Force, Energy and their relation in Simple Harmonic Motion
PHXI14:OSCILLATIONS

364107 Statement A :
The graph of total energy of a particle in SHM w.r.t position is a straight line with zero slope.
Statement B :
Total energy of particle in SHM remains constant throughout its motion.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI14:OSCILLATIONS

364108 A particle is executing simple harmonic motion with amplitude \(A\). When the ratio of its kinetic energy to the potential energy is \(\dfrac{1}{4}\), its displacement from its mean position is

1 \(\dfrac{2}{\sqrt{5}} A\)
2 \(\dfrac{\sqrt{3}}{2} A\)
3 \(\frac{3}{4}\;A\)
4 \(\frac{1}{4}\;A\)
PHXI14:OSCILLATIONS

364109 For a particle executing S.H.M, the kinetic energy \(k\) is given by \(k=10 \cos ^{2} \omega t\). The maximum value of P.E is

1 2.5
2 20
3 5
4 10
PHXI14:OSCILLATIONS

364110 The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibrium position is

1 \(4: 1\)
2 \(8: 1\)
3 \(3: 1\)
4 \(2: 1\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI14:OSCILLATIONS

364107 Statement A :
The graph of total energy of a particle in SHM w.r.t position is a straight line with zero slope.
Statement B :
Total energy of particle in SHM remains constant throughout its motion.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI14:OSCILLATIONS

364108 A particle is executing simple harmonic motion with amplitude \(A\). When the ratio of its kinetic energy to the potential energy is \(\dfrac{1}{4}\), its displacement from its mean position is

1 \(\dfrac{2}{\sqrt{5}} A\)
2 \(\dfrac{\sqrt{3}}{2} A\)
3 \(\frac{3}{4}\;A\)
4 \(\frac{1}{4}\;A\)
PHXI14:OSCILLATIONS

364109 For a particle executing S.H.M, the kinetic energy \(k\) is given by \(k=10 \cos ^{2} \omega t\). The maximum value of P.E is

1 2.5
2 20
3 5
4 10
PHXI14:OSCILLATIONS

364110 The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibrium position is

1 \(4: 1\)
2 \(8: 1\)
3 \(3: 1\)
4 \(2: 1\)
PHXI14:OSCILLATIONS

364107 Statement A :
The graph of total energy of a particle in SHM w.r.t position is a straight line with zero slope.
Statement B :
Total energy of particle in SHM remains constant throughout its motion.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI14:OSCILLATIONS

364108 A particle is executing simple harmonic motion with amplitude \(A\). When the ratio of its kinetic energy to the potential energy is \(\dfrac{1}{4}\), its displacement from its mean position is

1 \(\dfrac{2}{\sqrt{5}} A\)
2 \(\dfrac{\sqrt{3}}{2} A\)
3 \(\frac{3}{4}\;A\)
4 \(\frac{1}{4}\;A\)
PHXI14:OSCILLATIONS

364109 For a particle executing S.H.M, the kinetic energy \(k\) is given by \(k=10 \cos ^{2} \omega t\). The maximum value of P.E is

1 2.5
2 20
3 5
4 10
PHXI14:OSCILLATIONS

364110 The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibrium position is

1 \(4: 1\)
2 \(8: 1\)
3 \(3: 1\)
4 \(2: 1\)
PHXI14:OSCILLATIONS

364107 Statement A :
The graph of total energy of a particle in SHM w.r.t position is a straight line with zero slope.
Statement B :
Total energy of particle in SHM remains constant throughout its motion.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI14:OSCILLATIONS

364108 A particle is executing simple harmonic motion with amplitude \(A\). When the ratio of its kinetic energy to the potential energy is \(\dfrac{1}{4}\), its displacement from its mean position is

1 \(\dfrac{2}{\sqrt{5}} A\)
2 \(\dfrac{\sqrt{3}}{2} A\)
3 \(\frac{3}{4}\;A\)
4 \(\frac{1}{4}\;A\)
PHXI14:OSCILLATIONS

364109 For a particle executing S.H.M, the kinetic energy \(k\) is given by \(k=10 \cos ^{2} \omega t\). The maximum value of P.E is

1 2.5
2 20
3 5
4 10
PHXI14:OSCILLATIONS

364110 The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibrium position is

1 \(4: 1\)
2 \(8: 1\)
3 \(3: 1\)
4 \(2: 1\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here