Q.

In a simple pendulum, if the iron sphere is replaced by a wooden sphere of the same mass, then the time period:

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a

Increases

b

The pendulum does not oscillate

c

Remains same

d

Decreases

answer is A.

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Detailed Solution

We know, the density of iron >  the density of the wood
∴  the volume of iron < volume of the wood since, density = mass/volume.
∴ It concludes that the length of an iron pendulum is less than the length of a wooden pendulum.
We know that, T αl (Time period is directly proportional to length). 

Hence if the length increases, the time period increases. 

So, if the iron sphere is replaced by a wooden sphere of the same mass, then the time period increases. 

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