AP EAMCET · PHYSICS · Oscillations

The scale of a spring balance which can measure from $0$ to $15 kg$ is $0.25 m$ long. If a body suspended from this balance oscillates with a time period $\frac{2 π}{5}$ seconds, neglecting the mass of the spring, find the mass of the body suspended.

A $24 kg$
B $1 kg$
C $20 kg$
D $7 kg$

Verified Solution

Answer & Solution

Correct Answer

(A) $24 kg$

Step-by-step Solution

Detailed explanation

The spring constant of the spring is, k=Fx=15×100.25=600 N m-1 Time period of oscillations, T=2πmk ⇒2π5=2πm600 ⇒15=1m600 ⇒125=m600 ⇒m=60025=24 kg

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From AP EAMCET

Explore more questions on app

The scale of a spring balance which can measure from 0 to 15 kg is 0.25 m long. If a body suspended from this balance oscillates with a time period 2π5 seconds, neglecting the mass of the spring, find the mass of the body suspended.

Step-by-step Solution

The scale of a spring balance which can measure from $0$ to $15 kg$ is $0.25 m$ long. If a body suspended from this balance oscillates with a time period $\frac{2 π}{5}$ seconds, neglecting the mass of the spring, find the mass of the body suspended.