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Spring force

Two springs of force constants k_{1} and k_{2}, are connected

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Medium

Solving time: 3 mins

Two springs of force constants $k_{1}$ and $k_{2}$ , are connected to a mass $m$ as shown. The frequency of oscillation of the mass is $f$ . If both $k_{1}$ and $k_{2}$ are made four times their original values, the frequency of oscillation becomes

(a) $\frac{f}{2}$
(b) $\frac{f}{4}$
(c) $4 f$
(d) $2 f$

Views: 5,517 students

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2007

Found 3 tutors discussing this question

Mila Discussed

Two springs of force constants

k_{1}

and

k_{2}

, are connected to a mass

m

as shown. The frequency of oscillation of the mass is

f

. If both

k_{1}

and

k_{2}

are made four times their original values, the frequency of oscillation becomes

(a)

\frac{f}{2}

(b)

\frac{f}{4}

(c)

4 f

(d)

2 f

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

Exp. (d)

f = \frac{1}{2 π} \frac{k _{1} + k _{2}}{m}

and

f^{'} = \frac{1}{2 π} \frac{4 k _{1} + 4 k _{2}}{m}

\Rightarrow f^{'} = \frac{1}{2 π} \cdot 2 \frac{k _{1} + k _{2}}{m} = 2 f

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Question Text	Two springs of force constants $k_{1}$ and $k_{2}$ , are connected to a mass $m$ as shown. The frequency of oscillation of the mass is $f$ . If both $k_{1}$ and $k_{2}$ are made four times their original values, the frequency of oscillation becomes (a) $\frac{f}{2}$ (b) $\frac{f}{4}$ (c) $4 f$ (d) $2 f$
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	132

Text solutionVerified

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