What is the effect on the interference fringes in a Young’s double-slit experiment if the screen is moved away from the plane of the slits?
Answer
In case if we move the screen away from the plane of slits the actual separation of fringes increases in proportion to the distance between screen and plane of two slits. But the angular separation of the fringes remains constant.
A spherical ball of salt is dissolving in water in such a manner that the rate of decrease of the volume at any instant is proportional to the surface area. Prove that the radius is decreasing at a constant rate.
Bombardment of aluminium by α-particle leads to its artificial disintegration in two ways, (i) and (ii) as shown. Products \(X, Y\) and \(Z\) respectively, are :A( )
If \(\sqrt {1-x^{6}}+\sqrt {1-y^{6}}=a(x^{3}-y^{3})\) , prove that \(\frac {dy}{dx}=\frac {x^{2}}{y^{2}}\sqrt {\frac {1-y^{6}}{1-x^{6}}}\) , Where \(-1\lt x<1\) and \(-1\lt y<1.\)
What is the effect on the interference fringes in a Young’s double-slit experiment if the (monochromatic) source is replaced by another (monochromatic) source of shorter wavelength?
A conical vessel whose height is \(10 \) meters and the radius of whose base is half that of the height is being filled with a liquid at a uniform rate of \(1.5m^{3}/min\) . find the rate at which the level of the water in the vessel is rising when it is \(3\ m\) below the top of the vessel.
The number of ways in which six boys and six girls can be seated in a round table so that no two girls sit together and two particular girls sit next to a particular boy is ( )
Let \(x\) and \(y\) be the sides of two squares such that \( y=x-x^{2}\) . Find the rate of change of area of the second square w.r.t. the area of the first square.