PBTE | DAE | MATH-233 APPLIED MATHEMATICS-I | MCQs | Chapter : 11 Fourier Series

DAE MATH-233

Applied Mathematics-II

Chapter 11 : Fourier Series

DAE Common Technologies | Second Year

Multiple Choice Questions

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Chapter:11 (Fourier Series)

Question 1:

The series \({\frac{a_o}{2}}\,+\,{\sum_{n=1}^{∝}}\,({a_n}\,Cos\,nx\,+\,{b_n}\,Sin\,nx)\) is

Bionomial Fourier Arithmetic Geometric

Question 2:

If a function \(f(-1),=\,-f(x)\), then function is

even odd linear constant

Question 3:

If a function \(f(-1),=\,f(x)\), then function is

even odd linear constant

Question 4:

In an odd function , the Fourier co- efficient \(a_0\) is

zero 1 -1 2

Question 5:

In an odd function , the Fourier co- efficient \(a_n\) is

zero 1 -1 2

Question 6:

In an odd function , the Fourier co- efficient \(b_n\) is

zero 1 -1 2

Question 7:

The period of \(Sin\,x\) is

\(\pi\) 2\(\pi\) -\(\pi\) -2\(\pi\)

Question 8:

The period of \(Cos\,x\) is

\(\pi\) 2\(\pi\) -\(\pi\) -2\(\pi\)

Question 9:

If a function \(f(x)\) is periodic if \(f(x)\,=\,f(-------)\)

\(x\,\pm\,T\) \(\pm\,\frac{x}{T}\) \(\pm\,×\,T\) None of these

Question 10:

If function f(x) is even then \({a_0}\,=\,{\frac{1}{\pi}}\,\int_{-\pi}^{\pi}\,f(x)\,dx\)

\({\int_{0}^{\pi}}\,f(x)\,dx\) \({\frac{2}{\pi}}\,{\int_{-\pi}^{\pi}}\,f(x)\,dx\) \({\frac{2}{\pi}}\,{\int_{0}^{\pi}}\,f(x)\,dx\) \({\frac{1}{\pi}}\,{\int_{-\pi}^{\pi}}\,f(x)\,dx\)

Quiz Results

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Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12

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