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Q1. Find the solution of the following differential equation
d2y/dx2 + ay = 0
Q2. Find the potential energy of the following system:
Assuming no friction or other forces act on the particle (except F).
Q3. A nano-particle is oscillating with the potential energy v(x) = 1/2mω2x2.
Where, m is the mass of the atom, w is the frequency of oscillation and x is the displacement. Find the total energy of such system.
Q4. Can you establish a rule for the following sequence;
656.3x10-9, 486.1x10-9, 434.1 x10-9, 410.2x10-9, 397.0x10-9, 388.9x10-9, 383.5x10-9, 364.6x10-9
A monoenergetic beam of electrons is incident on a single slit of width 0.95 nm. A diffraction pattern is formed on a screen 24 cm from the slit. what is the energy of the incident electrons
An electron is in a certain energy state in a one-dimensional, infinite potential well from x = 0 to x = L = 175 pm. What is the change in the electron's energy
A boulder has 300J of potential energy sitting on the edge of cliff. What is the boulder's kinetic energy as it hits the ground.
a speeder tries to explain to the police that the yellow warning lights on the side of the road looked green to her
A Galaxy is moving away from us with a speed of 3 x 10^7 m s^-1. What is the frequency of the light we would observe if it is emitted at 6 x 10^14 Hz
An electron and a proton move in circular orbits in a plane perpendicular to a uniform magnetic field B. Obtain the ratio of the radii of their circular orbits when the electron and the proton have the same kinetic energy
A listener increases his distance from a sound source by a factor of 3.62. what is the change in the sound intensity level in dB
What is the distance of closest approach of the two particles? (Assume that the gold nucleus remains stationary
The capacitance of a cylindrical capacitor can be increased by:
A point charge of -4.00nC is at the origin, and a second point charge of 6.00nC is on the x axis at x=0.800m. Discover the magnitude and direction of the electric field at each of the following points on the x axis: a) x=20.0cm, b) x=1.20m, c) x= -20..
A student sees a newspaper ad for an apartment that has 1430 square feet (ft2) of floor space. How many square meters of area are there
Two capacitors, of 3.2 and 4.8?F capacitance, are connected in parallel across a 300 V potential difference. Calculate the total energy stored in the capacitors
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