In Young’s double slit experiment, to change the bandwidth from $\beta$ to $\frac{\beta}{4}$ without changing the experimental setup, the wavelength of light $\lambda$ used must be changed to
A man loses 50% of his velocity after running a distance of 100 m. If his retardation is uniform, the distance he will cover before coming to rest is
The instantaneous displacement of a particle executing simple harmonic motion is given by \(x = 2(\cos(\pi t) + \sin(\pi t))\). The amplitude of oscillation is
A particular color of light has a wavelength of 663 nm. What is the energy possessed by the light? (Planck’s constant $h = 6.63 \times 10^{-34}$ J·s; Velocity of light $c = 3 \times 10^8$ m/s)