Pendulum (Simple Pendulum and Compound Pendulum)
Oscillations

140559 Two light springs of force constants $k_{1}$ and $k_{2}$ and a block of mass $m$ are in one line $A B$ on a smooth horizontal table, such that one end of each spring is fixed to rigid support and other end is attached to block of mass $\mathrm{m} \mathrm{kg}$ as shown in figure. The frequency of vibration is:

1 $\mathrm{n}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}_{1}+\mathrm{k}_{2}}{\mathrm{~m}}}$
2 $\mathrm{n}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}_{1} \mathrm{k}_{2}}{\mathrm{~m}}}$
3 $\mathrm{n}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}_{1}-\mathrm{k}_{2}}{\mathrm{~m}}}$
4 none of these
Oscillations

140560 Two simple pendulums first (A) of bob mass $M_{1}$ and length $L_{1}$, second (B) of bob mass $M_{2}$ and length $L_{2} \cdot M_{1}=M_{2}$ and $L_{1}=2 L_{2}$. If the vibrational energy of both is same. Then which of the following is correct?

1 Amplitude of $\mathrm{B}$ is greater than that of $\mathrm{A}$
2 Amplitude of B is smaller than that of $A$
3 Amplitude will be same
4 None of the above
Oscillations

140561 The length of seconds pendulum is $1 \mathrm{~m}$ on the earth. If the mass and diameter of the planet is double than that of the earth, then the length of the seconds pendulum on the planet will be

1 $0.3 \mathrm{~m}$
2 $0.4 \mathrm{~m}$
3 $0.5 \mathrm{~m}$
4 $0.2 \mathrm{~m}$
Oscillations

140562 The bob of a simple pendulum performs S.H.M. with period ' $T$ ' in air and with period ' $T_{1}$ ' in water. Relation between ' $T$ ' and ' $T_{1}$ ' is (neglect friction due to water, density of the material of the bob is $=\frac{9}{8} \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$, density of water $=1 \mathrm{~g} / \mathrm{cc}$ )

1 $\mathrm{T}_{1}=3 \mathrm{~T}$
2 $\mathrm{T}_{1}=2 \mathrm{~T}$
3 $\mathrm{T}_{1}=\mathrm{T}$
4 $\mathrm{T}_{1}=\mathrm{T} / 2$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Oscillations

140559 Two light springs of force constants $k_{1}$ and $k_{2}$ and a block of mass $m$ are in one line $A B$ on a smooth horizontal table, such that one end of each spring is fixed to rigid support and other end is attached to block of mass $\mathrm{m} \mathrm{kg}$ as shown in figure. The frequency of vibration is:

1 $\mathrm{n}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}_{1}+\mathrm{k}_{2}}{\mathrm{~m}}}$
2 $\mathrm{n}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}_{1} \mathrm{k}_{2}}{\mathrm{~m}}}$
3 $\mathrm{n}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}_{1}-\mathrm{k}_{2}}{\mathrm{~m}}}$
4 none of these
Oscillations

140560 Two simple pendulums first (A) of bob mass $M_{1}$ and length $L_{1}$, second (B) of bob mass $M_{2}$ and length $L_{2} \cdot M_{1}=M_{2}$ and $L_{1}=2 L_{2}$. If the vibrational energy of both is same. Then which of the following is correct?

1 Amplitude of $\mathrm{B}$ is greater than that of $\mathrm{A}$
2 Amplitude of B is smaller than that of $A$
3 Amplitude will be same
4 None of the above
Oscillations

140561 The length of seconds pendulum is $1 \mathrm{~m}$ on the earth. If the mass and diameter of the planet is double than that of the earth, then the length of the seconds pendulum on the planet will be

1 $0.3 \mathrm{~m}$
2 $0.4 \mathrm{~m}$
3 $0.5 \mathrm{~m}$
4 $0.2 \mathrm{~m}$
Oscillations

140562 The bob of a simple pendulum performs S.H.M. with period ' $T$ ' in air and with period ' $T_{1}$ ' in water. Relation between ' $T$ ' and ' $T_{1}$ ' is (neglect friction due to water, density of the material of the bob is $=\frac{9}{8} \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$, density of water $=1 \mathrm{~g} / \mathrm{cc}$ )

1 $\mathrm{T}_{1}=3 \mathrm{~T}$
2 $\mathrm{T}_{1}=2 \mathrm{~T}$
3 $\mathrm{T}_{1}=\mathrm{T}$
4 $\mathrm{T}_{1}=\mathrm{T} / 2$
Oscillations

140559 Two light springs of force constants $k_{1}$ and $k_{2}$ and a block of mass $m$ are in one line $A B$ on a smooth horizontal table, such that one end of each spring is fixed to rigid support and other end is attached to block of mass $\mathrm{m} \mathrm{kg}$ as shown in figure. The frequency of vibration is:

1 $\mathrm{n}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}_{1}+\mathrm{k}_{2}}{\mathrm{~m}}}$
2 $\mathrm{n}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}_{1} \mathrm{k}_{2}}{\mathrm{~m}}}$
3 $\mathrm{n}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}_{1}-\mathrm{k}_{2}}{\mathrm{~m}}}$
4 none of these
Oscillations

140560 Two simple pendulums first (A) of bob mass $M_{1}$ and length $L_{1}$, second (B) of bob mass $M_{2}$ and length $L_{2} \cdot M_{1}=M_{2}$ and $L_{1}=2 L_{2}$. If the vibrational energy of both is same. Then which of the following is correct?

1 Amplitude of $\mathrm{B}$ is greater than that of $\mathrm{A}$
2 Amplitude of B is smaller than that of $A$
3 Amplitude will be same
4 None of the above
Oscillations

140561 The length of seconds pendulum is $1 \mathrm{~m}$ on the earth. If the mass and diameter of the planet is double than that of the earth, then the length of the seconds pendulum on the planet will be

1 $0.3 \mathrm{~m}$
2 $0.4 \mathrm{~m}$
3 $0.5 \mathrm{~m}$
4 $0.2 \mathrm{~m}$
Oscillations

140562 The bob of a simple pendulum performs S.H.M. with period ' $T$ ' in air and with period ' $T_{1}$ ' in water. Relation between ' $T$ ' and ' $T_{1}$ ' is (neglect friction due to water, density of the material of the bob is $=\frac{9}{8} \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$, density of water $=1 \mathrm{~g} / \mathrm{cc}$ )

1 $\mathrm{T}_{1}=3 \mathrm{~T}$
2 $\mathrm{T}_{1}=2 \mathrm{~T}$
3 $\mathrm{T}_{1}=\mathrm{T}$
4 $\mathrm{T}_{1}=\mathrm{T} / 2$
Oscillations

140559 Two light springs of force constants $k_{1}$ and $k_{2}$ and a block of mass $m$ are in one line $A B$ on a smooth horizontal table, such that one end of each spring is fixed to rigid support and other end is attached to block of mass $\mathrm{m} \mathrm{kg}$ as shown in figure. The frequency of vibration is:

1 $\mathrm{n}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}_{1}+\mathrm{k}_{2}}{\mathrm{~m}}}$
2 $\mathrm{n}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}_{1} \mathrm{k}_{2}}{\mathrm{~m}}}$
3 $\mathrm{n}=\frac{1}{2 \pi} \sqrt{\frac{\mathrm{k}_{1}-\mathrm{k}_{2}}{\mathrm{~m}}}$
4 none of these
Oscillations

140560 Two simple pendulums first (A) of bob mass $M_{1}$ and length $L_{1}$, second (B) of bob mass $M_{2}$ and length $L_{2} \cdot M_{1}=M_{2}$ and $L_{1}=2 L_{2}$. If the vibrational energy of both is same. Then which of the following is correct?

1 Amplitude of $\mathrm{B}$ is greater than that of $\mathrm{A}$
2 Amplitude of B is smaller than that of $A$
3 Amplitude will be same
4 None of the above
Oscillations

140561 The length of seconds pendulum is $1 \mathrm{~m}$ on the earth. If the mass and diameter of the planet is double than that of the earth, then the length of the seconds pendulum on the planet will be

1 $0.3 \mathrm{~m}$
2 $0.4 \mathrm{~m}$
3 $0.5 \mathrm{~m}$
4 $0.2 \mathrm{~m}$
Oscillations

140562 The bob of a simple pendulum performs S.H.M. with period ' $T$ ' in air and with period ' $T_{1}$ ' in water. Relation between ' $T$ ' and ' $T_{1}$ ' is (neglect friction due to water, density of the material of the bob is $=\frac{9}{8} \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$, density of water $=1 \mathrm{~g} / \mathrm{cc}$ )

1 $\mathrm{T}_{1}=3 \mathrm{~T}$
2 $\mathrm{T}_{1}=2 \mathrm{~T}$
3 $\mathrm{T}_{1}=\mathrm{T}$
4 $\mathrm{T}_{1}=\mathrm{T} / 2$