Resonance and Frequency
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WAVES

173131 A solid sphere of lithium is rotating with angular frequency ' $\omega$ ' about an axis passing through its diameter. If its temperature is raised by $50^{\circ} \mathrm{C}$ then its new angular frequency is $\left(\alpha_{\text {lithium }}=60 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\right)$

1 $0.99 \omega$
2 $0.73 \omega$
3 $0.83 \omega$
4 $0.94 \omega$
WAVES

173133 Amplitude of a wave is represented by
$\mathbf{A}=\frac{\mathbf{c}}{\mathbf{a}+\mathbf{b}-\mathbf{c}}$
Then, resonance will occur when

1 $b=-c / 2$
2 $\mathrm{b}=0$ and $\mathrm{a}=\mathrm{c}$
3 $b=-a / 2$
4 None of these
WAVES

173134 A piston fitted pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13 $\mathrm{cm}, 41 \mathrm{~cm}$ and $69 \mathrm{~cm}$, the frequency of tuning fork if velocity of sound is $350 \mathrm{~m} / \mathrm{s}$, is:

1 $1250 \mathrm{~Hz}$.
2 $625 \mathrm{~Hz}$
3 $417 \mathrm{~Hz}$.
4 $715 \mathrm{~Hz}$.
WAVES

173135 Two tuning forks $P$ an $Q$ sounded together and 6 beats per second are heard. $P$ is in unison with a $30 \mathrm{~cm}$ air column open at both ends and $Q$ is in resonance when length of air column is increased by $2 \mathrm{~cm}$. The frequencies of forks $P$ and $Q$ are

1 $90 \mathrm{~Hz}$ and $84 \mathrm{~Hz}$
2 $100 \mathrm{~Hz}$ and $106 \mathrm{~Hz}$
3 $96 \mathrm{~Hz}$ and $90 \mathrm{~Hz}$
4 $206 \mathrm{~Hz}$ and $200 \mathrm{~Hz}$
WAVES

173131 A solid sphere of lithium is rotating with angular frequency ' $\omega$ ' about an axis passing through its diameter. If its temperature is raised by $50^{\circ} \mathrm{C}$ then its new angular frequency is $\left(\alpha_{\text {lithium }}=60 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\right)$

1 $0.99 \omega$
2 $0.73 \omega$
3 $0.83 \omega$
4 $0.94 \omega$
WAVES

173133 Amplitude of a wave is represented by
$\mathbf{A}=\frac{\mathbf{c}}{\mathbf{a}+\mathbf{b}-\mathbf{c}}$
Then, resonance will occur when

1 $b=-c / 2$
2 $\mathrm{b}=0$ and $\mathrm{a}=\mathrm{c}$
3 $b=-a / 2$
4 None of these
WAVES

173134 A piston fitted pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13 $\mathrm{cm}, 41 \mathrm{~cm}$ and $69 \mathrm{~cm}$, the frequency of tuning fork if velocity of sound is $350 \mathrm{~m} / \mathrm{s}$, is:

1 $1250 \mathrm{~Hz}$.
2 $625 \mathrm{~Hz}$
3 $417 \mathrm{~Hz}$.
4 $715 \mathrm{~Hz}$.
WAVES

173135 Two tuning forks $P$ an $Q$ sounded together and 6 beats per second are heard. $P$ is in unison with a $30 \mathrm{~cm}$ air column open at both ends and $Q$ is in resonance when length of air column is increased by $2 \mathrm{~cm}$. The frequencies of forks $P$ and $Q$ are

1 $90 \mathrm{~Hz}$ and $84 \mathrm{~Hz}$
2 $100 \mathrm{~Hz}$ and $106 \mathrm{~Hz}$
3 $96 \mathrm{~Hz}$ and $90 \mathrm{~Hz}$
4 $206 \mathrm{~Hz}$ and $200 \mathrm{~Hz}$
WAVES

173131 A solid sphere of lithium is rotating with angular frequency ' $\omega$ ' about an axis passing through its diameter. If its temperature is raised by $50^{\circ} \mathrm{C}$ then its new angular frequency is $\left(\alpha_{\text {lithium }}=60 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\right)$

1 $0.99 \omega$
2 $0.73 \omega$
3 $0.83 \omega$
4 $0.94 \omega$
WAVES

173133 Amplitude of a wave is represented by
$\mathbf{A}=\frac{\mathbf{c}}{\mathbf{a}+\mathbf{b}-\mathbf{c}}$
Then, resonance will occur when

1 $b=-c / 2$
2 $\mathrm{b}=0$ and $\mathrm{a}=\mathrm{c}$
3 $b=-a / 2$
4 None of these
WAVES

173134 A piston fitted pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13 $\mathrm{cm}, 41 \mathrm{~cm}$ and $69 \mathrm{~cm}$, the frequency of tuning fork if velocity of sound is $350 \mathrm{~m} / \mathrm{s}$, is:

1 $1250 \mathrm{~Hz}$.
2 $625 \mathrm{~Hz}$
3 $417 \mathrm{~Hz}$.
4 $715 \mathrm{~Hz}$.
WAVES

173135 Two tuning forks $P$ an $Q$ sounded together and 6 beats per second are heard. $P$ is in unison with a $30 \mathrm{~cm}$ air column open at both ends and $Q$ is in resonance when length of air column is increased by $2 \mathrm{~cm}$. The frequencies of forks $P$ and $Q$ are

1 $90 \mathrm{~Hz}$ and $84 \mathrm{~Hz}$
2 $100 \mathrm{~Hz}$ and $106 \mathrm{~Hz}$
3 $96 \mathrm{~Hz}$ and $90 \mathrm{~Hz}$
4 $206 \mathrm{~Hz}$ and $200 \mathrm{~Hz}$
WAVES

173131 A solid sphere of lithium is rotating with angular frequency ' $\omega$ ' about an axis passing through its diameter. If its temperature is raised by $50^{\circ} \mathrm{C}$ then its new angular frequency is $\left(\alpha_{\text {lithium }}=60 \times 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\right)$

1 $0.99 \omega$
2 $0.73 \omega$
3 $0.83 \omega$
4 $0.94 \omega$
WAVES

173133 Amplitude of a wave is represented by
$\mathbf{A}=\frac{\mathbf{c}}{\mathbf{a}+\mathbf{b}-\mathbf{c}}$
Then, resonance will occur when

1 $b=-c / 2$
2 $\mathrm{b}=0$ and $\mathrm{a}=\mathrm{c}$
3 $b=-a / 2$
4 None of these
WAVES

173134 A piston fitted pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13 $\mathrm{cm}, 41 \mathrm{~cm}$ and $69 \mathrm{~cm}$, the frequency of tuning fork if velocity of sound is $350 \mathrm{~m} / \mathrm{s}$, is:

1 $1250 \mathrm{~Hz}$.
2 $625 \mathrm{~Hz}$
3 $417 \mathrm{~Hz}$.
4 $715 \mathrm{~Hz}$.
WAVES

173135 Two tuning forks $P$ an $Q$ sounded together and 6 beats per second are heard. $P$ is in unison with a $30 \mathrm{~cm}$ air column open at both ends and $Q$ is in resonance when length of air column is increased by $2 \mathrm{~cm}$. The frequencies of forks $P$ and $Q$ are

1 $90 \mathrm{~Hz}$ and $84 \mathrm{~Hz}$
2 $100 \mathrm{~Hz}$ and $106 \mathrm{~Hz}$
3 $96 \mathrm{~Hz}$ and $90 \mathrm{~Hz}$
4 $206 \mathrm{~Hz}$ and $200 \mathrm{~Hz}$