4.

An unknown light source is directed at a diffraction grating with 6.00 x 10⁴ lines/m. If the distance between the n=1 nodes on the left and right of the central maximum is 11.0 cm when the screen is 1.50 m away, the frequency of the light can be expressed as a.b x 10^cd Hz. State your four digit response for the value of abcd.

6.

A helium atom X travelling at 610 m/s makes an elastic collision with a stationary helium atom Y. The magnitude of the velocity of X after the collision is 258 m/s. The directions of the velocities of X and Y are as shown below. The momentum of Y after collision can be expressed as a.b x 10^-cd kg. m/s. Express the value for abcd. Mass of a helium atom is 6.64 x 10^-27 kg.

7.

A group of students conduct an experiment to determine the wavelength of monochromatic laser beam using a diffraction grating. The students use a diffraction grating with 600 lines mm¹. They vary the distance x between the grating and the screen from 1.000 m to 2.000 m. They measure the distance y from the central maximum to the second order maximum. They decide to plot a graph of

y

against

2+2x2+y2

. The collected data is shown below in the graph. The wavelength of the laser beam can be expressed as a.b x 10^-c m. Express your value for abc (show your work and calculations by uploading an image and use line of best fit using the tool provided).

10.

A narrow beam of unpolarised light is incident at the boundary between air and glass as shown. The angle of incidence is 56.3

. If the thickness of the glass block is 6.0 cm, the time it takes for light to travel through the glass block can be expressed as a.b x 10^-cd s. Determine the value of abcd.

11.

A proton with kinetic energy 0.52 MeV is travelling directly towards a stationary nucleus of cobalt-59 (

27592759Co

) in a head-on collision. Determine the minimum distance between the proton and the cobalt nucleus if the kinetic energy is converted to potential energy. Express your answer as a.b x 10^-cd m and the value for abcd.