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)

1 Answer

Answer :

a) (7.07,450,530)

Related questions

Description : 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

Last Answer : a) -2i + j

Description : The Cartesian coordinates can be related to cylindrical coordinates and spherical coordinates. State True/False. a) True b) False

Last Answer : a) True

Description : The polar form of Cartesian coordinates is a) Circular coordinates b) Spherical coordinates c) Cartesian coordinates d) Space coordinates

Last Answer : a) Circular coordinates

Description : A charge located at point p (5,300,2) is said to be in which coordinate system? a) Cartesian system b) Cylindrical system c) Spherical system d) Space system

Last Answer : b) Cylindrical system

Description : Find the Cartesian coordinates of B(4,250,1200) a) (0.845, 1.462, 3.625) b) (-0.845, 1.462, 3.625) c) (-8.45, 2.462, 6.325) d) (8.45, 2.462, 6.325)

Last Answer : b) (-0.845, 1.462, 3.625)

Description : Gauss law can be evaluated in which coordinate system? a) Cartesian b) Cylinder c) Spherical d) Depends on the Gaussian surface

Last Answer : d) Depends on the Gaussian surface

Description : The divergence theorem for a surface consisting of a sphere is computed in which coordinate system? a) Cartesian b) Cylindrical c) Spherical d) Depends on the function

Last Answer : d) Depends on the function

Description : The cylindrical coordinate system is also referred to as a) Cartesian system b) Circular system c) Spherical system d) Space system

Last Answer : b) Circular system

Description : A charge is placed in a square container. The position of the charge with respect to the origin can be found by a) Spherical system b) Circular system c) Cartesian system d) Space coordinate system

Last Answer : c) Cartesian system

Description : The Cartesian system is also called as a) Circular coordinate system b) Rectangular coordinate system c) Spherical coordinate system d) Space coordinate system

Last Answer : b) Rectangular coordinate system

Description : The distance vector is obtained in a) Cartesian coordinate system b) Spherical coordinate system c) Circular coordinate system d) Space coordinate system

Last Answer : d) Space coordinate system

Description : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral. a) 600 b) 588.9 c) 577.8 d) 599.7

Last Answer : b) 588.9

Description : Compute divergence theorem for D = 5r 2 /4 i in spherical coordinates between r = 1 and r = 2 in volume integral. a) 80 π b) 5 π c) 75 π d) 85 π

Last Answer : c) 75 π

Description : Compute divergence theorem for D= 5r 2 /4 i in spherical coordinates between r=1 and r=2. a) 80π b) 5π c) 75π d) 85π

Last Answer : c) 75π

Description : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2. a) 600 b) 599.8 c) 588.9 d) 577.8

Last Answer : c) 588.9

Description : Transform the vector (4,-2,-4) at (1,2,3) into spherical coordinates. a) 3.197i – 2.393j + 4.472k b) -3.197i + 2.393j – 4.472k c) 3.197i + 2.393j + 4.472k d) -3.197i – 2.393j – 4.472k

Last Answer : b) -3.197i + 2.393j – 4.472k

Description : The scalar factor of spherical coordinates is a) 1, r, r sin θ b) 1, r, r c) r, r, 1 d) r, 1, r

Last Answer : a) 1, r, r sin θ

Description : Find the spherical coordinates of A(2,3,-1) a) (3.74, 105.50, 56.130) b) (3.74, 105.50, 56.310) c) (3.74, 106.50, 56.130) d) (3.74, 106.50, 56.310)

Last Answer : b) (3.74, 105.50, 56.310)

Description : Convert the given rectangular coordinates A(2,3,1) into corresponding cylindrical coordinates a) (3.21,56.31,1) b) (3.21,57.31,0) c) (3.61,57.31,0) d) (3.61,56.31,1)

Last Answer : d) (3.61,56.31,1)

Description : Find the ratio of refractive index of medium 2 to that of medium 1, when the Brewster angle is 60 degree. a) 0.707 b) 1.5 c) 0.866 d) 1.732

Last Answer : d) 1.732

Description : The maximum strength of the elected members of the House of the People (Lok Sabha) is – (1) 530 (2) 545 (3) 540 (4) 550

Last Answer : (2) 545 Explanation: The Constitution limits the Lok Sabha to a maximum of 552 members, including no more than 20 members representing people from the Union Territories, and two appointed non- ... community is not adequately represented). At present, the strength of the house is 545 members.

Description : 729 656 595 ? 494 a) 540 b) 530 c) 500 d) 529 e) 541

Last Answer : Difference of Difference 9. Answer: a)

Description : Find the acceptance angle of a material which has a numerical aperture of 0.707 in air. a) 30 b) 60 c) 45 d) 90

Last Answer : c) 45

Description : A charge of 2 X 10 -7 C is acted upon by a force of 0.1N. Determine the distance to the other charge of 4.5 X 10 -7 C, both the charges are in vacuum. a) 0.03 b) 0.05 c) 0.07 d) 0.09

Last Answer : d) 0.09

Description : Find the Gauss value for a position vector in Cartesian system from the origin to one unit in three dimensions. a) 0 b) 3 c) -3 d) 1

Last Answer : b) 3

Description : A zoo has an average of 1020 visitors on Sundays and 480 on other days. The average number visitors per day in a month of 30 days beginning with a Sunday is. A) 5200 B) 570 C) 530 D) 450

Last Answer : B)  Since the month begins with a Sunday So there will be 5 Sundays I the month Therefore required average = [(1020*5)+(480*25)/30] =(5100+12000)/30 =17100/30 = 570

Description : The power of a wave with electric field intensity of 3 units in air is a) 0.01 b) 0.03 c) 0.05 d) 0.07

Last Answer : a) 0.01

Description : The scalar factor of Cartesian system is unity. State True/False. a) True b) False

Last Answer : a) True

Description : The volume of a parallelepiped in Cartesian is a) dV = dx dy dz b) dV = dx dy c) dV = dy dz d) dV = dx dz

Last Answer : a) dV = dx dy dz

Description : In a cartesian co-ordinate system, the coordinates of two points P and Q are (2, 4, 4) and (-2, -3, 7) respectively

Last Answer : In a cartesian co-ordinate system, the coordinates of two points P and Q are (2, 4, 4) ... find \(\overset\longrightarrow{PQ}\) and its magnitude.

Description : Find the ratio of the refractive index of medium 1 to that of medium 2, when the incident and reflected angles are given by 300 and 450 respectively. a) 0.5 b) 1 c) 2 d) 4

Last Answer : c) 2

Description : Transform the vector B=yi+(x+z)j located at point (-2,6,3) into cylindrical coordinates. a) (6.325,-71.57,3) b) (6.325,71.57,3) c) (6.325,73.57,3) d) (6.325,-73.57,3)

Last Answer : a) (6.325,-71.57,3)

Description : What is the area of a quadrilateral in cm with coordinates at 4 0 and 14 11 and 0 6 and -10 -5 on the Cartesian plane?

Last Answer : The given coordinates of (4, 0) (14, 11) (0, 6) and (-10, -5)when plotted and joined together on the Cartesian plane will forminto the shape of a kite with its diagonals meeting at ... using the area formula 0.5*product of its diagonals the areaof the quadrilateral kite works out as 104 square cm

Description : The spherical equivalent of the vector B = yi + (x + z)j located at (-2,6,3) is given by a) (7,64.62,71.57) b) (7,-64.62,-71.57) c) (7,-64.62,71.57) d) (7,64.62,-71.57)

Last Answer : d) (7,64.62,-71.57)

Description : Consider a triangle A(0, 0), B(1, 1), C(5, 2). The triangle has to be rotated by an angle of 450 about the point P(-1, -1). What shall be the coordinates of the new triangle? (A) A'=(1, √2-1), B'=(-1, 2√2-1), C'=(3√2-1, ... 3√2-1, (9/2)√2-1) (D) A'=(√2-1, -1), B'=(-1, 2√2-1), C'=(3√2-1, (9/2)√2-1)

Last Answer : (C) A'=(-1, √2-1), B'=(-1, 2√2-1), C'=(3√2-1, (9/2)√2-1)

Description : Compute the Gauss law for D = 10ρ 3 /4 i, in cylindrical coordinates with ρ = 4m, z = 0 and z = 5, hence find charge using volume integral. a) 6100 π b) 6200 π c) 6300 π d) 6400 π View Answe

Last Answer : d) 6400 π

Description : Compute the Gauss law for D= 10ρ 3 /4 i, in cylindrical coordinates with ρ= 4m, z=0 and z=5. a) 6100 π b) 6200 π c) 6300 π d) 6400 π

Last Answer : d) 6400 π

Description : The waste gases coming out from gas turbine exhausts are of the order of: a) 370-540 b) 450 – 700 c) 700- 800 d) 250-440

Last Answer : 370-540

Description : The maximum impedance of a 50 ohm transmission line with SWR of 3 is a) 50/3 b) 3/50 c) 150 d) 450

Last Answer : c) 150

Description : What is the electric field intensity at a distance of 20cm from a charge 2 X 10 -6 C in vacuum? a) 250,000 b) 350,000 c) 450,000 d) 550,000

Last Answer : c) 450,000

Description : Transform the spherical system B = (10/r)i + (10cos θ)j + k into cylindrical form at (5, π/2, -2) a) 2.467i + j + 1.167k b) 2.467i – j + 1.167k c) 2.467i – j – 1.167k d) 2.467i + j – 1.167k

Last Answer : a) 2.467i + j + 1.167k

Description : Transform the vector A = 3i – 2j – 4k at P(2,3,3) to cylindrical coordinates a) -3.6j – 4k b) -3.6j + 4k c) 3.6j – 4k d) 3.6j + 4k

Last Answer : a) -3.6j – 4k

Description : From the following which type of work envelope is made in Cartesian coordinate robot. a.Square work envelope b.Spherical work envelope c.Cylindrical work envelope d.Rectangular work envelope

Last Answer : d.Rectangular work envelope

Description : Any convenient co-ordinate system or Cartesian co-ordinates which can be usedto define the picture is called a.spherical co-ordinates b.vector co-ordinates c.viewport co-ordinates d.world co-ordinates

Last Answer : d.world co-ordinates

Description : From the following which type of work envelope is made in Cartesian coordinate robot. (A) Square work envelope (B) Spherical work envelope (C) Cylindrical work envelope (D) Rectangular work envelope

Last Answer : D

Description : Choose which of following condition is not required for a waveguide to exist. a) The dimensions should be in accordance with desired frequency b) Cut-off frequency should be minimum 6GHz c) The shape should be spherical d) No specific condition is required for waveguide design

Last Answer : c) The shape should be spherical

Description : Spherical systems are employed in waveguides. State True/False a) True b) False

Last Answer : b) False

Description : Example of spherical system in the following is a) Charge in space b) Charge in box c) Charge in dielectric d) Uncharged system

Last Answer : a) Charge in space

Description : Convert each of the following decimals into a percentage: (i) 0.6 (ii) 0.42 (iii) 0.07 (iv) 0.005 -Maths

Last Answer : answer: