A spring of force constant is cut into lengths of ratio 1: 2: 3. They are connected in series and the new force constant is k'. Then they are connected in parallel and force constant is k''. Then is k':k''
1:11
1:9
1:6
1:10
Related Questions
A mass hangs vertically from a spring of spring constant . The spring is then cut into two equal parts, and the mass is hung from one of the parts. The ratio of the frequencies of oscillation before and after cutting the spring is:
1/2
1/β2
β2
2
A block is placed on a frictionless horizontal table. The mass of the block is m and springs are attached on either side with force constants and . If the block is displaced a little and left to oscillate, then the angular frequency of oscillation will be
Two simple pendulums first of bob mass and length second of bob mass and length . = and =. If the vibrational energy of both is same. Then which is correct
A1 = A2
A1 = β2 A2
A1 = 2A2
A1 = A2/2
The vertical extension in a light spring by a weight of 1 kg suspended from the wire is 9.8 cm. The period of oscillation
Two identical springs, each with spring constant , are attached in parallel to a mass . The time period of oscillation is . If the same two springs are attached in series to the same mass , the time period of oscillation is . What is the ratio ?
2
1/2
1
β2
A spring of force constant is cut into lengths of ratio 1: 2: 3. They are connected in series and the new force constant is k'. Then they are connected in parallel and force constant is k''. Then is k':k''
A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest its time period is T. With what acceleration should the lift be accelerated upwards in order to reduce its period to Tβ2? (g is acceleration due to gravity)
2 g
3 g
4 g
g
The frequency of oscillation of a spring-mass system is . If the spring constant is quadrupled, what will be the new frequency?
A body having natural frequency $
u $' is executing forced oscillations under a driving force of frequency. The system will vibrate
with frequency of driving force $
u $
with its natural frequency
with mean frequency of the two
None of the above