A uniform spring of force constant $k$ is cut into two pieces, the lengths of which are in the ratio $1 : 2$. The ratio of the force constants of the shorter and the longer pieces is
A uniform spring of force constant $k$ is cut into two pieces, the lengths of which are in the ratio $1 : 2$. The ratio of the force constants of the shorter and the longer pieces is
- A
$1:3$
- B
$1:2$
- C
$2:3$
- D
$2:1$
Similar Questions
A clock $S$ is based on oscillations of a spring and a clock $P$ is based on pendulum motion. Both clocks run at the same rate on earth. On a planet having same density as earth but twice the radius then
A clock $S$ is based on oscillations of a spring and a clock $P$ is based on pendulum motion. Both clocks run at the same rate on earth. On a planet having same density as earth but twice the radius then
One end of a spring of force constant k is fixed to a vertical wall and the other to a block of mass m resting on a smooth horizontal surface. There is another wall at a distance ${x_0}$ from the black. The spring is then compressed by $2{x_0}$ and released. The time taken to strike the wall is
One end of a spring of force constant k is fixed to a vertical wall and the other to a block of mass m resting on a smooth horizontal surface. There is another wall at a distance ${x_0}$ from the black. The spring is then compressed by $2{x_0}$ and released. The time taken to strike the wall is
A spring balance has a scale that reads from $0$ to $50\; kg$. The length of the scale is $20\; cm .$ A body suspended from this balance, when displaced and released, oscillates with a period of $0.6\; s$. What is the weight of the body in $N$?
A spring balance has a scale that reads from $0$ to $50\; kg$. The length of the scale is $20\; cm .$ A body suspended from this balance, when displaced and released, oscillates with a period of $0.6\; s$. What is the weight of the body in $N$?
If a spring has time period $T$, and is cut into $n$ equal parts, then the time period of each part will be
If a spring has time period $T$, and is cut into $n$ equal parts, then the time period of each part will be
- [AIEEE 2002]
Springs of spring constants $K, 2K, 4K, 8K,$ ..... are connected in series. A mass $40\, gm$ is attached to the lower end of last spring and the system is allowed to vibrate. What is the time period of oscillation ..... $\sec$. (Given $K = 2\, N/cm$)
Springs of spring constants $K, 2K, 4K, 8K,$ ..... are connected in series. A mass $40\, gm$ is attached to the lower end of last spring and the system is allowed to vibrate. What is the time period of oscillation ..... $\sec$. (Given $K = 2\, N/cm$)