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A block of mass M is placed on a smooth ...

A block of mass `M` is placed on a smooth table. Its two sides are attached to the fixed walls by means of collinear horizontal springs of spring constants `K_(1)` and `K_(2)` respectively `(K_(1) gt K_(2))` as shown in the figure. The block is made to oscillate horizontally along the line of two springs. The frequency of its oscillation is

A

`(1)/(2pi) sqrt(((K_(1)K_(2))/((K_(1)+K_(2))M)))`

B

`(1)/(2pi) sqrt(((M)/(K_(1)+K_(2))))`

C

`(1)/(2pi) sqrt(((K_(1)+K_(2))/(M)))`

D

`(1)/(2pi) sqrt(((K_(1)-K_(2))/(M)))`

Text Solution

Verified by Experts

The correct Answer is:
C
The springs are parallel
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