Courses

# Partial Derivatives And Euler's Equation MCQ Level - 1

## 10 Questions MCQ Test Topic wise Tests for IIT JAM Physics | Partial Derivatives And Euler's Equation MCQ Level - 1

Description
This mock test of Partial Derivatives And Euler's Equation MCQ Level - 1 for Physics helps you for every Physics entrance exam. This contains 10 Multiple Choice Questions for Physics Partial Derivatives And Euler's Equation MCQ Level - 1 (mcq) to study with solutions a complete question bank. The solved questions answers in this Partial Derivatives And Euler's Equation MCQ Level - 1 quiz give you a good mix of easy questions and tough questions. Physics students definitely take this Partial Derivatives And Euler's Equation MCQ Level - 1 exercise for a better result in the exam. You can find other Partial Derivatives And Euler's Equation MCQ Level - 1 extra questions, long questions & short questions for Physics on EduRev as well by searching above.
QUESTION: 1

### If z = xy In (x, y) then

Solution:  QUESTION: 2

### Suppose is equal to

Solution: u and v are homogeneous function of degree one on adding  QUESTION: 3

### If then the value of Solution: f(xy) is homogeneous function of degree –2
So, using Euler's equation QUESTION: 4

If satisfy the equation then

Solution:   Again using the given condition QUESTION: 5

If then equal to

Solution:

The correct answer is QUESTION: 6 then Solution: f1 is homogeneous of degree 1 and f2 is homogeneous of degree zero  The correct answers are: QUESTION: 7 Solution:

We have  u is homogeneous function of degree n Now differentiate partially w.r.t. x again The correct answer is: QUESTION: 8

Find a function w = f(xy) whose first partial derivatives are and and whose value at point (ln2, 0) is ln2.

Solution: Integrate both sides w.r.t. x So, on comparing the above two equation  (on integration) Now, using (ln2, 0) is ln2, we get
c = –2 The correct answer is: QUESTION: 9

If equal to

Solution: So, by Euler's theorem The correct answer is: 2 tan u

QUESTION: 10

The contour on xy plane where partial derivative of x2 + y2 with respect to y is equal to the partial derivative of 6y + 4x w.r.t. x is

Solution:

So, 2y = 4
y = 2
The correct answer is: y = 2