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Question 15. 5 You have learnt that a travelling wave in one dimension is represented by a function y = f (x, t) where x and t must appear in the combination x – v t or x + v t, i.e. y = f (x ± v t). Is the converse true? Examine if the following functions for y can possibly represent a travelling wave :(a) (x – vt )2 (b) log [(x + vt)/x0] (c) 1/(x + vt)Answer in ncert is c. Why?

Question 15. 5 You have learnt that a travelling wave in one dimension is represented by a function y = f (x, t) where x and t must appear in the combination x – v t or x + v t, i.e. y = f (x ± v t). Is the converse true? Examine if the following functions for y can possibly represent a travelling wave :(a) (x – vt )2 (b) log [(x + vt)/x0] (c) 1/(x + vt)Answer in ncert is c. Why?

Grade:12th pass

4 Answers

Arun
25763 Points
3 years ago
No, the converse is not true. The basic requirement for a wave function to represent a travelling wave is that for all values of x and f, wave function must have a finite value. Out of the given functions for y only (iii) satisfies this condition. The other three functions (i), (ii) and (iv) cannot represent a travelling wave as the necessary condition is not satisfied by these functions
aritra maity
42 Points
3 years ago
PLEASE EXPLAIN  HOW OPTION C SATISFY THE CONDITION OF TRAVELLING WAVE? WHY THE OTHERS DID NOT? GIVE THE SOLUTION.
 
 
Irene sunil
11 Points
3 years ago
none of them can have a finite value .the answer is none of the options . the function for a travelling wave is not in the options . and the converse is not true
 
randheer
19 Points
2 years ago
The converse is not true. An obvious requirement for an acceptable function for a
travelling wave is that it should be finite everywhere and at all times.
none of them is finite. so answer is all are non travelling wave.
thanks

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