Solved papers for JEE Main & Advanced JEE Main Paper (Held On 25 April 2013)

done JEE Main Paper (Held On 25 April 2013) Total Questions - 1

• question_answer1)                 A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length vertical, form a fixed point by a mass less  spring, such that it is half submerged in a liquid of density \[\sigma \]at equilibrium position. When the cylinder is given a downward push and released, it stats oscillating vertically with a small amplitude. The time period T of the oscillations of the cylinder will be:     JEE Main Online Paper ( Held On 25  April 2013 )
  A)
                  Smaller than \[2\pi \]\[{{\left[ \frac{\operatorname{M}}{\operatorname{k}+\operatorname{A}\sigma g} \right]}^{1/2}}\]
  done clear
  B)
                                         \[2\pi \sqrt{\frac{\operatorname{M}}{\operatorname{k}}}\]
  done clear
  C)
                                         Larger than \[2\pi {{\left[ \frac{\operatorname{M}}{(\operatorname{k}+\operatorname{A}\sigma g)} \right]}^{1/2}}\]
  done clear
  D)
                                         \[2\pi {{\left[ \frac{\operatorname{M}}{(\operatorname{k}+\operatorname{A}\sigma g)} \right]}^{1/2}}\]
  done clear
  View Answer play_arrow