In a double slit experiment, the two slits are 1 mm
apart and the screen is placed 1 m away. A
monochromatic light of wavelength 500 nm is used.
What will be the width of each slit for obtaining ten
maxima of double slit within the central maxima of
single slit pattern ?

A Particle of unit mass undergoes one-dimensional
motion such that its velocity varies according to
v(x) = βx^–2n
where b and n are constants and x is the position
of the particle. The acceleraion of the particle as
a function of x, is given by :

When two dispalcements represented by
y₁ = asin(ωt) and y2 = b cos(ωt) are superimposed
the motion is :

One mole of an ideal diatomic gas undergoes a
transition from A to B along a path AB as shown
in the figure,

The change in internal energy of the gas during the transition is :

An electron moving in a circular orbit of radius r
makes n rotations per second. The magnetic field
produced at the centre has magnitude :