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gourav

Questions (66)

Calculate the commutator [ p, e^ik.x ] where the function e^ik.x may be expanded as:e^ik.x = ∑infinite,n=0 (ik.x^n/n!)
1. 0 answers
2. 344 views
Missiles are fired towards the earth from a spacecraft. The missiles are moving with a speed of 0.8c with respect to the
1. 0 answers
2. 554 views
Supersonic jets are able to achieve maximum speeds of up to 3.0 × 10-6c. Calculate the percentage contraction in the length of
1. 0 answers
2. 563 views
The earth and the sun are 8.3 light-minutes apart in the same inertial frame. Two events occur at t = 0 on the earth and t = 3
1. 0 answers
2. 752 views
A radioisotope P has a half-life of 3 s. At t = 0, a given sample of this isotope contains 8000 atoms. Calculate (i) its decay
1. 2 answers
2. 696 views
Calculate the deBroglie wavelength of a^ 87Rb atom that has been laser cooled to 120 µK. (Assume that the kinetic energy is
1. 0 answers
2. 465 views
A star emits light with wavelength 120 nm. An observer on earth measures the wavelength of the light received from the star to
1. 0 answers
2. 532 views
Missiles are fired towards the earth from a spacecraft. The missiles are moving with a speed of 0.8c with respect to the
1. 1 answer
2. 553 views
The rest energy of a proton is 938 MeV. If its kinetic energy is also 938MeV, calculate its momentum and speed.
1. 1 answer
2. 1,080 views
Supersonic jets are able to achieve maximum speeds of up to 3.0 × 10-6c. Calculate the percentage contraction in the length of
1. 1 answer
2. 565 views
The earth and the sun are 8.3 light-minutes apart in the same inertial frame. Two events occur at t = 0 on the earth and t = 3
1. 0 answers
2. 580 views
Obtain the temperature distribution u(x,t) in a literally insulated rod of length L if both ends on the road are kept at 0°c
1. 0 answers
2. 474 views
Separate the following partial differential equation into a set of three ODEs by the method of separation of variables:d^2u/dt^2
1. 0 answers
2. 503 views
Show that :(I) u = e^xsiny is a solution of Laplace's equation.(ii) u = x^2+t^2 is a solution of the wave equation.
1. 0 answers
2. 441 views
A series circuit consists of a resister with R = 200 ohm, an inductor with L = 1H, a capacitor with C = 0.002F, and a 12V
1. 0 answers
2. 608 views
Solve the initial value problem.d^2x/dt^2+2dx/dt-3x =0, x(2π) = 1, x(2π) = 13
1. 0 answers
2. 489 views
Show that : vector del(r^2) = 2vector r
1. 0 answers
2. 392 views
For any two vectors u and v show that :( Vector u.vector v )^2 = [(vector u× vector v)×vector v ].vector u = u^2v^2
1. 0 answers
2. 402 views
Obtain the temperature distribution u(x,t) in a laterally insulated rod of length L if both ends on the road are kept at 0°c
1. 0 answers
2. 456 views
Show that : (I) u = e^xsiny is a solution of Laplace's equation.(ii) u= x^2+t^2 is a solution of the wave equation.
1. 0 answers
2. 511 views
Solve the initial initial value problemd^2x/dt^2+2DX/dt-3x =0, x(2π) = 0, x(2π) = 13
1. 0 answers
2. 534 views
Using Green's theorum evaluate the integral [ from c x^2ydx-xy^2dy]. Where c is the closed curve along the circle x^2+y^2 = 4
1. 0 answers
2. 550 views
Show that vector del(r^2) = 2vector r
1. 0 answers
2. 410 views
Using the Divergence theorum evaluate the flux integration from s vector A.ds where A = xi^+yj^+zk^ and s is the complete
1. 0 answers
2. 427 views
For any two vectors u and v show that(u.v)^2-[(u.v)×v].u = u^2v^2
1. 1 answer
2. 392 views
A certain mass of a gas at 273k temperature and one atmospheric pressure is expanded to 3 times its original volume under
1. 3 answers
2. 551 views
For copper, take N/V =8.5×10^28m^-3, h=6.62×10^-34Js, and me =9.1×10^-31kg to calculate Fermi energy.
1. 0 answers
2. 464 views
A certain mass of a gas at 273 k temperature and one atmospheric pressure is expanded to 3 times its original volume under
1. 1 answer
2. 477 views
A series circuit consist of a resister with R =200 ohm, an inductor with L=1H, a capacitor with C = 0.002F, and a 12V battery.If
1. 1 answer
2. 848 views
Obtain the temperature distribution u( x,t ) in a literally insulated rod of length L if both ends on the rod are kept at 0°c
1. 0 answers
2. 518 views
Obtain the Fourier for the following periodic function which has a period of 2π :f(x) = [ -1/2 (π-x) for -π<x<0,: 1/2 (π+x)
1. 0 answers
2. 577 views
Separate the following partial differential equation into a set of three ODEs by the method of separation of variables.d^2/dt^2
1. 0 answers
2. 464 views
Show that :(i) u=e^xsiny is a solution of Laplace's equation.(ii) u= x^2+t^2 is a solution of the wave equation.
1. 0 answers
2. 493 views
Solve the following ODE using the power series method(1-x^2)y"-2xy'+2y=0
1. 0 answers
2. 523 views
Calculate the work done by a force Vector F = y^2z^3i^+2xyz^3j^+3xy^2z^2k^ in moving an object along the path defined by the
1. 1 answer
2. 508 views
Assume that on a week day one telephone number out of every ten being called is busy.If 6 randomly selected numbers are called
1. 3 answers
2. 625 views
Determine the scale factors for an orthogonal coordinate system (s, t, v) whose coordinates are related to the Cartesian by the
1. 0 answers
2. 452 views
Obtain the curl of the following vector field in spherical polar coordinates:vector A = x(xi^+yj^+zk^)
1. 2 answers
2. 693 views
Consider sun as a black body whose interior consist of photons gas at T = 3×10^6k. Calculate the energy density of the solar
1. 0 answers
2. 388 views
For thermocouple,the value of C1 and C2 are 40.0×10^-6 v°/c and -0.01×10^-6 v°/c^2 respectively.If the thermo emf between
1. 0 answers
2. 521 views
Obtain all the first and second order partial derivatives of the function:f( x, y ) = In(I+xy^2)
1. 1 answer
2. 503 views
Show that: (I) u = e^xsiny is a solution of Laplace's equation.(ii) u = x^2+t^2 is a solution of the wave equation.
1. 0 answers
2. 656 views
Solve the following ODE using the power series method(1-x^2)y"-2xy'+2y = 0
1. 1 answer
2. 488 views
A series circuit consist of a resister with R = 200ohm, an inductor with L = 1H, a capacitor with C = 0.002F, and a 12V
1. 0 answers
2. 512 views
Determine the scale factors for an orthogonal coordinate system (s,t,v) whose coordinates are related to the Cartesian by the
1. 0 answers
2. 463 views
Show that for any scaler field phi( x,y,z )Vector del×(vector del phi ) = vector 0
1. 0 answers
2. 461 views
Show that vector del(r^2) = 2vector r
1. 0 answers
2. 378 views
Determine whether the following vector field is incompressible or irrotational at the point (0,1,2).Vector F =
1. 1 answer
2. 506 views
Solve the initial value problemd^2x/dt^2+2dx/dt-3x = 0, x(2π) =1, x(2π) = 13
1. 0 answers
2. 546 views
Using Green's theorum evaluate the integral [ integration from c x^2ydx-xy^2dy] where c is the closed curve along the circle.
1. 0 answers
2. 447 views
Using Divergence theorum evaluate the flux integrate from s vector A.vector D's where A =xi^+yj^+zk^ and s is the complete
1. 0 answers
2. 447 views
Calculate the work done by a force vector F = y^2z^3i^+2xyz^3j^+3xy^2z^2k^ in moving an object along the path defined by the
1. 0 answers
2. 503 views
Determine the scale factors for an orthogonal coordinate system ( s, t, v ) whose coordinates are related to the cartesion by
1. 0 answers
2. 481 views
Assume that on a weekday one telephone number out of every ten being called is busy. If 6 randomly selected numbers are called
1. 0 answers
2. 599 views
Obtain the curl of the following vector field in spherical polar coordinates :vector A = x( xi^+yj^+zk^)
1. 0 answers
2. 414 views
Determine whether the following vector field is incompressible or irrotational at the point (0, 1, 2)vector F =[x/x^2+y^2+z^2]i^
1. 0 answers
2. 411 views
Determine the directional derivative of phi =xy^z in the direction i^-2j^+2k^ at the point (3, 1, -1)
1. 0 answers
2. 419 views
Given two vector function vector a(t)=(2t+3)i^+(t^2-2)j^+tk^ and vector b(t)=(4-t)i^+(3t^3+1)j^+(2t-1)k^, determine the
1. 1 answer
2. 480 views
Show that the angular momentum vector(L)=vector(r)×vector(p) vector is an axial vector
1. 0 answers
2. 547 views
For any two vectors u^ and v^ show that:(u^.v)^2-[(u^×v^)].u^= u^2v^2
1. 0 answers
2. 397 views
If a power failures occur according to a poisson distribution with an average of 3 failures every twenty weeks,calculate the
1. 1 answer
2. 497 views
Show that the angular momentum L=r¡Áp vector is an axial vector
1. 0 answers
2. 405 views
Calculate the mean value for the number of heads appearing in a simultaneous throw of 3 coins.
1. 1 answer
2. 374 views
Solve the following ordinary differential equations.I) (2y+x^2+1)dy/dx+2xy-9x^2=0 ii) d^2/dx^2+3day/DX+2y=x^2
1. 2 answers
2. 3,027 views
A block of mass 3kg starts from rest and slides down a surface, which corresponds to a quarter of a circle of 1.6m radius.a) if
1. 1 answer
2. 1,625 views
A bock of mass 3kg starts from rest and slides down a surface , which corresponds to a quarter of a circle of 1.6m radius.a) if
1. 1 answer
2. 629 views

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