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Q.

A body oscillates in SHM according to the equation (in SI unit), x = 5 cos (2πt + π4). Its instantaneous displacement at t = 1s is

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a

25m

b

13m

c

52m

d

12 m

answer is C.

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Detailed Solution

Given, x=5 cos 2πt+π4 (where, x is displacement)⇒             x=5 cos 2π+π4                                (At t = 1s)⇒              x=5cosπ4                     [∵ cos (360° + θ) = cos θ]⇒             x=5×12=52 m
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