A particle of mass ‘m’ is executing oscillations about the origin on the x-axis. Its potential energy is U(x) = K|x| 3 where K is a positive constant. If the amplitude of oscillation is ‘a’ then its time period T is –
A
Proportional to 
B
Independent of a
C
Proportional to 
D
Proportional to a 3/2
Text Solution
Verified by ExpertsThe correct answer is:
A
Let time period depends on mass (m), amplitude & constant (k) as –
Equating dimensions both sides
α + γ = 0 ⇒ α = – γ α = 1/2
β – γ = 0 ⇒ β = γ β = –1/2
–2 γ = 1 ⇒ γ = –1/2
t ∝ 
t ∝ 
.
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