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Physics — Unit 1 — Test 6

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Cutoff (GEN): 70%

1/10

1

For f(x)=cos(33x), complex Fourier coefficients c_n on (−π,π) are

A

All c_n=0

B

c_{±k}=1

C

c_{±k}=1/2 and others 0

D

c_k=1, c_{−k}=0

2

MGF of Poisson(λ) is

A

exp(t^2/2)

B

1/(1−λ t)

C

exp(λ t)

D

exp(λ(e^{t}−1))

3

For f(x)=cos(37x), complex Fourier coefficients c_n on (−π,π) are

A

c_k=1, c_{−k}=0

B

All c_n=0

C

c_{±k}=1

D

c_{±k}=1/2 and others 0

4

MGF of Poisson(λ) is

A

exp(t^2/2)

B

exp(λ(e^{t}−1))

C

1/(1−λ t)

D

exp(λ t)

5

For f(x)=cos(41x), complex Fourier coefficients c_n on (−π,π) are

A

All c_n=0

B

c_{±k}=1/2 and others 0

C

c_k=1, c_{−k}=0

D

c_{±k}=1

6

MGF of Poisson(λ) is

A

exp(t^2/2)

B

exp(λ(e^{t}−1))

C

exp(λ t)

D

1/(1−λ t)

7

For f(x)=cos(45x), complex Fourier coefficients c_n on (−π,π) are

A

c_k=1, c_{−k}=0

B

c_{±k}=1

C

c_{±k}=1/2 and others 0

D

All c_n=0

8

MGF of Poisson(λ) is

A

exp(λ t)

B

exp(t^2/2)

C

1/(1−λ t)

D

exp(λ(e^{t}−1))

9

For f(x)=cos(49x), complex Fourier coefficients c_n on (−π,π) are

A

c_{±k}=1/2 and others 0

B

c_k=1, c_{−k}=0

C

All c_n=0

D

c_{±k}=1

10

MGF of Poisson(λ) is

A

exp(λ t)

B

exp(λ(e^{t}−1))

C

1/(1−λ t)

D

exp(t^2/2)

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Rank	User	Score	Date
#1	info@tamilalliance.com	0%	September 9, 2025

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