Physics-
General
Easy
Question
The following data were obtained when a wire was stretched within the elastic region Force applied to wire 100 N
Area of cross-section of wire ![10 to the power of negative 6 end exponent m to the power of 2 end exponent](data:image/png;base64,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)
Extensional of wire ![2 cross times 10 to the power of negative 9 end exponent m](data:image/png;base64,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)
Which of the following deductions can be correctly made from this data?
I. The value of Young’s Modulus is ![10 to the power of 11 end exponent N blank m to the power of negative 2 end exponent](data:image/png;base64,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)
II. The strain is ![10 to the power of negative 3 end exponent](data:image/png;base64,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)
III. The energy stored in the wire when the load is applied is 10 J
- 1, 2, 3 are correct
- 1, 2 correct
- 1 only
- 3 only
The correct answer is: 1, 2 correct
Stress = ![fraction numerator 100 N over denominator 10 to the power of negative 6 end exponent m to the power of 2 end exponent end fraction equals 10 to the power of 8 end exponent blank N m to the power of negative 2 end exponent](data:image/png;base64,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)
Strain ![equals blank fraction numerator 2 cross times 10 to the power of negative 3 end exponent over denominator 2 end fraction equals 10 to the power of negative 3 end exponent](data:image/png;base64,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)
Young modulus
= ![fraction numerator 10 to the power of 8 end exponent over denominator 10 to the power of negative 3 end exponent end fraction blank N m to the power of negative 2 end exponent equals 10 to the power of 11 end exponent blank N m to the power of negative 2 end exponent](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMoAAAAqCAYAAADyIcQqAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAAA7tJREFUeNrtne9nV1Ecx4+vZCaRZCYzkpn+gR5MEpmZJCPpQZL4PuhRz5KkR3uaJJFkksSkB8mMfE2SxGQmSU+mB8nEpAczM26fj/u5ud/j3F/f772759zzfvFm93POvl3n8/3c8znnfLpTql6OkF6RNknbpPekEwoA0MUX0kVSS8Q//8awANANB8VY7HpEggcAEOMMaY00QTpGei3pGACNgGeB26SVlD77SQ9Jn0SPxBbnEOkj6SlpnnSftA/DC5rCM1KbFKT06ZDOarNHR+vDC/nJ2PW4BAwAjSIpUM7L7KBzTxbsETuGPlsYVuBLoLzUZoqIU9IWwanb8dj1lAq3iAHwIlA2SHsNdratx65HSQsyi2xJ2jWMYQW+BMpOyu9sY9gAAiU7ULAGAQgUYT0h9RrQUi8fxyuQWfUD6agj9511HJDnuMBr/6Qt5qcM9kltMe8rXK5zjfTZkfvNOg7Ic1zgtX+SBmaG9Nhgn1Pd28O+41oaGvTZ7q1/0gZmiXSdtEfSsFukd4iN/5x0cDx8CpRS/BMYpHOA9ESiksvouYRlt8tT/pAuJ7RtyhRbZm6bZ1yYYcmBq6xrK6vMqMpA8dk/1sALsa/KfIDJbas1LozfqOrPi8oqM6oqUHz3jzWcIz1XYcHlmKHtRQ33xIO/kPHU3q10KW+ZUVWBAv9Ywh3SDRWWzcwmtOnXQ/Ll4S3sX6TpWBp5V4UVB39JN3u8J3bCuCXrirxlRlUFCvxjCfPyZFKSbya1RdfsjGV5mvIGBJfXrMlThhd1F8Q+IuuuoYrWdnny6qDAl7LfMqM8993Lvbnun8bwnXQ49kQ6HWv7FmuL+nbkyRTnpwq3uU12V3JYW8uMnPVP4JCyaMmuScSo5MKmtuh6MOEzBjM+u4mBUvX5DvxjCVy6v6TZ3qpwe1pvM/XtxV7Hg6ufQKmzzKgJ/mkEnMfOaTber28b2kx9e7G7NqPUWWYE/1gC74xcNSxSO9LW1vq2Ez6jiN21QKmzzAj+sQT+v/jTBjt/MVa1tqS+Re2uBYpS9ZUZwT8l5ua887KizHv9WWxIrq0zIZ89kKNvUbut42hjmRH8UzJ8+PMDEyQA6bTkCQEASOAg6QHpCoYC2E6ZpdpFzgMi+yW4ALhAFaXaeeFgm1XY6gMOUWapdlHw1hbgfKD0UqpdBP6jQssYfuB6oBQp1S7ybwUykyyqsGAOAKcDBW+EBKDPQMHaAiBQBLwREoCci3m8ERKAjEDBGyEByBEoDN4ICRAgyo03QgJQKf8A4AW5sn0L2OkAAAF4dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtc3VwPjxtbj4xMDwvbW4+PG1uPjg8L21uPjwvbXN1cD48bXN1cD48bW4+MTA8L21uPjxtcm93Pjxtbz4tPC9tbz48bW4+MzwvbW4+PC9tcm93PjwvbXN1cD48L21mcmFjPjxtaT4mI3hBMDs8L21pPjxtaT5OPC9taT48bXN1cD48bWk+bTwvbWk+PG1yb3c+PG1vPi08L21vPjxtbj4yPC9tbj48L21yb3c+PC9tc3VwPjxtbz49PC9tbz48bXN1cD48bW4+MTA8L21uPjxtbj4xMTwvbW4+PC9tc3VwPjxtaT4mI3hBMDs8L21pPjxtaT5OPC9taT48bXN1cD48bWk+bTwvbWk+PG1yb3c+PG1vPi08L21vPjxtbj4yPC9tbj48L21yb3c+PC9tc3VwPjwvbWF0aD5/SToNAAAAAElFTkSuQmCC)
Energy stored = ![fraction numerator 1 over denominator 2 end fraction cross times 100 blank cross times 2 cross times 10 to the power of negative 3 end exponent blank J](data:image/png;base64,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)
= 10
1H = 0.1J
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physics
A particle moves from A to B and then it moves from to as shown in figure. Calculate the ratio between path length and displacement.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOkAAAC/CAYAAAAb4PsJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AADceSURBVHhe7Z33c1zXlef3b9nZ2tn9Zbdqa2d3an+YmqmpminPzng867EtzzhKsizZlqwcqGDLSdGSJZGSmBOYiZwTkXNOJAACJEiAYBKjmJR49n7O6wu8fniv0SBSd+N+XadMEk0K6L6fd8I999z/IE5OAd29e1e++uor+eKLL+TOnTty48YNuXTpskxPn5Pj4xPS0XtMyuu75FBJk2Tl18muvFrZbWxX7qztzqubsV2hVm+sQXbnB60x3Aqa5lhWYbPPWqKtqNVnbaG2x2/FYdYesI5oK0lknYmttGuOOUid5igI6c2bN+XKlSty9tx5GT95SnoGhqW6uVtyK5plf2G9AdVBGmehcFoLAdNvDlKnZGQh/fLLL+Wzzz6TW7duybVrV+XCxQty6vSkDB47Lo3tfVJ8pE0OlzTKvoI6yVJIa3zG760ZKK3FQVpvIPZZImALrPkgnTE/rFHAGkCtxUHr2cIhDZoBMClIrYUAijlInZKSgdSC+vnnn6s3/fTTT03Ie0mmpqdl+PgJaeselMqGTskz3vRgUb3sMd50V46B01oksNaC0OJ1/cCGQWssAOpca5bdBlS/hUNrrAhLDGycxzUwRlkksH4LhRULgdVnDlKnufJB6g95r169IufOm5D3BCHvMalr7ZGSmjbJLm1Sb7obIFcE0kSgOkid1oJ8kPpD3uvXr8nFi5+YkHdKhobH1JseaeyWgspWOVDU4IW8cwANWgSsCYENgdUfCueHwYoZSJMKhbEkIPWbCYH9Fg9p0AyIiwDWQeoUqVlvSsh7W26YkPfy5ctyZvqsjJ2YkP6hEWnq6JfSmg45ZHLTLAAzkKpHTdoioI0ClmKTtVBgjYUCGzP1ri1zbAbUOTlrDMr5LA7aBXrYMPMB6yB1itSsN/3C86Ya8l6V8xcuyKnJKRkeHZfO3iGpbuyS3PJmE/LWG1AdpA5Sp0UL8O7e/Sr2u2j5Q14KSLdv35brxpt+cumSTJ89a3LTCekz3rS+tU+Kq2OV3sJYpdd41J02P01kkcDGYI0BGw9qzGYgDYA6k7daC8LqhcF+YOeEvkGbD9ykIPVbAMqg+UJgB+kaEqCdOnVKampqpKurS6GLEoBa80Le2cYG9kzVm56elGMjJjftGpTK+k7Jt5Xee4bUbz5IfdD691/jvaqBUc1C67M5kPrNQKoGuN6vZ+EMwDsfqGEWBy+2AA/rIF17OnvurBw+dEiefvIpefedd2RsbEy9ZJj8kGK2gESV9/r16+pNNTcdn9BKb31rj8lN2yRHK731BqjFQur3qlGQWq8aAqbf5qsGz5iFNMIcpE7Lrda2Vln3wjr5zre+I088/rgU5OfLxYsXY1+NVxBSvKkNeWe86XnjTU9NytGR49LePSg1Td1SVN0qh4obtF2Q3DRuWybM4sCMMh+kfpsDazAE9pv1tD6LgDWyEqxbNpgf1nmgTQpSvwVANeYgXSO6ayDbk7VH/v2+78pTTzwpL697UX7329/KQH9/7BXxCoPUhrzedsx1bW6YPmNy05Nepbels1/K6zskp8zzprsNXCsHaezXYYBqSGygxPx/PgdS79dZhdZ8gM6B1P9rB6nTIgVgF86flzdff0N+9P0faMi7bcsWeegnP5HSkhL9eiJZSP0FJLzpVeNNL5jcdHLqjIwcPyHd/cekrqXH86YljbKXdkEAWxCQUWbDXr954Cq8ccAGzYLqA1QNaA2YUfusgUpwNLBBMzCGmQ/W5FoOHaRrRrT0NTY0yCsvviyv/vrXcvToUSkpLpEH779ftmzeLJ+YkBcQE8kP6kxzw7Vr6k3PnjsnJydOy9Hh49LWPSBVjZ1SWNUyAyoeNRy8xVoUsGGgxiwOUgsqoS8WBapniRsiwmDFfJD6LDlIPXOQrgGdmZqSDR+sl5fWrTNwFqs3HBoakt8YYF/7/R+ktaVF/yyRLKRffeV50zvWm169qnntmTNnZGz8pPQNDktTZ5/29RZUNMuBIuBwkAbNQeoUp77eXnn0Zz+Xxx97TJoaG7XoMzgwIO/96U/y80d+Jps3bVbYEglILajkprOtgte1C+m8CadPn56U4dExE/Yelca2XimvbTP5qXdKZk6Dw0JCYPvaRBYC6yy0fgsD1Zof2ATgJiouzZgBdA64EcD6LQReB2mGi0IPoe3/+/o35Fvf/KYBcpNkHz4s27ZuleeeeUa+9nd/L88/+6ycPnUq9jfCNQuptx2j3vTObbl584Zci4W9NDicmDilYS+dSHXN3VJs8tPskibv3KnxqDOhbyhoERb22qDNvN7CGg6s18UUOyYXCqrfYtAquAFQDaBzLSx3DYIatBicQXOQrh2dPHlSPtzwoXz329+RB3/8gLz/3nvy8Ycfafj7q5dfln/82j/IQw88qDnr7VvzNzdYSGkV/Pzzz+T27Vua8+KdL5iwd8qEvSdOTMjgsVHdljnS2OWBOnNSpjZ6/9QPpt/CXhu0mdc7SJ3SSISmZaVl8sJzz8vLL74ke3ZnSXNTk7S3tUlXZ6dUVlTIKy+9LA//5CHZ+NHHMnZ8LPY3o2VDXn/YaxscCHup9k5Nefmp3ZapbuyUoioqvg1zz50GLQab3WOddwsnzGL/Rjyw1vzAerAqsH6LBNVaAFiFFvNgjYM0zgyU84TBflBtJdhBmsEiZ3z3j+/ID773fdm7Z6+cMfAQmuL5AIuqbklRsTz9xJOas1ZXVcf+ZmJZrxrckrlm8lrC3nPnzsnpyUkZPT4uvQPHPFAbOqWwukUOG1D35Xv9vRr6RgAWB6nfgq9PxvTvRoAas3hIrflhDQIbgNRns/lqAmAjtnD2zJiDNOMFPKOjo/LU408YSL8nLc0tsa/Ei1z07Tffkn/5+j9rGAxsAJhIFlK8Kf8dW0QCfvZOP/nkopw1+empU6cV1P7BYWlVj0ro2yI5pY2ynz1UBdVrH5wJgWMwOkgdpBkvPGZtba2sM6Hub199VU6eOBH7Srzwhnk5ufJD421ff+11mZiY0D9LJAspxmv9nUifmrCX/BQvfe7stJw+fVqOj41L36DnUY+Y0BdQs/GogMoQsyCI92JhcIZZ3N8LAKv5qq0Cx8CdA6o1H7AKbQS4BtTZMDgBtNZ8wNoQ2EGaoSKcHRkZkdojR6Szo0MPbEcJMAsLCqW2plZzSjxkIvkh5bU27LVjVshPr5j89JOLF+Tc9LScMqCOjALqsLQZUGubu6Sspk3yK5rkcGmDHCis97qTLLBhcFmLgyzCwv5emOnrLaSzwMZt2Vgo52viV1gNlJFTIowprF5xyW/xkFpzkK5ZfWWAAsTLJne8V4VBaotImp8aUPHkFJIumv/WGQPqhAl9j4+dkKGjo9LVNyTN7T1S09Qh5bWtUljRLNkG1v16FjUW/mZHnKIJAhlmYX8vzPT1c8PgOEjjwuAwOK35vWoIoJjPqyYHqWcO0jUmoMk+nC0V5eUK1WLlhzUu7CU/veqBytbMuXNnZWpqUk6enDBe9bgMDB6Vju4+aWjpksq6dimsNCGwyVU5NL7bgBoKVdB8YEbmsFjY38XmvNYPbDy4cw6eR+atQWAjoPUBGwdpiDlI15AAhhbATR9vlH179+oeaqKD38nI71X9Ya8HqtfowH+XYtL58+e0fZCD52z3DB09Jt29A9JkvCq5KudR8yvxqo16eBzPuregVpv0bRgcVmTClgbSoEVBan6dEFKfJdyywRykTjEBEcfScnNypKqyUo5UV0uNyVenTSi6GAUhxZvGg4pHvSpXrpCjAup5/W9S+R0bPyHHhkdNrnpUOnsGpKWjV+qNZ61uaDc5a4vxrk0aBh8wsOr+qgFn5SGd9aiRYTCWlFf1QTpjtqBkzUG6JkUoytYIfbs02ONBLbBDg0PzFoqSlc1Pgx6VbR0tJun2zCeaE7NFw14q4e/Y+LiMjIyqZ+3tHzRhcK80tnZJVX27FLFlU2ZANZ51zuykULDmWkKAw8z++3H/jUTAWrPAhsGKzQesMQPqrHk5q4N0DQhI2ltbtcNo+NgxDXHJTWkFrKk+IuMGEjzhYgWkFlRbSAqCilfVgpLmqV74Ozl5WivMJ8z3wd7u4NBREwb3a3HpSFOnlFFc0jC4IRYG18pe41mZpaTgWrBmgIo3B6lTSgto8Jwc9K6rrVVo7J+fN5AUFxVJeXm5dgstFlQb9lpQbaNDFKh4VcLfs2enZWpqSvdU+V6Pm3z16LER6RvwwuBmEwbXNXuetfQIwDZpQwRjWrx7aHxQhQC2KEgD/5ZnXreUZwbORKFwKKzYfMDOwuogzXCdPn1KGurrpaqqUk4EGhqAqKPdLPzSUjk6NDTvcbVk5Qc1mKPafVQKSoS/tBFevHghBisVYAOryVdPnDCwjo3J8PCIetaevgHp6PLC4CON5ns2YXB+OaDWG6/qwTMTBoeCNdci4Q3+Own/rXgPa4tMs40RCwQ2ZK/VQZrBAo7mxibJy83Vaiq/9wuQKOa0mVCYMSpMD1wqRYFKqA2oFJSCXpVcNQ5W84A5dfKEjI8d18aMIWDtHZBW41lrTRhcWdcqRVV4VS8MZvtmJgwOBSreHKROqyrgODt9VirLK6S8rMzA+EnsK/ECpJHhYcnJyZG2trZFb8lYBUNfC6o//LWw4lX9sNp8lTD4zNSk8awmXzVRwPHjx2fC4I7uAWkxOWtdc2csDG6RggoLbJ2viT8GUwhwSwOptRBYjS0sDPbDasxBmp66eOGiLuKgVwyK11RWVBpIyzXP++xOdOMCgHR3d2tuyv8DUFCARqsfc42SkYXUD+p8XjUIK54VWKfPTMuk8azsrxIGj5qogK0bGiK8MLhPmgiDG9pMGNwsuWWeZ8WrWo9qt240JI792Rw4YxYJb9I2C2mUh+UCZWvxkPp/73lVB2kaiEV++fIl9XQcOWtqatJFHqXbBrL+vj7Zv2+f9u0mo5s3bkp1VZXO4iXc5L/pFx7w+Oio9BiIJwz0FJoALkpBSK1ZUK1H9XtVCkthnnUG1mmvwASsExMnTXjuC4MNrK0dPSYM7vBVg72mCMJgQmBmLWk3Uwym5YPU71WjIPWdZY0D02+eR3WQpoFYpFRnH7z/AfnmN/5F9mRlzYHICgDYZqFhgS0WFncyuvvVXRkaHNQme8JKgPELqJiLdHD/ftm5fbteVUH+CHRh8kMaBqv1qH6v6g+B5xaXvEaIIKxaYNJq8LBXDe7u1w4mzVnjwuAAsAae5YPUbyGwBoCdLwx2kKa4WLRUZx9+6Kfyn//jn8n/+d9/qZBGidezH5pncszJ06cTers43TVh75Wruk/Z3dWt+5d+8e/gSQH0lZdekk0bN6q3DsJs5YfTyv9n1qv6Q+BgvurfsrGwBj3r5OSU8aqnZHz8hPneTRhsYO0nDO4dkPbO3lgY3C5lBtb88iY9dG7PsoZDtRyQ2l9HQeozB2n6Sb3owUPywI/vl7/967/ReUS09IWJBQ5kRYWFepYUj7RQAUNfb58MDw8rJBYy/h9PxgNg/fvvy6aPP56ZPLgQ+UHFLKxBUK1ntSFw0LPOhXVSPSvnZqlS2zC418DaZsLgOq0Gt0lRlclZrVc1sNJuuCe/xttrjYNrOezevKqDNMXFQqQAtH3bNgPHB7J182bp7emNfTVe42PjeoC71oSihIcAsFABDP9N9k1HR0ZNrjrrKTmCNm4AoCmiIC9P2lpaFJ6FKAipBdXCakPgIKz+MNh6Vn/OSh6N958ysDJtAlgJg48dG5H+gSENg+lg0mqwgbWEfVZtimjQvVa6mLQ/ONEJnFDw7tXmA3YWVgdpiosuHGYP9XT3aOvc8NFjcv7c+dhXPbHAWbTkoAf3H9CcdDHi3wNGrkekK8mGzEAEMIDBts2gyWEBgz9LVmGQWrOgRnlWGwInylktrHhWDYMNrITB5Kz9g0NaYCIMtk0R5TON/B6oM8fkso8suDliYeYgzQixGAGFjiCKOXYhY36xgJn+V2ZeRzUXD7NY4Z0IefnvBv89vg/AJLzs7e3VIg5/tlhZWO3PGQar9aoLgXU2DPaqwV4HU7+GwfXGsxIGF1c3xxr5veNxewysbN/M5KZ+SH3Q+vPXmdcu2MKBtXmqgzRF9YVZmJ3tHTqS86hZVInCSjxbfn6+FBYUKFws7sUKKMj3KCIBavDBgICir8/LX/n+wl6zEPkhDYJqYbVe1R8G+wtMNgSeWw02YfDpCTl50muKoMDU5wuDaw2sFRoGN+tYF23mJww2eSv7rXHwWUiNBQGNe9092Sywti/YQZqCApBp4wWKi4qlurpaF2KUWJgdHe1SYADFm9rQdCkECMdMeD0wMKCLHkj8Ahi8FVszLHxevxgFIbUGrBZY61X9YTCwWlCtV7WeNb7AFPOsJm2gGsyECO1gGuTUjQmDu3qlua1LajUMnm3k5zxrXGHJQep01jz5W5qbpb6uXo+RJfJQeLoD+/drmEsTw1IKQK5fu64hIudPg3OR+DrQkJ/ygMBz8WdLLQsr5veu/jAYWINhcFiBCVhnc1av3XDMPGBGRoZl6OhR6e+PNfK3dElVXbsUV7VIbpmtBnvFJdtuGGXh8N2LebA6SFNQ9kB2v/n/KO/EImXBVVZW6msnT0/GvrL0Yr8VCPn/oDdFtAtSrCL05XtaagUh9YPqh9V6VX8IjGf177MSEfhh9arBXhhMsUwfSHhWjsjNhMEG1mqaIhp91WAvDMbDzoDp87Bzgbt3c5CmkFh8FGHY4qBFj0UUJRZffX29FBcXa5X10+sL3xNNVkx1wNscM56GxQ0sQQFApwGZ7wVIEnn/hSoM0jBgk/GseNVggYnUAli9DiaTs2pTxIg2RXSxz9pJb3C3CYM79ORNcVWz5OkxOUB1kK4pXbl6RSoqvFMrLJwwr2VFqMYwMSq/Nz69saRQBAUEgErzPfknEAQFHGwXkb8SogPHcisIbxDWRJ7VDyu3oJ+zsGq7oXeelaYIzrMODZkooX9QOrsNrG3d3nnWmhbJN55Vz7MyLG2m1XBuKBwG3nxfV4sB7yBNEbGAuIGbCi0HsVl4USK0ra6skuLCQg3PVkIAgJehFZB8jsXvF98vUNAA0dnRaRb9uWV9cCA/pJgf1KBn9cOKZ40Lgz8xsF6IwWoiBdsbrJMizM9sw+CZ86ydvVLfyhE5tm5aJM9fDWbQdyBvDfOwDtI0FIubljsAJWeKEouOJvh9e/aakOyYLsqVEgsdUHt6ejRMDBNw9vf1mxx1WC5fWvx+bSIFIfWD6rdgGMzPAahhYXB8NXi23XD2iJzJWQ2s3TRFdPWqZ+XkDds3Ngw+XOK1HM6cZ3WQpr9YPM1NzZKbnaOh4pfGC4SJM6ETJyekpKhEt2cSwbxcAs7uri6F9c5tE/YGHD4w8JqO9g7d300Usi+X/MCGhcHzetZEsDKDCc9qYOXn6x8YlK6ePmlu75KaWCN/QWWTCYO9+UtUg+limoHV/H9SgGIO0tQQT3Ya2ivKytWLsliidOH8BRPiFktRYZH26fJ3V1osahYrueepiVPmgTLXkwMCi5iKMK9d6e/T71mtWa8aVmACWAur9axhWzc2DOZnmohVgznQwChS2g3bOnp1Ij9zg0uqW+ObIvyjXWLQOkjTQNzLwgeOB6Wiy0JhQYWJRQXMO7fv0KNry53vRYnvj4UNpBSSWNBh3wteiv1THjwUZFby+/XDaS3oVf2wYkFYg57VXw2e2Wc1n52dbkgY3D9ANXhQq8GNrd1S0+jddcPJm5kwWBsj2P+skZ0xmwNnwBykqygqigwBo+eWBR0lFhdQcPMZWzMs+tUWi3VoaEgroCzmMNGczyQH9lBZ7MCyWgrCGgTW71mjtm6sV/XDimcFVnv4nLEug0PHpLdvUJsiOM9aXe+Ndckrjw35Nh51Zy4N/F4Tf3CkS9AcpKskFgldQlRz2VtkMUSJrzEfd/++/ep5U0F4IRaoDWnDdNt4JvYfyWHp7wWC1ZaF1QIbFgYDqvWsABtWYLKelTDYelbeBwsrP68O+e7plxY9zxq7QS421gVYdbrhTBdTDEoDrJqDdHXFAuFDppoLfOfMh82fhYlFQhNBfl6+HllLlLOutFiwbMmwIFnIwZ+B37PQqfa2m7CXBQ0Qqym+J7+FeVVg9eetfljnKzDZnFWbIvQ8qzcpgt5gtm4adFIEwHonb9hr1WkRsf5gALW5qMtJV1HMuuWyJCClk4fFECWqicwV4jQMi4BFlCri+8ab0MZISHvLeJ8wsZBpGSRy4PWppCCsYd41qsAEsGEFpqBnnZkUcdRriujq7pOW9m71rhXkrJxn1ZvPjUc1nlNDXwfp6okPu7+3Vw9nEwZGiYXDE5vWv107duq5zVQU3yezjygQkWOzqMPEA6a5qUkGBwYTFshWSxZWLOhd/V7VHwbzc/hhDRaYbAcTQ761GjzuwcrWTa+vkb+6nmpwi+SVeR1M3HyuzfyxSrCDdAXFh86RLmYU1dfVJezNZTFwEiY3N1fvFL18eWGzhFZSLE4KX3hTLoIKEz8PIWBXZ5eMmBDw1s2lPbGzWPkh9cMa9KpBYP2w+gtMc2A1npWxLl4YfNxrivCFwToposE7IsfJG1sN5hC6g3QFxROY86Fc+8CZxkSFFD7gQwcP6ihP2tVSWSxgKrmEs4TvLOowsaDJT9taWuPGsqSqLKh+z+oHFlj9ntVfYPJ71rlNEXYi/5gMj3jVYA2De/qklTlMsTCY86wck3OQrpAAklCnqKhIvShP3yjxNG5tbpGc7GxpNt70jlkIqS5+HoaX0YDPwgwDlUVP+EdbIa/D46S6gp7VwmpB5XMNC4NtkSksZ+XwOZMiyFnZZyVnpSmCNk86mLiflQITWzdlR1odpCslPgg8aENDgz5h+dCjRK66Y9t2qaut06dyotemili8fK/snZI/8+swsaBZnA0N9fradPCmQfN7VX8IHOZZk6kGEwZzKwA5K551wHhWDYM7CIN7HKTLLT5QnqRM8iN0JR+JEguWPJVtGRro6eNNN3FyhHOlgMiCDRMLmOaMttY2PWXyWYKwf7UVBinm96p+zxosMFmvOl8YPLN1Y2AdHRs3sI7IoMlZe/uHHKTLLT6oro5OKS8t0zY6PqQo8SGyLUOYSziYKCROVbEYybfwkjxwWMhh4mdjfnBTQ6NWhaNel6oKgzYRrEHPyoM7CKt/64ZJEV4YfNxButziAyjIy1fvyIfCBxkq80GTn+zetUsvTeLD5MNPN/HzsQAZRTo0OKQLNUosSLZu0iU/9SsIKRYE1Q8r5s9Z/Z7V5qzxWzdeNZjD/Q7SZdQl88ZT+OFYGVXNRN5i6vSkelvmFdEcwIeermJhnhg/oQ0MhL9RhS8WLYuQ92i1jrXdq4KA+s3CGgQ2zLMCa9g+qw2D8a4O0mUSHxRe4sC+/RrWfW4WbpT4MI9UVcuWTZu18plOizVKLEjCNbZlmH7I4g0TCxSv29FmmyFSu5CUjKKA9XtWP6zWs/phtQUmgHWQLoP4IAhVKsrLpaS4WEOYKPFBHR8ZldzDOVr9Zf8wU3Tu/DnpMQBSLMNrhIHK4mUxMgicpo0LFy7GvpK+8kNqQcWCYbAf2LAw2MLqIF0GkWNUVVRKaUmJVmgBMUoAzHlSwtwT5rXpsCearFh4jAGlCZ9iEos0SlR5OVNLfrqckw9XQkFIrQXDYAstsEYVmIDVQbrE4sOgl5Xe3NojNfqk5M/C9PkXn+ue4rYtWxVqDXMjXpuO4udm0fWZn5FzpXiJKPG646PHdYwMlWEWbqbJwopZ72qB9YfCwIpXtTmrg3SJRR5WWlyiOSZeJJHYKzx06JCUFhVr2T0TxYKk+MGgb7pq8A5RYlp+h8lhW5patHCiD60Mkh9Sa35QLazBnNVBukTizebpxz4nxaKJEydjX5krXks4k2PC3G1bt8r48fRrWliIWIRUeTlTyiA1fv4wsUi1GaKjU/eUueKRhZwpCgKKWUit+WG1ntVBukQCOrwFhSK6i/h9lK6ar9H6d+jAIakorzB5R7R3yRRRBLGjPhm0zYIMEwsTj8tJIeYQZ2LYG1QQWguuhdVBukSiQEToSkX3woXz+gZHiZB4985dUphfIGemmFSf/tsO8wmPgGfs6+nTSROEc1Gi8MZeMVVhohMWLwLYM2emNOdnw59/MxPkh9Sa38M6SJdInHChQsueXyJ9ev26VjHZE2UI2VoSDy6uUmxva9f9v6gHGQuTXIz81VbGeS2hcF1NrVSUlclQ7M6ZTFAUpNYcpEskSuW09RHWRYnQhVB4b9YePa6W6LWZKrykDukykAFqIs0u1Lu6VdXU1GSij0IdaUqDBF/LVPmBdZCukPAE02emJWv3btmzOyujmhYWKpoXKCIBa6K0AF03+TupBIUkDioM9ntDudnk58GYaA863eUgXYR4gtsukfkWmRULk/Oh7J/iTTN5cc0n9v8oCrEFlSjsZYEydoT3i9GhTKgAWrZn9JC0+TfOTE1pbsprM00O0nsUgNL4TPWR6x7IjRIVQazwBBs/+kivk8ALZHKoNp+AEi9INZybyqP2TlmgVMnJRc+bhxxTFoePHdXGCDqTmKlEEQlQb95Iv2N9ycpBukCRG9XU1EhuTrbuh+bl5Oq+XpRHoAgC1Bw/27Ftm47IcPJEDt/W1qZ7p/NFFteuX9dhZzTsk89S3WWagR0nyrZOpspBugARVlG02LVzp55wIWSjopuVlSUtzS2h1UY8RlFhoeahtMdlSkVyKcT2Cj293HFz+tTphCErHrOlqVlfd8OEy4TMXJjEe0rfL3+WqXKQJikWFAuCESi7duzQPU5a2HiSMwaEp3sw7OV4GrkTXUXZhw4nbHBYq7py+bJGIoSvUWkDqcHRwSGpqT6iw84oJBGRkGrgTa+ZcJmIJVPlIE0gPCeeEO/H4WSGVO80gLJ9wskVuovIl3iq85pgnsnYTrwoYJNHJVtkWkvi1A8ekZMypydOye07c0HFwxLe8pDs7enRELnWpBxNjY1aPOKgdCa/tw7SCAEdHS8sBBYQg6r/+ObbsmXzFv1znuDkR7T3UbkNCmC5AW3DBx/o5AEX5oYLAPGg5JXM46VyGyYemBSYeK85jMBDr6qyUm+k43PI5D1nB2mICJ0GBgbVU5aVlBqvmW1C1i2y1QC6a+cu8+cl2oPKwW6GQbNB7xeLjvk++/bulYMHDugpEKfEOnfurHSbsJfiEDCG5af8GV8jehkdGVWwW1tb9SoOilBfZNipGSsHaYjoDCLn3Lpli3R3dkllebls2rhRJyccOnBQ/5z2tKitFMYz0lW0f98+Pci9FprEF6s7Jsydnjojvd09CuBnn899zwhpCW3Hjo/pDCVmSAFnS0uLnstliyYTc1MHaYiAlJxz08ZNuiCAsaO9Qyu05JeEv1OTU5qLBsVWAiHwxo8/Vk+cyjNlU0t35canjPns0VA2bO8UT0rYy0Hoc2fPaccS/c91dXVSW1urnvX2rfn3rNNNDtKYeEp74xSnNX/kWNXhQ4eluLBIK7RMDfj4o4/k0MFDM1VIYA6GZQMD/TrYOi8vT/+eU/LCC9KYYO88jZrkQPRCisH7azuXKisq9XaAqxl47M9BGhMekKptvoFroH/A5Ejn9Sn90YcfatjKfaJUdsvLykOLQMCKZ80+fFg2fLBeR4Bk8rbAcgkANYRtbpGTJ06GphN4U7azMN5z0ovGhkYt0FGNzzQ5SGMC0uLiInntD3+QDes36IkLtl16urqlqqpKQ9eKigo9koYHDYrFwcLKMiFxaUmpXAkJ15ySE+8lD0qKb1Rzg9sr/J5ohoouZ3MJkbULaXpaAc40OUhj4sNlCNb2bdu0MLR3zx6tGlJJpCuGEAxoo7ZSRg28VH/pQCJsdl703sVDkAIR84qBL6xlEA8LpOyTEu7y+kyVgzQmns60nNFHSvhUXlame6L8P38OxMEnuhVPfg5yb964UU9shIVoTgsToNJdxOVP9EWHvafWo9IQ4f86qUewVpDOcpDGZCuHVhQwao/UakECcKPE4iCXpXme5oWozXinhesyntKAShRzIUlPyedIrkq7YaZEMw7SENkPl3I+gEZNEOBpz4wienkJk8mJnJZWHI6ngMdVgOw3z+cheWiSorAdQ4STCVGNgzQg8h8GZt284eWegBhWKEJAiac9uH+/bqjbrRmnpRMHG2huIO9ke2y+xhCgpHZAmMwWTSYcanCQ+oQH5QOmT5cRHfOJoWMfbfhQD3Lz1M6kPChVxGcCaBwQ7+nqmRc6PgM+C07JsG9Kn3W6fy4O0pj4ILkvkw+WExacYEkkctbCgkK9Np/tAqflFW2AdH3RXJ9MmyWVXy6AYjIh2zjpnJ86SGO6acLc6upqbWZgMz3RqRVCMC4GJg9lLAq/d1pe8XmwFUbLIAcb5hNQcpUikLa3tsnlS/GHINJJDlIj2s+YB8vMouampsgcFAEzoRR7ovTxJrqEyGlpRT8vA8nIT6kZzFcUIjqi97qxvkFGhkd05nE6ykFqRF8ulyxRRZzvXCJTAfKNF83NydVpAomAdlpacSCcKAdIk5mLhMhhKSC1t7Vpd1LUXncqa81DShhFrsNAMZ62iYoMfI0TFxvWr9fD4C7MXVl9dfcrBZMuIz4zjqbNJ7wtD14ewBT60nFbZk1Dihdko5zqLDdNcz4xSryWxcF2y6GDB+e91tBp+cT0enqqGU6WTLrxmfns8MDMpCL6YfJgOmnNQsrTlO6g/Nw8HcFBvpPoCUs/Lv28e7Oy9ANP52phuosHJnvUFO0IZZNJOQhzmfpAdxgFqHTypmsWUip/lOjLS8vUQyYSeQ1zdGi857Igl4euvm7cvKFREBMZNIRN4qHJbF6mO/JZ0pWULg/aNQkpT1FK+Xk5OfqhzdcpxEb6ARPmlhQV62S7dN8czwThGfGmnJLBQ3JLeDLSEaLt7dqRNF/0lCpac5DyoXj3stTqGVFOvCQShaXCggI9/A3QzoumjgCV0LW1pVUmT0/G/jSx+PzsBVB0I6XDFtqag5TQlWsiSktKtPCQqGmBy4E47b/H5KLl5V7rn1Nqic9kcGBQJ2Hw8E0m7P2UfmDz2dNvTdib6pHRmoKUsJZRnIzZ5NxnopwEjzs6OqJ5KPOKGEbmwtzUE58hWyx9Jj/VA+IJHrp+cUicLRlSGbZyUvmzXVOQMj2hqrJKJy7Qe5tIQMm9Lzt3bFdv6gBNXdHLy9G0np6e0HErYeI1HEFkW4b6RCrvea8ZSPGi5KE5h7M1j0nkRcGxqbFJr5WoranV7Ren1BUPUB6qw0ePxTxj9H63X0RL5KV0I7GtlqqgrglImbjAADFGodAxFJw47xfwMtOVsZzbt25LuiDhtLoC1LPTZ4XLszh/+sXnXyQV/QAm7YKEvqdSND9dE5BSwWVAGHeHzHe5D2V99k65kZtQKBOnz2Wqbt28JeNj43plP8PLkznSBpQ2P6X4RLU31bZlMh5SPVfY2qpXD9ISlkh4UfKTjR99rEAnqvw6pZ7ufuVNwR8aGNTrKuY7IG7Fg5gqL6NB2XNNpnF/JZXRkPIkpRGbKfR9Pb0JPzSeqFOTk9oiSPsfuY1T+gkvyAFxHrZEUMl4U8T+qd7sZh7oXLOYqGax0spYSO+a/+FFS4tL9YD2BYaJJcg3KCwVFxV5B7m7uuXqNTfcOl3FVHsuylJQzYM3WdE2yLUVeNRUugkvYyG9fOWy9uYyTZ7SfKLWP8Ja7h7ZsX27d5A7yRYzp9SVHhA3eSZ7pxSHks0zKSrqwXITSQF7KuSnGQkpoSvhKhVaQAXQRFU7Dn3nZGdr+x+dKKkU6jjdmwhzCXcpBtFvnWx9gVvwGM/CwXLaB1NhWybjIKVyy6l9Cj9c9stwsUQiF2mob5CPP/xIgU42h3FKbfFQtltvXR3JHRBH/D0KRzysacI/mwLDzjMOUopDVRWVUlRQqE0LibZQAJp5RTk52XpBMOM8nTJLbKlxpA1vupAZR3Qj4U1ZH4n21VdCGQUpXpHr8vJy86S6skpuhFzy6xf7Y1yZn5WVZbzvSedFM1B8pkxy4GJnDlQkm2OylmgxJD8dMnntau6XZxSkhLmEuFVV1drmlegDuXz5kraDUSxilKfLQzNXt034Cmh4VLwiACYjIi08MIVH9lFXa988IyAlj+Delvq6etljvCInXeZTX2+vXg7MJUuU2xMVlpzSW18a2C4ar8g+KFX8awu4OxbAKSABKqHzalR7MwJSZrDSrFBaXCzNTY2635VIPBHp4928cZN2ISVqE3TKAJkH8BeaCjEFv11hW4gAnC2Zsdgh8ZV+oGcEpGenz0ludo6UlZToaYhEB39v3rqpVdwD+w+oF+X1TmtDjE6hWQGPupDzwWzhkdcqqCb8XenaRdpDSuNBT3ePzs3lOoFEuSWhCjnGtq3b9PV8aC7MXTvisyYnJdUhRyWUTVaASajM4DMKjitZw0h7SGn9Yg5uW0trwrm5iDCH86H05nZ0dMb+1GktiaIRVV6KSNx9emcBXpEuJo7B0ShD5XellLaQ8mZzjyj9ttmHD2s4kkg8RZuamiRr925pbm4x4U7i6yScMlNEU0RQgMpspIsLTHfoBwdSikmfXv9UI7lELadLobSFlJCj9og3UIy5uYneKADlyUfr3+6dO/X6vNWo0jmlhvjsOenCCamFDspmv5R2QwBvb23XCO70qeW9zSBtIeVJSG9uzZEj2saVKLcEaI6gMYCMTe3lfvI5pb5YMxxpowGfkzLJ7p1+9pnXMEMEt/799dpO2rnMqVNaQcqBXsrgJP4MCSsvK9dKXSKR8HP0iO0Wqrmuq8jJClBpwGd90E6aTBHRQkor6au/+rW8tG6drsPlLCSlFaRHh47KW6+/IU8/8aRs37pVvWkir0gYw94Y41AYQDbfdRJOa0usD1IfenTxpslMZPiK6Q83bpi8tE92bt8hr/3+91JivOpCKsULVVpBWl1ZLd/4p3+SP/+z/ySPPPSQnhdM9AQjf6Bpgal/fX29OuzayckvzozSQsrWykKaHPh7XDx9pLpaU6jlnI2UNpAC3F6Tg/71X/2V/Nc//y/y2M9/oW2AUU8/zgUyrpG/k2286GqfZHBKXV2+dEm38tgHZT0lCxuvA1am6ONdlyvkTQtIyRV4yq3/4AP5Z+NJH3v0UfMEOyIXzkcPQqZEztZMQV6BjI+l11V3TisrWgZZX0ODHBAfX3AjPesTQJPJae9FaQEpbwAhCdc9bDO5KNP/mKsaJd7kxvp62bJpk7S3tS/bm+eUOeJhT6NCV1d3yl07kTaQss/JaRVi/0RhBaV0Wr4K8vN1D/XUxKnYV5ycEsvzpoNabFzIAfHlVtqEu2ydJBOyXrl6RdsE6SzizXZ7ok7J6vad2+oIKAQxbTBVlDaFo2SkE+I6O2X3rl1SVVWV9Aa1k5MVqRLHFzGKjalwjDGjIO3t6dUuJC0qrWADtFPmiGiN/lwm2TPfiAf/aisjICUcpmOksqJCdmzbrk0PTk73KkA9NTEh3UwLPHt21XcGMgJS9ra4HoAG+vq6Oj1J7+S0GLF3yn22jAS9tMonpjICUoZE7dqxQ/dFOXG/XJvKTmtHrCFyUlIoOotWs+c77SGdnjojNTU1cmDfPm0TdHJaKnnTAsdloH9Aw97V2ilIa0h52jU2NGg1t7O9XVu0nJyWStQ6WFN0r1HtTXYK/lIrbSEFUMZfcH8L41BI9J2cllqASpMDvb3cEbMaWzJpC+mlS5f1hMvhQ4d1Jup80+qdnO5VNM/Tlnp0aEibHVa62puWkPI0oxmau0SrKqtSYsPZKbNFPgqknD0F2pXs7U07SHlzmH1aWVGpvbm0/jk5rYQYdsdxNmYcreSViGkHKd0ge3ZnyZtvvCHVlZWaizJU6ox545zdu7HwMKqY7BHSacM5SWeecSsCNRBGgdbX1+v85pXypqsKKWEqvZLXrl7TPSkAtMZ9HXdMiOF/I6wXffvNt+Tpp57U5oX29nat8DLzyNm9G00gdbW1egyQMTO8z4ynceYZs7Voum9pbpb8vDyF1eamrGMaavCuGL9eyhRs1SDlh2Dk/57du+W3r/5GnnnqaXn26WfU+PVrv/+DHjfj6W5FRZffUzA6ePCgNDU26tiLjo4OvePD2b0bD7u2tjYdysWCJEKhWOLMM67GpGmGwXfdXd0mepvW9chAdt4zplHSTHP44CFNw7hVYammgawapIxD4YdhDMo//9PX5Tv/+i15+CcPyU+N/egHP5Qffu/78stfPKrVW8INvCh3vNwynvfqtavaWUQTPZe9qvFrZ/ds9r1kWDShLud2rzmbtWvX1Hhfbt28pdEfe6cci9y8aZN2vO3etVt27dwpWzZvlg3rN2ikxwMvasRPslo1SJmuVpBfIOuee149KU8inlYUgqigcbnvAz/6sTz3zLP65NJLXA2o/vCXcIOnmbN4432xFvyzL31/FmX+v+8s3lh/GN7zj2+/LY/+4hfy3rvvSq/xnIzz4WHX3NSka/rRn/1ctm7eos0Qi9GqQ8oPww8yNTkb1iJCi5defFF+/sgjUlxUrN7UySkVhEf9aMMG+f6//bv8/ne/18Md/rlIrFWabNY9/4K88uJLBtrm2FfuTasKaWFBofz6lV/Jn955V2cRERawH8UPzOmDN157XV556SUdm+ggTV488TnwzuW5Vryvn91xg8EXKyIN9ktJxf79vu9KQ0ND7CvxIh+lp3z3zl2any5GqwepWTR4yBdfWKfGtgqgcttZQ32Dxvbkq2++/obG9a5hITkBKFtSbBGwlWKCM33ojR0fk3FjzO7xpwxOCxNetKqyUn7204fliV/+UoeXRYm+X7ZtyGMXo1UtHJWVlsjTTz6luefzJvd8/7335b0/vWe866+1ePT1//uP8u4f35n3SkMnT3hKvQIhO1tyc3I0x7985bKei2xqaJSyklLzIGzTm8Cc7k3knLy/jxoH8ptfv2re4+XvGV9VSKnust3y4P0PaPy+/v0PFFLu2PjZw49ozP8HE/Ov5iVLM6GjCXNSXVQdKbK99cYb8qHJmdjr5K4T7iqhmJFnwGW8DF6VpzwPP21cuHJVK7rs8fGzppOn5fPRAdWXvQHVy/29X7xw0TwAc+WXjz0mv/vNb/VBuNxa1XC3qLBIXjaJ9e9e/Y3+enR0VEaGR7S6S6zPQnv26Wc1Z6Uda6XFbF+uxuM+ysnTp1M+5P7yiy+1AZzZxBzfm5yc1CaF/fv263uLF+XEEM0L3NXK9sHB/fulqKBQL7NqbWlVT5xOl1pRq+ABtG/vPiktLtaC410D7nKJBxoPvaeefNJEfK/M25bKw32xD45VLRzZ6i43np0wiyMoFtVTjz8h95twmCsOV0J4eDavSfqZl/T6a6/J22++aRbzAb3un7ms7I8NGHAxAKb7RM3+fgWNE0B4y3Mm92Ex8P0T6mYfOixnzZ9VV1fLAfO9U8jAs3IvDpvuRDE7d+yQd956W6vrFRUVWiMAaptD8e/x64mJCf1ZaRwJ+x5Ww3iQ8zlUlFdo48v3vvtv8m/33afr6Yh54Fw4f1697FKL97fPfNZAys4DRaQoMdHh8KFDGgkuBtRVh5Tq7gcmF+3r7dMfxBohDFXdJx9/XB5+6CF9+q+EKAwA6AvPPy9/+9d/I3/5F/9L7vvWt+X1P7wme7P2mJAxVwHAC6knOnBADsSMX6+07cnK0sn+3LPJU5siEZDS+UJzAl1EdG7hYTo7OmTDB+tlx/bt+gAE8N0G2pzsHP06gBbk5WujCOLf4yxlY2Oj/qzsXYd9D6thLH4eNtwP+tgvHpWv/d3fy//+n38h//i1f5B3//hH7WZblsjHsMZ9t+Sj3/3Offre+rdf0N27X2kzPu81FeAsE9XQiHOvWlVI2YJZ99wLGvKy8PFSeAWelKWlpfLKSy/LAz/+sbz91lu6JbMS4klJaL1l02b55jf+Rf7Hf/vvmhsfMCFjd3e3jnpkGiHfJ8aTdMbMwlhpw5vw3lDQwHOQRhwxUQfhK96TohEX3lKRzMvNk40ffSybTOTCfGKu++Pnys3N1X5pwkauiLSD3OzDkrCZfl4+n7DvYTWMcZu06PFAff+99+TJJ56Q5559VqMCHkCAtByeFAH/AZMmUEvBo7KOef+siDy2mvVz/w9/LL945Gfq2dPSk3LrGaHKCwbShx78iRaOPjBvNpcyfbh+g24SP/LwIyZ8eVWam5sXXcZeiCieUBDINk9rCldbt2wxC2I4LYZts4DIo2kGB1gKQ3THeA30nhHaAi+FI87jHjlSrYuMsAyYl6rndCXEQ4RUg3SIMHSlCow03bMu6Dh65ulntA5A432+eRBuMGv4pw8+KI8/9kspKS5Z9NiVVYOUxdRpnubrTUhAhZcf6LlnnjHQPiev/upX8u4778iunbu0eZ5wYjFPonsR4QnVQkJGPA5P5lQvHFnxfWK8Z3gTThPZExoYQPKeEjWwhUAzPb/HA5BHBcO3VBcPT+Bcyc+H/xYpwmETcr+4bp386Ps/kG//67/Kd799n3rYF194QUNh3uvFrt1Vg5RvnNxncGBQmxd4gjPcmv/nyBShJW8CCykVRMUzHbZhFiKWzh3zc9mfDTivf5r4QiyneFGw4zTW/n37NNTevnWbpgytrS1LNv951SB1cnJKTg5SJ6cUl4PUySnF5SB1ckpxOUidnFJcDlInpxSXg9TJKcXlIHVySnE5SJ2cUlwOUienFJeD1MkpxeUgdXJKcTlInZxSXA5SJ6cUl4PUySnF5SB1ckpxOUidnFJcDlInpxSXg9TJKcXlIHVySnE5SJ2cUlwOUienFJeD1MkpxeUgdXJKcTlInZxSXA5SJ6eUlsj/B9vwqAxs8wxlAAAAAElFTkSuQmCC)
A particle moves from A to B and then it moves from to as shown in figure. Calculate the ratio between path length and displacement.
![](data:image/png;base64,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)
physicsGeneral
Maths-
If
then det A=
If
then det A=
Maths-General
Maths-
Maths-General
physics
Frame of reference is a ... and a ···.. from where an observer takes his observation,
Frame of reference is a ... and a ···.. from where an observer takes his observation,
physicsGeneral
physics
To locate the position of the particle we need
To locate the position of the particle we need
physicsGeneral
physics
Mechanics is a branch of physics. This branch is ...
Mechanics is a branch of physics. This branch is ...
physicsGeneral
physics
A branch of physics dealing with motion without considering its causes is known as ....
A branch of physics dealing with motion without considering its causes is known as ....
physicsGeneral
physics
A Particle of mass m is at rest at t=0 The force exerting on it in x-direction is F(t)=Fae-k. Which one of the following graph is of speed
A Particle of mass m is at rest at t=0 The force exerting on it in x-direction is F(t)=Fae-k. Which one of the following graph is of speed
physicsGeneral
physics
As shown in figure a block of mass m is attached with a cart. If the coefficient of static friction between the surface of cart and block is µ than what would be accelcration a of cart to prevent the falling of block ?
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)
As shown in figure a block of mass m is attached with a cart. If the coefficient of static friction between the surface of cart and block is µ than what would be accelcration a of cart to prevent the falling of block ?
![](data:image/png;base64,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)
physicsGeneral
physics
A block B. placed on a horizontal surface is pulled with initial velocity V. If the coefficient of kinetic friction between surface and block is µ . than after bons much time, block will come to rest ?
A block B. placed on a horizontal surface is pulled with initial velocity V. If the coefficient of kinetic friction between surface and block is µ . than after bons much time, block will come to rest ?
physicsGeneral
physics
An impulsive force of 100 N acts on a body for 1 sec What is the change in its linear momentum ?
An impulsive force of 100 N acts on a body for 1 sec What is the change in its linear momentum ?
physicsGeneral
maths-
If
defined by ![f left parenthesis x right parenthesis equals fraction numerator e to the power of x squared end exponent minus e to the power of negative x squared end exponent over denominator e to the power of x squared end exponent plus e to the power of negative x squared end exponent end fraction text , then end text f text is end text](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM4AAAAvCAYAAACrB/XjAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAeOiuv/QAABKJJREFUeNrtnEFIFUEYxwcRkYhAQiRChAgJDyFESISEICESIkKHdwwhIiS8hacOXsRDhHTrIBHxIMSDRAgRISISREhEeOkQIdJFQiJChG2+9hOXdWbfzO6+tzNv/z/4eG/37Zv3zb7v253vm9lPCKDivpR9KT+k3EJ/ADBjXkqblEEpO+gPAHa0SvmL/gBgx5SUx+gPAOYMSVnhqzT6A4ABvVJec1yA/gAQYV3KZX7fImVVSg9vv2djQ38AiEFp2Sq/p3H/ROSzICboDwARtqRMS3nmqH5BgvjYH9AkLEjZbqKxf7P1BzSYLilLIpyz+C7lhuKYYR7afJXS6aiONhTdH+A5Z6R8ljLG231SvsSO6ZayJuW0CJejzDqoow1F9wc0AbS8ZCa2L5qKpVfKQPVGtr+x0bmiow0u9Ad4DqVhf8WGKrRvn18bFbgnBfCN1BEAIwY0BrwBHQHQQzHDK+gIXIMCzznL78zx9xrBNSkfHD+HPugIMsQKXbF9tJxjM2V7G+J4OUi9oXTsNPehg4PwQcfOrw86NqMN15URKXsslCJtjRh/f8o2r4gw89MILvBvHbKBTjr4p/qgoy0uLeXR2XDddKYf2Ik4SB+/9ucQvK6zAwG/2XPccXQ2XFedaWFgVbGf5h2mMrb9IEV8BPy5s7jiODobriuPpDxU7F/VjMEnNc4wqxh+UFD8DnbnvdPo5qmOtkc5FqalRLSaoVvRTkWEhUPomEUp7Zq2botwMjepLVMbNnF2GkLTIxh/hMVK8uXYSalEPqPJOd2s9qdYEHZHylPFcW3cjskfYjqZCNy649DF8o2USxFbWIsdR/NY2+wEFMDfFScf5w7YaWik05PQlo0Nm/TlozheBmXFtsarD2sEYkcdH65xVzmA3TW147yM7WtR/OfLCoPeVbQ1ZNCWjQ2b9IXuNB22J6SFvygsHYd4K8LVvfQ8yNkGO04AySR5Ok67wfG/xck08X5OcVSSDZu0Ny7CJFjF5oQM8PhORdJQjZhmp0iaq8FQrZzJgcDwv87DcZJs2LQ9WhxLDwLSNIHR4+YVDtR0d5Trms9o/xIP15I8FckBOA5B6exTOf+GiQ3btjfD8XtNFjhQU6FLR1MWYoVPxGkOrnRDtSluB/jNgVCv4jY19kVRe8I3reMk2bBte6Yx1f+gbVTzmWoCtJMzKFFHoYIRLzRt+DQBWtba0VU2pvGEY7Y0IwtTY78owhTzTd6mrNnznBwnyYZt25s0HfbtaYK7IzYjMUwbK3lec/JHYvsaueQmD8paO9rEcSjb9TNjXHKVL8SUdKIlMWM5OU4tGzaNvw75pnCuVgN099itcYwvizzzpIy1o6uWV21XMLHhXHkiwty3yXKYe8J+2cy85bjTJcpWO7pfJC+KdBUbG84NGkZNIOZVDknKVjuaht5dHvYNNuwIqB0NgAbUjgYgBagdDUBKUDsagBTkWWs5aLL+gBJSRO3ooA462oDa0SATRdWODnLW0QbUjgaZKap2dJCjjjagdjTIDGpHA5CCIusyBx7oCICSIusyBx7oCICSIusyBx7oCICWouoyBx7oCIAW1I4GdecfYisS7MmtcOcAAAITdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPmY8L21pPjxtbz4oPC9tbz48bWk+eDwvbWk+PG1vPik8L21vPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1zdXA+PG1pPmU8L21pPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjwvbXN1cD48bW8+JiN4MjIxMjs8L21vPjxtc3VwPjxtaT5lPC9taT48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjwvbXJvdz48L21zdXA+PC9tcm93Pjxtcm93Pjxtc3VwPjxtaT5lPC9taT48bXN1cD48bWk+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48L21zdXA+PG1vPis8L21vPjxtc3VwPjxtaT5lPC9taT48bXJvdz48bW8+JiN4MjIxMjs8L21vPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjwvbXJvdz48L21zdXA+PC9tcm93PjwvbWZyYWM+PG10ZXh0PiwgdGhlbiYjeEEwOzwvbXRleHQ+PG1pPmY8L21pPjxtdGV4dD4mI3hBMDtpcyYjeEEwOzwvbXRleHQ+PC9tYXRoPusn1roAAAAASUVORK5CYII=)
If
defined by ![f left parenthesis x right parenthesis equals fraction numerator e to the power of x squared end exponent minus e to the power of negative x squared end exponent over denominator e to the power of x squared end exponent plus e to the power of negative x squared end exponent end fraction text , then end text f text is end text](data:image/png;base64,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)
maths-General
maths-
is a function defined by ![f left parenthesis x right parenthesis equals fraction numerator e to the power of ∣ x end exponent minus e to the power of negative x end exponent over denominator e to the power of x plus e to the power of negative x end exponent end fraction. text Then end text f stack stack text is end text with _ below with _ below](data:image/png;base64,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)
is a function defined by ![f left parenthesis x right parenthesis equals fraction numerator e to the power of ∣ x end exponent minus e to the power of negative x end exponent over denominator e to the power of x plus e to the power of negative x end exponent end fraction. text Then end text f stack stack text is end text with _ below with _ below](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM8AAAAqCAYAAAAUCA9uAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAABE9JREFUeNrtnEFIFUEYxweJh4QEEiIRIkRIeAghQiIiAgmRkAg8vGMIESHhLTx18CIeIqRbB4kIIUQiIoSIEBEJIiIivHSICG8SEiEhTPO1n7htO7sz+2bXmff+P/jQt2/f977Z931v5/tm3icEuIVLAEAxXuASAOA+eFaVnOb/25QsK+kNYEyh2g2aKHiuKFng/+8puRbImEK1GzTZtO2DkkklDw/YTpkhPtsNWjh45pRsKKkFNq5Q7QZNEjxDPP35rKQroDGFajfwgG4li0p2lHxVcrFA8PQoWVHSIaJy9rQn9uZRpd2gyTii5KOSUX7cr+STZfDQVIcqVn2xx1/YIQ/a3iyqtBs0IbNKplICpFYw5/HNXgBKgdY0fiTm+XRsm/+m8czB+0oDcWUvAKUwqHHcNdgLQDaUNzyFvcBHqHozY/maGVHd5stzSt4GdD1DsxcY5g7diWO0V2q9oL41sb/XqmxobWOSx9DJyfgFj691aPaG7selMqxki4VKpodiATBQUOcZEZVQq+AEv9cuO+a45x+w7/baFEOkR3br/DhtfE6gN/geC5J+/jvgIIld5SACYSMLPlclOj8u1WbafbuQcpzWIiYa1H27QL4EEDwu/bhU7iq5k3J8WTMPH9cExHTK9IOS49fwvZYInhHOj2m7EW0V6kk5t67kG58zr6Rdo2tMRLsksnSZ+rHJeGga/UbJL5G9RvcPS4l5bD32HC3a6Va83yeSsutKHqScV2M9jc6rgd/BQ1+aL5WcivnDSuI8Wt/a4ECgpP6GiH53lNQ1xrOe3gxdNn5sMp53Yn+rlBUbmsjezUnM9gY+lHN3+Q3fa/rgeZI41pbyuS+lOPVmiq5LBrps/NhkPHTH6bS9KG38QmEZPMQrEe0Eph9gHa04eCTEWsoMnnaD1/wU/5eQtw3fRzbgxyb6roqoOFa3uSiDPNdLI2vaRkxyYGSt5WDa1roFA2n4ebsIniw/NtVHu9DpF7i0dNBnoqTOiZvuznJe8xwdX+SpW1a0omCA4NmD1l4OF3wf2YAf2+qb4pw+lzlO3NLQlaqpMvGcL0QHJ1u6adsE6wEInnmRvxhcNHiy/NhWn2mO9TeJG9E8l7ZI2sVVlXiwUNeWxxodWCT1OyBkhcFzUkTl58v8mKppjxwFT5Yf2+obN50CbmmSvT3WYzlNjY08nnIeLU4NJ45VuT0H+B88xFn+QqZiFG2fGXUUPHl+bJqP7fLN4VieArqLbOacE8rGUNC6mPixU+6LqC5usnXmprDfYjNrOQc9SNAhNFxs/NgZNKVCR8n9nA0dQsMEfuwB6BAKQEHQIRSAAhTttCkDtRsAI/K6cjbSaVM6tsUGdAh1w05CAJPXlbPRTpvSoS02oEMoKJ2yu3JKj2wBwBlldOVEh1DQElTRlVN6ZAsAzqiiK6f0yBaAgoEzqujKKT2yBQCnlN2VU3pkCwBO8akrZ2gdTYGGPyqk7gEKjDwxAAACQXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5mPC9taT48bW8+KDwvbW8+PG1pPng8L21pPjxtbz4pPC9tbz48bW8+PTwvbW8+PG1mcmFjPjxtcm93Pjxtc3VwPjxtaT5lPC9taT48bXJvdz48bW8+JiN4MjIyMzs8L21vPjxtaT54PC9taT48L21yb3c+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1zdXA+PG1pPmU8L21pPjxtcm93Pjxtbz4mI3gyMjEyOzwvbW8+PG1pPng8L21pPjwvbXJvdz48L21zdXA+PC9tcm93Pjxtcm93Pjxtc3VwPjxtaT5lPC9taT48bWk+eDwvbWk+PC9tc3VwPjxtbz4rPC9tbz48bXN1cD48bWk+ZTwvbWk+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bWk+eDwvbWk+PC9tcm93PjwvbXN1cD48L21yb3c+PC9tZnJhYz48bW8+LjwvbW8+PG10ZXh0PiYjeEEwO1RoZW4mI3hBMDs8L210ZXh0PjxtaT5mPC9taT48bXVuZGVyIGFjY2VudHVuZGVyPSJmYWxzZSI+PG11bmRlciBhY2NlbnR1bmRlcj0iZmFsc2UiPjxtdGV4dD4mI3hBMDtpcyYjeEEwOzwvbXRleHQ+PG1vPl88L21vPjwvbXVuZGVyPjxtbz5fPC9tbz48L211bmRlcj48L21hdGg+LQrmfQAAAABJRU5ErkJggg==)
maths-General
physics
The force acting on a body whose linear momentum changes by 20 kgms-1 in 10sec is
The force acting on a body whose linear momentum changes by 20 kgms-1 in 10sec is
physicsGeneral