CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Springs

A body is in ...

Question

A body is in SHM with period $T$ when oscillated from a freely suspended spring.If this spring is cut in two parts of length ratio 1:3 & again oscillated from the two parts separately,then the periods are $T_{1}$ & $T_{2}$ then $\frac{T_{1}}{T_{2}}$ is given as $\frac{1}{\sqrt{x}}$ . Find $x$ .

Open in App

Solution

Time period is inversely proportional to square root of spring constants.
Spring constant is inversely proportional to the length of spring.
$\frac{L_{1}}{L_{2}} = \frac{1}{3} = \frac{k_{2}}{k_{1}}$
So $\frac{T_{1}}{T_{2}} = \sqrt{\frac{k_{2}}{k_{1}}} = \frac{1}{\sqrt{3}}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A body is in

S H M

T

when oscillated from a freely suspended spring. If this spring is cut in two parts of length ratio

1 : 3

& again oscillated from the two parts separately, then the periods are

T_{1}

T_{2}

T_{1} / T_{2}

Q. A uniform spring has certain mass suspended from it and its period for vertical oscillation is

T_{1}

. The spring is now cut into two parts having the lengths in the ratio of 1 : 2 and a mass m is suspended with these two springs as shown in the figure. Now, time period is

T_{2}

T_{1} / T_{2}

T_{1}

is the time period of oscillation of a body suspended from a spring and

T_{2}

is the time period of oscillation of the same body suspended from another spring. If the same body suspended from a series combination of the same two springs, then its time period of oscillation is:

Q. A mass is suspended separately by two springs and the time periods in the two cases are

T_{1}

T_{2} .

If the same mass be suspended by connecting the two springs in parallel then the time period of oscillations is

T_{p}

and when the two springs are connected in series then the time period of oscillations is

T_{s}

. Then select the correct relation(s).

Q. A uniform spring has a certain mass suspended from it and its period for vertical oscillations is

T_{1}

. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillations now is

T_{2}

\frac{T_{2}}{T_{1}}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon