1.a length of 25 cm of a solution, containing 50 g of solute per liter causes a rotation of the plane of polarization of light by 5 degrees. find the rotation if the length is increased to 75 cm containing 100 g of solute per liter.
Ray Optics
Optics is the study of light in the field of physics. It refers to the study and properties of light. Optical phenomena can be classified into three categories: ray optics, wave optics, and quantum optics. Geometrical optics, also known as ray optics, is an optics model that explains light propagation using rays. In an optical device, a ray is a direction along which light energy is transmitted from one point to another. Geometric optics assumes that waves (rays) move in straight lines before they reach a surface. When a ray collides with a surface, it can bounce back (reflect) or bend (refract), but it continues in a straight line. The laws of reflection and refraction are the fundamental laws of geometrical optics. Light is an electromagnetic wave with a wavelength that falls within the visible spectrum.
Converging Lens
Converging lens, also known as a convex lens, is thinner at the upper and lower edges and thicker at the center. The edges are curved outwards. This lens can converge a beam of parallel rays of light that is coming from outside and focus it on a point on the other side of the lens.
Plano-Convex Lens
To understand the topic well we will first break down the name of the topic, ‘Plano Convex lens’ into three separate words and look at them individually.
Lateral Magnification
In very simple terms, the same object can be viewed in enlarged versions of itself, which we call magnification. To rephrase, magnification is the ability to enlarge the image of an object without physically altering its dimensions and structure. This process is mainly done to get an even more detailed view of the object by scaling up the image. A lot of daily life examples for this can be the use of magnifying glasses, projectors, and microscopes in laboratories. This plays a vital role in the fields of research and development and to some extent even our daily lives; our daily activity of magnifying images and texts on our mobile screen for a better look is nothing other than magnification.
1.a length of 25 cm of a solution, containing 50 g of solute per liter causes a rotation of the plane of polarization of light by 5 degrees. find the rotation if the length is increased to 75 cm containing 100 g of solute per liter.
2.a grating is ruled over a width of 1 cm and it has 5000 lines .find the resolving power of the grating in the 1 st and 2 nd order and smallest wavelength difference that is resolved in the region 5000 angstroms in the 1 st and 2 nd orders
3.the separation of the sodium D-yellow lines of mean wavelength 5983 angstroms in the 2 nd order spectrum of a transmission grating containing 5000 lines per cm is 2.5, for normal incidence what is the difference in the wavelength between yellow lines?
4.the specific rotation of turpentine is 37 degrees and its density is 0.87. a sample of turpentine which is adulterated with kerosene of the same density gives a rotation of 52 degrees for 20 cm length of the solution .calculate that percentage of purity of the sample
5.a sample of clear sugarcane juice contained in a tube of length 20 cm, rotates the plane of polarization by 35 degrees .given its specific rotation is 60degree 30'. calculate the amount of sugar in liters of juice.
6.assume that an electron is moving along an x-axis and that you measure its speed to be 2.05*10^6m/s which can be known with a precision of 0.5%.what is the minimum uncertainty with which you can simultaneously measure the position of the electron along the x-axis ?
7.if the de Broglie wavelength of a proton is 100fm,a) what are the speed of the proton and b)through what electric potential would the proton have to be accelerated to acquire this speed?
8.write down the equation relating the energy E of a proton to its frequency f.hence determine the equation relating the energy E of a proton to its wavelength .a 180 degree meson at rest decays into two protons of equal energy.what is the wavelength of the photons?
9.a thermal neutron has a speed v at temperature T=300K and kinetics energy m0v^2/2=3kT/2. calculate its de brogile wavelength .state whether a beam of these neutrons could be diffracted by a crystal and why?
10.use heisnberg's uncertainty principle to estimate the kinetic energy of a nucleon bound with in a nucleus of radius 10^-15m.
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