1. Tardigrade
  2. Question
  3. Physics
  4. A simple pendulum is suspended in a lift which is going up with an acceleration of 5 m / s 2. An electric field of magnitude 5 N / C and directed vertically upward is also present in the lift. The charge of the bob is 1 μ C and mass is 1 mg. Taking g=π2 and length of the simple pendulum 1 m, the time period of the simple pendulum (in sec) is

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Q. A simple pendulum is suspended in a lift which is going up with an acceleration of $5 \,m / s ^{2}$. An electric field of magnitude $5 \,N / C$ and directed vertically upward is also present in the lift. The charge of the bob is $1 \, \mu C$ and mass is $1 \,mg$. Taking $g=\pi^{2}$ and length of the simple pendulum $1 \,m$, the time period of the simple pendulum (in sec) is____

Electric Charges and Fields

Solution:

$T=2 \pi \sqrt{\frac{l}{g_{ eff }}}$
image
$g_{ \text{eff} }=g-\frac{q E}{M}+5=15-\frac{1 \times 5 \times 10^{-6}}{1 \times 10^{-6}}$
$g_{ \text{eff} }=10=\pi^{2}$
$T=2 \,\sec$