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Assuming the Bohr model of the atom, an electron in Li2+ emits a photon of wavelength 13.5 nm for the transition n = 2 to n = 1. i) Treat the atom like an electron in a one-dimensional box. Find the width of a box that would allow the emission of a photon of wavelength 13.5 nm. ii) Determine the ground state energy of a box with the width you calculated in part i). iii) Comparing spacing between adjacent energy levels, state whether a one-dimension box is a suitable model for the Bohr atomic model.
A photon of light bounces back into its initial direction of motion after colliding with an electron. The angle between the initial and final direction of the photon is 180°. The wavelength of the photon increases by 5% following the scattering. Determine the wavelength of the incident photon.
In an experiment, 7.2g of potassium chloride is added for every liter of water.Using the conversion factor 1 mL = 1 cm³ write the salt concentration in terms of kg/m³
If a ceramic coffee mug, with a height of 10.0 cm and a diameter of 8.00 cm, had the same density as a neutron or a proton, what would be its approximate mass?
A car is moving with speed v, given by the equation: v=C+Dt2 , where t represents time and C and D are constants. Determine the SI units of C and D.
Find the number of significant figures in 3.254 × 104
A cylinder with a 6.3 cm diameter is 14.4 cm in length. In standard international (SI) units, how much volume does the cylinder occupy?
Compare the vehicle's average speed between points 3 and 4 to its average speed between points 1 and 2.(image). The diagram depicts the motion of the vehicle.
On an ordinary day, you walk from the park to the recreational center at an average speed of 5.4 kph (kilometers per hour), and the round trip takes you 1 h and 30 min. One day, instead of walking, you decide to jog, hence increasing your speed to 10 kph. How much longer does the slower trip take?
During a festival, a hot air balloon which is initially at rest was released and moved upward from the ground. During the first 70.0 s of its motion, its vertical acceleration is defined by ay = (0.008 m/s3)t. Follow the convention that upward motion is positive. Determine the height of the hot air balloon at t = 70.0 s.
An RC car is in motion, and the photographer uses the burst mode photo feature to capture the moving subject. He took one frame per second. The given figure shows the motion diagram of the RC car. Draw its position-versus-time graph.
A lubricating oil is driven through a pipe using an electric pump. The speed of an oil particle is plotted in the first 10 s of operation. Determine the acceleration of an oil particle through every stage shown on the graph.
A boat comes to a stop due to a malfunctioning engine. The velocity vs time graph of the boat would look like the graph below. Determine the approximate distance the boat moves in meters (m) before it stops.
The velocity-time graph for a body starting from rest is shown below. Determine if there is any turning point for this moving body.
A car is initially moving at a velocity of 5.0 m/s. Its acceleration versus time graph is given below. Determine its velocity at t = 8.0 s.
A frictionless trolley follows a straight line path as shown in the figure below. Represent its motion using position-versus-time, velocity-versus-time, and acceleration-versus-time graphs. Assume s = 0 at the point where the trolley is shown.
A vessel, measuring 120 m in length, starts its uniform acceleration from a complete stop. When the front of the vessel reaches a buoy located 300 m away from its initial position, it is traveling at a speed of 12 m/s. What will be the speed of the rear end of the vessel as it passes the buoy?
An athlete tossed a ball vertically upward with a speed of v1. A velocity sensor placed exactly 3.0 m above the point of release of the ball measures a speed of 8.0 m/s when the ball is at the same horizontal level as the sensor and moving upward. Calculate v1.
Two friends riding their respective bikes meet at a traffic signal and race to the next signal 600 m away. One friend is riding a red bike while the other is on a black bike. The red bike starts ahead of the black bike by 2.0 s. The acceleration of the red bike is 4.5 m/s² which is smaller than the black bike's acceleration of 5.5 m/s². Determine who will reach the traffic light first.
Sketch vector VA with a magnitude of 15 units and oriented at an angle of 66° measured left of the negative 𝑦 axis.
A cyclist is accelerating up a 25.0° incline with an acceleration of 2.50 m/s². Determine the horizontal component of their acceleration.
Calculate the magnitude and direction M = -3.0i + 3.0j. Draw the vector and show the direction clearly.
James loves using online map services to drive. On a drive to a bookshop, he drives north for 4.5 km, then 2.8 km west, and then 1.3 km south. Using the method of components find the magnitude and direction of the resultant displacement.
You are given two vectors A = 3i + 4j and B = 6i + 8j; Determine the direction of the vector difference B-A.
Vector M lies in the xy plane making an angle of θ above the positive x-axis. Vector N is lying in the same plane making an angle Φ below the positive x-axis. Determine their dot product.
Hint: Use one of the following identities-
cos(A + B) = cosAcosB - sinAsinB
cos(A - B) = cosAcosB + sinAsinB