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Standard IX

Physics

Simple Pendulum

A hollow sphe...

Question

A hollow sphere of simple pendulum is first filled with mercury and then with water. The time periods are in the ratio if their densities are in the ratio 13.6 : 1.

1 : 1

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1 : 2

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1 : 13.6

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13.6 : 1

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Solution

The correct option is A 1 : 1
We know time period of a pendulum
$T = 2 π \sqrt{\frac{l}{g}}$
where $l$ is length of pendulum and $g$ is gravity
therefore T ( time period) does not depend on density
$\Rightarrow$ 1:1

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Similar questions

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

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when it is half-filled with mercury as shown.

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. Water and mercury are filled in two identical cylindrical vessels up to the same height. Both vessels have a tiny hole in the wall at the bottom. The velocity of water and mercury coming out of the holes are

v_{1}

and

v_{2}

respectively. Then:
[Density of mercury

= 13.6 g/cc

]

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?

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 ?

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A hollow sphere of simple pendulum is first filled with mercury and then with water. The time periods are in the ratio if their densities are in the ratio 13.6 : 1.

The correct option is A 1 : 1We know time period of a pendulum T=2π√lgwhere l is length of pendulum and g is gravitytherefore T ( time period) does not depend on density⇒ 1:1

The correct option is A 1 : 1
We know time period of a pendulum
$T = 2 π \sqrt{\frac{l}{g}}$
where $l$ is length of pendulum and $g$ is gravity
therefore T ( time period) does not depend on density
$\Rightarrow$ 1:1