Oscillations - Result Question 42

«««< HEAD:content/english/neet-pyq-chapterwise/physics/oscillations/oscillations-result-question-42.md

46. A block of mass $M$ is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value $k$. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be:

======= ####46. A block of mass $M$ is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value $k$. The mass is released from rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be:

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/oscillations/oscillations—result-question-42.md (a) $2 Mg / k$

(b) $4 Mg / k$

(c) $Mg / 2 k$

(d) $Mg / k$

[2009]

Show Answer

Answer:

Correct Answer: 46. (d)

Solution:

  1. (d) Restoring force, $f^{\prime}=-kx$

where $x$ is the extension produced in the spring.

Weight of the mass acting downward $=Mg$.

In equilibrium

$kx=Mg \quad$ or $x=\frac{Mg}{k}$