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Standard XII

Physics

Error and Uncertainty

The bob of a ...

Question

The bob of a simple pendulum consists of a sphere filled with mercury. If a small quantity of mercury is taken out, then the period of pendulum will

become erroneous

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decrease

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increase

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remain unchanged

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Solution

The correct option is C increase
Since mass decreases, thus g decreases ( $g = G M / r^{2}$ )
Thus Time period increases as $T \propto 1 / \sqrt{g}$

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Similar questions

A simple pendulum is made of a bob which is a hollow sphere containing mercury, suspended by a means of a wire. If mercury is drained off continuously the period of the pendulum will

A) remain unchanged.

B) first increase, then decrease

C) decreases.

D) become erratic

and Why?

Q. Consider the following data and choose the correct option.

1.

The time period of a simple pendulum, whose bob is a hollow metallic sphere is

T

2.

The time period of a simple pendulum is

T_{1},

when the bob is filled with sand,

3.

The time period of a simple pendulum is

T_{2},

when it is filled with mercury and

4.

The time period of a simple pendulum is

T_{3},

when it is half-filled with mercury as shown.

Q. The period of a simple pendulum, whose bob is a hollow metallic sphere The period is

T_{1}

when the bob is filled with sand,

T_{2}

when it is filled with mercury and To

T_{3}

when it is half filled with mercury Which of the following is true ?

Q. Consider the following data and choose the correct option.

1.

The time period of a simple pendulum, whose bob is a hollow metallic sphere is

T

2.

The time period of a simple pendulum is

T_{1},

when the bob is filled with sand,

3.

The time period of a simple pendulum is

T_{2},

when it is filled with mercury and

4.

The time period of a simple pendulum is

T_{3},

when it is half-filled with mercury as shown.

The time period of a simple pendulum, whose bob is a hollow metallic sphere is T. Time 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 bob of a simple pendulum consists of a sphere filled with mercury. If a small quantity of mercury is taken out, then the period of pendulum will

The correct option is C increaseSince mass decreases, thus g decreases (g=GM/r2)Thus Time period increases as T∝1/√g

The correct option is C increase
Since mass decreases, thus g decreases ( $g = G M / r^{2}$ )
Thus Time period increases as $T \propto 1 / \sqrt{g}$