The correct option is D 3 ms
Given that
mass of block (m)=150 g or 0.15 kg
spring constant (k)=1500 N/m.
Equation of SHM, x=x0cos(ωt+ϕ)
We know that,
ω=√km
From the given data,
ω=√15000.15=100 rad/s
Equation of SHM is x=x0cos(ωt+ϕ)
Let t1 be the time at which x=+0.8x0.
Then, 0.8x0=x0cos(ωt+ϕ)
⇒ωt1+ϕ=cos−1(0.8)=0.6435 rad .....(1)
Similarly, when it at x=+0.6x0 at time t2,
ωt2+ϕ=cos−1(0.6)=0.9272 rad ....(2)
From (1) and (2),
|ω(t2−t1)|=0.2837 rad
⇒t2−t1=0.2837ω=0.2837100≈3 ms