In order to double the period of simple pendulum, the length of the string should be

In order to double the period of a simple pendulum, the length of the string should be

A

halved

B

doubled

C

quadrupled

D

none of the mentioned

The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is

A

$$\frac{{\text{h}}}{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}$$

B

$$\frac{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}{{\text{h}}}$$

C

$$\frac{{{{\text{h}}^2}}}{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}$$

D

$$\frac{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}{{{{\text{h}}^2}}}$$

The length of a simple pendulum which gives the same frequency as the compound pendulum, is

A

$${\text{kG}} + {l_1}$$

B

$${\text{k}}{{\text{G}}^2} + {l_1}$$

C

$$\frac{{{\text{k}}{{\text{G}}^2} + l_1^2}}{{{l_1}}}$$

D

$$\frac{{{\text{kG}} + l_1^2}}{{{l_1}}}$$

The equivalent length of a simple pendulum which gives the same frequency as a compound pendulum is

A

$$\frac{{\text{h}}}{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}$$

B

$$\frac{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}{{\text{h}}}$$

C

$$\frac{{{{\text{h}}^2}}}{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}$$

D

$$\frac{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}{{{{\text{h}}^2}}}$$

The periodic time of one oscillation for a simple pendulum is (where $$l$$ = Length of the pendulum.)

A

$$\frac{1}{{2\pi }}\sqrt {\frac{l}{{\text{g}}}} $$

B

$$\frac{1}{{2\pi }}\sqrt {\frac{{\text{g}}}{l}} $$

C

$$2\pi \sqrt {\frac{l}{{\text{g}}}} $$

D

None of these

To double the period of oscillation of a simple pendulum

A

The mass of its bob should be doubled

B

The mass of its bob should be quadrupled

C

Its length should be quadrupled

D

Its length should be doubled

The time period of a second pendulum has been increased. To make its time period 2s, its length will be.

A

Increased

B

Decreased

C

Nothing to be done

D

Everyone is correct

The time period of a second pendulum has been increased, To make its time period 2s, its length will be:

A

Increased

B

Decreased

C

Nothing to be done

D

Everyone is correct

For a simple pendulum, the period of one oscillation is

A

$$2\pi \sqrt {\frac{l}{{2{\text{g}}}}} $$

B

$$2\pi \sqrt {\frac{{2{\text{g}}}}{l}} $$

C

$$2\pi \sqrt {\frac{l}{{\text{g}}}} $$

D

$$2\pi \sqrt {\frac{{\text{g}}}{{2l}}} $$

For a simple pendulum, time period for a beat, is

A

$$\pi \sqrt {\frac{l}{{\text{g}}}} $$

B

$$\pi \sqrt {\frac{{2l}}{{\text{g}}}} $$

C

$$\pi \sqrt {\frac{{\text{g}}}{{2l}}} $$

D

$$\pi \sqrt {\frac{l}{{2{\text{g}}}}} $$

E

$$\pi \sqrt {\frac{{2{\text{g}}}}{l}} $$

In order to double the period of simple pendulum, the length of the string should be

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