Question

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Answer (Detailed Solution Below)

Option 2 : $2.0\ \text{m/s}$ / $2.0\ \text{m/s}$

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Detailed Solution

सही उत्तर $2.0\ \text{m/s}$ / $2.0\ \text{m/s}$ है।

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PrepSnapprepsnap.in • Part -A

Question:

A block of mass $0.5\ \text{kg}$ attached to a horizontal spring of force constant $200\ \text{N/m}$ executes SHM with amplitude $0.10\ \text{m}$. The maximum speed of the block is / $0.5\ \text{kg}$ द्रव्यमान का एक गुटका $200\ \text{N/m}$ बल-नियतांक वाले क्षैतिज स्प्रिंग से जुड़ा है और $0.10\ \text{m}$ आयाम से सरल आवर्त गति करता है। गुटके की अधिकतम चाल है

1.
$1.0\ \text{m/s}$ / $1.0\ \text{m/s}$
2.
$2.0\ \text{m/s}$ / $2.0\ \text{m/s}$
3.
$4.0\ \text{m/s}$ / $4.0\ \text{m/s}$
4.
$0.63\ \text{m/s}$ / $0.63\ \text{m/s}$

Correct Answer: $2.0\ \text{m/s}$ / $2.0\ \text{m/s}$

Here $\omega = \sqrt{k/m} = \sqrt{200/0.5} = 20\ \text{rad/s}$, so $v_{max} = \omega A = 20 \times 0.10 = 2.0\ \text{m/s}$. / यहाँ $\omega = \sqrt{k/m} = \sqrt{200/0.5} = 20\ \text{rad/s}$, अतः $v_{max} = \omega A = 20 \times 0.10 = 2.0\ \text{m/s}$।

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