S
  1. study help
  2. subject categories
  3. sciences
  4. physics
  5. october 2022
  6. 27

Physics Questions and Answers October 27, 2022

Expert-verified solutions to help you succeed

For the ring counter shown in the figure, if initial state of the counter is (1110), then the number of MOD of the counter is D Q D Q vodo D3 Q3 Do Qo

For an ideal operational amplifier of differential mode gain is 10,000 and common mode gain is 100 then CMRR is (in dB) 40 20 100 1000

The half life of 226Ra is 1620 years, the radioactivity of 1 gram of 226Ra x 1010 disintegrationsecond. (Upto one decimal places). is

The degeneracy of the excited state of nitrogen having configuration, 1s 2s2p3d should be an integer). (answer

A positronium atom is a system consists of a positron and an electron. The wavelength of the first Balmer line for positronium is (in the units of ) (answer should be an integer). (Given Wavelength of the first Balmer line for hydrogen is 6563 ).

Consider two events separated by a distance 6108 m in frame S. The maximum possible separation between them so that they may be simultaneous in another frame is 1 sec 2 sec 3 sec 4 sec

The minimum distance of approach of a planet (m) orbiting around sun (M) in elliptical orbit is 2a3, where a is the semimajor axis. The angular momentum of the planet is 12 O O O GMma 22 3GMma 22 GMma 2 GMma 2 12 12 12

Electric field at a distance of 1cm from a long wire near its middle is 9 106 Vm charge density on the wire is 2.5Cm O2Cm 5Cm 10Cm

Electric dipole moment of charge configuration shown in the figure with respect to origin is ZA a a XV O qaz 2qayqa 2qay qaz O 2qaxqa

Dimension of EH (where E is electric field and H is magnetic field intensity), is same as O frequency resistance capacitance inductance

For a perfect free electron gas in a metal, the magnitudes of phase velocity (v) and group velocity (v.) are such that Vp Vg H Vp 1218 vp 2vg Ovp 2vg P

In the Fourier series expansion of f(x).10x10 (x) 2 , cos(nax) b, sin (nxx) 2 n1 a If maximum value of f(x) is 10, then the value of 20 15 10 0 15 120 125 f(x) 10 10 .(bs bo). is 5 15 x 20

In a particular metal at 300 K, each of the electrons have chemical potential 2.03 eV. A certain quantum state has energy 2.00 eV, and it contains not more than one electron. The probability that it is empty is (Round off to two decimal places)

TV2) (Vb) RT, where a, bare positive constants of appropriate dimensions and R is universal gas constant, the value of critical temperature of the gas The equation of state for one mole of a gas is given by P O O 8a 27bR 8a 27bR O 3a 27bR a 27bR

Consider that the density of states g(E) for super relativistic gas is defined as 1, 0 ED g(E) The specific heat at constant volume Cy for gas of bosons and fermions in very low temperature limit (T 0) varies as O Cy a T for bosons and Cy a T for fermions O Ca I for bosons and Cy a T for fermions O Cya T for bosons and C a T for fermions O Ca T

The radial wavefunction of a hydrogen atom eigenstate is shown below Rnt(r) (in units of Bohr radius) If the energy of this state is (0.85) eV. then the value of (1) for this is 02 O 6h O 12 20

The wave function of a particle constrained to move in one dimension is shown in the graph below 3a 2a a 1 2 3 4 5 X The probability that the particle will be found between x 2 and x 4, will be . (Upto two decimal places)

Suppose 9m) and 9) are stationary state wave functions of a particle in an infinitely deep symmetric square well potential. Which of the following statements about (P)0, is true Or is odd integer and (m n) is odd ris odd integer and (m n) is even r is even integer and (m n) is even none of these

The value of R. for the given circuit diagram will behave like a regulator circuit, if V6V, 15 mAis(in the unit of ) (answer should be an integer). 50 22 10 V 6V 2 o

For the given opamp network shown determine voltage gain if source impedance is 1 K 06 O4 07 5 2K 12 K W

Consider the adecay of 29 Pu 240 Pu 235 U He The emitted aparticles are observed to have energies 5.17 MeV and 5.12 MeV. The energy of the emitted photon is MeV.

A certain spectral line of wavelength 4266.73 produces a normal Zeeman pattern when it is placed under a external magnetic field 4Wbm. The wavelengths of the sigmacomponents of the Zeeman pattern will be 4266.4A, 4267.06 4266.1A, 4267.36 4265.8A, 4267.66 4265.1A, 4267.66

The normal modes of vibration of CO molecule are observed at 1330 667 cm1 (doubly degenerate) and 2344 cm1. The total zero point energy of the CO2 molecule is 31.1 eV 0.031 eV 0.311 eV 3.11 eV

The far infrared rotational absorption spectrum of a diatomic molecule shows equidistant lines with spac ing 20 cm. The position of the first stokes line in the rotational Raman spectrum of this molecule with respect to Rayleigh line is 20 cm O 40 cm 60 cm 120 cm

Let (p, q) and (P. Q) be two pairs of canonical variables. The transformation Qq cos Bp. P q sin p is canonical for 0 28 12 O a 2, 2 a1, B 1 O a 11 , B 2

The Hamiltonian of a particle is H 2m sponding canonical momentum. The Lagrangian is O O m(dq 2 dt m (dq 2 dt mdq 2 dt m 2 9 dq dt 9 9 9 dq dt pq. where q is generalised coordinate and p is the corre daq dt

Three straight long wires each carrying 153 Amp current are placed at corners of an equilateral triangle of side 15cm. The wires are perpendicular to the plane of triangle and extend upto infinity both above and below it. If current in two wires are same direction and one in opposite direction then magnetic field at the centroid of triangle is x

An intrinsic semiconductor with mass of a hole m,, and mass of an electron m, is at a finite temperature T. If the energy of top of the valence band is E, and the energy of bottom of the conduction band is E the Fermi energy of the semiconductor is O E EF EF kT 3 Er ( 2 ) (E Ec) In 4 E Ec 2 E Ec 2 kT 2 3 kT In 4 m m kT ln m (Ep Ec) In mh

The energy E(F) of electrons of wave vector in a solid is given by E(K) Ak Bk, where A and B are constants. The effective mass of the electron at ko is Ak 2A 2A 12 Bk BK

For a conventional superconductor, which of the following statements is not TRUE Specific heat is discontinuous at transition temperature Tc. The resistivity falls sharply at Tc. It is diamagnetic below Tc. It is paramagnetic below Tc.

The Lagrangian of a system is given by m 1 (r r0 r sin 04) mgr cos 8 Which of the following isare conserved for the system O Energy OPx O Py O L

Consider Xray diffraction from a crystal with face centred cubic (fcc) lattice. The lattice plane(s) for which diffraction peaks can be observed isare (2, 1, 2) (1, 1, 1) (2, 0, 0) (3, 1, 1)

Consider the following differential equation dy dx dy 44y0 dx dy under the condition y x 0 and (x0)7. Which of the following option(s) isare correct dx y(x0.2) 0 y(x0.7) 0 Oy 0 as x y(x) 2(15x)ex

For the transistor shown below, B 30 and VCEQ 6V. Which of the following option(s) isare correct 12 Vq V0 15 KQ 100 KQ 12 V 2.2kQ OV3.95 V V 6.43 V The base current is 0.09 mA The base current is 0.045 mA.

A purchased 90 tickets of a lottery in which total prize money was 2000. Out of 450 tickets is all were sold, then the expectation of A is how much rupees O 600 O 500 400 200

4. Recall the weird vector space given in Question 1 of Assignment 2 V R with operations defined by (u, U2)(V1, V2) (u v1, 22 1) k(u, u) (kuk1, kuzk1) Let u (1,0), (1,0). (a) Show that (u, v) form a basis in V (you must use these weird operations.) (b) Find the coordinate vectors of (2,0) and (0,0) and (1, 1) relative to this basis (again,
image

The difference between the squares of two consecutive odd integers is always divisible by which of the following numbers. 6 12 16

The Gross domestic product (GDP) in rupees grew at 7 during 2012 2013. For international comparision, the GDP is compared in US dollars (USD) after conversion based on the market exchange rate. During the period 201213 the exchange rate for the USD increased from Rs. 50USD to Rs. 60USD. Indias GDP in USD during the period 201213. increased by 5

What should come in place of question mark() 5 9 034 O 100 O 20 40 18 (1) 8 6 4 6 26 9 7 4 11 (III) 12 5

The table below has question wise data on the performance of students, in an examination. The mark for each questions are also listed. There is no negative or partial marking in the exam. Q.No. Marks Answered correctly Answered wrongly Not attempted 1. 2 2. 3 3. 2 21 15 23 17 27 18 What is the average of the marks obtained by the class in the

The solution of the differential equation. (xy y)dx (2xyx)dy0 will be xy constant y. X 42 42 constant y constant constant

11 The imaginary part of the value of the integral (xiy)dz along the path y x (in the complex plane) is reciprocal of (Answer should be an integer)

The shortest wavelength produced in an Xray tube operated at 1 million volts will be of the order of,O10 A O102 O104 O 106

In a HCI molecule, the energy gap between the two vibrational levels is eV. (Upto two 0.36 eV. Its zero point energy will be decimal place)

If the binding energy of the electron in Kshell of the silver atom is 26.8 keV. The kinetic energy of the Auger electron is 17.8 keV. Then the binding energy of the electron in Lshell is 20 keV 4.5 keV 9 keV O 10.5 keV

The count rate of nuclear radiation coming from a radioactive sample containing 1281 varies with time as follows Time t(minute) Count rate R(x10 s) The mean life is 25 min 36 min 50 min 30 min 0 30 25 16 50 8.0 75 3.8 100 2.0

A uranium reactor develops thermal energy at a rate of 300 GW. Average energy released per fission is 200 MeV. the amount of 235U being consumed every second is O 74 g 037g 07.4 g O 3.7 g

A uniform circular disc of mass 1 kg and radius 1 meter is rotating with angular speed 2 radsec about axis through its center and perpendicular to its plane. Angular momentum of disc about a parallel axis through a point on its periphery is kgmsec. (answer should be an integer)

Polar equation of orbit of a particle moving under a central force is given to be re constant. If force on the particle varies with distance r as fr then value of n is 03 4 O 03 05

If electrostatic potential in a charge free region be V(x, y, z) 3x y 42 then value of 3 is 01 05 O7 02

For the given zener diode circuit 1 K www 10V .8V 2K Assume forward drop across zener diode is 0.7 V. The current across 1k2 resistors 9.3 mA O 9.7 mA O 2 mA 2.6 mA

A sample have BCC structure, in Xray diffraction. Which of the following peak will not be observed O (112) O (222) O (111) O (422)

Consider the free electron gas comprising of N molecules in one dimension, confined in a region of length L at zero temperature. The FermiEnergy is h (3N 2m 8L h (N 2m 2L Oh (N 2m 2L 33 33 h N ORG 2m 2L

A second order phase transition is one in which the plot of entropy as a function of temperature shows a discontinuity the plot of specific heat as a function of temperature shows a discontinuity the plot of volume as a function of pressure shows a discontinuity the plot of comprehensibility as a function of temperature is continuous.

Unit mass of a liquid of volume V completely turns into a gas of volume V at constant atmospheric pressure P and temperature T. The latent heat of vaporization is L. Then the change in internal energy of the gas is OL OL P(VV) OLP(V2 V) zero

Electrons emitted from a hot filament are accelarated through a voltage drop of 100 V. The deBroglie wavelength of the accelerated electron is (in the units of ) (Upto two decimal place)

Consider a system whose normalized state is given in terms of an orthonormal set of three vectors 11). 12)3) as 2 ) ) Now, consider an ensemble of 900 identical systems, each one of them in the state ly). If a measurement is done on all of them, the number of systems which will be found in the state 3) is equal to O 100 200 O 300 O 400

l, m denote simultaneous eigenstates of L and L.. Expectation value of the operator L . L for the state 2.1) is equal to 0 2 O 2 None of these

A spin 12 particle is in a state described by y) A(2). probability of finding the particle with spin projection S, 01 6 2 01 3 3 where A is a normalization constant. The 15

The matrix A where T degree) cos sin 1 P is transformed to the diagonal form DTAT using similarity transformation, P 1 sin e cos (Answer should be an integer) The minimum value of for which D will be a diagonal matrix, is (in the units of

Consider the follwoing integral (xy) dxxdy, where c is the triangle with vertices (0, 0), (2, 0). (2, 4) in the clockwise direction. The value of the integral will be (Upto two decimal place)

Two levels in an atom, whose nuclear spin is I 3, having the spectral term D2 and P2. The number of component in the hyperfine structure 5 0 3 04 06

In a rotational microwave spectrum of C1018 transition J3J4 is 24.893 cm. In a rotational Raman spectrum of 60, the lines are equally spaced by 40 cmr. Assuming that the force constant for the two mol ecules is inversely proportional to their bondlength. The ratio of the vibrational frequency of C08 to that of 160, will be

A permanently deformed eveneven nucleus with JP2 has rotational KeV. energy 120 keV. The energy of third excited state is (Answer should be an integer)

A nucleus undergoes the transition OM, E2, M3, E4 O M, E3, M4, Es OE, M, E3, M4 OE2, M3, E4, M5 to The radiation emitted would be

A uniform square plate of side 1 cm lies in xy plane. Diagonals of the plate are along the straight lines y x 1 and yx3. If moment of inertia of the plate about zaxis be 62 gm cm then mass of the square plate is gm. (Answer should be an integer)

Evaluate the following Poisson bracket (). (b ), where and b are constant vectors (b) (F) 2(b) (r) O (aF) (b.p) (a.p) (b.F) O

An electron accelerated through a potential difference of 1 kV moves in a uniform magnetic field 0.0297. Pitch of the helical path is cm.

A plane electromagnetic wave E Ej cos(wtkx) propagating in space. If E 510Vm and mV. (Round off to w 10 x 10 radsec amplitude of e.m.f. induced in the loop shown in figure is three decimal places) Z YA cm 50 cm X

Consider a scattering process with phase shifts given by 5 45, 6 30. If the incident wavevector is equal to 27 fm, the total scattering crosssection will be fin. (Upto two decimal place)

For a 5 bit DAC (weighted resistor) maximum value of resistance used if the resistance of MSB is 1k 8 4 ) 2 16

A sample of FCC lattice with lattice constant a 3. If each atom contribute one free electron to the lattice. The fermi energy of the crystal is eV. (Upto one decimal places)

Planar density in SC on (111) plane is O 0.707 O O 0.577 O 0.288 2 a X

A DC voltage V 3V is applied across the junction of super conductor. current is GHz. (Round The frequency of superconducting off to nearest integer)

Consider a collection of N two level systems in thermal equilibrium at a temperature T. Each system has only two states 0 and an excited state of energy e. Probability that a system will be found in excited state and entropy respectively at very high temperature, vary as OP 0,S 0 OP, S OP OP , S ,S Nken 3 N kln 2

A system consists of N very weakly interacting particles at a temperature sufficiently high such that classical statistics is applicable. Each particle has mass m and oscillates in one direction about its equilibrium position. The heat capacity at temperature T,if restoring force is proportional to x. Nk 2 05 Nk ONK 0 3 Nk 4

A weak perturbation of the form V(x)V 8(x2a) is applied to a 1D harmonic oscillator of frequency o, where a mo. The first order correction to ground state energy for a particle of mass m is mo V h 12 The value of a is (Answer should be an integer)

A quantummechanical system is known to possess only two energy eigenstates denoted by 1) and 2). The system has an observable P. The states (1) and (2) are normalized but they are not necessarily eigenstates of P. Given that (1P1) (1P1) . The value of matrix element (1P2) is 00 2 01 4 2

The fluidity of a lipid bilayer will be increased by A. decreasing the number of unsaturated fatty acids. B. decreasing the temperature. C. increasing the length of the alkyl chains. D. substituting 182 (linoleic acid) in place of 180 (stearic acid). E. substituting 180 (stearic acid) in place of 182 (linoleic acid).

The Fourier series of a function f(x) ofperiod 2L is given by f(x)a, cosb, sin 2 L n1 Which of the following option(s) isare correct for the following function f(x) 2 for2x0 x for 0x2 an 0 for odd n a0 for even n, n 0 a 3 3 2 ao NAX L

Choose the correct optionoptions from the following options. The quark content of A resonance particle is dds. A baryon having strangeness number equal to 1 can have charge equal to 1,0 and 1. If reaction K Xe , is governed by weak interaction, then the particle X is a fermion (m m m) c 2m If Edecays at rest as n, then total energy of neutron is

A particle of mass m is moving in a parabolic orbit around a star of mass M. IfL denotes its angular momentum and the minimum distance of its approach is , then which of the following statement(s) isare correct L m 2GMro LmGMro The radial component of its kinetic energy at the point of minimum distance is zero. The angular component of its

If the sum of five consecutive integers is S, what is the largest of those integers in terms of S O S10 5 O S10 4 OS 10 5 O S10 10

A person first moves 8 km west, then 6 km north, next 3 km east, and finally 6 more km north. How far is the person from his starting place 13 km 17 km 19 km 21 km

The Laplace transform of is 4 O 24 1 s2 1 0323420 03414,122 S S2 f(t) 4t cosh 2t sinh 2t

Consider the function. f(x)0 1 The derivative of the function f(x) will be 00 01 08(x2) for x 2 for x 2

Identify the logic function performed by the circuit shown in Fig. xo O exclusive OR O exclusive NOR O NAND ONOR yo f(x,y)

In the circuit of figure the value of voltage v, is O 10 V 0 15 V O 20 V O None of these V. 15 V 50 TIA

Two particles of masses m, and m, are placed along a straight line. They move due to their mutual gravitation force. Ifx, and x, be the coordinates of the particles then Lagrangian of the system is 1 L (mx mx ) Gmm. xq x O 1 1 (mx mx) Gm,m, xx Gm.m 1xx1 L (m x m x ) L (mx mx) 2 Gmm2 xx

If Q In sin p 9 P q cot ap be a canonical transformation then value of a is

The excitations of a threedimensional solid are bosonic in nature with their frequency and wave number k are related by ck. If the chemical potential is zero, the behavior of the specific heat of the solid at low temperature is proportional to 12 0732 T OT

In firstorder phase transitions which of the following is continuous Volume chemical potential O Entropy All

If A and B are two Hermitian operators then which among the following isare Hermitian ABA iA, B O (1i) AB(11) BA O All

The value of uncertainty in radial distance (Ar) for the 2p state of Hydrogen atom is (Here, a, is the Bohrs radius) 4 O 5 a 5 a 00

The number of distinct energy levels for a cubical box of side a in the energy range 0

A particle having charge q moves in electromagnetic potential (A). Rate of change of mv q is equal to gradient of qo qqA.v qoqA.v qAVqo O

The electronic configuration of Fluorine Fis 1s 2s 2p. The ground state term for this configuration is P2 02512 0 P312 02D312

An atom in its triplet state S is subjected to external magnetic field of 1 cm. (Round Tesla. The splitting of the state is shifted by off to two decimal places)

Consider current I flowing from to o in wires laid along xaxis and yaxis. Magnetic field at (0. 0. d) is d MOI 0

A ppolarized light is incident on the interface of air and dielectric medium with dielectric constant , 3 from air making angle 30 with interface. The ratio of intensity of reflected light and incident light is 0 23 13 14