Some Systems Executing Simple Harmonic Motion
PHXI14:OSCILLATIONS

364338 A rectangular block of mass ' \(M\) ' and cross sectional area ' \(A\) ' floats on a liquid of density ' \(\rho\) '. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency ' \(n\) ' then

1 \(n\alpha \,A\)
2 \(n\alpha \,{A^2}\)
3 \(n\alpha \,\sqrt A \)
4 \(n\alpha \,{A^3}\)
PHXI14:OSCILLATIONS

364339 The period of oscillations of mass \({m=200 {~g}}\) poured into a bent tube (see figure), whose right arm makes an angle \({30^{\circ}}\) with the vertical and whose left arm is vertical, is \({T}\) seconds. The cross-sectional area of the tube is \({A=0.5 {~cm}^{2}}\). The value of \({10 T}\) is Neglect viscosity.
supporting img

1 8
2 11
3 15
4 20
PHXI14:OSCILLATIONS

364340 Assertion :
The height of a liquid column in a U-tube is \(0.3\;m\). If the liquid in one of the limbs is depressed and then released the time period of a liquid column will be \(1.1 \mathrm{sec}\).
Reason :
Value of density of liquid is needed to calculate the period.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364341 Motion of an oscillating liquid column in a U tube is

1 Non-periodic
2 Simple harmonic motion with period
3 Simple harmonic and time-period is directlyproportional to the density of the liquid
4 Simple harmonic and time-period is independent of the density of the liquid
PHXI14:OSCILLATIONS

364342 A block of mass \(M\) is performing SHM with amplitude A on a smooth horizontal surface. At the extreme position a small block of mass \(m\) falls vertically and sticks to \(M\). New amplitude of oscillation will be

1 \(A\)
2 \(A \dfrac{M+m}{m}\)
3 \(A \sqrt{\dfrac{M}{M+m}}\)
4 \(A \dfrac{M}{M+m}\)
PHXI14:OSCILLATIONS

364338 A rectangular block of mass ' \(M\) ' and cross sectional area ' \(A\) ' floats on a liquid of density ' \(\rho\) '. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency ' \(n\) ' then

1 \(n\alpha \,A\)
2 \(n\alpha \,{A^2}\)
3 \(n\alpha \,\sqrt A \)
4 \(n\alpha \,{A^3}\)
PHXI14:OSCILLATIONS

364339 The period of oscillations of mass \({m=200 {~g}}\) poured into a bent tube (see figure), whose right arm makes an angle \({30^{\circ}}\) with the vertical and whose left arm is vertical, is \({T}\) seconds. The cross-sectional area of the tube is \({A=0.5 {~cm}^{2}}\). The value of \({10 T}\) is Neglect viscosity.
supporting img

1 8
2 11
3 15
4 20
PHXI14:OSCILLATIONS

364340 Assertion :
The height of a liquid column in a U-tube is \(0.3\;m\). If the liquid in one of the limbs is depressed and then released the time period of a liquid column will be \(1.1 \mathrm{sec}\).
Reason :
Value of density of liquid is needed to calculate the period.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364341 Motion of an oscillating liquid column in a U tube is

1 Non-periodic
2 Simple harmonic motion with period
3 Simple harmonic and time-period is directlyproportional to the density of the liquid
4 Simple harmonic and time-period is independent of the density of the liquid
PHXI14:OSCILLATIONS

364342 A block of mass \(M\) is performing SHM with amplitude A on a smooth horizontal surface. At the extreme position a small block of mass \(m\) falls vertically and sticks to \(M\). New amplitude of oscillation will be

1 \(A\)
2 \(A \dfrac{M+m}{m}\)
3 \(A \sqrt{\dfrac{M}{M+m}}\)
4 \(A \dfrac{M}{M+m}\)
PHXI14:OSCILLATIONS

364338 A rectangular block of mass ' \(M\) ' and cross sectional area ' \(A\) ' floats on a liquid of density ' \(\rho\) '. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency ' \(n\) ' then

1 \(n\alpha \,A\)
2 \(n\alpha \,{A^2}\)
3 \(n\alpha \,\sqrt A \)
4 \(n\alpha \,{A^3}\)
PHXI14:OSCILLATIONS

364339 The period of oscillations of mass \({m=200 {~g}}\) poured into a bent tube (see figure), whose right arm makes an angle \({30^{\circ}}\) with the vertical and whose left arm is vertical, is \({T}\) seconds. The cross-sectional area of the tube is \({A=0.5 {~cm}^{2}}\). The value of \({10 T}\) is Neglect viscosity.
supporting img

1 8
2 11
3 15
4 20
PHXI14:OSCILLATIONS

364340 Assertion :
The height of a liquid column in a U-tube is \(0.3\;m\). If the liquid in one of the limbs is depressed and then released the time period of a liquid column will be \(1.1 \mathrm{sec}\).
Reason :
Value of density of liquid is needed to calculate the period.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364341 Motion of an oscillating liquid column in a U tube is

1 Non-periodic
2 Simple harmonic motion with period
3 Simple harmonic and time-period is directlyproportional to the density of the liquid
4 Simple harmonic and time-period is independent of the density of the liquid
PHXI14:OSCILLATIONS

364342 A block of mass \(M\) is performing SHM with amplitude A on a smooth horizontal surface. At the extreme position a small block of mass \(m\) falls vertically and sticks to \(M\). New amplitude of oscillation will be

1 \(A\)
2 \(A \dfrac{M+m}{m}\)
3 \(A \sqrt{\dfrac{M}{M+m}}\)
4 \(A \dfrac{M}{M+m}\)
PHXI14:OSCILLATIONS

364338 A rectangular block of mass ' \(M\) ' and cross sectional area ' \(A\) ' floats on a liquid of density ' \(\rho\) '. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency ' \(n\) ' then

1 \(n\alpha \,A\)
2 \(n\alpha \,{A^2}\)
3 \(n\alpha \,\sqrt A \)
4 \(n\alpha \,{A^3}\)
PHXI14:OSCILLATIONS

364339 The period of oscillations of mass \({m=200 {~g}}\) poured into a bent tube (see figure), whose right arm makes an angle \({30^{\circ}}\) with the vertical and whose left arm is vertical, is \({T}\) seconds. The cross-sectional area of the tube is \({A=0.5 {~cm}^{2}}\). The value of \({10 T}\) is Neglect viscosity.
supporting img

1 8
2 11
3 15
4 20
PHXI14:OSCILLATIONS

364340 Assertion :
The height of a liquid column in a U-tube is \(0.3\;m\). If the liquid in one of the limbs is depressed and then released the time period of a liquid column will be \(1.1 \mathrm{sec}\).
Reason :
Value of density of liquid is needed to calculate the period.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364341 Motion of an oscillating liquid column in a U tube is

1 Non-periodic
2 Simple harmonic motion with period
3 Simple harmonic and time-period is directlyproportional to the density of the liquid
4 Simple harmonic and time-period is independent of the density of the liquid
PHXI14:OSCILLATIONS

364342 A block of mass \(M\) is performing SHM with amplitude A on a smooth horizontal surface. At the extreme position a small block of mass \(m\) falls vertically and sticks to \(M\). New amplitude of oscillation will be

1 \(A\)
2 \(A \dfrac{M+m}{m}\)
3 \(A \sqrt{\dfrac{M}{M+m}}\)
4 \(A \dfrac{M}{M+m}\)
PHXI14:OSCILLATIONS

364338 A rectangular block of mass ' \(M\) ' and cross sectional area ' \(A\) ' floats on a liquid of density ' \(\rho\) '. It is given a small vertical displacement from equilibrium, it starts oscillating with frequency ' \(n\) ' then

1 \(n\alpha \,A\)
2 \(n\alpha \,{A^2}\)
3 \(n\alpha \,\sqrt A \)
4 \(n\alpha \,{A^3}\)
PHXI14:OSCILLATIONS

364339 The period of oscillations of mass \({m=200 {~g}}\) poured into a bent tube (see figure), whose right arm makes an angle \({30^{\circ}}\) with the vertical and whose left arm is vertical, is \({T}\) seconds. The cross-sectional area of the tube is \({A=0.5 {~cm}^{2}}\). The value of \({10 T}\) is Neglect viscosity.
supporting img

1 8
2 11
3 15
4 20
PHXI14:OSCILLATIONS

364340 Assertion :
The height of a liquid column in a U-tube is \(0.3\;m\). If the liquid in one of the limbs is depressed and then released the time period of a liquid column will be \(1.1 \mathrm{sec}\).
Reason :
Value of density of liquid is needed to calculate the period.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364341 Motion of an oscillating liquid column in a U tube is

1 Non-periodic
2 Simple harmonic motion with period
3 Simple harmonic and time-period is directlyproportional to the density of the liquid
4 Simple harmonic and time-period is independent of the density of the liquid
PHXI14:OSCILLATIONS

364342 A block of mass \(M\) is performing SHM with amplitude A on a smooth horizontal surface. At the extreme position a small block of mass \(m\) falls vertically and sticks to \(M\). New amplitude of oscillation will be

1 \(A\)
2 \(A \dfrac{M+m}{m}\)
3 \(A \sqrt{\dfrac{M}{M+m}}\)
4 \(A \dfrac{M}{M+m}\)