A spring with k=200 N/m is compressed by 0.1 m. Potential energy stored is MCQ with Answer and Explanation

A spring with k=200 N/m is compressed by 0.1 m. Potential energy stored is
A. 2 J
B. 20 J
C. 1 J
D. 0.5 J
Answer: Option C
Solution (By JKSSB Mock Tests)
U = ½ k x² = ½×200×0.01 = 1 J.

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Question #1
A transformer steps up 220 V to 2200 V. The turn ratio (secondary to primary) is
A. 1:10
B. 1:1
C. 220:1
D. 10:1

Correct Answer: Option D


Explanation:
For ideal transformer, V_s/V_p = N_s/N_p. So N_s/N_p = 2200/220 = 10. So secondary turns 10 times primary. Ratio 10:1. Step-up increases voltage.

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Question #2
Carnot efficiency η = 1 - T₂/T₁. If T₁=600K, T₂=300K, η is:
A. 75%
B. 100%
C. 25%
D. 50%

Correct Answer: Option D


Explanation:
η = 1 - 300/600 = 1 - 0.5 = 0.5 = 50%. Maximum possible efficiency for given temperatures. Memory aid: 'η_Carnot = 1 - T_cold/T_hot; always < 100%'. Thermodynamics calculation frequently tested in competitive exams.

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Question #3
Three 3Ω resistors in parallel: equivalent resistance is:
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B. 3Ω
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Correct Answer: Option D


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1/R_eq = 1/3 + 1/3 + 1/3 = 1 ⇒ R_eq = 1Ω. For n equal resistors in parallel: R_eq = R/n. Memory tip: 'Parallel: reciprocal sum; result < smallest resistor'. Basic circuit calculation frequently tested in competitive exams to verify parallel combination formula.

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