Physics Questions and Answers September 20, 2022

bet E, E, E3 be the respective ground state energies of the following potential V V0 2 V0 3 (b) E3 (E E (d) E E E3 E3 which me of the following option is correct (a) E

If the perturbation H ax where a is a constant, is added to infinite square well pop for 0

A particle of mass m is confined in a infinite square V(x) ESO 1. for 0 0 E() depends on the sign of V. EB) 0

Let En (n 0, 1, 2 ) be the energy eigen value for a partic of mars m placed in an anharmonie pot V(x) mw x ax (aso). 2 Let En (n ) kw (a) E E. (b) E. E, En En for all n then arc. to Ist ooder perturbation the (C) E E (d). En En for all n

A quantum harmonic oscillator is in the energy eigen state In. A time independent perturbation 1 (ata) acts on a particle where I is constant of suitable dimension. a at are lowering raising operator respectively. Then the first ooder energy shift is given by (a) dr (b) din (0) 10 (d) (in)

particle of mass m charge which is moving 1D harmonie oscillator pat ge freq. w is subjee to a constant electric field E Ex Calculate the energ the 7th state corrected to 1st Non zeno correction. in a of

The wave fue of a 1Dim Harmonie oscillator it A exp(xx) for ground state energy E thw Po . In the presence of a purturbing pot is change in the ground state . (9) EA 101 (C) Ecox 10ky energy (k) 3 E104 (d) E 104 where x mw 14 E (9). The orde

0 Perterbation Dee Consider a system in the unperturbed state described by the hamiltonian H T ) the system is subjected to a H (8 5) where s 1. The Energy eigen values of the perturked system using the Ist odelen perturbatio approximation are () I 128 (C) (1 726) (12.8) (b) (1 ) (15) (d) (18) 4 (128).

Calculate the energy of n 1 n2 level of a hydrogen atom placed in a external uniform Electric field directed along the the zaxis by wring time independent perturbation theory.

A system with an unperturbed hamiltonian Ho, Ho Hp 15 O O D 00 0 0 3 0 O 0 O 3 E. 100 Find the eigen energies corrected to Ist ooder... is subjected to a pertu tion Hp, 1

Calculate the ground state energy of 1 Iim Harmonie oscillator . H p 2m kx

c) When a reverse gate voltage is applied to a JFET, The gate current is InA. Determine the resistance between gate and source (5marks)

A 53.5g Super Ball traveling at 28.5 ms bounces off a brick wall and rebounds at 18.0 ms. A highspeed camera records with the wall for 3.05 ms, what is the magnitude of the average acceleration of the ball during this time interval ms

The density of an object is defined as a. the volume occupied by each unit of mass. b. the amount of the substance that has unit volume and unit mass. C. the amount of the substance that contains as many particles as 12 grams of the carbon12 d. e. isotope. the amount of mass for each unit of volume. the weight of each unit of volume.

A truck covers 47.0 m in 8.60 s while smoothly slowing down to final speed of 2.30 ms. (a) Find its original speed. ms (b) Find its acceleration. (Indicate the direction of the acceleration with the sign of your answer.) ms

Suppose that a particle moves in x direction for the period (0 x 0.5), in the wave function y(x) Aeix find 1 normalization constant. 2 The expectation value of (x), (px), (T)

A child pulls a friend in a little red wagon with constant speed. If the child pulls with a force of F newtons for X m, and he does W joles of work, in what angle is the handle of the wagon inclined F(N) x(m) W(j) 1.00E013.00E012.00E02 Make sure to express your answer in scientific notation with 2 decimal points.

Q2. Blood flows through an artery with radius 0.007 cm and length 3 cm. a. Use Poiseuilles law to find the flow in the artery if the pressure difference is 4500 dynecm and the viscosity of the blood is 0.04 poise b. Suppose that cholesterol causes a 10 decrease in the radius of the artery. What percent change will occur in the flow rate.

Perspex if it has an absolute refractive index 1.5

e. A truck of mass 2,000 kg starts from rest on horizontal rails. Find the speed 3 seconds after starting if the tractive force by the engine is1,000 N. (4 marks) f. A bullet of mass 10g is shot into water melon of mass 0.2kg which is resting on a platform. At the time of impact, the bullet is travelling horizontally at 20ms1 Calculate the common

c. A wooden box of mass 30 kg rests on a rough floor. The coefficient of friction between the floor and the box is 0.6.Calculate i. The force required to just move the box (2 marks) ii. If a force of 200 N is applied the box with what acceleration will it move

e. Find the distance traveled by a car in the 7th second if it has an initial velocity of 10ms 2 and accelerating at the rate of3msec (5 marks)

b. Given that the velocity of a particle is V m nt where m 10cm s and n 2cms Find the change in velocity of the particle in the time internal between t2 i. 2s and t2 5s.(3marks) ii. Find the average acceleration in this time interval. iii. Find the instantaneous acceleration at time t12s (2 marks) (2 marks) C. A car starts from rest and

One U.S. fluid gallon contains a volume of 231 cubic inches. How many liters of gasoline would you have to buy in Canada to fill a 14gallon tank (Note IL 10 cm.) a. 53 d. 8.0 b. 21 e. 4.0 C. 14.

(c) Four resistors are arranged as shown below 402 6 10v 202 302,Calculate (i) The effective resistance (ii) calculate the potential difference across each resistor (4 marks) (4 marks)

A double slit produces the pattern shown below on a screen. The perpendicular distance from the screen to the slits is 8.20m. The slit separation is 0.195mm. What is the laser wavelength 20.3 cm

Would more U.S. Government regulation of the U.S. bond market be an efficiency improvement?

QUESTION TWO (20 MARKS) The data below gives the concentration of copper in tissues of a given plant (a) (b) Leave 35 42 60 22 39 75 52 78 56 36 17 69 25 32 48 5 46 3 S Roots 40 51 71 29 49 89 62 77 63 46 27 70 35 32 58 marks Construct a 95 and 99 confidence interval for the difference between the two population mean. 10 marks The following

Which of the following quantities has the same dimensions as kinetic energy. m Note a g LT2 h L and v LT. a. mvx b. mgt C. mgh d. e. mvt ma

QUESTION FOUR (20 MARKS) An experiment with three metals concentration was carried out over two seasons (dry and wet). Carry out an analysis of variance of data combined over seasons. and. Take Season Dry Wet Replication 1 2 3 1 2 3 Cu 4.9 2.6 4.5 5.0 3.5 5.4 As 6.0 6.6 5.7 6.4 6.3 6.6 Cr 6.7 6.7 6.8 6.1 6.0 5.9

Express 0.000000550 in scientific notation, paying attention to significant figures. 5.5 x 107 5.50 x 107 5.5 x 107 a. b. C. d. e. 5x107 5.50 x 107

A 30.0 kg cart traveling at 5.00 ms collides with a 50.0 kg cart. Both carts stick together and immediately come to rest after the collision. What was the velocity of the 50.0 kg cart (7 pts) like

QUESTION ONE 20 MARKS (a) Determine the molecular point group for each of the following species (i) XeO4 (ii) CC13 (iii) NOF (iv) I3 (6 marks) (b) (i) Generate a matrix representation of the C2h point group using a set of x, y, and z coordinates as your basis. (2 marks) (ii) Show that the matrix representation satisfy the requirements of a

a. The sun subtends an angle of 0.5 at the earths surface, where the illuminance is about 105 lx at normal inci dence. Determine the luminance of the sun. b. Determine the illuminance of a horizontal surface under a hemispherical sky with uniform luminance L.

f. The mobility of free electrons and holes in pure germanium are 3800 and 1800 cmV.S respectively. The corresponding values for pure silicon are 1300 and 500 cmV.S respectively. Determine the values of intrinsic conductivity for both germanium and silicon. Assume n 2.5103 cm3 for germanium and n 1.5100 cm for silicon at room temperature.

d) A FET has a driven current of 4mA. If the IDss 8mA and VGs (off)6V. Find the values of VGs and Vp. (8marks)

4. a) Answer both of the following questions regarding Special Relativity An astronaut leaves their twin behind on Earth and departs on a journey on a spacecraft travelling at a speed of 0.840c. After 40.0 years pass on Earth, the astronaut returns to Earth to find that their age is now different from their twin. How old is the astronaut upon

d) Determine the base, collector and emitter currents and VCE for a CE circuit shown in the figure, For Vcc 10 V, VBB 4 V, RB 200 k2, Rc 2 k2, VBE (on) 0.7 V, and 200. (10 marks) V884V o Pg 200 Vcc 10 V Rc 2 ks

Two metallic rods are connect in parallel to heat reservoirs held at T1 and T2, respectively. One rod has a circular cross section and the other has a square cross section. Calculate the heat flow rate for the two rods for the following parameters Rod 1 Rod 1 Thermal Rod 2 Rod 1 Rod 2 Thermal Rod 2 DiameterConductivity Length Area

ii) A body of mass 50 kg initially moving at 20 ms accelerates to a velocity of 30 ms in 5 seconds. Calculate the force acting on the body. 3marks

You are analyzing an Atwood machine with masses m and m connected over a pulley by a massless unstretchable string. The lefthand mass, m, rests on an inclined plane forming an angle q with the horizontal direction. Find the acceleration of the masses and the tension in the string. m1 10 m2 55 theta 60 Make sure to express your answer in scientific

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Consider a state y) 11)102)3) which is given in terms of three orthonormal eigenstates 1), 102) and 103) of an operator B such that Bn) non). Find the expectation value of B for the state ly).

b) An object is placed 20 cm from a concave mirror of focal length 15 cm, show using ray construction the location of the image, describe the characteristics of the image 6marks c) By applying mirror formula, find the position of an object that gives an image located 15 cm in front of a concave mirror of focal length 10 cm. 6marks

A variation calculation is done with the normalised to all wave fue 4(x) 15 49.52 (9)) for the 1dim potential well. Dan if Ix a if 1x1 za The ground state property is estimated to be (a) (b) h ma 2 5 V(x) 0 2 3 mq 30 3 12 5 ma 61 (c) (4) ta 5 ma

On an icy road during a snowstorm, a 500 kg car moving at 10 ms loses control and skids into a parked snow plow with a mass of 4,000 kg. If the car bounces backward at 2.0 ms, what is the velocity of the snowplow after the collision (8 pts)

A bead slides without friction around a loop theloop. The bead is released from a height h from the bottom of the looptheloop which has a radius r. h r Which of the following diagrams best rep resents the kinetic energy of the bead versus time,1. 2. correct 3. 4. 5. K K K K K

PredictCalculate A grandfather clock is powered by the descent of a weight havong a mass m descenting a distance y meters in time t days. (a)how much power does it deliver to the clock (b) To increase the power delivered to the clock, should the time it takes for the mass to descend be increased or decreased Explain. m(kg) y(m) 12 7 t(days) 10

d. Tectonic plates are large segments of the Earths crust that move slowly. Suppose that one such plate has an average speed of 4.0 cm year. (i) What distance does it move in 1 us at this speed (ii) What is its speed in kilometers per million years (4 marks)

6.0 Draw the sketch of a fiber optic cable and label the main parts. Hence state two of its applications (3 marks)

i. A car is traveling at a speed of 33 ms .If it is mto be stopped in 8s, (i) What is the acceleration required (ii) What would be the force required assuming that the vehicle weighs 800Kg (4 marks)

A 30 KN block is resting on a rough horizontal surface for which the coefficient of friction is 0.30. Determine the force P required to cause motion to impend if applied to the block a. Horizontally. P (5 points) b. Downward at 15 with the horizontal. P. N. f (15 points)

When illuminating a Drosophila compound eye with bluegreen light, which photoreceptor type(s) isare expected to respond R1R6 respond relatively strongly R8 respond relatively strongly R1R6 respond only weakly R7 respond if at all only weakly

Moving Electron An electron with an initial horizontal velocity, Vo, enters a region of uniform electric field, Eo, of width W. The electric field is oriented vertically. Develop expressions for the following quantities in terms of vo, E., W and fundamental constants. Ignore gravitational effects a) Find the time it takes the electron to exit the

A light ray entering an optical fiber (made from crown glass) surrounded by air is first refracted and then reflected as shown below. 7 7 a. What is the minimum angle 0 (greater than or equal to 0) at which an incident ray will still be totally internally reflected Minimum angle 0 deg. (Only enter values 0 or greater.) b. What is the maximum

A bullet having mass m and velocity v collides with a block at rest having mass M. Mass M is attached to a spring which is at its equilibrium position and has a spring constant k. Calculate the compression of the spring when the bulletmass system comes to rest if m(kg) M(K) v(ms) k(Nm) 1.50E02 5.00E00 2.50E02 1.50E01 Make sure to express your

Argon gas has a density of 1.45 kgm at standard temperature and pressure. Under standard temperature and pressure conditions, what volume would 1.24 kg of argon occupy A) 1.8 m OB) 1.2 m C) 0.86 m OD) 0.21 m

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A baseball is thrown with an initial velocity (vo) of 50 ms at an angle 0 45 above the horizontal. Height (h) of the highest point of the trajectory will be approximately at 88 m V 130 m 116 m 98 m R h

A rod 12.0 cm long is uniformly charged and has a total charge of 24.0 C. Determine the magnitude and direction of the electric field along the axis of the rod at a point 36.0 cm from its center. magnitude NC direction

g. Consider a uniform electric field E oriented in the x direction in empty space. A cube of edge length, 1, is placed in the field, oriented as shown in Figure 2 below. Find the net electric flux through the surface of the cube. (4 marks) Figure 2 N d l (4) AdAs dA 3 (2) 711 d

A new airbag is being tested in car crashes to test how well it reduces the force on occupants. The car (1200 kg) is initially moving at 30 ms and then is quickly brought to rest. The new airbag is in contact with the crash dummy for a total of 2.6 seconds. The current airbags are in contact with the dummy for about 2.4 seconds. Which airbag is

An FI has purchased a 215 million cap of 8 percent at a premium of 0.80 percent of face value. A 215 million floor of 5.5 percent is also available at a premium of .85 percent of face value. a. If interest rates rise to 9 percent, what is the amount received by the FI What are the net savings after deducting the premium b. If the FI also purchases

Calculate the energy of the inth lene for a particle.... of mass m moving in the botn V kx

Consider a particle of mass m that is bouncing vertically elastically reflecting hard floor where V(Z) on a mgz 7 ZYO Z 0

A particle in I dim moves under the influence of a where a se a real constant, for V(x) ax6 botn large n the quantised energy levels. En depands on 43 nas () (a) En n (c) 65 3, (d) Enn

Use the WKB approximation to find the allirived energies of a partile of mass m moving in the both V.(x) xx where ) ve no. on x

What will be the output of the following C segment char str hello,world printf(d, strlen(str)) OA. 11 OB. 13 O C. 12 O D. Compilation error

to particle are distributed in 3 given cells, per particle o, , 3e with energy such that with n 3, 15 335 If total Ene of the system remains same. Then find Sn, son when Inz 1 Also find the ther. thermodynamical prob. for addi new distribution

Consider a system of N paramagnetic atoms each have mag moment M, are placed in mag. field B. natoms ar allined 11 to B 8 (Nn) allined antille to B. find (1) Internal En. of the system (ii) Entropy of the system (iii) the thermodynamic temp. of the system.

system of particle fixed in space, each particle has total q. No. J, the mag. q. no. m.j., whic has (251) values J (J1) 4.Jr. energy. of a level. In a In presence of m is given by.. E field B. the m 84B g. 7 hande gfactor find partition fem for such an atom in mag. fice

Consider atD. Ising model of N sping at temp. where all splins are other. There will be with each spin flip 25. In a energy. aligned 11e to each few spins flip at temp. T is added.. energy configuration of N spins, rspins are flip, the the system, of the very lowe C is. E NJ 2YJ rHip spin energt gallsbin are lle is No. of configuration is NCY,

In a system, there are three energy states, The total energy having energies, 0, KBT 2KBT , . find the no. of partic of the system is 1000 KBT. in different states average en. of each particle.

A system of 5 laentical but distinguishable particles 1 having energy 38. The single particle state ove gaitable at energies, 6, , 26, 3. it find the are no. of particles in each (11) Sketchni(e) with energy. energy state

The energy requirea r a xarrie vucany ma of vancancies at ter crystal is lev. find out the ratio 1200K 300 K. ) 880 d.) elo

Consider a system of two Ising spins s, Sz taking values II with internal energy E JS S leltitis in thermal equilibrium at temp. I. The ave. en. varies as CIKT for large T. then C varies as J, J J. J

Partition fun for a system away any which can of two particles each of of energy level ost. one

Two particles are cells A to be distributed in different. having energies 0, , 26 The gr state is states are doubly degenerate nondegenerate, while the exciti of distribution such that the En Find the ways of the system is 3E bf particles are

show that at T OK in e N(Eff Ef) Ntotal 3 2 Ef where Eflo)

no. of e per unit area is given b for a 2De. n 4XmKBT log (cfIKET 1) h

show that the partition fun of a relativistic gas of momentum N mono atomic malecule the relation E pc is energy nawing IN BAY (NOT) 3 gpdf g(e) de

A physics student has a 25 chance of passing their physics final. If 124 randomly selected physics students are selected, answer the following. a) Which is the correct wording for the random variable Select an answer b) Pick the correct symbol c) Pick the correct symbol d) What is the probability that exactly 27 of them pass their physics final

Find the Fourier expansion of f(x) 1, for 0.3 1, for 3,0).

An electron the number a is initially in the n3 state and this state is 10dget. The that the takes before makion of n 2 state is 8.2x106 everage lifetime of revolution transition to the 18.2x105 8.2x104 821107

5 Suppose EM be the binding energy of hydrogen atom and Ep be ti binding energy of the positronium a tom which consists Flum, which of the following statements is done of a position and an electron. Ep EH 6 Ep JEM O p 1 EH Ep 2 E H a G C

the radius 0.285pm the first Bohr orbit is Do.395p.m. 0.915.p.m. 955.p.m.

GO The binding energy 1750 ev 2140 ev the atem 24 1. 12530 ev 3120 ev.

The 6.5A a first line of 18.8 A 25.399 953 n the Balmer series

bombards lectrons bombards a sample 25 An accedarated beam of elections of hydrogen and the first line cy paschen series i emitted. The electrome must have been accelarated through a minimum potential difference of 12.av 14.1 V 16.7 V 19.11

Consider the spectral line resulting from the transition n 2 and n1 in the atoms and ions. below given The shortest wavelength will be produced by Hydrogen atom Deutron atom Single ionized helium Doubly ionised Lithium.

3 A in beam a energy separation blw the and antiparallel 5 m of e Ceach of uniform magnetic field B along Zaxis. The es having spin parallel rest mass m, charge e) entex. with meegnitio field su in 6) 2m m Do

How does the total angulors momustum quantes number I change in the transition Gr (306) atem. J ionizes to Cr2 (344) S

atom the measurement of different the separation blo levels of increasing order into ratio 35, find out the lis, j for the given levels, 2. for cirtain spectral lines are made adjecent energy. Cormes out quantum no.s

for a certain atom the measurement of different spectral lines are made the separation bw odjecent levels of increasing out Comes out into ratio 35. find the quantum no.s I, s. kj for the given devels. energy orders comes

Corres The first line ponding q to principle series the convergence Sodium atom is at 16960.cm and sest limit of the sharp series of Naatem is at 29990 cm calculate the binding energy or the tonisation potential of Naatem. 80 66 cm). (lev 20

In the in the BD2 o te B presence of Separation D, devel. 247mc (6) Feb 1271mc field B what weak mag. blow ble the Expileted Sublevel none of these

Jine consists Zeeman pattern of nine equidistant components. The upper state term is to be 3p. The lower state term CD 832 6 2 Th known will be 380 95112 of a 3 3 o ,

In the presence of external weak magnetic field, ( the number the state of Substates into which split, is 3 e 40112 La 2 will d d) none of these ( G

In a normal Zeeman effect Zeeman Spliting of the line Corresponding to the effect experiment the spectral the wavelength 6938mm. of Cadmium 5 atom a to be observed. The spectrometer has a of 0.01 nm. That minimum will resolution be the minimum magnetic magnetic field needed to observe this me 9.1 x 10 k, e 16x10 19 C. 0.26 T ) 5.21. 052T at to

a The number of distinct spectral lines that are observed in the resultant Zeeman Spectrum is (d) 6 2 (6) 3 17 S

The spectral line corresponding to this transition 2 (m 12 ) S (m 1) of SY is observed along the direction field. The emitted electromagnetic field in is 6 circularly Polarised Unpolarised He applied mag. 1 Linearly Polarised Not emitted along the mag.

The number of Zeemon components for transition in oneelectron atem will be 1 6 6.8 lo C 92 D3 2 12. 15