364068 A block of mass \(m\) is connected to a light spring of force constant \(k\). The system is placed inside a damping medium of damping constant \(b\). The instantaneous values of displacement, acceleration and energy of the block are \(x, a\) and \(E\) respectively. The initial amplitude of oscillation is \(A\) and \(\omega^{\prime}\) is the angular frequency of oscillations. The incorrect expression related to the damped oscillations is
364070 A block of mass \(0.1\;kg\) is connected to an elastic spring of spring constant \(640\,N{m^{ - 1}}\) and oscillates in a damping medium of damping constant \({10^{ - 2}}\;kg\;{s^{ - 1}}\). The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to -
364068 A block of mass \(m\) is connected to a light spring of force constant \(k\). The system is placed inside a damping medium of damping constant \(b\). The instantaneous values of displacement, acceleration and energy of the block are \(x, a\) and \(E\) respectively. The initial amplitude of oscillation is \(A\) and \(\omega^{\prime}\) is the angular frequency of oscillations. The incorrect expression related to the damped oscillations is
364070 A block of mass \(0.1\;kg\) is connected to an elastic spring of spring constant \(640\,N{m^{ - 1}}\) and oscillates in a damping medium of damping constant \({10^{ - 2}}\;kg\;{s^{ - 1}}\). The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to -
364068 A block of mass \(m\) is connected to a light spring of force constant \(k\). The system is placed inside a damping medium of damping constant \(b\). The instantaneous values of displacement, acceleration and energy of the block are \(x, a\) and \(E\) respectively. The initial amplitude of oscillation is \(A\) and \(\omega^{\prime}\) is the angular frequency of oscillations. The incorrect expression related to the damped oscillations is
364070 A block of mass \(0.1\;kg\) is connected to an elastic spring of spring constant \(640\,N{m^{ - 1}}\) and oscillates in a damping medium of damping constant \({10^{ - 2}}\;kg\;{s^{ - 1}}\). The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to -
364068 A block of mass \(m\) is connected to a light spring of force constant \(k\). The system is placed inside a damping medium of damping constant \(b\). The instantaneous values of displacement, acceleration and energy of the block are \(x, a\) and \(E\) respectively. The initial amplitude of oscillation is \(A\) and \(\omega^{\prime}\) is the angular frequency of oscillations. The incorrect expression related to the damped oscillations is
364070 A block of mass \(0.1\;kg\) is connected to an elastic spring of spring constant \(640\,N{m^{ - 1}}\) and oscillates in a damping medium of damping constant \({10^{ - 2}}\;kg\;{s^{ - 1}}\). The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to -