Chapter 23

Complete the following sentence. Time period of oscillation of a simple pendulum is dependent on......... (A) Length of thread (B) initial phase (C) amplitude (D) mass of bob

Complete the following sentence. In a damped oscillation of a pendulum......... (A) the sum of potential energy and kinetic energy is conserved. (B) mechanical energy is not conserved (C) the kinetic energy is conserved (D) the potential energy is conserved

If the time period of undamped oscillation is $\mathrm{T}$ and that of damped oscillation is ${\mathrm{T}}^{\prime }$, then what is the relation between $\mathrm{T}\mathrm{\&}{\mathrm{T}}^{\prime }$ (A) ${\mathrm{T}}^{\prime }<\mathrm{T}$ (B) nothing can be said, unless the drag force constant is known. (C) ${\mathrm{T}}^{\prime }=\mathrm{T}$ (D) ${\mathrm{T}}^{\prime }>\mathrm{T}$

What is the equation for a damped oscillator, where $\mathrm{k}$ and $\mathrm{b}$ are constants and $\mathrm{x}$ is displacement. (A) $\text{Missing left or extra right}$ (B) $\text{Missing left or extra right}$ (C) $\text{Missing left or extra right}$ (D) $\text{Missing left or extra right}$

In a damped oscillation with damping constant $b$. The time taken for amplitude of oscillation to drop to half what is its initial value? (A) $(\mathrm{b}/\mathrm{m})\ln 2$ (B) (b / $2\mathrm{m})\ln 2$ (C) $(\mathrm{m}/\mathrm{b})\ln 2$ (D) $(2\mathrm{m}/\mathrm{b})\ln 2$

In a damped oscillation with damping constant $b$. The time taken for its mechanical energy to drop to half. What is its value? (A) $(\mathrm{b}/\mathrm{m})\ln 2$ (B) $(\mathrm{b}/2\mathrm{m})\ln 2$ (C) $(\mathrm{m}/\mathrm{b})\ln 2$ (D) $(2\mathrm{m}/\mathrm{b})\ln 2$

For a pendulum in damped oscillation, with a bob of mass $\mathrm{m}$ and radius $\mathrm{r}$, with a string of length $\ell$ What is the time period? (A) $\mathrm{T}=2\pi \sqrt{(\ell /\mathrm{g})}$ (B) T depends on $\mathrm{m}$ (C) $\mathrm{T}>2\pi \sqrt{(\ell /\mathrm{g})}$ (D) $\mathrm{T}<2\pi \sqrt{(\ell /\mathrm{g})}$

In the experiment of simple pendulum, we have taken a thread of $140\mathrm{cm}$, and an amplitude of $5\mathrm{cm}$ to begin with. Here $\theta$ to begin with is about........ (A) $5^{\circ }$ (B) $8^{\circ }$ (C) $2^{\circ }$ (D) $3^{\circ }$

In the experiment of simple pendulum we keep $\theta <5^{\circ }$, so as ensure $\dots \dots \dots$ (A) mass $\mathrm{m}$ does not interfere in the time period (B) $\mathrm{g}$ remains constant (C) the air drag is not too much (D) $\sin \theta \cong \theta$ where by motion becomes simple harmonic.