1.

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 isA. `(sqrt(2))/(5)`mB. `(1)/(sqrt(3))`mC. `(1)/(2)` mD. `(5)/(sqrt(2))` m

Answer» Correct Answer - D
(e) 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]`
`implies x=5"cos"(pi)/(4)impliesx=5xx(1)/(sqrt(2))`
`therefore x=(5)/(sqrt(2)) m`


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