MCQs of Fourier Integral (Mathematics - II - 3110015)

Showing 1 to 10 out of 21 Questions

The Fourier Integral is useful for

The Fourier integral formula is decomposition of

(a)	periodic function into non-periodic function
(b)	non-periodic function into periodic function
(c)	non-periodic function into harmonic function
(d)	harmonic function into periodic function

f (x) = \{\begin{cases} \frac{π}{2}, 0 < x < π \\ 0, x > π \end{cases}

, then

B (ω) =

The Fourier integral of

f (x) = \{\begin{cases} 2, |x| < 2 \\ 0, |x| > 2 \end{cases}

(a)	$\int_{0}^{\infty} (\frac{4 \sin 2 ω}{πω}) \cdot cosωx dω$
(b)	$\int_{0}^{\infty} (\frac{4 \sin 2 ω}{πω}) \cdot cosωx dx$
(c)	$\int_{- \infty}^{\infty} (\frac{4 \sin 2 ω}{πω}) \cdot cosωx dω$
(d)	$\int_{- \infty}^{\infty} (\frac{\sin 2 ω}{πω}) \cdot cosωx dx$

A (ω)

is zero, then given function is

B (ω)

is zero, then given function is

Fourier cosine integral of

f (x)

(a)	$\int_{0}^{\infty} A (ω) \cdot cosωx dω$
(b)	$\int_{0}^{\infty} B (ω) \cdot sinωx dω$
(c)	$\int_{- \infty}^{\infty} A (ω) \cdot cosωx dω$
(d)	$\int_{- \infty}^{\infty} B (ω) \cdot cosωx dω$

Fourier sine integral of

f (x)

(a)	$\int_{0}^{\infty} A (ω) \cdot cosωx dω$
(b)	$\int_{0}^{\infty} B (ω) \cdot sinωx dω$
(c)	$\int_{- \infty}^{\infty} A (ω) \cdot cosωx dω$
(d)	$\int_{- \infty}^{\infty} B (ω) \cdot cosωx dω$

f (x)

is an even function, then Fourier integral of

f (x)

reduces to

10.

f (x)

is odd function, then Fourier integral of

f (x)

reduces to

Showing 1 to 10 out of 21 Questions