Question

what is the effect of density of the medium on the time period T?​

Answer 1

Answer:

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Explanation:

The effective acceleration of a bob in water

=g

′

=g[1−

ρ

σ

] ..... (i)

where, σ and ρ are the densities of water and the bob respectively. Since, the periods of oscillation of the bob in air and water are given as

T=2π

g

I

and T

′

=2π

g

′

I

∴

T

′

T

=

g

g

′

=

g

g(1−

ρ

σ

)

[from eq. (i)]

=

1−

ρ

σ

=

1−

ρ

1

[∵σ=1]

Putting

T

′

T

=

2

1

We obdtain,

2

1

=1−

ρ

1

⇒ρ=2