Q.

What is the length of the second's pendulum?

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a

100 cm

b

99.4 cm

c

95 cm

d

97 cm

answer is D.

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Detailed Solution

We know the time period (T) of the second pendulum is 2 s.

The time period T= 2πlg

Where l is the length of the pendulum, g is the acceleration due to gravity = 9.8 m/s2.

2 = 2×3.14l9.8 

squaring on both sides we get 

22 = 22×3.142(l9.8 )2

4 = 4 ×9.8596×l9.8
 

⟹ l = 0.994 m = 99.4 cm. 

Hence, the length of the second pendulum is 99.4 cm.

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