low cable row

Let x(t) be a wide sense stationary random process with the power spectra density S_x (f) as shown in figure (a), where f is in Hertz, (Hz). The random process X(t) is input to an ideal low pass filter with the frequency response.
H(f)={■(1,|f| is less than equal to 1/2 Hz@0, |f| is greater than 1/2 Hz)┤
As shown in figure (b). The output of the low pass filter is Y(t).

Let E be the expectation operator and consider the following statements:
E(X(t))=E(Y(t))
E(X^2 (t))=E(Y^2 (t))
E(Y^2 (t))=2
Select the correct option:
Only I is true
Only II and III are true
Only I and II are true
Only I and III are true

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Question:
An unsupported excavation is made to the maximum possible depth in a clay soil having γ_t=18kN/m^3, C=100kN/m^2, ϕ=30°. The active earth pressure, according to Rankine’s Theory, at the base level of the excavation is
(A) 115.47kN/m^2 (C) 27.18kN/m^2
(B) 54.36kN/m^2 (D) 13.0kN/m^2


Theory:
When the wall moves away from the backfill, there is a decrease in the pressure on the wall and this decrease continues until a minimum value has reached after which there is no reduction in the pressure and the value will become constant. This kind of pressure is known as active earth pressure.

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THE GATE ACADEMY provide comprehensive and rigorous coaching for the GATE exams. Our student-centered guidance focuses on the strengths and weaknesses of each student. This has enabled us to achieve a proven track record of GATE toppers from our institute. THE GATE ACADEMY appreciates diversity in requirements and hence have tailor-made digital & distance learning courses for addressing these different needs.

Classroom Course- The most popular course, classroom lecture is blended with GATE focused books and digital resources such as video lectures and online tests.

tabGATE- We tied up with Samsung to take care of students who want to study anywhere, anytime.

homeGATE- Live online GATE lectures, specially designed for students who stay away from city centers and still don’t want to lose on live faculty teaching with doubt clearing.

Correspondence Course- Comprises hard-copy GATE focused books options of Tests and video lectures. Its popular amongst self-preparing GATE aspirants.

SD Card / USB GATE- Can be used on windows desktop/laptop/Android phone. Students who want to self-pace their studies, from the convenience of their home, will use this option.

For more details, visit our website and social handles as below.

1. Web: http://www.thegateacademy.com
2. Email: info@thegateacademy.com
3. Like us: https://www.facebook.com/TheGateAcademy/
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Call us at 080-61766222

Do not Forget to watch the videos of below-mentioned subjects :
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2. GATE Preparation Questions - ME: https://goo.gl/AcYAD1
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