Questions and answers by

gourav bhardwaj

Questions (27)

For a scaler field ϕ(x, y, z) = x^n+y^n+z^n, show that (🔻ϕ ).r = nϕ , where n is a non-zero real constant.
1. 0 answers
2. 396 views
A metal sheet has ,on the average , 5 defects per 1.0 m^2. Assuming a poisson distribution , calculate the probability that a
1. 0 answers
2. 583 views
An unbiased coin is tossed three times. If A is the event that a head appears on each of the first two tosses,B is the event
1. 0 answers
2. 530 views
Using Green's Theorem evaluate the integral ∮c(xydx + x^2y^2 dy) where C is the triangle with vertices (0 ,0), (1, 0) and (1,
1. 2 answers
2. 1,931 views
Using Stokes' theorem evaluate ∫c F.dl where F = yi^+ xz^3 j^-z y^3 k^ and C is the circle x^2+ y^2 = 4; z = -3.
1. 0 answers
2. 722 views
Out of 90 applicants for a job, 60 people get selected after the interview. If five applicants are selected at random,calculate
1. 0 answers
2. 530 views
For a scaler field ϕ(x, y, z) = x^n+y^n+z^n, show that (🔻ϕ ).r = nϕ , where n is a non-zero real constant.
1. 0 answers
2. 384 views
A metal sheet has ,on the average , 5 defects per 1.0 m^2. Assuming a poisson distribution , calculate the probability that a
1. 0 answers
2. 722 views
An unbiased coin is tossed three times. If A is the event that a head appears on each of the first two tosses , B is the event
1. 0 answers
2. 664 views
An unbiased coin is tossed three times. If A is the event that a head appears on each of the first two tosses , B is the event
1. 0 answers
2. 629 views
A metal sheet has ,on the average , 5 defects per 1.0 m^2. Assuming a poisson distribution , calculate the probability that a
1. 0 answers
2. 519 views
Out of 90 applicants for a job, 60 people get selected after the interview. If five applicants are selected at random,calculate
1. 0 answers
2. 538 views
For a scaler field ϕ(x, y, z) = x^n+y^n+z^n, show that (🔻ϕ ).r = nϕ , where n is a non-zero real constant.
1. 0 answers
2. 361 views
show that for any vector field F🔻. (🔻× F) = 0.
1. 1 answer
2. 409 views
For three vectors u, v and w show that:(u×v).[(v×w)×(w×u)]= [u.(v×w)]^2 .
1. 1 answer
2. 930 views
Obtain the derivative and the unit tangent vector for a vector functiona(t) = t i^+e^t^2 j^+ sin2t k^
1. 1 answer
2. 473 views
Which of the following are binary operation.justify your answer.(i) the operation . defined on Q by a.b =a(b-a) (ii) the
1. 1 answer
2. 659 views
Find the orthogonal canonical reduction of the quadratic from -x^2+y^2+z^2-6xy+2yz. Also, find its principal axes,rank and
1. 1 answer
2. 495 views
Find the nature of the conic 2x^2+xy-y^2-6 = 0
1. 1 answer
2. 382 views
Let (x1,x2,x3) and (y1,y2,y3) represent the coordinates with respect to the bases B1 = { (1,0,0),(0,1,0),(0,0,1)} , B2 = {
1. 0 answers
2. 341 views
Find the orthogonal canonical reduction of the quadratic from -x^2+y^2+z^2-6xy+2yz. Also, find its principal axes,rank and
1. 0 answers
2. 468 views
Find the radius and the centre of the circular section of the sphere | r| = 4 cut off by the plane r.(2i-j+4k) = 3.
1. 2 answers
2. 738 views
which of the following are binary operation.justify your answer.(i) the operation . defined on Q by a.b =a(b-a) (ii) the
1. 0 answers
2. 664 views
A triangular wave of +-12v amplitude and 10Mhz frequency is generated at the output of an op-amp.Calculate the minimum slew rate
1. 0 answers
2. 426 views
A horizontal ,straight wire carying 12.0A current from west to east is in the earth's magnetic field B.At this place,B is
1. 1 answer
2. 639 views
The energy of a capacitor is 4.0uJ after it has been charged by a 1.5v battery.calculate its energy when it is charged by a 6.0v
1. 1 answer
2. 421 views
Two particles carrying 4c and -2c charges are placed on 1m long straight wire.determine the point on the line joining these
1. 1 answer
2. 694 views

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