjShUUm0J78Rgt7fo6+tDcXExzp8/j3HjxqGjo0M/iEMkSlpsCTUZGRlwu9149tln8cMPP0CWZXz33Xeiy6I0l1YhBIDRo0fD7XajsLAQfr8fsizj2rVrosuiNJZ2IQSAUaNGwe12o6ioCIFAALIs49tvvxVdFqWptAwhAIwcORJutxuTJ09GMBiE1WrF1atXRZdFaShtQwgAI0aMQGdnJ2RZxvXr12G1WnHlyhXRZVGaSesQak6fPo3i4mJ0d3dDlmX4fD7RJVEaYQj/8/HHH+P555/HjRs3IMsyvvnmG9ElUZpgCEOcPHkS06dPx82bNyHLMr766ivRJVEaYAgjHD9+HC+88AJ++eUXyLKMS5cuiS6JUhxDOIhjx45h5syZ+PXXXyHLclhHYaKhxhBGceTIEcyaNQu//fYbrFYrPvvsM9ElUYpiCGNwuVyYPXs2enp6YLVaeeMoSgiG8DacTifmzJmD33//HbIsw+PxiC6JUgxDGIcPP/wQL730Ev744w/IsoxPP/1UdEmUQhjCOH3wwQd4+eWX8ddff0GWZZw/f150SZQiGMI7cOjQIZSVlaGvrw+yLOOTTz4RXRKlAIbwDrW0tGDBggX4+++/Icsyurq6RJdESY4hvAsHDx7EokWLcOvWLciyjHPnzokuiZIYQ3iXDhw4gIqKCvzzzz+wWq04c+aM6JIoSTGE92D//v1YsmQJ/v33X1itVrjdbtElURJiCO/Rvn37YLPZAABTpkxBR0eH4Ioo2TCEQ6CpqQnLli0DAEydOhWnTp0SXBElE4ZwiOzduxfLly8HAEybNg0nTpwQXBElC4ZwCO3ZswevvvoqAGDGjBn46KOPBFdEyYAhHGINDQ1YuXIlAKCkpARHjx4VXBEZHUOYALt378bq1asBAC+++CKOHDkiuCIyMoYwQXbt2oU1a9YAAGbNmqU/bZgoEkOYQDt37tSfrVhaWor29nbBFZERMYQJZrfbsW7dOgDA3Llz0dbWJrgiMhqGcBjs2LED69evBwDMmzcPhw8fFlwRGQlDOEy2bduGmpoaAMD8+fPR2toquCIyCoZwGG3ZsgUbN24EAJSXl+P9998XXBEZAUM4zDZv3oxNmzYBABYuXIj33ntPcEUkGkMoQG1tLerq6gAAixcvxoEDBwRXRCIxhIJs2LABW7ZsAQBUVFRg//79gisiURhCgWpqarBt2zYAwNKlS9Hc3Cy4IhKBIRRs/fr12LFjBwCgsrIS77zzjuCKaLgxhAawbt062O12AMArr7yCt99+W3BFNJwYQoNYu3Ytdu7cCQBYsWIFGhsbBVdEw4UhNJA1a9bgrbfeAgBUVVWhvr5ecEU0HBhCg1m1apUevlWrVmH37t2CK6JEYwgNqKqqSt8dXb16NXbt2iW4IkokhtCgVqxYgT179gAAXnvtNTgcDsEVUaIwhAa2fPly7N27FwBQXV2NN998U3BFlAgMocEtW7YMTU1NAIDXX38d27dvF1wRDTWGMAnYbDbs27cPAPDGG29g69atgiuiocQQJoklS5bg3XffBdB/3al2ATglP4YwiSxevFjv+lRbW6t3iaLkxhAmmYULF+qdgTdv3oza2lrBFdG9YgiTUHl5OVpaWgAAdXV12LBhg+CK6F5IqqqqootIBEmSkKJ/mu7w4cOYP38+gP7eGFq3KEouDGGSa2trw7x58wD098bQukVR8mAIU0B7ezvmzp0LoL83htYtipIDQ5giXC4XSktLAfT3xtC6RZHxMYQp5MiRI5g1axaA/h4YWrcoMjaGMMUcO3YMM2fOBMA+icmCpyhSTElJif5w0oaGBlRVVQmuiG6HIUxBM2bMwPHjxwEAjY2NWLFiheCKKBbujqawU6dOYdq0aQD6e2No3aLIWBjCFNfR0YGpU6cC6O+NoXWLIuPg7miKKy4uxunTpyFJEpqbm7F06VLRJVEEhjANyLIMt9uN++67D/v370dFRYXokigEQ5gmJk+eDLfbjZEjR+LAgQNYtGiR6JLoPwxhGrFYLOjs7MSoUaNw8OBBLFiwQHRJBIYw7Tz33HPo7OzE6NGj0dLSgvLyctElpT2GMA0988wzcLvdyMjIQGtrq94disRgCNPU008/Dbfbjfvvvx+HDx/Wu0PR8GMI01hBQQHcbjfGjBmDtrY2vTtUunE4HKisrEzIsiVJQiAQiN2GJ+vJ6/WiuLgYvb29mD17NpxOp+iShpQWsGgXKkiSBEVRkJubm5B15+TkYO3atVHbcEtIyMvLg9vtxkMPPQSXy6V3hzKKy5cvY+XKlXc9fyAQwKRJkwad5nK5YDKZEhJAAJgzZ45+q8qo1BSVwn9awnz++efqww8/rAJQS0pKRJcTxufzqQDUqqqquOdRFEUFEPZSFCWsjc1mU20224B5tfYmkylsvNPpDFvexYsX9Wl2u10fH7rMyHYD1hX3X5RkGMK7c+nSJXXMmDEqAHXs2LHq0aNHRZek04J4J2G8ePFizM+CyWRSnU5n2DiLxaLa7XZ9fu29FjKN3W5XLRbLoNMsFosevMHWESplP6mR34B8pd4rMzNT9fl8MT8HTqdzwNYs8nMSGRCTyRR16xi6RbNYLHq7yGmhQkM9mJT9TdjT0wO1/0uGrzt8Pfroo/r/MTs7W3g92svn8yEzMxOZmZmoqqqCz+fDhAkTYn4OPB4PCgsLY7bJysoKG+7q6kJzczMkSYLL5QLQf/AKAPLz8yFJEiRJQm5uLpqamvQ2eXl5UdcRDAajTkvZEGZmZoouIWk5HA488sgjyM7ONswzLy5fvozp06ejrKwMPp8P9fX1yMnJue18sQ7KaLq7u8OGc3NzoaoqnE6nfvOs7u5umEymsC+F0KOtJpMp5jpi1ZqyIaS7V1JSgu7ubvz000+GuJomGAzi5MmTuHDhQtzh05w7dy7m9MjwmM1m/f3169fDpiuKEnU5iqLo5wNdLpe+5QQAv9+P7Ozs6EWoRAbX09Nz1/PabDYVGHiUM3R66O8/7UCO9gplsVjCpoXOFzot8vckYvxeVFVVTdmT9UTxcLlcqKmpgd/vT8jyvV4v8vPzY144whBS2kv0FTNA9Kt1AIaQKK6g3K14As4QEgnGo6Okn/eSJAlFRUUx23q93rjaUfwYwjRnNpths9n0c19+vz9qt56ioiJs3bqVT30aYtwdTWODHbnTnu4U62PhcDhw/vx5nD17djjKTHncEqYx7SqQUNolXLfriEpDhyGkMGPHjhVdQtphCCnMzz//LLqEtMMQprGsrKwB10Nqu6iJ6mlOAzGEaUzreuNwOPRxNTU1+m3yzWZzwm6ARP/HEKY5RVFQXV2tnycsLCyMelOioqIiSJKE6upqnDt3jucLhwhPURAJxi0hkWAMIZFgDCGRYAwhkWAMIZFgDCGRYAwhkWAMIZFgDCGRYAwhkWAMIZFgDCGRYAwhkWAMIZFgDCGRYAwhkWAMIZFgDCGRYAwhkWD/A1/yqKnfCkAUAAAAAElFTkSuQmCC)
Some magnetic flux is changed from a coil of resistance 10 ohm. As a result an induced current is developed in it, which varies with time as shown in figure. The magnitude of change in flux through the coil in webers is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOEAAACbCAYAAACUCvzdAAAPQklEQVR4nO3dfWwT9R8H8PchIWRRMvU/XJa5NvxhTMB/TCQbWXxYR48h4BAGIhsPgw7B8SBDHAzGky3INsQNRNzAuTaAPDg6YDFgSqPiQwohEjW9WsmQGGM2H7IYYrzfH/Pu13ZrKbDue23fr6RJ7+57d58tffeud/e9k1RVVUFEwowQXQBRumMIiQRjCIkEYwiJBGMIiQRjCIkEYwiJBGMIiQRjCIkEizuEDocDlZWViawlJkmSEAgEhK2fKFHCQmg2m6MGrbq6GmvWrBmWogZjs9lw7NixuNsHg8EEVkM0dKR4rh11uVyoqamB3+8fjpoG5fV6UVZWFlcNvb29eOKJJ/Djjz8OQ2VE90bfEnq9XkiSNGgjj8eDwsLCAeMdDgckSYIkSSgqKkJRURG8Xq++PLPZHNbG4XDo69HmCV2/2WyGy+UKa6/Jy8uDoij68mNpaGhAMBjEpk2b4v9PEImi/sdut6sWi0UdjMlkUp1OZ9g4u92uhsyu2my2sGFtus1mCxs2mUyqqqrqxYsXVQCqoiiDtnc6nWHLi1ZHpJ6eHjUzM1MFoGZmZsZsS2QE+pYwGAwiNzd30KAqijJgXHV1NZxOpz48adIkmEwmfTgYDMJisaCpqSlsvsjdSW2dke2zsrIAIOxgjNlsxvXr12N+qTQ0NOjve3t7uTUkw9ND2NXVhUmTJkVtqIUCgL5L+OSTT+rjIndZu7q6UFZWpg8Hg0HYbDZ9uLu7GxaLJWr77u5uABjwxRDrgEtvby8OHTqElpYWAMCFCxfQ2NgYtT2REeghVBQlLFSRtFCEvg8NSHNzM3JycvThyOVFhtzj8YTNH9ne4/GEhVQTuo5Ira2tqK+vx7Rp0wAABQUFOHHiBLeGZGgjgP9v2aLtjobuZgIDdxXNZjMAYOLEiYi2PEVRwramgUBAD6XW/ssvv9SHm5ubUVNTE7Zev9+P7OzsqH/MhAkT9ABqCgoKBowjMhRVjX1QRlX7D7poB0w0FotFBaAC0A+yaCKXFzldVVV9vtD2JpMpbJmRoo0fTOT6iIzKEOcJKysrkZOTg7Vr10Zt4/V6kZ+fjzjKBdB/hU28bYlEGnHrzBn01dXpI/rq6nDrzJmwRrNnz4aiKAm7bKyrq0vflY2mvb097MAOUaoY+c/XX6OvtlYf0Vdbi4y6OoyaPDmsoc1mw65duwaccrhXgUAAiqJg7NixMds1NzcPeqqEKNlJqqqqfVu2oG/jRgBARl0dMjZsEFzWvePuKCUL/TfhrbNnAQCjQi4lS2YMISWLuA7MJCOGkJIFO/USCcYQEgnGEBIJxhASCcYQEgnGEBIJxhASCcYQEgnGEBIJljQhDAQCkCRJ70Acjdfrxfjx4/X3REaXNJetabdH9Pv9Mfs1PvXUU/jiiy8AAOPHj8fly5eHpT6iu5UUW0KXywUAYTeCikYLIABcuXIFN2/eTFhdREPB8CEMBAIoLS2Nux9jfn5+2LAsy7hx40YiSiMaEoYPYWVlJex2e9SbUEXavn07xo0bBwB4/PHH4fP5IMty2N3iiIzE0CF0uVzw+/0x7z0TKS8vD99//z2A/tsmTpw4EVeuXIHVar3tjYOJRDB0CD0eDxRF0Z9NUVpaqg/Hc+TzwQcfRGdnJ/Ly8nD16lVYrVY+rYkMJ2mOjgJ3dte30E69f/75J6ZMmQKPx4PHHnsMHR0dce/eEiWaobeEQ+WBBx6A2+1GQUEBrl27BlmWhT7mjShUUm0J78Rgt7fo6+tDcXExzp8/j3HjxqGjo0M/iEMkSlpsCTUZGRlwu9149tln8cMPP0CWZXz33Xeiy6I0l1YhBIDRo0fD7XajsLAQfr8fsizj2rVrosuiNJZ2IQSAUaNGwe12o6ioCIFAALIs49tvvxVdFqWptAwhAIwcORJutxuTJ09GMBiE1WrF1atXRZdFaShtQwgAI0aMQGdnJ2RZxvXr12G1WnHlyhXRZVGaSesQak6fPo3i4mJ0d3dDlmX4fD7RJVEaYQj/8/HHH+P555/HjRs3IMsyvvnmG9ElUZpgCEOcPHkS06dPx82bNyHLMr766ivRJVEaYAgjHD9+HC+88AJ++eUXyLKMS5cuiS6JUhxDOIhjx45h5syZ+PXXXyHLclhHYaKhxhBGceTIEcyaNQu//fYbrFYrPvvsM9ElUYpiCGNwuVyYPXs2enp6YLVaeeMoSgiG8DacTifmzJmD33//HbIsw+PxiC6JUgxDGIcPP/wQL730Ev744w/IsoxPP/1UdEmUQhjCOH3wwQd4+eWX8ddff0GWZZw/f150SZQiGMI7cOjQIZSVlaGvrw+yLOOTTz4RXRKlAIbwDrW0tGDBggX4+++/Icsyurq6RJdESY4hvAsHDx7EokWLcOvWLciyjHPnzokuiZIYQ3iXDhw4gIqKCvzzzz+wWq04c+aM6JIoSTGE92D//v1YsmQJ/v33X1itVrjdbtElURJiCO/Rvn37YLPZAABTpkxBR0eH4Ioo2TCEQ6CpqQnLli0DAEydOhWnTp0SXBElE4ZwiOzduxfLly8HAEybNg0nTpwQXBElC4ZwCO3ZswevvvoqAGDGjBn46KOPBFdEyYAhHGINDQ1YuXIlAKCkpARHjx4VXBEZHUOYALt378bq1asBAC+++CKOHDkiuCIyMoYwQXbt2oU1a9YAAGbNmqU/bZgoEkOYQDt37tSfrVhaWor29nbBFZERMYQJZrfbsW7dOgDA3Llz0dbWJrgiMhqGcBjs2LED69evBwDMmzcPhw8fFlwRGQlDOEy2bduGmpoaAMD8+fPR2toquCIyCoZwGG3ZsgUbN24EAJSXl+P9998XXBEZAUM4zDZv3oxNmzYBABYuXIj33ntPcEUkGkMoQG1tLerq6gAAixcvxoEDBwRXRCIxhIJs2LABW7ZsAQBUVFRg//79gisiURhCgWpqarBt2zYAwNKlS9Hc3Cy4IhKBIRRs/fr12LFjBwCgsrIS77zzjuCKaLgxhAawbt062O12AMArr7yCt99+W3BFNJwYQoNYu3Ytdu7cCQBYsWIFGhsbBVdEw4UhNJA1a9bgrbfeAgBUVVWhvr5ecEU0HBhCg1m1apUevlWrVmH37t2CK6JEYwgNqKqqSt8dXb16NXbt2iW4IkokhtCgVqxYgT179gAAXnvtNTgcDsEVUaIwhAa2fPly7N27FwBQXV2NN998U3BFlAgMocEtW7YMTU1NAIDXX38d27dvF1wRDTWGMAnYbDbs27cPAPDGG29g69atgiuiocQQJoklS5bg3XffBdB/3al2ATglP4YwiSxevFjv+lRbW6t3iaLkxhAmmYULF+qdgTdv3oza2lrBFdG9YgiTUHl5OVpaWgAAdXV12LBhg+CK6F5IqqqqootIBEmSkKJ/mu7w4cOYP38+gP7eGFq3KEouDGGSa2trw7x58wD098bQukVR8mAIU0B7ezvmzp0LoL83htYtipIDQ5giXC4XSktLAfT3xtC6RZHxMYQp5MiRI5g1axaA/h4YWrcoMjaGMMUcO3YMM2fOBMA+icmCpyhSTElJif5w0oaGBlRVVQmuiG6HIUxBM2bMwPHjxwEAjY2NWLFiheCKKBbujqawU6dOYdq0aQD6e2No3aLIWBjCFNfR0YGpU6cC6O+NoXWLIuPg7miKKy4uxunTpyFJEpqbm7F06VLRJVEEhjANyLIMt9uN++67D/v370dFRYXokigEQ5gmJk+eDLfbjZEjR+LAgQNYtGiR6JLoPwxhGrFYLOjs7MSoUaNw8OBBLFiwQHRJBIYw7Tz33HPo7OzE6NGj0dLSgvLyctElpT2GMA0988wzcLvdyMjIQGtrq94disRgCNPU008/Dbfbjfvvvx+HDx/Wu0PR8GMI01hBQQHcbjfGjBmDtrY2vTtUunE4HKisrEzIsiVJQiAQiN2GJ+vJ6/WiuLgYvb29mD17NpxOp+iShpQWsGgXKkiSBEVRkJubm5B15+TkYO3atVHbcEtIyMvLg9vtxkMPPQSXy6V3hzKKy5cvY+XKlXc9fyAQwKRJkwad5nK5YDKZEhJAAJgzZ45+q8qo1BSVwn9awnz++efqww8/rAJQS0pKRJcTxufzqQDUqqqquOdRFEUFEPZSFCWsjc1mU20224B5tfYmkylsvNPpDFvexYsX9Wl2u10fH7rMyHYD1hX3X5RkGMK7c+nSJXXMmDEqAHXs2LHq0aNHRZek04J4J2G8ePFizM+CyWRSnU5n2DiLxaLa7XZ9fu29FjKN3W5XLRbLoNMsFosevMHWESplP6mR34B8pd4rMzNT9fl8MT8HTqdzwNYs8nMSGRCTyRR16xi6RbNYLHq7yGmhQkM9mJT9TdjT0wO1/0uGrzt8Pfroo/r/MTs7W3g92svn8yEzMxOZmZmoqqqCz+fDhAkTYn4OPB4PCgsLY7bJysoKG+7q6kJzczMkSYLL5QLQf/AKAPLz8yFJEiRJQm5uLpqamvQ2eXl5UdcRDAajTkvZEGZmZoouIWk5HA488sgjyM7ONswzLy5fvozp06ejrKwMPp8P9fX1yMnJue18sQ7KaLq7u8OGc3NzoaoqnE6nfvOs7u5umEymsC+F0KOtJpMp5jpi1ZqyIaS7V1JSgu7ubvz000+GuJomGAzi5MmTuHDhQtzh05w7dy7m9MjwmM1m/f3169fDpiuKEnU5iqLo5wNdLpe+5QQAv9+P7Ozs6EWoRAbX09Nz1/PabDYVGHiUM3R66O8/7UCO9gplsVjCpoXOFzot8vckYvxeVFVVTdmT9UTxcLlcqKmpgd/vT8jyvV4v8vPzY144whBS2kv0FTNA9Kt1AIaQKK6g3K14As4QEgnGo6Okn/eSJAlFRUUx23q93rjaUfwYwjRnNpths9n0c19+vz9qt56ioiJs3bqVT30aYtwdTWODHbnTnu4U62PhcDhw/vx5nD17djjKTHncEqYx7SqQUNolXLfriEpDhyGkMGPHjhVdQtphCCnMzz//LLqEtMMQprGsrKwB10Nqu6iJ6mlOAzGEaUzreuNwOPRxNTU1+m3yzWZzwm6ARP/HEKY5RVFQXV2tnycsLCyMelOioqIiSJKE6upqnDt3jucLhwhPURAJxi0hkWAMIZFgDCGRYAwhkWAMIZFgDCGRYAwhkWAMIZFgDCGRYAwhkWAMIZFgDCGRYAwhkWAMIZFgDCGRYAwhkWAMIZFgDCGRYAwhkWD/A1/yqKnfCkAUAAAAAElFTkSuQmCC)
physics-General
physics-
A horizontal loop abcd is moved across the pole pieces of a magnet as shown in fig. with a constant speed v. When the edge ab of the loop enters the pole pieces at time t = 0 sec. Which one of the following graphs represents correctly the induced emf in the coil
![](data:image/png;base64,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)
A horizontal loop abcd is moved across the pole pieces of a magnet as shown in fig. with a constant speed v. When the edge ab of the loop enters the pole pieces at time t = 0 sec. Which one of the following graphs represents correctly the induced emf in the coil
![](data:image/png;base64,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)
physics-General
physics-
An alternating current of frequency 200 rad/sec and peak value 1A as shown in the figure, is applied to the primary of a transformer. If the coefficient of mutual induction between the primary and the secondary is 1.5 H, the voltage induced in the secondary will be
![](data:image/png;base64,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)
An alternating current of frequency 200 rad/sec and peak value 1A as shown in the figure, is applied to the primary of a transformer. If the coefficient of mutual induction between the primary and the secondary is 1.5 H, the voltage induced in the secondary will be
![](data:image/png;base64,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)
physics-General
physics-
The current through a 4.6 H inductor is shown in the following graph. The induced emf during the time interval t = 5 milli-sec to 6 milli-sec will be
![](data:image/png;base64,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)
The current through a 4.6 H inductor is shown in the following graph. The induced emf during the time interval t = 5 milli-sec to 6 milli-sec will be
![](data:image/png;base64,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)
physics-General
maths-
Statement (1): Two perpendicular tangents of parabola y2 = 16x always meet on x + 4 = 0.
Statement (2): Two perpendicular tangents of a parabola, always meets on axis.
Statement (1): Two perpendicular tangents of parabola y2 = 16x always meet on x + 4 = 0.
Statement (2): Two perpendicular tangents of a parabola, always meets on axis.
maths-General
maths-
Statement (1): The curve 9y2 –16x –12y –57 = 0 is symmetric about line 3y = 2.
Statement (2): A parabola is symmetric about it’s axis.
Statement (1): The curve 9y2 –16x –12y –57 = 0 is symmetric about line 3y = 2.
Statement (2): A parabola is symmetric about it’s axis.
maths-General
maths-
y2 = 4x is the equation of a parabola.
Assertion : Through (
+ 1), 3 normals can be drawn to the parabola, if
< 2
Reason : The point (
+ 1) lies outside the parabola for all
–1.
y2 = 4x is the equation of a parabola.
Assertion : Through (
+ 1), 3 normals can be drawn to the parabola, if
< 2
Reason : The point (
+ 1) lies outside the parabola for all
–1.
maths-General
maths-
Assertion (A) : In given fig., Length of ST = 8
![](data:image/png;base64,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)
Reason (R) : The tangents at point P and Q on parabola meet in T, then ST2 = SP. SQ.
Assertion (A) : In given fig., Length of ST = 8
![](data:image/png;base64,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)
Reason (R) : The tangents at point P and Q on parabola meet in T, then ST2 = SP. SQ.
maths-General
physics-
The variation of induced emf (E) with time (t) in a coil if a short bar magnet is moved along its axis with a constant velocity is best represented as
![](data:image/png;base64,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)
The variation of induced emf (E) with time (t) in a coil if a short bar magnet is moved along its axis with a constant velocity is best represented as
![](data:image/png;base64,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)
physics-General