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NEET
Exam
NEET
Subject
Physics
Chapter
Oscillations

NEET · Physics · Oscillations

Given below are two statements: One is labelled as Assertion (A)...

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : A small body suspended by a light spring performing SHM. When the entire system is immersed in a non-viscous liquid period of oscillating does not change. Reason (R) : In simple harmonic motion the acceleration is always in a direction opposite to that of the displacement from mean position. In the light of the above statements, choose the most appropriate answer from the options given below:Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)

Options

  1. ABoth (A) and (R) are true and (R) is the correct explanation of (A).
  2. BBoth (A) and (R) are true and (R) is NOT the correct explanation of (A).
  3. C(A) is true but (R) is false.
  4. D(A) is false but (R) is true.

Correct answer

B. Both (A) and (R) are true and (R) is NOT the correct explanation of (A).

Step-by-step solution

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)
(1) (\rho_{\mathrm{L}} \mathrm{Vg}+\mathrm{Kx}_0=\mathrm{Mg}) (2) FR=−[K(x+x0)+ρLVg−Mg]=−[Kx+Kx0+ρLVg−Mg]=−Kx\begin{aligned} & \mathrm{F}_{\mathrm{R}}=-\left[\mathrm{K}\left(\mathrm{x}+\mathrm{x}_0\right)+\rho_{\mathrm{L}} \mathrm{Vg}-\mathrm{Mg}\right] \\ & =-\left[\mathrm{Kx}+\mathrm{Kx}_0+\rho_{\mathrm{L}} \mathrm{Vg}-\mathrm{Mg}\right] \\ & =-\mathrm{Kx} \end{aligned}) (3) (a=\frac{F_R}{M}=-\frac{K x}{M} \Rightarrow \omega=\sqrt{\frac{K}{M}} \Rightarrow T=2 \pi \sqrt{\frac{M}{K}})$
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