Physics-
General
Easy
Question
The adjacent graph shows the extension
of a wire of length I m suspended from the top of a roof at one end with the load W connected to the other end. If the cross sectional area of the wire is
, calculate the young's modulus of the material of the wire.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQcAAADWCAYAAADcvkeZAAAUUUlEQVR4nO3dv3La2NsH8C87v96Rb8Ae+QLsjOhjz4iZdJstRGtvA2060cXpUOdiG9SYbdHsbLaWZuz0aOJcALJ9A8i+gvMWeY8iwYFgLCEhvp8ZJrYQOscEPTznj44aQggBIqIZv5VdASKqJgYHIlJicCAipZ0PDs1mE71er+xqEFXOTgeHdruNMAzLrgZRJe1scHAcB57nlV0NospSBgfXdZU7Hx0dodFooNFooNvtKvfp9XpwHCe3CgZBgFartbBO3W43qdOqzYMgCOB5HizLyq2eqjLa7TaiKCqsDKIizQWHIAjQ7XaVH+rxeLzwQHEco9lsIgxDdDqdV1fM8zw0m020Wi0EQaDcp91uw3VdTCYTTCYTOI6Ddru99LhxHKPb7WI0Gr26jsuYpgld15P3hGjbzAUH+a2vSrk1TVt4oFarhTiO4ft+sl8URYjjeG7fX50sURTBcRzlayX57W8YBnRdh67rMAwDnuctPX673Ua/34eu60vrkId+vw/TNNFut5f+LUSVJFJ83xe6rgtd14WmaUIFgAAgOp1Osq3f7wsAot/vZ/a1LEsYhiGm02mybTweC03T5vZV8X0/KW8wGGSes21bABCmaSbbTNMUAIRt22I8HievlQ/VNvmwbfuX9VmHLDP9fhFtg0zm4HkebNtGp9NBHMcL2/mz5H6zbfjRaARN05KsIgxDtFot2LYN27bXCmbSsuwgiiIYhgEhROaxjtl+FsdxMn0cURSh2Wwm22b7WwzDgKZpcF2X/Q+0XWSUmEwmQtd1IYQQ0+lUaJomDMOYiyaYyRzkN+OiTEOIH9/ohmGsnDFIyzIHwzAWZg7pbctYlvXLrGE6nSZ10DRNjMdjMRqNMlmHaZpJ9gQgkyml6/WSv52obEnm4DhO8m2uaRosy0IYhgs7AyX5/LL+iH6/jzAMk+PmYVNt+PTfZVlWkglIpmlm+lmA+axG9m+wY5K2yW/AjzTc87zMKIMMFK+dCyCbErJzrtVq5ZJeL+tQXBao0kajEYQQ6Pf7a9fjJcGOnZK0TX4DfvQZzPYB6LoO0zThuu7aH+rZPobBYJBbgDAMY+FzmxiJIKq73+I4nssaJLlt1Y7JWTLopAOPDBCvzUhM0wSQ/TaWPxc5uek1Vs1oiKrgf67rotPpKD+4lmVB1/WkP0J1IqpOUmkwGCgLXbR9lqo8yTRNWJYFz/OSLCQMw6RfIC+qOqy6TZL1y7NeRIXTNG3h2H/6MRgMhK7rmW2y911uH4/HufSSpkcpZh+TySSzb6fTKXSugupvnq1Tug7ykSbf49m6E1UZfr3Lrw0GAw7VLcBJULStGkLks4Zks9lEHMcYj8dsW6e0220EQYDxeMyOUtoquV2yLcf6eR3BT71eD0EQwPd9BgbaOrkFB03TMB6PYRjG2qMbdRIEAaIoSt4Tom2TW7OCiOplZ1eCIqLlGByISInBgYiUGByISKlSweHh4QEPDw9lV4OIULHgMBwOMRwOy64GEaFiQ5lv3rwBADw9PZVcEyKqTOYwHA7x/PyM5+dnZg9EFVCp4KD6mYjKUYlmxd3dHd6+fZvZ9u3bN5ycnJRUIyKqROZwdXW10jYi2pzSM4enp6eFl3jHcZx0UhLRZpWeOSzrX2DfA1F5Ss8cDg8P8fj4qHzu4OCAk6KISlJq5vDly5eFgQEAHh8f8eXLlw3WiIikUoPDKp2O7JgkKkdpweHh4QFfv34FALx79y5zbwvbtvHu3TsAwNevX9m0ICpBacHh6uoK5+fnuL+/x+3tLd6/f5889/79e9ze3uL+/h7n5+fMHohK8L+yCl7lhD88POSIBVFJSh/KJKJqYnAgIiUGByJSYnAgIiUGByJSYnAgIiUGByJSYnAgIiUGByJSYnAgIiUGByJSYnAgIiUGByJSYnAgIiUGByJSYnAgIiUGByJS2mhw8DwPjUYDQRBsslgiWsPGgkMYhuh2u5sqjoheaSPBIY5jtNttxHG8ieKIKAcbCQ7dbhemaW6iKCLKSeGrT/d6PRiGsfBmuURUTYVmDp7nIYqizA1riGg7FJY5hGEI13Xh+/6LX3t2dja3bfZ+v41GQ/la7reb+5V8P+haKixzCIIAQRCg0Wig0WhkRiparRZc1y2qaKq5p6cnnJycLAwglI/S7ni1zM3NDU5PT5fus+o3Bfer1353d3c4PT3F8/PzSseh9RWWOdi2DSFE8hgMBslzvu+j0+kUVTTV1HA4xNu3b/H8/Izz8/Oyq1N7nD5NW+Hi4gJ//vknAOD8/Jz3UN0ABgfaCqenpzg4OGBg2KCGqEg37+3tbTJKsUqfAxEVi5kDVdLFxQUuLi7KrsZOq+RoBe22i4sL/P3338nvbEaUg5kDVcpsYKDyMHOgypgNDNfX10ubFulJUBXpOqsVBgeqjNvbWwDA3t4ebm9vcXJyUnKNdhubFVQZl5eXOD4+xsPDAwNDBTA4UClUoxEXFxe4u7vDmzdvSqoVpbFZQRvH0YjtwMyBNoqjEduDmQNtzEtHI36FIxTFYnCgjeFoxHZhs4I2hqMR26Xw4OB5Ho6OjtBoNLC/vw/P84oukiqKoxHbpdDg4Lou2u02oigC8PP+FfJ3qq/b21scHh4WevGUXIKQy8UVo7DgEMcxoihKVoJKr0DN2+HV18PDAz58+ICzszM8Pj6WXR16hcKCg6Zp6Pf7ye+WZSU/8wY39XR5eYmTkxP8999/AH6MRnAOw/baSIdkEATodrvQNA2j0Qi6rm+iWNqw4XCI5+dn7O3t4du3b1yPYcsVHhxc10Wr1UIYhojjGI7jsM+hpjgaUTNiA3zfF6ZpCgACgDBNc26fm5ub5HnVYxb3q9Z+ZahafepmI80K0zTh+37S78AOye0nbyxTZp+CSN36gPK30QVm4zjG/v4+NE3DdDrNPMcFZreH6sYyPEHrp7DMwXEcNBqNTJYg77SdHrmg7ZK+sQzVW2HBQXY6tlqtZFak4zgwDCMzxEnbI31jmb29vZJrQ0Ur9HZ4cj5Du93G/v4+AGA8HicZBG0XeWOZ4+Pj5CKqMnGGZLF4UxtaW9kLvJZdft3xqkxSkqMRnMi0u7ieA81Jj0Z8//4dgHopN35b1xszB8rgaARJzBwooVrf8bVLudH2YnAgpW1Yyo3NmmIxOFBC9ivc3d3h9vb2lys2cbSg3hgcdphsLqQ7G7n+AkkMDjuKN5ahX2Fw2EF1ubEMmzXF4lDmjlHdWIZZA6kwc9gxvLEMrarwzEFeut1oNNBsNhGGYdFF0hJ5LuXGxVbqrdDg0Ov10Ov1kt/DMESr1eIakiXijWVoVRu7b4W8fDuOY971akM2cWMZqq9CF3sZDAbJ76PRqKiiaMau3FiGzZpiFdYhaRhG5vf0Ai+8b0VxLi8vcXV1lVw4VeS1ERxKrLeNjVbIjkhd17mGZIHSN5bhaAS9xsbmObiuC2C15sXZ2VlmCTDVMmCzz3O/H3hjGcrLRoJDGIZwXRf9fn+uuUH52qXRCK4hWazCg0Mcx2i327BtO3On7WVubm4ynU2q9uzs87u4XxzHyY1leJJQ3goPDt1uF6ZpZpaj7/V6iOO46KJr7e7uDoeHh/j+/TsuLy/Lrg7VUKHBwXEceJ4H13UzKWAQBFye/hVml3Ira6VuDiXWW2HBwfO8zOzINDkhil4ufWMZADg/P+eFU1SIwoYyLcviN0rBGBioSLwqc8tw1aaf+OVTLK7nUGGLbnM/HA7ntpXR9udQYr0xOFQURyOobAwOFVSV0QjabexzqJjZZdzY6bgYL/wqFjOHCntJYGDbn/LGzKFiOBpBVcHgUEHbEhSYytcbmxUlkpdVHx4ebk1AoN3B4FCSL1++4OTkBN+/f8fj42OyZDxRVTA4lODjx4/4448/Mku5MXN4OV74VSz2OZTgy5cvAPK9sUwZJwiHEuuNmUMJuJQbbYONBQfHcXB0dLSp4iptl5Zyo+1VaHCI4xi9Xg+NRmPh2g51d3FxwZvKFIQXfhWr0D6HXV8ObnYqdJGdjvIEYduf8lJocJB3vGq1WgiCoMiiKmc2MBweHpZYG6KXq+RoxdnZ2dy22W/ERalkFfZLB4Z3795hOBzWMjgwS6k3jlYU5ODgAP/++29yM1uibVPJzGGbpTOLDx8+lFgTotepZOZQh5vaUPH4/heLmUNNcIYk5a2SmQMRlW8jwUHOddjlOQ9E26bQ4NBqtdBoNBCGIYAfwaHRaKDb7RZZLO0IzpAsVqF9Dr7vF3n4Siqr7c0ZkpQ39jkQkRJHK2htzFLqjZkDESkxc8gZx/6pLhgcaGsx+BaLwaEmOEOS8sY+ByJSYnAgIiU2K2hrsVlTLAaHnHGGJNUFmxVEpMTMgdbGLKXemDkQkRIzh5yxk4zqgsGBthaDb7EYHGqCMyQpb+xzICIlBgciUmKzgrYWmzXFYnDIGWdIUl2wWUFESswcaG3MUuqNmQMRKTFzyBk7yaguGBxoazH4FovBoSY4Q5Lyxj4HIlJicCAiJTYraGuxWVMsBoeccYYk1QWbFUSkxMyB1sYspd6YORCREjOHnLGTjOqCwYG2FoNvsRgcaoIzJClv7HMgIiUGByJSYrOCthabNcVi5pAzIUTy2KRGo5E5WShfDw8PuLy8xNPT09rH6Ha7yf+TfHS7XQRBMLe90WjAcZzktentURRljhsEAZrNJhzHyey3v7+f2TeKoszzR0dHcBwHvV5PXWFRETc3NwKAACBubm7Krs7Wke9dGWWW9THadPnHx8cCgDg/P1/7M2rbdlLnTqeTbJ9Op8IwjOS50Wg091rDMOa2DQaDuf3Tx1G9xrZtMRgMknJN0xSGYYjpdJrZj8GhJso8Scuy6eBwfX2dKfP4+FhcX1+/6BjT6VRomiYACE3TMifkeDxOjm2aZuZ1k8lE9Pv9zLbRaCQAJCe61Ol0MgFi9nWDwUD4vp+pk67rwrKszH6V+TQxOLwOg8Nm7O3tZcoFIPb29sSnT5/E/f39SsdIZw+zJ7YMHAAygcO2bTEej5Pf5Qmtadrc8TudjphMJkLX9eRY6dfOBgchhOj3+3P1qWSH5N3dXdlVWNvZ2Vny883NzcbLv7293XiZVbCpv9s0Tfzzzz+Zbc/Pz/j8+TM+f/6M33//HR8/fsTp6enCY1iWlfQneJ6HTqcDAAjDEJqmIY5jAIDrurBtG8CP/gLDMJJjeJ6HKIqS187SdR2j0QjNZhMA0G63MR6PoWnawr8LABzH+XnMlULdBqQzBz742PbHwcGBuL6+FnEcKz/v6bR/MpkIIX5mB3K77C/wfX+uaWBZlgDmmwxCiExfhuyTAJA0G1SZgxA/MzGZZXC0gqgElmUlP3ueBwCI4xiGYSTPhWGIKIoQBEFmf+DHCAWAhZmA1Ol0kuzD87ykLBVd1zPHrkyz4uTkpJQ0nOgl/vrrr7lmRdoqzQrgx0krhxBd14VhGElqb5pmchLL5oM8cSXZ9FhFv99HFEXwPA/dbjcJFr+0RguAaGfl0SEpyaYBkB2dmE6nyXZN05RNB/n8bIemENlmRfqY6Q5KVbNCPi/LY7OCaEXD4RDPz8/J78fHx7i+vsbT0xMuLy9xeHj4ouOlmwrpzkZN05Ln4jhWdjr+qjmh2t/3/Re9jsGBaEVXV1cAgPPzc9zc3ODu7g4XFxdrH8+yrORkne1TkE2M9D6q52ebF3EcJ30Vs3Rdx2AwWFgf+Rp5bDYr1jAej4VpmkmKpkr7hPiR3sl9bNvOvR6TyUSZdk4mk6R+mqYpU891jEaj5G9Kp8FFlSfJMXj5kOP4ab7vJ2mxYRjKtPk17u/vxadPnxaOPqzLtm3lLEY5WUo1U1KIn6MQ6YlL6ZEJ+T6p9Pv9ufdHjpLoup5sY3B4IXlCYqbdOXvyy/bkZDIRk8lk7j/ytdLTbdPBQbYt5X+y/MAsCmCrSJ/8nU4n84Etorw0+T7KYOT7/tyHWH6w5ckgA1h64k8dLZoEtQ7VJCgGhxdKR135QZXfmJLcnv5GkCdyXh/YdGdW+kSU/8kyWMnOrXU/RHKmnaZpyrrnXd5s2aq/UWYIMnuQgUsGLTmtOM9gXEXy73xtIJYBfjaDYZ/DC80OOclhoXTbTzUGLX9eNs68KsdxFnYsyePL5+W/cRyvVXa320UURRgMBplOs6LKW8R13eQ9juMYmqYlswln3+/0e/2SIb9tY1kWBoMBer3e2u91HMdot9tJh2Uag8MLJZ01/09+ENMnThiGC1+v6ih6Cc/zEIbhwrHqPMsOgiA58eTlwM1mM9mWd3mzdF1P3u8oitBqtdDtdhHHMQaDATRNW1p+HnWouk6nA9/3M5d3v4ScY6GaWs3g8Eryw5keblr2bfWab7IoiuA4zsIe57y/JV3XBfDjG2o8HsO2bYRhiFarhSiKNvKtPBqNkgARhmFyvUF6qG+ZOmcOkmmaGI/Ha73Wtm30+33lcwwOryBnnVmWtXJwWFccx+h2uxiNRgubFHmXKzMEOTsvPdyWTvOLJMf802WnFyjZhZO/LAwOr9Dr9ZRjx7NTXdNeOnlFCsMQQRDg6OgoWcUnXY9ut7u03JdSZQbpplMcx7mWt0i73Uav18NgMMikvo7jIAzDX9Zh3febGBzW5jgOgiBQzjpTddxJRZ9QeZWd/puWfTsX+bfKC4VM04SmaTAMI5MCh2G4tPw86rDLGBzWEIYhHMeB7/vJh0/2BwDq2Wvy59mZcKsyTTOzPuVkMkme6/f7SfYy2xaX/6an5K5C07RMW3+WPCnzKm9V6ZNdjljMvt/p95qZwyu8aoB0B81ewJJ+pCcHFT0JatEcgDwnJaXXFhiNRsr5G0VOgkq/13KOhZzglK7Drk6CKhqDwwulF+mYfcwu0Fnk9OlFwUE+l9d0Zt/3M1PFO53O3N9Z5PTpyWSSmfC1KPAUPX16FzWE4IL/RDSPfQ5EpMTgQERKDA5EpPR/faKURTWWkScAAAAASUVORK5CYII=)
The correct answer is: ![2 cross times 10 to the power of 11 Nm squared](data:image/png;base64,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)
Related Questions to study
physics
A lift of mass 1000 kg is moving with an acceleration of 1 ms-2 in upward direction tension developed in the rope of lift is…..N (g=9.8ms-2)
A lift of mass 1000 kg is moving with an acceleration of 1 ms-2 in upward direction tension developed in the rope of lift is…..N (g=9.8ms-2)
physicsGeneral
physics
A Person standing on the floor of a lift drops a coin. The coin reaches the floor of the lift in time to if the lift is stationary and the time t2 if il is acceleratcd in upward direction. Than
A Person standing on the floor of a lift drops a coin. The coin reaches the floor of the lift in time to if the lift is stationary and the time t2 if il is acceleratcd in upward direction. Than
physicsGeneral
physics
A car turns a comer on a slippery road at a constant speed of 10m/5. If the coefficient of friction is 0.5, the minimum radius of the are at which the car turns is …….. meter.
A car turns a comer on a slippery road at a constant speed of 10m/5. If the coefficient of friction is 0.5, the minimum radius of the are at which the car turns is …….. meter.
physicsGeneral
physics
A man is standing on a spring balance. reading of spring balance is 60kgf It man jumps out side balance, then wading of
A man is standing on a spring balance. reading of spring balance is 60kgf It man jumps out side balance, then wading of
physicsGeneral
Maths-
If ![f space left parenthesis x right parenthesis equals cos space left parenthesis log space x right parenthesis comma text then end text f open parentheses x squared close parentheses times f open parentheses y squared close parentheses minus 1 half open square brackets f open parentheses x squared y squared close parentheses plus f open parentheses x squared over y squared close parentheses close square brackets equals](data:image/png;base64,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)
If ![f space left parenthesis x right parenthesis equals cos space left parenthesis log space x right parenthesis comma text then end text f open parentheses x squared close parentheses times f open parentheses y squared close parentheses minus 1 half open square brackets f open parentheses x squared y squared close parentheses plus f open parentheses x squared over y squared close parentheses close square brackets equals](data:image/png;base64,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)
Maths-General
physics
Seven blocks, each of mass 1 kg and arranged one above the other as shown in figure. what are the values of the contact forces exerted on the third block by the forth and the second block respectively ? (g=10ms-2)
![](data:image/png;base64,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)
Seven blocks, each of mass 1 kg and arranged one above the other as shown in figure. what are the values of the contact forces exerted on the third block by the forth and the second block respectively ? (g=10ms-2)
![](data:image/png;base64,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)
physicsGeneral
Maths-
If
is defined by ![f space left parenthesis n right parenthesis equals open curly brackets table attributes columnalign center left left columnspacing 1em end attributes row cell bold 2 comma end cell cell text if end text bold n equals 3 bold k comma end cell cell bold k element of bold Z end cell row cell bold 10 minus bold n comma end cell cell text if end text bold n equals 3 bold k plus bold 1 comma end cell cell bold k element of bold Z text then end text left curly bracket n element of N colon f left parenthesis n right parenthesis greater than 2 right curly bracket equals end cell row cell bold 0 comma end cell cell text if end text bold n equals 3 bold k plus bold 2 comma end cell cell bold k element of bold Z end cell end table close](data:image/png;base64,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)
If
is defined by ![f space left parenthesis n right parenthesis equals open curly brackets table attributes columnalign center left left columnspacing 1em end attributes row cell bold 2 comma end cell cell text if end text bold n equals 3 bold k comma end cell cell bold k element of bold Z end cell row cell bold 10 minus bold n comma end cell cell text if end text bold n equals 3 bold k plus bold 1 comma end cell cell bold k element of bold Z text then end text left curly bracket n element of N colon f left parenthesis n right parenthesis greater than 2 right curly bracket equals end cell row cell bold 0 comma end cell cell text if end text bold n equals 3 bold k plus bold 2 comma end cell cell bold k element of bold Z end cell end table close](data:image/png;base64,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)
Maths-General
physics
Two blocks of Nass 8 kg and 4 kg and connected a heavy string placed on rough horizontal plane, 4 kg block is Pulled with a constant force F. The co-efficient of friction between the blocks and the ground is 0.5 , what is the value of F, So that the tension in the spring is constant throughout during the motion of the blocks? (g=10ms-2)
![](data:image/png;base64,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)
Two blocks of Nass 8 kg and 4 kg and connected a heavy string placed on rough horizontal plane, 4 kg block is Pulled with a constant force F. The co-efficient of friction between the blocks and the ground is 0.5 , what is the value of F, So that the tension in the spring is constant throughout during the motion of the blocks? (g=10ms-2)
![](data:image/png;base64,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)
physicsGeneral
Maths-
Let![f left parenthesis x right parenthesis equals fraction numerator x plus 1 over denominator x minus 1 end fraction comma text fof end text left parenthesis x right parenthesis equals f squared left parenthesis x right parenthesis semicolon f o f o f left parenthesis x right parenthesis equals f cubed left parenthesis x right parenthesis comma text fofofof end text left parenthesis x right parenthesis equals f to the power of 4 left parenthesis x right parenthesis horizontal ellipsis text then end text f subscript left parenthesis x right parenthesis end subscript superscript 2008 equals](data:image/png;base64,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)
Let![f left parenthesis x right parenthesis equals fraction numerator x plus 1 over denominator x minus 1 end fraction comma text fof end text left parenthesis x right parenthesis equals f squared left parenthesis x right parenthesis semicolon f o f o f left parenthesis x right parenthesis equals f cubed left parenthesis x right parenthesis comma text fofofof end text left parenthesis x right parenthesis equals f to the power of 4 left parenthesis x right parenthesis horizontal ellipsis text then end text f subscript left parenthesis x right parenthesis end subscript superscript 2008 equals](data:image/png;base64,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)
Maths-General
physics
On the horizontal surface of a truck (=0.6) . a block of mass 1kg is placed. If the truck is accelerating at the rale of 5 m/s2 then frictional force on the block will be_
On the horizontal surface of a truck (=0.6) . a block of mass 1kg is placed. If the truck is accelerating at the rale of 5 m/s2 then frictional force on the block will be_
physicsGeneral
Physics
A plate of mass M is placed on a horizontal frictionless surface and a body of mass m is placed on this plate, The coefficient of dynamic friction between this body and the plate is µ . If a force 2µmg. is applied to the body of mass in along the horizonal direction the acceleration of the plate will be ……
![](data:image/png;base64,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)
A plate of mass M is placed on a horizontal frictionless surface and a body of mass m is placed on this plate, The coefficient of dynamic friction between this body and the plate is µ . If a force 2µmg. is applied to the body of mass in along the horizonal direction the acceleration of the plate will be ……
![](data:image/png;base64,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)
PhysicsGeneral
physics-
As shown in figure, the object having mass M is executing S.H.M. with an amplitude A The amplitude of point P shown in figure will be ……
![](data:image/png;base64,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)
As shown in figure, the object having mass M is executing S.H.M. with an amplitude A The amplitude of point P shown in figure will be ……
![](data:image/png;base64,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)
physics-General
physics-
The figure shows a graph of displacement versus time for a particle executing S.H.M. The acceleration of the S.H.O. at the end of time
second is…..cm-2
![](data:image/png;base64,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)
The figure shows a graph of displacement versus time for a particle executing S.H.M. The acceleration of the S.H.O. at the end of time
second is…..cm-2
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAARIAAACmCAMAAAAhxfDGAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///7q6utbW1hQUFFVVVfHx8UZGRgAAAAUFBaioqODg4EJCQhISEri4uNzc3DAwMAICAjExMT09PUFBQXp6ev39/dDQ0CMjIywsLMjIyNLS0gMDA4aGhvr6+mFhYXZ2dnd3dwwMDMfHx+7u7iIiIvX19UNDQyUlJfDw8Ojo6NTU1OXl5RsbG35+fuTk5MXFxenp6RwcHObm5hYWFurq6h0dHXNzc3BwcOHh4REREefn5/7+/u/v7/z8/PPz8+vr69fX1xAQEIODg6Ojo1paWt/f34+Pj3h4eCYmJpKSkp+fn0xMTCQkJD4+Pk9PTxkZGR4eHoGBgff398vLywoKCoSEhA0NDRUVFQcHB42Njfn5+QQEBGJiYnV1dUhISGlpacLCwigoKHR0dIqKitPT02BgYJSUlAkJCfb29hMTE4eHh7KysszMzAgICMPDw9vb25ubm4uLi2dnZ6CgoAEBAbGxsYmJiTw8PJqamjIyMt7e3q+vrzs7O8bGxtHR0YiIiK2trdjY2H19ffj4+Kurq3l5eeLi4jY2NoWFhQsLC3x8fKamppaWlllZWba2tqysrOzs7NnZ2Q8PD4CAgNra2n9/fyAgIPLy8ikpKYKCgs7OzqenpysrKyEhIbS0tHFxcV5eXrm5uZiYmOPj4ycnJ56enoyMjMTExCoqKpeXl93d3UlJSURERKmpqaGhoZmZmdXV1RcXFy4uLqKiopOTk5GRkcHBwQYGBhoaGsnJyb29vbOzs21tbRgYGPT09Le3t1xcXHt7e7W1tVBQUGNjY46OjjU1NUVFRaqqqs/Pzzo6Oh8fH2hoaE1NTWtra0BAQFZWVrCwsFFRUZCQkFdXV+3t7UpKSl1dXc3NzS8vL/v7+52dnW5ubi0tLaWlpb+/v2RkZDQ0NLy8vA4ODjk5OTc3N7u7u0tLS66urqSkpHJyclRUVMrKylJSUl9fX2pqamxsbJWVlW9vbz8/PzMzM8DAwFtbW1hYWGZmZjg4OJycnEdHR05OTmVlZb6+vgAAAJS9bicAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAJlklEQVR4Xu2d25HrLAyA88AMbTAjmqAneqAfhhnaoBIq4IHHX9jOxcYXsJPN+QPfnrNLLnaMEELIgtw6nU7nc3g9FToTmpKp1BkBQ6mbyp2ERolQ4adHHZRIoPhjKJsedyTnUlN1I10mdxiVN+AoDsNheqp1AMdfECgS6NbkhUEknVe6SDK6SDK6SDK6SDJ0F8mSPS2B0VvBP1OpDZL3+sASrR4SgsipvVljeDBCvLzr15GvIpFCPB8aqqJBD9coSlE67Xhzg0P/QFFx7yKSRnz1Zqm+UYMvtCOSWcdBOaAERuw4F1QoIx7xUTtRFf1qJXSgaD5GJA3aBakElghqSUsieek4hlolpA5D9SMVNEhGNdDQlEhm5tVivT3YSVMcYXDTaEO8u2nXzjCs8/CRRkm0zExLOonu0Gd0LcnoWpLRRZIxd+g7SBdJRo+qZciGprirgF865q13HM3pMp0EWoqXraCVT/eBX9GCAEjv/PzplrCPsNkI8KC1tYy1M/lfIJf9pPlB2PM4le5ocQ+jtQkIGtk8gxF42+bVc2PMXCRaNGtERvJwGfDGRZLTZ8IZs5sWnUSPqmXox72szoRs3C9ZoYeQMnQfhJe0HhxYYZ5M0UGgLylY4ruWLOkOfYbsHWdJN68Zrjv0S1zXkiVTLmfnSR+EM1xfOb2ka0mGb15LtFoE6ZsfhHUQU+lO67ZE8+fikonWvVfto1js4KJFu1kUI3YpEtm8Q6/4VLgjm9cStdyDog/CsY84S/xykucpUcxb5fOkgj9F639mLbKjSSaBqWNlAfm5q0b3gAeyMP1fwg1Zn4dV1YpEIbjg6iOXrQSPLFAa/gVb7x6rYHdQQVARomWRCP7+QdtzGlOjSGUEcfbbHcgdD8LScOb1JDmwgry3KYHQZ3KYJJQuUsf+nEMt0YTG2VtkeOs9U8fpzIYoukhW/nOOtETyPNuCLV3gC2ixdJ+/7inZ/TZxdG1/sbDMnj2PzaedxEyFL+F2tyOU2cx5wL1vxQoJU+GJ/PIOifv7K/CNLiLepSbZNDTxRiU8w65Dr7baK5sqnWQ9Edm90VadwO3Ykm0NelOijt7QtvDVe0s7I47byeyL9B1qkjZHWWO1O/0Z20q6m1Pg3xJm2dIGeJutOsOmlkBYRptmhDf0HLXpJsZvbi3qNy4LtgabCfOGduSbDshXw59bPeBoW5s3bBG7t+7FfHGTb7+uDIe9+Q32Ne70TPvFniP5qpYcdmZ/3YENO5rwzUXu6zPhbcP34HKiud7129mucf8oq4NwyY1icrW3Z/dPZuwL7KNInotk2HjviMvjZNgX+2WRn2ZtxDElSlsUodzh6J7a9yY6aQ/GBaoorHV16eiRln1vHWbeGKXJwdem8LDtp03EPJLyN2R+iSydX1wLfh1Hofbm6B8lEwkvHf2uTVfJsav3rUiSWlSMFFf0Us6Bpsc6VuAcfYSFLbEVTumVybAqSH6Ct6zErL9pOxeJrYmWxQueQygxFCuh6iqGmsVpsIBYKuCZEQNRU0t7/op90ddZXd26iuHhzyqF0st91RKom/H7Fce3kFgUD9ElXvQODD8kOVleWQ04ayqs3GtUjVW2ymlnCtJ27gXEjdhsIQo/BDufSvf3UTChsAVftKR6F/HT9tWu3zHLWAbXZF1ikFcofHIj6SC4yVB48HOOU38vlp111khhsi3wSdnBGmwuJmhVKgfj0XKGE0gWlUaRFGrJw+HKNo465mzoS1JT2mCT4kqaZhnWugJ35gELKHn090BqzdjNFduS6UN1tnHUMZpX9rSJ8u3KH+OFmixtTbANbkTdbxXJiI1fKpKx40DxEPXKQ42l2VdoGQN7mHHg5Vbz7lzD0NUg1HVVZgGIllHZqMoj3JNbHk955zjzG7OTyMFwaUR8qnzVEqApQDuGx49rNfdVvWFpt3TpnLvBYquwbcYedjKJxvKkm0muB4MqiaMXqZLgSc3cJY4de3BRGFrX/Uy2pYuqz3zpq0tK7E6GgzyHVEkg1uyfwAszDIFp2K6LPd3vpDusGzGBHxhmQ8Ce0fdXkkhO73QDOLzhpSqu+b4na5gftrQjKA0gVUbZVJkPw1Ii7wnVeMFRuLDRDRm+FoRTvt9z0r4xMVUtJRz7UKMmWlTVMETAa7qWPotacv5mI7YIRfWwNtL9AQuFrtKnWIfGldJyWw4B317qxSApF0HymiNynLhwd5fj9Y75ffteDV4kG+5REGFTHVdzAlex6d1r0+Z0gmF4AUDHVKM/JjX+DOOaQaHX9c4Z2NDCSbTMUoN03lt09WTCDz/4lJPeO2exkN6H/3wq4gGSDddLnZaO8nRJ+HZn8RR4dDrCKTyhx9MMogvKoWgGiWDDj2/w0ik8xlvGlHVWW+UUizFahRN7sD6K8e0sGhIjI4EZYyJBOytINCaYGBIiBE5FAqVtsOckThsUHD/TyfA/2oOB8cwjj8JEevNUwmsYS+NT6fD7cS8neLLyFDIcOvxKj0j6xuexKISG8DgPxyoPTFc5HDG+iL+xNHx8+v2oxylHC0cKnCRq9GNSo2KrYRtZhm2GRXT4rMKGc+k5nFug+iAsNay10jOLrY9FbHMeh/ZG7Yn4Bw/GV1BP8GWb3iTxBPjsoF14aDRDbQJ+Yjqpc3hK1C58OR0hweOzkMrJBcTJiTNYx5gmwPgcKi1e79hDUKmTOmv8haWk4ljCVzWAwg9gWD6B5+TExGYGmua6j/aGK6za9KgArO5UKgRU3Rg1A0f8C4GxkRSlqeFqoOwYhWZtKtZDyIkYyYLamYD+/P2q5OeeBLDXXBbJMB+o4ItpIyXgPNaXBt+2qEwDqbsF8Pco6uomECskVavgjesRPgKgn3Ox36CqVfWEcMnT/gsuDjeJrZzvVbaSbH8LWTPkDLPhnwcqZvqt7G9gyuPY//gI/DbK72/BB5YY/5O4YtfGNqIkaExKDcRBouvvAKWrzjYWMPwipclI5NNz4H8HVTbktLQPVaGz9u014n9J2dha49L9/ylZ5gexHUuCsAJjUpzc8RsUOGvNOK4TcJyMxK5G7/5vHLql7X0d7VEYpMHv4Dmaz+0tCP5RDkJDtiwV+qfYX4anaXtKgvZ1L0XRNKgk+xHEWLTO5OeQ44aCa4x7QDaI3PoKXi1ac9IebO0ktfyu3pZYX03UoEfywpiPNNcJcnIpxq+QVjozauIjbV2GZu3IBCgPMeUS8mhTvp1PyYGto6VlbMzGNIr1r6AdkHADGcdc3JZircdoZWjrdiRHtuuPdDo/ze32H83oArHxaHp6AAAAAElFTkSuQmCC)
physics-General
physics-
As shown in figure, a body having mass m is attached with two springs having spring constants
1 and
- The frequency of oscillation is f. Now, if the springs constants of both the springs are increased 4 times, then the frequency of oscillation will be equal to .
![](data:image/png;base64,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)
As shown in figure, a body having mass m is attached with two springs having spring constants
1 and
- The frequency of oscillation is f. Now, if the springs constants of both the springs are increased 4 times, then the frequency of oscillation will be equal to .
![](data:image/png;base64,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)
physics-General
physics
Three forces are acting simultaneously on a particle mowing with velocity
.These forces are represcaled in magnitude and direction by the three sides of a triangle . The particle will now move with velocity…..
![](data:image/png;base64,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)
Three forces are acting simultaneously on a particle mowing with velocity
.These forces are represcaled in magnitude and direction by the three sides of a triangle . The particle will now move with velocity…..
![](data:image/png;base64,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)
physicsGeneral