On observing light from three different stars P, Q
and R, it was found that intensity of violet color is
maximum in the spectrum of P, the intensity of green
colour is maximum in the spectrum of R and the
intensity or red colour is maximum in the spectrum
of Q. If T_P, T_Q and T_R are the respective absolute
temperatures of P, Q and R, then it can be
concluded from the above observation that :

Across a metallic conductor of non-uniform cross
section a constant potential difference is applied.
The quantity which remains constant along the
conductor is :

For a parallel beam of monochromatic light of
wavelength 'λ', diffraction is produced by a single
slit whose width 'a' is of the order of the wavelength
of the light. If 'D' is the distance of the screen from
the slit, the width of the central maxima will be :

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 :