Spring and Its Combination, Two Body Spring System
Oscillations

140615 A mass $m$ is attached to two spring as shown in figure. The spring constants of two spring are $K_{1}$ and $K_{2}$. For the frictionless surface, the time period of oscillation of mass $m$ is

1 $\frac{1}{2 \pi} \sqrt{\frac{\mathrm{K}_{1}+\mathrm{K}_{2}}{\mathrm{~m}}}$
2 $\frac{1}{2 \pi} \sqrt{\frac{\mathrm{K}_{1}-\mathrm{K}_{2}}{\mathrm{~m}}}$
3 $2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{K}_{1}+\mathrm{K}_{2}}}$
4 $2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{K}_{1}-\mathrm{K}_{2}}}$
Oscillations

140616 Two wires $A$ and $B$ of lengths in the ratio 1:2 and masses in the ratio $2: 1$ are stretched by same tension. The ratio of the fundamental frequencies of wires $A$ and $B$ is-

1 $2 \sqrt{2}: 1$
2 $1: \sqrt{2}$
3 $1: 1$
4 $\sqrt{2}: 1$
Oscillations

140617 A system consists of two springs connected is series and each having the spring constant $10 \mathrm{Nm}^{-1}$. The minimum work required to stretch this system by $1 \mathrm{~cm}$ in erg is-

1 1500
2 2000
3 3000
4 2500
Oscillations

140619 A mass of $1 \mathrm{~kg}$ falls from a height of $1 \mathrm{~m}$ and lands on a mass less platform supported by a spring having spring constant $15 \mathrm{Nm}^{-1}$ as shown in the figure. The maximum compression of the spring is.
(acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

1 $2 \mathrm{~m}$
2 $\sqrt{2} \mathrm{~m}$
3 $\left(\frac{2}{\sqrt{3}}\right) \mathrm{m}$
4 $\sqrt{3} \mathrm{~m}$
Oscillations

140620 The spring constant of a toy pistol is $k$. If the spring is compressed by a distance $x$ and a bullet of mass $m$ is thrown vertically upward that will be the maximum height attained by the bullet?

1 $\frac{\mathrm{kx}}{\mathrm{mg}}$
2 $\frac{\mathrm{kx}^{2}}{\mathrm{mg}}$
3 $\frac{\mathrm{kx}}{2 \mathrm{mg}}$
4 $\frac{\mathrm{kx}^{2}}{2 \mathrm{mg}}$
Oscillations

140615 A mass $m$ is attached to two spring as shown in figure. The spring constants of two spring are $K_{1}$ and $K_{2}$. For the frictionless surface, the time period of oscillation of mass $m$ is

1 $\frac{1}{2 \pi} \sqrt{\frac{\mathrm{K}_{1}+\mathrm{K}_{2}}{\mathrm{~m}}}$
2 $\frac{1}{2 \pi} \sqrt{\frac{\mathrm{K}_{1}-\mathrm{K}_{2}}{\mathrm{~m}}}$
3 $2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{K}_{1}+\mathrm{K}_{2}}}$
4 $2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{K}_{1}-\mathrm{K}_{2}}}$
Oscillations

140616 Two wires $A$ and $B$ of lengths in the ratio 1:2 and masses in the ratio $2: 1$ are stretched by same tension. The ratio of the fundamental frequencies of wires $A$ and $B$ is-

1 $2 \sqrt{2}: 1$
2 $1: \sqrt{2}$
3 $1: 1$
4 $\sqrt{2}: 1$
Oscillations

140617 A system consists of two springs connected is series and each having the spring constant $10 \mathrm{Nm}^{-1}$. The minimum work required to stretch this system by $1 \mathrm{~cm}$ in erg is-

1 1500
2 2000
3 3000
4 2500
Oscillations

140619 A mass of $1 \mathrm{~kg}$ falls from a height of $1 \mathrm{~m}$ and lands on a mass less platform supported by a spring having spring constant $15 \mathrm{Nm}^{-1}$ as shown in the figure. The maximum compression of the spring is.
(acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

1 $2 \mathrm{~m}$
2 $\sqrt{2} \mathrm{~m}$
3 $\left(\frac{2}{\sqrt{3}}\right) \mathrm{m}$
4 $\sqrt{3} \mathrm{~m}$
Oscillations

140620 The spring constant of a toy pistol is $k$. If the spring is compressed by a distance $x$ and a bullet of mass $m$ is thrown vertically upward that will be the maximum height attained by the bullet?

1 $\frac{\mathrm{kx}}{\mathrm{mg}}$
2 $\frac{\mathrm{kx}^{2}}{\mathrm{mg}}$
3 $\frac{\mathrm{kx}}{2 \mathrm{mg}}$
4 $\frac{\mathrm{kx}^{2}}{2 \mathrm{mg}}$
Oscillations

140615 A mass $m$ is attached to two spring as shown in figure. The spring constants of two spring are $K_{1}$ and $K_{2}$. For the frictionless surface, the time period of oscillation of mass $m$ is

1 $\frac{1}{2 \pi} \sqrt{\frac{\mathrm{K}_{1}+\mathrm{K}_{2}}{\mathrm{~m}}}$
2 $\frac{1}{2 \pi} \sqrt{\frac{\mathrm{K}_{1}-\mathrm{K}_{2}}{\mathrm{~m}}}$
3 $2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{K}_{1}+\mathrm{K}_{2}}}$
4 $2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{K}_{1}-\mathrm{K}_{2}}}$
Oscillations

140616 Two wires $A$ and $B$ of lengths in the ratio 1:2 and masses in the ratio $2: 1$ are stretched by same tension. The ratio of the fundamental frequencies of wires $A$ and $B$ is-

1 $2 \sqrt{2}: 1$
2 $1: \sqrt{2}$
3 $1: 1$
4 $\sqrt{2}: 1$
Oscillations

140617 A system consists of two springs connected is series and each having the spring constant $10 \mathrm{Nm}^{-1}$. The minimum work required to stretch this system by $1 \mathrm{~cm}$ in erg is-

1 1500
2 2000
3 3000
4 2500
Oscillations

140619 A mass of $1 \mathrm{~kg}$ falls from a height of $1 \mathrm{~m}$ and lands on a mass less platform supported by a spring having spring constant $15 \mathrm{Nm}^{-1}$ as shown in the figure. The maximum compression of the spring is.
(acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

1 $2 \mathrm{~m}$
2 $\sqrt{2} \mathrm{~m}$
3 $\left(\frac{2}{\sqrt{3}}\right) \mathrm{m}$
4 $\sqrt{3} \mathrm{~m}$
Oscillations

140620 The spring constant of a toy pistol is $k$. If the spring is compressed by a distance $x$ and a bullet of mass $m$ is thrown vertically upward that will be the maximum height attained by the bullet?

1 $\frac{\mathrm{kx}}{\mathrm{mg}}$
2 $\frac{\mathrm{kx}^{2}}{\mathrm{mg}}$
3 $\frac{\mathrm{kx}}{2 \mathrm{mg}}$
4 $\frac{\mathrm{kx}^{2}}{2 \mathrm{mg}}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Oscillations

140615 A mass $m$ is attached to two spring as shown in figure. The spring constants of two spring are $K_{1}$ and $K_{2}$. For the frictionless surface, the time period of oscillation of mass $m$ is

1 $\frac{1}{2 \pi} \sqrt{\frac{\mathrm{K}_{1}+\mathrm{K}_{2}}{\mathrm{~m}}}$
2 $\frac{1}{2 \pi} \sqrt{\frac{\mathrm{K}_{1}-\mathrm{K}_{2}}{\mathrm{~m}}}$
3 $2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{K}_{1}+\mathrm{K}_{2}}}$
4 $2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{K}_{1}-\mathrm{K}_{2}}}$
Oscillations

140616 Two wires $A$ and $B$ of lengths in the ratio 1:2 and masses in the ratio $2: 1$ are stretched by same tension. The ratio of the fundamental frequencies of wires $A$ and $B$ is-

1 $2 \sqrt{2}: 1$
2 $1: \sqrt{2}$
3 $1: 1$
4 $\sqrt{2}: 1$
Oscillations

140617 A system consists of two springs connected is series and each having the spring constant $10 \mathrm{Nm}^{-1}$. The minimum work required to stretch this system by $1 \mathrm{~cm}$ in erg is-

1 1500
2 2000
3 3000
4 2500
Oscillations

140619 A mass of $1 \mathrm{~kg}$ falls from a height of $1 \mathrm{~m}$ and lands on a mass less platform supported by a spring having spring constant $15 \mathrm{Nm}^{-1}$ as shown in the figure. The maximum compression of the spring is.
(acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

1 $2 \mathrm{~m}$
2 $\sqrt{2} \mathrm{~m}$
3 $\left(\frac{2}{\sqrt{3}}\right) \mathrm{m}$
4 $\sqrt{3} \mathrm{~m}$
Oscillations

140620 The spring constant of a toy pistol is $k$. If the spring is compressed by a distance $x$ and a bullet of mass $m$ is thrown vertically upward that will be the maximum height attained by the bullet?

1 $\frac{\mathrm{kx}}{\mathrm{mg}}$
2 $\frac{\mathrm{kx}^{2}}{\mathrm{mg}}$
3 $\frac{\mathrm{kx}}{2 \mathrm{mg}}$
4 $\frac{\mathrm{kx}^{2}}{2 \mathrm{mg}}$
Oscillations

140615 A mass $m$ is attached to two spring as shown in figure. The spring constants of two spring are $K_{1}$ and $K_{2}$. For the frictionless surface, the time period of oscillation of mass $m$ is

1 $\frac{1}{2 \pi} \sqrt{\frac{\mathrm{K}_{1}+\mathrm{K}_{2}}{\mathrm{~m}}}$
2 $\frac{1}{2 \pi} \sqrt{\frac{\mathrm{K}_{1}-\mathrm{K}_{2}}{\mathrm{~m}}}$
3 $2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{K}_{1}+\mathrm{K}_{2}}}$
4 $2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{K}_{1}-\mathrm{K}_{2}}}$
Oscillations

140616 Two wires $A$ and $B$ of lengths in the ratio 1:2 and masses in the ratio $2: 1$ are stretched by same tension. The ratio of the fundamental frequencies of wires $A$ and $B$ is-

1 $2 \sqrt{2}: 1$
2 $1: \sqrt{2}$
3 $1: 1$
4 $\sqrt{2}: 1$
Oscillations

140617 A system consists of two springs connected is series and each having the spring constant $10 \mathrm{Nm}^{-1}$. The minimum work required to stretch this system by $1 \mathrm{~cm}$ in erg is-

1 1500
2 2000
3 3000
4 2500
Oscillations

140619 A mass of $1 \mathrm{~kg}$ falls from a height of $1 \mathrm{~m}$ and lands on a mass less platform supported by a spring having spring constant $15 \mathrm{Nm}^{-1}$ as shown in the figure. The maximum compression of the spring is.
(acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

1 $2 \mathrm{~m}$
2 $\sqrt{2} \mathrm{~m}$
3 $\left(\frac{2}{\sqrt{3}}\right) \mathrm{m}$
4 $\sqrt{3} \mathrm{~m}$
Oscillations

140620 The spring constant of a toy pistol is $k$. If the spring is compressed by a distance $x$ and a bullet of mass $m$ is thrown vertically upward that will be the maximum height attained by the bullet?

1 $\frac{\mathrm{kx}}{\mathrm{mg}}$
2 $\frac{\mathrm{kx}^{2}}{\mathrm{mg}}$
3 $\frac{\mathrm{kx}}{2 \mathrm{mg}}$
4 $\frac{\mathrm{kx}^{2}}{2 \mathrm{mg}}$