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 :

The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference pattern, the ratio I_max-I_min/I_max+I_min will be