Question

A block of mass m = 10 kg is suspended with the help of a wire AB, whose linear mass density is 0.01 kg/m. There is a point C on wire such that AC = 1 m & BC = 2.5 m. A tuning fork is used to vibrate the wire such that the point C is a node. Frequency of tuning fork can be -

(A) 100 Hz 

(B) 150 Hz 

(C) 250 Hz 

(D) 300 Hz

Answer 1

Correct option: (A, D)

Explanation:

Suppose n loops are formed in wire AC and m loops are formed in wire BC

So the loops in wires AC should be n = 2, 4, 6 .......

So the loops in wires BC should be m = 5, 10, 15 .......

Fundamental frequencies of wire AC as well as BC are : 

f = 100 Hz, 200 Hz, 300 Hz ........