Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

A metal wire of diameter 1 mm is held on two knife edges separated by a distance of 50 cm. The tension in the wire is 100 N. The wires, vibrating with its fundamental frequency and a vibrating tuning fork together produce 5 beats/ sec. The tension in the wire is [hen reduced to 81 N. When the two are excited, beats are created again at the same rate. Calculate. (i) The frequency of the fork. (ii) The density of the material of the wire.

A metal wire of diameter 1 mm is held on two knife edges separated by a distance of 50 cm. The tension in the wire is 100 N. The wires, vibrating with its fundamental frequency and a vibrating tuning fork together produce 5 beats/ sec. The tension in the wire is [hen reduced to 81 N. When the two are excited, beats are created again at the same rate. Calculate.
(i)  The frequency of the fork.
(ii) The density of the material of the wire.

Grade:11

1 Answers

Aditi Chauhan
askIITians Faculty 396 Points
7 years ago
Hello Student,
Please find the answer to your question
V = 1/2ℓ √T/m = 1/2 x 0.5 √100/m = 10√m . . . . . . . . . . . . . . . . . . . . . . . . . (i)
The frequency of the tuning fork is either v + 5 or v – 5.
NOTE : On decreasing the tension, the frequency will decrease.
Therefore the frequency of tuning fork should ve v – 5.
Now, v1 = 1/2ℓ √T/m = 1/2 x 0.5 √81/m = 9/√m
This v1 should be v – 10.
∴ 10/√m – 10 = 9/√m ⇒ 10 – 9/√m = 10
M = 1/100 . . . . . . . . . . . . . . . . . . (ii)
P x π d2/4 = 1/100 (m =density x volume)
⇒ p = 4/100 x π x (10-3 )2 = 12738.85 kg/m3
From (i) and (ii) v = 10/√1/100 = 100 Hz
∴ Frequency of the fork is 95 Hz

Thanks
Aditi Chauhan
askIITians Faculty

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free