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A linear SHM is represented by x=5sqrt(2...

A linear SHM is represented by `x=5sqrt(2) ("sin" 2pi t+ "cos" 2pi t)`cm.
What is the amplitude of SHM ?

A

20 cm

B

50 cm

C

10 cm

D

`5sqrt(2) cm`

Text Solution

Verified by Experts

The correct Answer is:
C
`x = 5sqrt(2) "sin" 2pi t+ 5sqrt(2) "cos" 2pi t`
` therefore A =sqrt(5sqrt(2))^(2)+(5sqrt(2))^(2))=sqrt(100)=10 cm`
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