Damped Simple Harmonic Motion
PHXI14:OSCILLATIONS

364193 A particle executing simple harmonic motion along \(y\)-axis has its motion described by the equation \(y=A \sin (\omega t)+B\). The amplitude of the simple harmonic motion is

1 \(B\)
2 \(A\)
3 \(\sqrt{A+B}\)
4 \(A+B\)
PHXI14:OSCILLATIONS

364194 Two particles undergo SHM along parallel lines with tha same time period (T) and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time:
supporting img

1 \(3 T / 8\)
2 \(T / 8\)
3 \(4 T / 3\)
4 \(T / 6\)
PHXI14:OSCILLATIONS

364195 A particle performing SHM starts equilibrium position and its time period is 16 seconds. After 2 seconds its velocity is \(\pi m / s\). Amplitude of oscillation is \(\left(\cos 45^{\circ}=\dfrac{1}{\sqrt{2}}\right)\)

1 \(2\sqrt 2 \,m\)
2 \(4\sqrt 2 \,m\)
3 \(6\sqrt 2 \,m\)
4 \(8\sqrt 2 \,m\)
PHXI14:OSCILLATIONS

364196 A particle executes simple harmonic motion and is located at \(x=a, b\) and \(\mathrm{c}\) at times \(t_{0}, 2 t_{0}\) and \(3 t_{0}\) respectively. The frequency of the oscillation is:

1 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+c}{2 b}\right)\)
2 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+2 b}{3 c}\right)\)
3 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+b}{2 c}\right)\)
4 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{2 a+3 c}{b}\right)\)
PHXI14:OSCILLATIONS

364197 A particle executes simple harmonic motion between \(x=-A\) and \(x=+A\). If time taken by particle to go from \(x=0\) to \(\dfrac{A}{2}\) is \(2 s\); then time taken by particle in going from \(x=\dfrac{A}{2}\) to \(A\) is

1 \(1.5\;s\)
2 \(3\;s\)
3 \(4\;s\)
4 \(2\;s\)
PHXI14:OSCILLATIONS

364193 A particle executing simple harmonic motion along \(y\)-axis has its motion described by the equation \(y=A \sin (\omega t)+B\). The amplitude of the simple harmonic motion is

1 \(B\)
2 \(A\)
3 \(\sqrt{A+B}\)
4 \(A+B\)
PHXI14:OSCILLATIONS

364194 Two particles undergo SHM along parallel lines with tha same time period (T) and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time:
supporting img

1 \(3 T / 8\)
2 \(T / 8\)
3 \(4 T / 3\)
4 \(T / 6\)
PHXI14:OSCILLATIONS

364195 A particle performing SHM starts equilibrium position and its time period is 16 seconds. After 2 seconds its velocity is \(\pi m / s\). Amplitude of oscillation is \(\left(\cos 45^{\circ}=\dfrac{1}{\sqrt{2}}\right)\)

1 \(2\sqrt 2 \,m\)
2 \(4\sqrt 2 \,m\)
3 \(6\sqrt 2 \,m\)
4 \(8\sqrt 2 \,m\)
PHXI14:OSCILLATIONS

364196 A particle executes simple harmonic motion and is located at \(x=a, b\) and \(\mathrm{c}\) at times \(t_{0}, 2 t_{0}\) and \(3 t_{0}\) respectively. The frequency of the oscillation is:

1 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+c}{2 b}\right)\)
2 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+2 b}{3 c}\right)\)
3 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+b}{2 c}\right)\)
4 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{2 a+3 c}{b}\right)\)
PHXI14:OSCILLATIONS

364197 A particle executes simple harmonic motion between \(x=-A\) and \(x=+A\). If time taken by particle to go from \(x=0\) to \(\dfrac{A}{2}\) is \(2 s\); then time taken by particle in going from \(x=\dfrac{A}{2}\) to \(A\) is

1 \(1.5\;s\)
2 \(3\;s\)
3 \(4\;s\)
4 \(2\;s\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI14:OSCILLATIONS

364193 A particle executing simple harmonic motion along \(y\)-axis has its motion described by the equation \(y=A \sin (\omega t)+B\). The amplitude of the simple harmonic motion is

1 \(B\)
2 \(A\)
3 \(\sqrt{A+B}\)
4 \(A+B\)
PHXI14:OSCILLATIONS

364194 Two particles undergo SHM along parallel lines with tha same time period (T) and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time:
supporting img

1 \(3 T / 8\)
2 \(T / 8\)
3 \(4 T / 3\)
4 \(T / 6\)
PHXI14:OSCILLATIONS

364195 A particle performing SHM starts equilibrium position and its time period is 16 seconds. After 2 seconds its velocity is \(\pi m / s\). Amplitude of oscillation is \(\left(\cos 45^{\circ}=\dfrac{1}{\sqrt{2}}\right)\)

1 \(2\sqrt 2 \,m\)
2 \(4\sqrt 2 \,m\)
3 \(6\sqrt 2 \,m\)
4 \(8\sqrt 2 \,m\)
PHXI14:OSCILLATIONS

364196 A particle executes simple harmonic motion and is located at \(x=a, b\) and \(\mathrm{c}\) at times \(t_{0}, 2 t_{0}\) and \(3 t_{0}\) respectively. The frequency of the oscillation is:

1 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+c}{2 b}\right)\)
2 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+2 b}{3 c}\right)\)
3 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+b}{2 c}\right)\)
4 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{2 a+3 c}{b}\right)\)
PHXI14:OSCILLATIONS

364197 A particle executes simple harmonic motion between \(x=-A\) and \(x=+A\). If time taken by particle to go from \(x=0\) to \(\dfrac{A}{2}\) is \(2 s\); then time taken by particle in going from \(x=\dfrac{A}{2}\) to \(A\) is

1 \(1.5\;s\)
2 \(3\;s\)
3 \(4\;s\)
4 \(2\;s\)
PHXI14:OSCILLATIONS

364193 A particle executing simple harmonic motion along \(y\)-axis has its motion described by the equation \(y=A \sin (\omega t)+B\). The amplitude of the simple harmonic motion is

1 \(B\)
2 \(A\)
3 \(\sqrt{A+B}\)
4 \(A+B\)
PHXI14:OSCILLATIONS

364194 Two particles undergo SHM along parallel lines with tha same time period (T) and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time:
supporting img

1 \(3 T / 8\)
2 \(T / 8\)
3 \(4 T / 3\)
4 \(T / 6\)
PHXI14:OSCILLATIONS

364195 A particle performing SHM starts equilibrium position and its time period is 16 seconds. After 2 seconds its velocity is \(\pi m / s\). Amplitude of oscillation is \(\left(\cos 45^{\circ}=\dfrac{1}{\sqrt{2}}\right)\)

1 \(2\sqrt 2 \,m\)
2 \(4\sqrt 2 \,m\)
3 \(6\sqrt 2 \,m\)
4 \(8\sqrt 2 \,m\)
PHXI14:OSCILLATIONS

364196 A particle executes simple harmonic motion and is located at \(x=a, b\) and \(\mathrm{c}\) at times \(t_{0}, 2 t_{0}\) and \(3 t_{0}\) respectively. The frequency of the oscillation is:

1 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+c}{2 b}\right)\)
2 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+2 b}{3 c}\right)\)
3 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+b}{2 c}\right)\)
4 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{2 a+3 c}{b}\right)\)
PHXI14:OSCILLATIONS

364197 A particle executes simple harmonic motion between \(x=-A\) and \(x=+A\). If time taken by particle to go from \(x=0\) to \(\dfrac{A}{2}\) is \(2 s\); then time taken by particle in going from \(x=\dfrac{A}{2}\) to \(A\) is

1 \(1.5\;s\)
2 \(3\;s\)
3 \(4\;s\)
4 \(2\;s\)
PHXI14:OSCILLATIONS

364193 A particle executing simple harmonic motion along \(y\)-axis has its motion described by the equation \(y=A \sin (\omega t)+B\). The amplitude of the simple harmonic motion is

1 \(B\)
2 \(A\)
3 \(\sqrt{A+B}\)
4 \(A+B\)
PHXI14:OSCILLATIONS

364194 Two particles undergo SHM along parallel lines with tha same time period (T) and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time:
supporting img

1 \(3 T / 8\)
2 \(T / 8\)
3 \(4 T / 3\)
4 \(T / 6\)
PHXI14:OSCILLATIONS

364195 A particle performing SHM starts equilibrium position and its time period is 16 seconds. After 2 seconds its velocity is \(\pi m / s\). Amplitude of oscillation is \(\left(\cos 45^{\circ}=\dfrac{1}{\sqrt{2}}\right)\)

1 \(2\sqrt 2 \,m\)
2 \(4\sqrt 2 \,m\)
3 \(6\sqrt 2 \,m\)
4 \(8\sqrt 2 \,m\)
PHXI14:OSCILLATIONS

364196 A particle executes simple harmonic motion and is located at \(x=a, b\) and \(\mathrm{c}\) at times \(t_{0}, 2 t_{0}\) and \(3 t_{0}\) respectively. The frequency of the oscillation is:

1 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+c}{2 b}\right)\)
2 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+2 b}{3 c}\right)\)
3 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{a+b}{2 c}\right)\)
4 \(\dfrac{1}{2 \pi t_{0}} \cos ^{-1}\left(\dfrac{2 a+3 c}{b}\right)\)
PHXI14:OSCILLATIONS

364197 A particle executes simple harmonic motion between \(x=-A\) and \(x=+A\). If time taken by particle to go from \(x=0\) to \(\dfrac{A}{2}\) is \(2 s\); then time taken by particle in going from \(x=\dfrac{A}{2}\) to \(A\) is

1 \(1.5\;s\)
2 \(3\;s\)
3 \(4\;s\)
4 \(2\;s\)