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Calculate the ground state energy of of pi-electrons in octatetraene, C8H10, using the particle in a box model. To calculate the box length, assume that the molecule is linear and use the values 1.35 and 1.54 angstroms for C=C and C-C bonds. What is the minimum energy and corresponding wavelength of light required to induce an electronic transition in this molecule?
A 3.4-m-tall, 40-cm-diameter concrete column supports a 2.0×105kg load, By how much is the column compressed
A battery provides a voltage of 10.0V and has unknown internal resistance Rint. If the external resistance is then changed to R2 = 7.00? , what is the value of the current I2 in the circuit
A 5.0 kilogram block is experiencing an applied 3.0 newton force in the positive x direction and is held stationary by an opposing frictional force, Determine the magnitude of the normal force
A box of unknown mass begins at the base of a 30 degree ramp with an initial velocity of 10.0 m/s. calculate the maximum distance up the ramp which the box will reach
25% of a radioactive material stays active after 4 hours. What is the half-life of this radioactive material
The wavelength of red helium-neon laser light is 632.8 nm. What is the wavelength of the laser light in the class that has an index of refraction of 1.5 in units of nm, What is the speed of the laser light in the glass in units of 10^8 m/s
Three equal positive point charges of magnitude Q = 3.00? C are located at three corners of a square of edge length d = 8.9 cm. What is the magnitude of the attractive force on the negative charge
The position of a particle moving with constant acceleration is given by x(t) = 6t2 + 6t + 4, Calculate the average velocity of this particle between t = 6 seconds and t = 10 seconds
An electron of kinetic energy 1.56 keV circles in a plane perpendicular to a uniform magnetic field. The orbit radius is 21.8 cm. determine the circling frequency
A force vector has a magnitude of 594 newtons and points at an angle 37o of below the positive x axis. What are (1) the x scalar component and (2) the y scalar component of the vector.
Three point charges are located near a spherical Gaussian surface of radius R = 6 cm. What is the electric flux through this surface
When an 82.0-kg adult uses a spiral staircase to climb to the second floor of his house, his gravitational potential energy increases by 2 x 10^3 J. By how much does the potential energy of a 17 kg child increase when the child climbs a normal sta..
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