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A 1 kg block attached to a spring vibrat...

A 1 kg block attached to a spring vibrates with a frequency of 1 Hz on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to an 8 kg block placed on the same table. So, the frequency of vibration of the 8 kg block is

A

2Hz

B

`(1)/(4)Hz`

C

`(1)/(2sqrt2Hz`

D

`(1)/(2)Hz`

Text Solution

Verified by Experts

The correct Answer is:
A
`v. = (1)/(2pi) sqrt(((K + K))/(M))`
` = (1)/(2pi) sqrt((2K)/(8))`
` = (1)/(2) xx 1Hz`
` v. = (1)/(2)Hz`
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