Assertion: Acceleration in SHM is maximum at extremes. Reason: Restoring force ∝ displacement. MCQ with Answer and Explanation

Assertion: Acceleration in SHM is maximum at extremes. Reason: Restoring force ∝ displacement.

A. Both true, R doesn't explain A

B. A true, R false

C. A false, R true

D. Both true, R explains A

Answer: Option D

Solution (By JKExamLibrary)

Assertion true: a = -ω²x, max at max |x|. Reason true: F = -kx (Hooke's law), and F = ma ⇒ a ∝ -x. Reason correctly explains why acceleration peaks at extremes. Memory tip: 'SHM: F ∝ -x ⇒ a ∝ -x'. Assertion-reason testing SHM fundamentals, frequently examined in competitive exams.

This question belongs to: Science Physics

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Physics Questions

Question #1 Report Error

A radioactive sample has a half-life of 5 years. What fraction of the original active nuclei will remain undecayed after 15 years?

A. 1/8

B. 1/2

C. 1/3

D. 1/15

View Answer & Solution Discuss

Correct Answer: Option A

Explanation:
The number of half-lives (n) that have passed is total time / half-life = 15 / 5 = 3 half-lives. The fraction of the sample remaining undecayed is given strictly by the formula (1/2)^n. Therefore, the fraction remaining is (1/2)^3 = 1/2 * 1/2 * 1/2 = 1/8.

This question belongs to: Science Physics

Question #2 Report Error

A radioactive substance has half-life of 10 days. Fraction remaining after 30 days is

A. 1/16

B. 1/8

C. 1/4

D. 1/2

View Answer & Solution Discuss

Correct Answer: Option B

Explanation:
Number of half-lives = 30/10 = 3. Remaining = (1/2)³ = 1/8. Exponential decay N = N₀(1/2)^(t/T). Radioactive decay constant λ = ln2/T.

This question belongs to: Science Physics