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. A true, R false
B. A false, R true
C. Both true, R explains A
D. Both true, R doesn't explain A
Answer: Option C
Solution (By JKSSB Mock Tests)
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.

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Question #1
Which of the following is an ohmic conductor?
A. Copper wire
B. Diode
C. Electrolyte
D. Transistor

Correct Answer: Option A


Explanation:
Copper wire obeys Ohm's law (V ∝ I) at constant temperature. Diode, transistor are non-ohmic (non-linear). Electrolytes can be non-linear. Metals are ohmic.

This question belongs to: Science Physics
Question #2
Resistance of wire: R = ρL/A. If length tripled and area doubled, new R is:
A. 6R
B. 1.5R
C. 3R
D. R/6

Correct Answer: Option B


Explanation:
R' = ρ(3L)/(2A) = (3/2)(ρL/A) = 1.5R. Resistance scales directly with length, inversely with area. Memory aid: 'R ∝ L/A; changes multiply'. Proportional reasoning problem testing resistance formula, frequently appearing in competitive electricity sections.

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Question #3
Soft iron is universally preferred for making the core of a transformer or an electromagnet because it possesses:
A. High retentivity and high coercivity
B. Low retentivity and high coercivity
C. High retentivity and low coercivity
D. Low retentivity and low coercivity

Correct Answer: Option D


Explanation:
A transformer core is subject to alternating magnetic fields, tracing out a hysteresis loop repeatedly. To minimize energy loss (hysteresis loss), the area of this loop must be small, requiring low coercivity (easily demagnetized). It also requires low retentivity so it loses magnetism rapidly when current stops. Steel, conversely, has high retentivity and coercivity, used for permanent magnets.

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