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The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False.
A
True
B
False
Correct Answer:
True
All the coordinate systems are inter-convertible and all the vector operations are applicable to it.
Convert the (10, 90, 60) coordinates to Cartesian coordinates which are in Spherical coordinates.
A
(5, 8.66, 10)
B
(5, 8.66, 0)
C
(10, 5, 8.66)
D
(0, 5, 8.66)
Describe the equation of the circular orbit in cartesian coordinates. Given, a point is P(6,054.78,6492.95) along the orbit in cartesian coordinates. Assume the centre of larger body to be the origin O(0,0).
A
(x – 6,054.78)2 + (y – 6,492.95)2 – 8,878 = 0
B
x2 + y2 – 12,548 = 0
C
x2 + y2 – 8,878 = 0
D
x2 + y2 – 78,818,884 = 0
Convert the point (3,4,5) from Cartesian to spherical coordinates
A
(7.07,45⁰,53⁰)
B
(0.707,45⁰,53⁰)
C
(7.07,54⁰,63⁰)
D
(0.707,54⁰,63⁰)
Given B= (10/r)i+( rcos θ) j+k in spherical coordinates. Find Cartesian points at (-3,4,0)
A
-2i + j
B
2i + k
C
i + 2j
D
–i – 2k
The relation between the stress component in x-direction on a horizontal plane in Cartesian coordinates and polar coordinates for vertical line load is ___________
A
σx=σr tan2θ
B
σx=σr cosec2θ
C
σx=σr cosθ
D
σx=σr sin2θ
The relation between the stress component in z-direction on a horizontal plane in Cartesian coordinates and polar coordinates for vertical line load is ___________
A
σz=σr cos2θ
B
σz=σr cosec2θ
C
σz=σr cosθ
D
σz=σr sin2θ
The relation between the shear stress component in xz-plane in Cartesian coordinates and polar coordinates for vertical line load is ___________
A
τxz=σr tan2θ
B
τxz=σr cosec2θ
C
τxz=σr sinθcosθ
D
τxz=σr sin2θ
A spherical glass vessel has a cylindrical neck 7 cm long and 4 cm in diameter. The diameter of the spherical part is 21 cm. Find the quantity of water it can hold.
A
4929 cub.cm
B
4939 cub.cm
C
4932 cub.cm
D
4930 cub.cm
Which of the below statements are true? i. Cartesian tree is not a height balanced tree ii. Cartesian tree of a sequence of unique numbers can be unique generated
A
both statements are true
B
only i. is true
C
only ii. is true
D
both are false
What happens if we apply the below operations on an input sequence? i. construct a cartesian tree for input sequence ii. put the root element of above tree in a priority queue iii. if( priority queue is not empty) then iv. search and delete minimum value in priority queue v. add that to output vi. add cartesian tree children of above node to priority queue
A
constructs a cartesian tree
B
sorts the input sequence
C
does nothing
D
produces some random output