A bob of mass ‘m’ suspended by a thread of length I undergoes simple harmonic oscillations with time period T. If the bob is immersed in a liquid that has density 1 4  times that of the bob and the length of the thread is increased by 1/3rd of the original length, then the time period of the simple harmonic oscillations will be:-

Option 1 -

3 4 T

Option 2 -

3 2 T

Option 3 -

T

Option 4 -

4 3 T

0 2 Views | Posted a month ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    a month ago
    Correct Option - 4


    Detailed Solution:

    Time period T = 2π l g e f f

    T i = T = 2 π l g    

    T f = T ' = 2 π 4 l / 3 g ( 1 ρ σ ) = 2 π 1 6 l 9 g

    T ' = 4 3 T

Similar Questions for you

V
Vishal Baghel

T = 2 π l g

2 = 2 π 2 g

g = 2 π 2 m / s 2

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Velocity of block in equilibrium, in first case,

v = A ω = A . k M

Velocity of block in equilibrium, is second case,

v ' = A ' ω ' = A ' k M + m

From conservation of momentum,

Mv = (M + m) v’

M A k M = ( M + m ) A ' k M + m A ' = A M M + m

V
Vishal Baghel

f? = 300 Hz
3rd overtone = 7f? = 2100 Hz

V
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Kindly consider the following figure

V
Vishal Baghel

K = U

½ mω² (A² - x²) = ½ mω²x²

A² - x² = x²

A² = 2x²

x = ± A/√2

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