A particle undergoes SHM of time period 2 seconds. In what time will i

1.	A particle undergoes SHM of time period 2 seconds. In what time will it move from an extreme position to a displacement equal to half of its amplitude? (a) 1/2 s (b) 1/3 s (c) 1/4 s (d) 1/6 s
Answer» Correct Answer is: (b) 1/3 s T = 2π/ω = 2 or ω = π. x = acos ωt or a/2 = acos ωt or ωt = π/3 or t = π/3π = 1/3 s.

A particle undergoes SHM of time period 2 seconds. In what time will it move from an extreme position to a displacement equal to half of its amplitude? (a) 1/2 s (b) 1/3 s (c) 1/4 s (d) 1/6 s

Answer»

Correct Answer is: (b) 1/3 s

T = 2π/ω = 2 or ω = π.

x = acos ωt

or a/2 = acos ωt

or ωt = π/3

or t = π/3π = 1/3 s.