Bissoy.com
Doctors Medicines MCQs Q&A

In Parseval’s relation of Half range Fourier cosine series expansion, which of the following terms doesn’t appear?

In Parseval’s relation of Half range Fourier cosine series expansion, which of the following terms doesn’t appear? Correct Answer bn

In the expansion of a function in half range Fourier cosine series, only an and a0 appear. As the function is considered to be an even function, bn term becomes a null value as the integral becomes zero. So, only bn doesn’t appear in the parseval’s relation of half range Fourier cosine series.

Related Questions

The Fourier series of a real periodic function has only
P. Cosine terms if it is even
Q. Sine terms if it is even
R. Cosine terms if it is odd
S. Sine terms if it is odd
Which of the above statements are correct?
A lady wants to buy the following items in the given price range- 1. Tomato between Rs. 40 and Rs. 45 per kg. 2. Grapes in the price range of Rs. 80 and Rs. 90 per kg. 3. Milk packets at Rs. 23 per liter. In which shop from the following will she definitely get all her items/ A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter. B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg. C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg. D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.
Half Range Fourier Series contains either sine or cosine terms.
Let x(t) be a continuous time periodic signal with fundamental period T = 1 seconds. Let {ak} be the complex Fourier series coefficients of x(t), where k is integer valued. Consider the following statements about x(3t):
1. The complex Fourier series coefficients of x(3t) are {ak} where k is integer valued.
2. The complex Fourier series coefficients of x(3f) are {3ak} where k is integer valued.
3. The fundamental angular frequency of x(3t) is 6π rad/s.
For the three statements above, which one of the following is correct?
In half range cosine Fourier series, we assume the function to be _________
In comparing the operation of the half-controlled 2-pulse circuit with that of the fully-controlled circuit, which of the following statements are evident? 1. Since half the thyristors are replaced by diodes, a half-controlled converter costs less than a fully-controlled converter. 2. Due to the freewheeling action with a half-controlled bridge-circuit power factor is improved in half-controlled converters. 3. The AC supply current is more distorted due to its zero periods with the half-controlled circuit, compared to a fully-controlled bridge circuit. Select the correct answer using the code given below :
In half range Fourier series expansion, we know the nature of the function in its full time period.
Consider the 2 Statement: 1. An odd and imaginary signal always has an odd and imaginary Fourier transform. 2. The convolution of an odd Fourier transform with an even Fourier transform is always even. Which of the above statements is/are true: 
Which among the following type of relations are considered by Nya̅ya system as necessary relation between middle and major terms? (A) Species - species relation  (B) The causal relation  (C) Member - class relation  (D) Species - genus relation  Choose the correct answer from the options given below :
A dealer offers sells half of the eggs that he has and another half an egg to Anurag. Then he sells half of the balance eggs and another half an egg to Deepak. Then he sells half of the balance eggs and another half an egg to Sivani. In the end he is left with just 7 eggs and he claims that he never broke an egg. How many eggs did he start with?