364428 Assertion :
The periodic time of a hard spring is less as compared to that of a soft spring.
Reason :
Spring constant, is large for soft spring.

364429 One end of an ideal spring of force constant \(k\) is fixed at ceiling and other end is loaded with a block of mass \(m\). If equilibrium elongation of the spring is \(x\), then time period of vibration of the spring mass system is ( \(g = \) acceleration due to gravity)

364430 Two bodies of masses \(1\;kg\) and \(4\;kg\) are connected to a vertical spring, as shown in the figure. The smaller mass executes simple harmonic motion of angular frequency \(25\,rad/s\), and amplitude \(1.6\;cm\) while the bigger mass remains stationary on the ground. The maximum force exerted by the system on the floor is (take \(g = 10\;m{s^{ - 2}}\)).

364431 A small ball is suspended by a thread of length \({l=1 {~m}}\) at the point \({O}\) on the wall, forming a small angle \({\alpha=2^{\circ}}\) with the vertical (as shown in figure). Then the thread with ball was deviated through a small angle \({\beta=4^{\circ}}\) and set free. Assuming the collision of the ball against the wall to be perfectly elastic, the oscillation period of such a pendulum is (Take \(g = {\pi ^2}\)).

364432 A pendulum oscillates simple harmonically and only if
i. The size of the bob of pendulum is negligible in comparison with the length of the pendulum
ii. The angular amplitude is less than \(10^{\circ}\)

364428 Assertion :
The periodic time of a hard spring is less as compared to that of a soft spring.
Reason :
Spring constant, is large for soft spring.

364429 One end of an ideal spring of force constant \(k\) is fixed at ceiling and other end is loaded with a block of mass \(m\). If equilibrium elongation of the spring is \(x\), then time period of vibration of the spring mass system is ( \(g = \) acceleration due to gravity)

364430 Two bodies of masses \(1\;kg\) and \(4\;kg\) are connected to a vertical spring, as shown in the figure. The smaller mass executes simple harmonic motion of angular frequency \(25\,rad/s\), and amplitude \(1.6\;cm\) while the bigger mass remains stationary on the ground. The maximum force exerted by the system on the floor is (take \(g = 10\;m{s^{ - 2}}\)).

364431 A small ball is suspended by a thread of length \({l=1 {~m}}\) at the point \({O}\) on the wall, forming a small angle \({\alpha=2^{\circ}}\) with the vertical (as shown in figure). Then the thread with ball was deviated through a small angle \({\beta=4^{\circ}}\) and set free. Assuming the collision of the ball against the wall to be perfectly elastic, the oscillation period of such a pendulum is (Take \(g = {\pi ^2}\)).

364432 A pendulum oscillates simple harmonically and only if
i. The size of the bob of pendulum is negligible in comparison with the length of the pendulum
ii. The angular amplitude is less than \(10^{\circ}\)

364428 Assertion :
The periodic time of a hard spring is less as compared to that of a soft spring.
Reason :
Spring constant, is large for soft spring.

364429 One end of an ideal spring of force constant \(k\) is fixed at ceiling and other end is loaded with a block of mass \(m\). If equilibrium elongation of the spring is \(x\), then time period of vibration of the spring mass system is ( \(g = \) acceleration due to gravity)

364430 Two bodies of masses \(1\;kg\) and \(4\;kg\) are connected to a vertical spring, as shown in the figure. The smaller mass executes simple harmonic motion of angular frequency \(25\,rad/s\), and amplitude \(1.6\;cm\) while the bigger mass remains stationary on the ground. The maximum force exerted by the system on the floor is (take \(g = 10\;m{s^{ - 2}}\)).

364431 A small ball is suspended by a thread of length \({l=1 {~m}}\) at the point \({O}\) on the wall, forming a small angle \({\alpha=2^{\circ}}\) with the vertical (as shown in figure). Then the thread with ball was deviated through a small angle \({\beta=4^{\circ}}\) and set free. Assuming the collision of the ball against the wall to be perfectly elastic, the oscillation period of such a pendulum is (Take \(g = {\pi ^2}\)).

364432 A pendulum oscillates simple harmonically and only if
i. The size of the bob of pendulum is negligible in comparison with the length of the pendulum
ii. The angular amplitude is less than \(10^{\circ}\)

364428 Assertion :
The periodic time of a hard spring is less as compared to that of a soft spring.
Reason :
Spring constant, is large for soft spring.

364429 One end of an ideal spring of force constant \(k\) is fixed at ceiling and other end is loaded with a block of mass \(m\). If equilibrium elongation of the spring is \(x\), then time period of vibration of the spring mass system is ( \(g = \) acceleration due to gravity)

364430 Two bodies of masses \(1\;kg\) and \(4\;kg\) are connected to a vertical spring, as shown in the figure. The smaller mass executes simple harmonic motion of angular frequency \(25\,rad/s\), and amplitude \(1.6\;cm\) while the bigger mass remains stationary on the ground. The maximum force exerted by the system on the floor is (take \(g = 10\;m{s^{ - 2}}\)).

364431 A small ball is suspended by a thread of length \({l=1 {~m}}\) at the point \({O}\) on the wall, forming a small angle \({\alpha=2^{\circ}}\) with the vertical (as shown in figure). Then the thread with ball was deviated through a small angle \({\beta=4^{\circ}}\) and set free. Assuming the collision of the ball against the wall to be perfectly elastic, the oscillation period of such a pendulum is (Take \(g = {\pi ^2}\)).

364432 A pendulum oscillates simple harmonically and only if
i. The size of the bob of pendulum is negligible in comparison with the length of the pendulum
ii. The angular amplitude is less than \(10^{\circ}\)

364428 Assertion :
The periodic time of a hard spring is less as compared to that of a soft spring.
Reason :
Spring constant, is large for soft spring.

364429 One end of an ideal spring of force constant \(k\) is fixed at ceiling and other end is loaded with a block of mass \(m\). If equilibrium elongation of the spring is \(x\), then time period of vibration of the spring mass system is ( \(g = \) acceleration due to gravity)

364430 Two bodies of masses \(1\;kg\) and \(4\;kg\) are connected to a vertical spring, as shown in the figure. The smaller mass executes simple harmonic motion of angular frequency \(25\,rad/s\), and amplitude \(1.6\;cm\) while the bigger mass remains stationary on the ground. The maximum force exerted by the system on the floor is (take \(g = 10\;m{s^{ - 2}}\)).

364431 A small ball is suspended by a thread of length \({l=1 {~m}}\) at the point \({O}\) on the wall, forming a small angle \({\alpha=2^{\circ}}\) with the vertical (as shown in figure). Then the thread with ball was deviated through a small angle \({\beta=4^{\circ}}\) and set free. Assuming the collision of the ball against the wall to be perfectly elastic, the oscillation period of such a pendulum is (Take \(g = {\pi ^2}\)).

364432 A pendulum oscillates simple harmonically and only if
i. The size of the bob of pendulum is negligible in comparison with the length of the pendulum
ii. The angular amplitude is less than \(10^{\circ}\)