A body executing SHM has amplitude 5 cm and time period 2 s. Maximum velocity is MCQ with Answer and Explanation

A body executing SHM has amplitude 5 cm and time period 2 s. Maximum velocity is
A. 5π cm/s
B. 2.5π cm/s
C. 20π cm/s
D. 10π cm/s
Answer: Option A
Solution (By JKSSB Mock Tests)
v_max = ωA = (2π/T) A = (2π/2)×5 = 5π cm/s.

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Practice More Physics Questions

Question #1
The commercial unit of electrical energy is kWh. 1 kWh equals how many joules?
A. 3.6 × 10⁵ J
B. 3.6 × 10⁶ J
C. 3.6 × 10⁴ J
D. 3.6 × 10³ J

Correct Answer: Option B


Explanation:
1 kWh = 1000 W × 3600 s = 3,600,000 J = 3.6 × 10⁶ J. This is a standard conversion. Power (watt) × time (hour) gives energy. 1 watt = 1 J/s. Remember this for electricity bills.

This question belongs to: Science Physics
Question #2
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

Correct Answer: Option C


Explanation:
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
Question #3
The percentage error in measurement of a cube's side is 2%. Maximum percentage error in its volume is:
A. 8%
B. 6%
C. 2%
D. 4%

Correct Answer: Option B


Explanation:
Volume V = a³. For error propagation: % error in V = 3 × % error in a. Given 2% error in side, volume error = 3×2% = 6%. Power rule: if Q = xⁿ, %ΔQ = |n|×%Δx. Memory tip: Volume depends on cube of length ⇒ errors triple. Common in experimental error analysis questions.

This question belongs to: Science Physics