Description : Given E = 40xyi + 20x 2 j + 2k. Calculate the potential between two points (1,-1,0) and (2,1,3). a) 105 b) 106 c) 107 d) 108
Last Answer : b) 106
Description : One newton is equal to a.106 dynes b.105 dynes c.104 dynes d.103 dynes e.107 dynes
Last Answer : b. 105 dynes
Description : One joule is equal to a.105 ergs b.108 ergs c.104 ergs d.107 ergs e.106 ergs
Last Answer : d. 107 ergs
Description : Molecular weight of heterogenous nuclear RNA (hnRNA) is (A) More than 107 (B) 105 to 106 (C) 104 to 105 (D) Less than 104
Last Answer : Answer : A
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 : A couple applied to a flywheel of mass 5 kg and of radius of gyration 20 cm produces an angular acceleration of 4 radians/sec2. The torque applied in dyne cm is a.8 x 104 b.8 x 106 c.8 x 107 d.8 x 108 e.8 x 1010
Last Answer : b. 8 x 106
Description : Find the magnetic field intensity when the magnetic vector potential x i + 2y j + 3z k. a) 6 b) -6 c) 0 d) 1
Last Answer : b) -6
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 unit vector to the points p1(0,1,0), p2(1,0,1), p3(0,0,1) is a) (-j – k)/1.414 b) (-i – k)/1.414 c) (-i – j)/1.414 d) (-i – j – k)/1.414
Last Answer : a) (-j – k)/1.414
Description : Find a vector normal to a plane consisting of points p1(0,1,0), p2(1,0,1) and p3(0,0,1) a) –j – k b) –i – j c) –i – k d) –i – j – k
Last Answer : a) –j – k
Description : Using the RSA public key crypto system, if p=13, q=31 and d=7, then the value of e is (A) 101 (B) 105 (C) 103 (D) 107
Last Answer : (C) 103 Explanation: Basic RSA Algorithm: 1. Choose two primes, p & q. 2. Compute n=p*q and z=(p-1)*(q-1). 3. Choose a number relatively prime to z and call it d. 4. Find e such that e*d= ... each of these in turn by 7 to see which is divisible by 7, we find that 721/7 = 103, hence e = 103.
Description : An electric field is given as E = 6y 2 z i + 12xyz j + 6xy 2 k. An incremental path is given by dl = -3 i + 5 j – 2 k mm. The work done in moving a 2mC charge along the path if the location of the path is at p(0,2,5) is (in Joule) a) 0.64 b) 0.72 c) 0.78 d) 0.80
Last Answer : b) 0.72
Description : Find the gradient of t = x 2 y+ e z at the point p(1,5,-2) a) i + 10j + 0.135k b) 10i + j + 0.135k c) i + 0.135j + 10k d) 10i + 0.135j + k
Last Answer : b) 10i + j + 0.135k
Description : Find the potential between a(-7,2,1) and b(4,1,2). Given E = (-6y/x 2 )i + ( 6/x) j + 5 k. a) -8.014 b) -8.114 c) -8.214 d) -8.314 View Answ
Last Answer : c) -8.214
Description : The current element of the magnetic vector potential for a surface current will be a) J dS b) I dL c) K dS d) J dV
Last Answer : c) K dS
Description : Find the flux density B when the potential is given by x i + y j + z k in air. a) 12π x 10 -7 b) -12π x 10 -7 c) 6π x 10 -7 d) -6π x 10 -7
Last Answer : b) -12π x 10 -7
Description : Find the magnetic flux density of the material with magnetic vector potential A = y i + z j + x k. a) i + j + k b) –i – j – k c) –i-j d) –i-k
Last Answer : b) –i – j – k
Description : Find the electric field of a potential function given by 20 log x + y at the point (1,1,0). a) -20 i – j b) -i -20 j c) i + j d) (i + j)/20
Last Answer : a) -20 i – j
Description : The total current density is given as 0.5i + j – 1.5k units. Find the curl of the magnetic field intensity. a) 0.5i – 0.5j + 0.5k b) 0.5i + j -1.5k c) i – j + k d) i + j – k
Last Answer : b) 0.5i + j -1.5k
Description : Find the charge density when the electric flux density is given by 2x i + 3y j + 4z k. a) 10 b) 9 c) 24 d) 0
Last Answer : b) 9
Description : If D = 2xy i + 3yz j + 4xz k, how much flux passes through x = 3 plane for which - 1
Last Answer : c) 36
Description : Find the value of divergence theorem for A = xy 2 i + y 3 j + y 2 z k for a cuboid given by 0
Last Answer : c) 5/3
Description : Find the curl of the vector and state its nature at (1,1,-0.2) F = 30 i + 2xy j + 5xz 2 k a) √4.01 b) √4.02 c) √4.03 d) √4.04
Last Answer : d) √4.04
Description : Determine the divergence of F = 30 i + 2xy j + 5xz 2 k at (1,1,-0.2) and state the nature of the field. a) 1, solenoidal b) 0, solenoidal c) 1, divergent d) 0, divergent
Last Answer : b) 0, solenoidal
Description : Identify the correct vector identity. a) i . i = j . j = k . k = 0 b) i X j = j X k = k X i = 1 c) Div (u X v) = v . Curl(u) – u . Curl(v) d) i . j = j . k = k . i = 1
Last Answer : c) Div (u X v) = v . Curl(u) – u . Curl(v)
Description : Find the curl of A = (y cos ax)i + (y + e x )k a) 2i – ex j – cos ax k b) i – ex j – cos ax k c) 2i – ex j + cos ax k d) i – ex j + cos ax k
Last Answer : b) i – ex j – cos ax k
Description : Is the vector is irrotational. E = yz i + xz j + xy k a) Yes b) No
Last Answer : a) Yes
Description : Find whether the vector is solenoidal, E = yz i + xz j + xy k a) Yes, solenoidal b) No, non-solenoidal c) Solenoidal with negative divergence d) Variable divergence
Last Answer : a) Yes, solenoidal
Description : Find the divergence of the vector F= xe -x i + y j – xz k a) (1 – x)(1 + e -x ) b) (x – 1)(1 + e -x ) c) (1 – x)(1 – e) d) (x – 1)(1 – e)
Last Answer : a) (1 – x)(1 + e -x )
Description : The magnetic vector potential for a line current will be inversely proportional to a) dL b) I c) J d) R
Last Answer : d) R
Description : The Laplacian of the magnetic vector potential will be a) –μ J b) – μ I c) –μ B d) –μ H
Last Answer : a) –μ J
Description : Given the vector potential is 16 – 12sin y j. Find the field intensity at the origin. a) 28 b) 16 c) 12 d) 4
Last Answer : c) 12
Description : If potential V = 20/(x 2 + y 2 ). The electric field intensity for V is 40(x i + y j)/(x 2 + y 2 ) 2 . State True/False. a) True b) False
Last Answer : a) True
Description : For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π 2 m. a) 1 b) 2 c) 3 d) 4
Last Answer : b) 2
Description : Find the value of Stoke’s theorem for A = x i + y j + z k. The state of the function will be a) Solenoidal b) Divergent c) Rotational d) Curl free
Last Answer : d) Curl free
Description : Find the value of Stoke’s theorem for y i + z j + x k. a) i + j b) j + k c) i + j + k d) –i – j – k
Last Answer : d) –i – j – k
Description : Find the curl of the vector A = yz i + 4xy j + y k a) xi + j + (4y – z)k b) xi + yj + (z – 4y)k c) i + j + (4y – z)k d) i + yj + (4y – z)k
Last Answer : d) i + yj + (4y – z)k
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 : Which of the following implies the greatest precision? w) 1.02 x 105 x) 102 x 103 y) 0.102 x 106 z) 1.020 x 105
Last Answer : ANSWER: Z -- 1.020 x 105
Description : The heat released by cooling one mole of copper from 400 K to room temperature (300 K) is (assume : Cp of copper is 23 J K-1mole-1) (A) 2300 J (B) 4600 J (C) 230 J (D) 2.3 × 106 J
Last Answer : A) 2300 J
Description : Staff readings on pegs x and y from X station are 1.755 m and 2.850 m, and from station Y on staff head at Y and X are 0.655 m and 1.560 m. If reduced level of X is 105.5 m, the reduced level of Y is (A) 104.0 m (B) 104.5 m (C) 105.0 m (D) 105.5 m
Last Answer : (B) 104.5 m
Description : A force F = 2i + 3j - k is passing through the origin. Its moment about point (1, 1, 0) is a.107 dynes b.i + j + k c.2i + 3j d.zero e.i - j - k
Last Answer : b. i + j + k
Description : Six equal point charges Q = 10nC are located at 2,3,4,5,6,7m. Find the potential at origin. a) 140.35 b) 141.35 c) 142.35 d) 143.35
Last Answer : d) 143.35
Description : Find the potential due the dipole when the angle subtended by the two charges at the point P is perpendicular. a) 0 b) Unity c) ∞ d) -∞
Last Answer : a) 0
Description : If the potential is given by, V = 10sin θ cosφ/r, find the density at the point P(2, π/2, 0) (in 10 -12 units) a) 13.25 b) 22.13 c) 26.31 d) 31.52
Last Answer : b) 22.13
Description : In final exam of class IX there are 130 students 20 % students failed. How many students passed to class X? a) 105 b) 112 c) 104 d) 117 e) 104.5
Last Answer : Answer: C) Percentage of students passed to class X = (100 % - 20 %) of 130 = 80 % of 130 =>80 % of 130 => 80/100 × 130 =>10400/100 => 104 Therefore, 104 students passed to class X
Description : In the above problem, find the potential energy of the mass with respect to datum. (Formula: P = mgz/k ) a. 4875 j b. 0.51 j c. 0.46 j d. None of the above
Last Answer : 4875 j
Description : The potential taken between two points across a resistor will be a) Positive b) Negative c) Zero d) Infinity
Last Answer : b) Negative
Description : Find the electric field when the velocity of the field is 12m/s and the flux density is 8.75 units. a) 510 b) 105 c) 150 d) 165
Last Answer : b) 105
Description : Find the magnetic field intensity of a toroid of turns 40 and radius 20cm. The current carried by the toroid be 3.25A. a) 103.45 b) 102 c) 105.7 d) 171
Last Answer : a) 103.45