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A body oscillates with SHM according to ...

A body oscillates with SHM according to the equation (in SHM unit ), `x=5"cos"(2pit+(pi)/(4))` . Its instantaneous displacement at t=1 s is

A

`(sqrt(2))/(5)`m

B

`(1)/(sqrt(3))`m

C

`(5)/(sqrt(2))`m

D

`(1)/(2)` m

Text Solution

Verified by Experts

The correct Answer is:
C
(c) Given , `x=5 "cos"(2pit+(pi)/(4))` (where , x is a displacement)
`impliesx=5 "cos"(2pi+(pi)/(4))` (at t=1 s)
`" "[because "cos" (360^(@)+theta)="cos"theta]` `impliesx="cos"(pi)/(4)impliesx=5xx(1)/(sqrt(2))`
`therefore x=(5)/(sqrt(2))`m
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