A simple pendulum of mass 200 g is released from rest at a height of 0.2 m above its lowest point. Assuming no energy loss due to air resistance, what will be the speed of the pendulum bob when it passes through its lowest point? (Take g=10 m/s2g = 10 \ m/s^2)

Options

Option A

1 m/s

Option B is correct

2 m/s

Option C

4 m/s

Option D

0.5 m/s

Explanation

According to the Law of Conservation of Energy, the potential energy (PE) at the highest point is converted entirely into kinetic energy (KE) at the lowest point, assuming no energy loss. Potential Energy at the highest point (PEtopPE_{top}) = mghmgh Kinetic Energy at the lowest point (KEbottomKE_{bottom}) = 12mv2\frac{1}{2}mv^2 By Conservation of Energy: PEtop=KEbottomPE_{top} = KE_{bottom} mgh=12mv2mgh = \frac{1}{2}mv^2 We can cancel 'm' from both sides: gh=12v2gh = \frac{1}{2}v^2 Rearranging for vv: v2=2gh    v=2ghv^2 = 2gh \implies v = \sqrt{2gh} Given: Height (hh) = 0.2 m Acceleration due to gravity (gg) = 10 m/s210 \ m/s^2 v=2×10×0.2=4=2 m/sv = \sqrt{2 \times 10 \times 0.2} = \sqrt{4} = 2 \ m/s. Therefore, the speed of the pendulum bob at its lowest point is 2 m/s. Options A, C, and D are incorrect based on the conservation of energy principle and calculation.