NEET Solved Paper 2014 Question 21

Question: The number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are (velocity of sound = 340 $ m{s^{-1}} $ ) [AIPMT 2014]

Options:

A) 4

B) 5

C) 7

D) 6

Show Answer

Answer:

Correct Answer: D

Solution:

  • For pipe closed at one end $ f _{n}=n( \frac{v}{4l} ) $ here n is an odd number. $ =n[ \frac{340}{4\times 85\times {10^{-2}}} ] $ $ =n[100] $ Here, n is an odd number, so for the given condition n can go up to n =11 because for n =13 condition will not be valid. N = 1, 3, 5, 7, 9, 11 So, number of possible natural oscillations could be 6.