Electronics and Communication Engineering
2025 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ECE 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.
Question 49
Open questionECMCQ2 marksNeeds review
A square metal sheet of
is placed on the
-
plane as shown in the figure below.If the surface charge density (in
) on the sheet is
, then the total charge (in
, rounded off to the nearest integer) on the sheet is ______.
Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
An electric field of
is applied along the length of a copper wire of circular cross-section with diameter
. Copper has a conductivity of
.The current (in Amperes, rounded off to two decimal places) flowing through the wire is ______.
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 51
Open questionECMSQ2 marksNeeds review
Consider a non-negative function
which is continuous and bounded over the interval
. Let
and
denote, respectively, the maximum and the minimum values of
over the interval.Among the combinations of
and
given below, choose the one(s) for which the inequality
is guaranteed to hold.
Your answerSelect all correct options. You can choose more than one.
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