﻿ Two springs of force constants k1 and k2 are connected to a mass mplaced on a horizontal frictionless surface as shown in fig (a) and (b). What is the ratio of the time periods of horizontal oscillation in cases (a) and (b) if k1 = k2?                                                        : Kaysons Education

# Two Springs Of Force Constants k1 and k2 are Connected To A Mass mplaced On A Horizontal Frictionless Surface As Shown In Fig (a) And (b). What Is The Ratio Of The Time Periods Of Horizontal Oscillation In Cases (a) And (b) If k1 = k2?

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## Question

### Solution

Correct option is

2

In case (a) the spring are connected in series. Therefore, the spring constant of the combination is given by

In case (b) the spring constant of the combination is

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Two springs of force constants k1 and k2 are connected to a mass m as shown in fig (a) and (b). What is the ratio of the time periods of vertical oscillation in cases (a) and (b) if k1 = k2?