Four pendulums A, B, C and D are suspended from the same
elastic support as shown in Fig. A and C are of the same length, while B is smaller than A and D is larger than A. If A is given a transverse displacement,
(a) D will vibrate with maximum amplitude.
(b) C will vibrate with maximum amplitude.
(c) B will vibrate with maximum amplitude.
(d) All the four will oscillate with equal amplitude.
This is a multiple choice answer as classified in NCERT Exemplar
(b) A is given a transverse displacement. Through the elastic support the disturbance is transferred to all the pendulums.
A and C are having same length hence they will be in resonance, because their time period of oscillation.
T= hence frequency is same. So amplitude of A and C will be maximum.
<p><span data-teams="true">This is a multiple choice answer as classified in NCERT Exemplar</span></p><p> (b) A is given a transverse displacement. Through the elastic support the disturbance is transferred to all the pendulums.</p><div><div><picture><source srcset="https://images.shiksha.com/mediadata/images/articles/1745493718phpaatViK_480x360.jpeg" media=" (max-width: 500px)"><img src="https://images.shiksha.com/mediadata/images/articles/1745493718phpaatViK.jpeg" alt="" width="230" height="163"></picture></div><div><p>A and C are having same length hence they will be in resonance, because their time period of oscillation.</p>T= <span contenteditable="false"> <math> <mn>2</mn> <mi>π</mi> <mroot> <mrow> <mrow> <mfrac> <mrow> <mrow> <mi>l</mi> </mrow> </mrow> <mrow> <mrow> <mi>g</mi> </mrow> </mrow> </mfrac> </mrow> </mrow> <mrow></mrow> </mroot> </math> </span>hence frequency is same. So amplitude of A and C will be maximum.</div></div>
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