Question

A pendulum 'X' completes 25 oscillations in 30sec and pendulum 'Y' complete 30 oscillations in 25 sec . The ratio of the time period of X and Y is

Answer 1

Answer:

Given:

Pendulum X makes 25 oscillations in 30 seconds.

Pendulum Y makes 30 oscillations in 25 seconds.

To find:

Ratio of time period of X and Y

Definitions:

Time period is defined as the time taken to complete one complete oscillation by the oscillatory object.

Calculation:

For Pendulum X :

25 oscillations in 30 seconds

∴ 1 oscillation in 30/25 = 6/5 seconds.

So time period of X = 6/5 seconds.

For Pendulum Y:

30 oscillations in 25 seconds.

∴ 1 oscillation in 25/30 = 5/6 seconds.

So time period of Y = 5/6 seconds.

So ratio = X : Y

=> ratio = (6/5) : (5/6)

=> ratio = 36/25

So the ratio is 36 : 25.

Answer 2

$\huge\bold\red{GIVEN:-}$

A pendulum 'X' completes 25 oscillations in 30sec and pendulum.

'Y' complete 30 oscillations in 25 sec .

$\huge\bold\red{ANSWER:-}$

IN PENDULUM X.

.°. 1 oscillations=30/25=6/5seconds.

IN PENDULUM Y.

.°. 1 oscillations=25/30=5/6seconds.

RATIO IS X:Y

hence,

(6/5):(5/6)

ratio =(6×6)/(5×5)

ratio=36/25

.°. ratio =36:25

$\huge\bold\red{THANKS.}$