Home
Class 11
PHYSICS
If both spring consists k(1) and k(2) ar...

If both spring consists `k_(1)` and `k_(2)` are increased to `4k_(1)` and `4k_(2)` respectively, what will be the new frequency , if f was the original frequency ?

A

f

B

2f

C

`(1)/(2)f`

D

4f

Text Solution

Verified by Experts

The correct Answer is:
B
(b) `f=(1)/(2pi)sqrt((k)/(m))` or `f prop sqrt(k)`
`k=k_(1)+k_(2)` and `k'=4(k_(1)+k_(2))=4k`
So, `f prop sqrt(k')implies f' prop sqrt(4k)`
`f' prop 2sqrt(k)implies f' prop 2f`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two identical massless springs A and B consist spring constant k_(A) and k_(B) respectively. Then :

Two springs have their force constant as k_(1) and k_(2) (k_(1) gt k_(2)) . When they are stretched by the same force.

The system shown in fig is in equilibrium . Masses m_(1) and m_(2) are 2kg and 8kg, Respectively. Spring constants k_(1) and k_(2) are 50Nm^(-1) and 70Nm^(-1) , respectively. If the compression in second spring is 0.5m. What is the compression in first spring?

Two spring P and Q having stiffness constants k_1 and k_2(ltk_1) , respectively are stretched equally. Then

Two spring of spring constant k_(1) and k_(2) are joined in series The effective spring constant of the combination is given by

Two springs of force constants k_(1) and k_(2) , are connected to a mass m as shown. The frequency of oscillation of the mass is f . If both k_(1) and k_(2) are made four times their original values, the frequency of oscillation becomes

Two springs, of force constants k_(1) and k_(2) , are connected to a mass ma as shown. The frequency of oscillation of mass is f . If both k_(1) and k_(2) are made four times their original values, the frequency of oscillation becomes

Two spring of spring constants k_(1) and k_(2) ar joined and are connected to a mass m as shown in the figure. Calculate the frequency of oscillation of mass m.

Two springs of force constants K_(1)=K_(2) are stretched by the same force. It W_(1) " and " W_(2) are the energies stored its them respectively, then

Two spring of force constants K_(1) and K_(2) (K_(1)gtK_(2)) are stretched by same force. If W_(1) and W_(2) be the work done stretching the spring then……..