The period of a simple pendulum, whose bob is a hollow metallic sphere is T. The period is $$T1$$ when the bob is filled with sand, $$T2$$ when it is filled with mercury and $$T3when$$ it is half filled with mercury. Which of the following is true?

Question

The period of a simple pendulum, whose bob is a hollow metallic sphere is T. The period is $$T1$$ when the bob is filled with sand, $$T2$$ when it is filled with mercury and $$T3when$$ it is half filled with mercury. Which of the following is true?

Infinity Learn · Accepted Answer

Time period of pendulum doesn't depends upon mass but it depends upon length (distance$$ between point of suspension and centre of $$mass). In first three cases length are same so T $$=$$ $$T1$$ $$=$$ $$T2$$ but in last case centre of mass lowers which in tum increases the length. So in this case time period will be more than the other cases.

The period of a simple pendulum, whose bob is a hollow metallic sphere is T. The period is $T_{1}$ when the bob is filled with sand, $T_{2}$ when it is filled with mercury and $T_{3}$ when it is half filled with mercury. Which of the following is true?

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The period of a simple pendulum, whose bob is a hollow metallic sphere is T. The period is T1 when the bob is filled with sand, T2 when it is filled with mercury and T3when it is half filled with mercury. Which of the following is true?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

The period of a simple pendulum, whose bob is a hollow metallic sphere is T. The period is $T_{1}$ when the bob is filled with sand, $T_{2}$ when it is filled with mercury and $T_{3}$ when it is half filled with mercury. Which of the following is true?