Home
Class 12
PHYSICS
When a string is divided into three seg...

When a string is divided into three segments of
lengths `l_(1),l_(2) and l_(3)` the fundamental frequencies of
these three segments are `v_(1), v_(2) and v_(3)` respectively.
The original fundamental frequency (v) of the string is

A

`sqrt(v)=sqrt(v_(1))+sqrt(v_(2))+sqrt(v_(3))`

B

`v=v_(1)+v_(2)+v_(3)`

C

`(1)/(v)=(1)/(v_(1))+(1)/(v_(2))+(1)/(v_(3))`

D

`(1)/(sqrt(v))=(1)/(sqrt(v_(1)))+(1)/(sqrt(v_(2)))+(1)/(sqrt(v_(3)))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If n_(1), n_(2 ) "and" n_(3) are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by

A thin wire of 99 cm is fixed at both ends as shown in figure. The wire is kept under a tension and is divided into three segments of lengths l_(1),l_(2) and l_(3) as shown in figure. When the wire is made to vibrate, the segment vibrate respectively with their fundamental frequencies in the ratio 1:2:3 . Then the lenghts l_(1),l_(2),l_(3) of the segments respectively are (in cm)

In a pipe opened at both ends n_(1) and n_(2) be the frequencies corresponding to vibrating lengths L_(1) and L_(2) respectively .The end correction is

Prove that a pipe open at both end of length of 2L , has same fundamental frequency as another pipe of closed at one end of length L.

Two identical photo-cathodes receive light of frequencies f_1 and f_2 . If the velocities of the photoelectrons (of mass m) coming out are v_1 and v_2 respectively, then

A stretched wire of lenth 110 cm is divided into three segments whose frequencies are in ratio 1 : 2 : 3. Their length must be

Velocity of light ray in two media A and Bare v_(1) and v_(2) respectively. What is the refractive index of A with respect to B?

Velocity of light ray in two media A and Bare v_(1) and v_(2) respectively. What is the refractive index of B with respect to A?

Two particles A and B, move with constant velocities vec(v_(1))" and "vec(v_(2)) . At the initial moment their position vectors are vec(r_(1))" and "vec(r_(2)) respectively. The condition for particle A and B for their collision is