This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 6801. |
One way to keep the contents of a garage from becoming too cold on a night when a severe subfreezing temperature is forecast is to put a tub of water subfreezing temperature is forecast is to put a tub of water in the garage. If the mass of the water is 135 kg and its initial temperature is 20^(@)C, (a) how much energy must the water transfer to its surrounding in order to freeze competely and (b) what is the lowest possible temperature of the water and its surrounding until that happens? |
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Answer» |
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| 6802. |
A radioactive nucleus (initial mass number A and atomic number Z) emits 3 alpha -particles and 2 positrons. The ratio of number of neutrons to that of protons in the final nucleus will be: |
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Answer» `(A-Z-4)/(Z-2)` n=A-12-(Z-8)=A-12-Z+8 =A-Z-4 and p=Z-8 `n/p=(A-Z-4)/(Z-8)` |
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| 6803. |
Two wires A and B of same material having their lengths in the ratio 6:1 are connected in series. The p.d. across the wires are 3V and 2V respectively. If r_(B)//r_(A) and r_(B) are radii of A and B respectively, r_(B)//r_(A) is |
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Answer» `1//4` |
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| 6804. |
A parallel plate capacitor is charged and then isolated. Now a dielectric slab is Introduced in it. Which of the following quantities will remain constant ? |
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Answer» Electric charge Q INCREASED accroding to `V = (Q)/(C) ` the potential V is DECREASED . Hence energy `U = (1)/(2)C^(1)V^(2)` also changes so charge Q remains constant. |
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| 6805. |
Energy released during the fission of one Uranium-235 nucleus is 200MeV. Energy released by the fission of 500gm of U-235 nuclei will be about |
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Answer» `3.5xx10^20` MEV |
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| 6806. |
In precious question the switch is kept closed for a long time and then assume it is opened at t = 0. Write the expression of charge on the capacitor as a function of time. |
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Answer» `q = 2CV E^(- t//3RC)` |
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| 6807. |
A cyclist rides round a curved path of radius 10m at a speed 18 kmph. If the cycle and the rider together have a mass of 100 kg, the firctional force the ground exerts on the wheel is (g = 10 ms^(2)) |
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Answer» 250 N |
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| 6808. |
In case of superposition of waves (at x = 0). y_1 = 4 sin(1026 pi t) and y_2 = 2 sin(1014 pi t) |
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Answer» the frequency of RESULTING wave is 510 Hz |
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| 6809. |
In thefollowing velocity time graph of a body the distance travelled by the body and its displacement during 5 second in meter will be : - |
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Answer» 75,75 |
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| 6810. |
Which of the following transitions gives photon of maximum energy |
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Answer» n=1 to n=2 |
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| 6811. |
A ray of light in air is incident on a glass slab at an angle of incidence of 60^@ . When it travels through glass, it is deviated through 15^@ . What is the refractive index of the material of the glass slab? |
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Answer» 1.275 |
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| 6812. |
For the damped oscillator shown in previous figure, k= 180 Nm^(-1) and the damping constant b is 40 gs^(-1) .Period of oscillation is given as 0.3 s, find the mass of the block . (Assume b is much less than sqrt(km)). Hint :T = 2pi sqrt((m)/(k)) |
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Answer» SOLUTION :`T = 2pi sqrt((m)/(K))` `= m = ( T^(2)k)/(4pi^(2))= ( 0.3 xx 0.3 xx 180)/( 4 xx ( 3.14 )^(2)) = 0.4 kg ` |
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| 6813. |
Two monochromatic light waves of equal intensities produce an interference pattern. At a point in the pattern, the phase difference between the interfering waves is pi//2 rad. Express the intensity at this point as a fraction of the maximum intensity in the pattern. |
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Answer» Solution :Data: `I_(1) = I_(2) = I_(0),PHI = pi//2` rad The resultant intensity at the point in the pattern is `I= I_(1) + I_(2) + 2sqrt(I_(1)I_(2)) cosphi` `=I_(0) + I_(0) = 2sqrt(I_(0)I_(0))cosphi` `= 2I_(0)(1+1) = 4I_(0)`...................(i) Also, `1+ cosphi = 2 cos^(2) phi/2`................(2) Also, `1+cosphi = 2 cos^(2) phi/2`.........(3) From Eqs. (1) and (3), `I= 2I_(0)(2cos^(2)phi/2)`[From Eq. (2)] `I=2I_(0) ( 2cos^(2)phi/2)` `=I_("MAX")(cospi/4)^(2) = I_("max")(1/sqrt(2))^(2)` `THEREFORE I= 1/2I_("max")` |
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| 6814. |
The zeros of the polynomial x^2+16x-2 are |
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Answer» `-3,4` |
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| 6815. |
(a)Using Bohr's postulates, derive the expression for the total energy of the electron revolving in nth orbit of hydrogen atom. (b) Find the wavelength of the H_(alpha) line. Given the value of Rydberg constant is 1.1 xx 10^(7) m^(-1). |
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Answer» Solution :(a) See SHORT ANSWER Question NUMBER 32. (B) See Short Answer Question Number 17. |
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| 6816. |
what is greater? The attraction of earth for an apple or attraction of the apple on the earth? |
| Answer» Solution :The earth is a stable-orbit and the GRAVITATIONAL force of ATTRACTION of the SUN is PERPENDICULAR to it’s VELOCITY. | |
| 6817. |
What is the ground-state energy of (a) an electron and (b) a proton if each is trapped in a one-dimensional infinite potential well that is 300 pm wide? |
| Answer» SOLUTION :(a) `1.51xx10^(-18)J`, (B) `8.225xx10^(-22)J` | |
| 6818. |
In the circuit, various resistance and five batteries are connected as shown in the figure. If point O is earthed, |
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Answer» the current in the battery marked as A is`1//2 A` . From circuit diagram it is clear `I_1 = (15-5)/6 = 2A, I_2 = (15-10)/2 = 2.5A` Taking BRANCH xM `15 + 2I_3 - 15 = 10 or I_3 = 5A` Taking branch N O `5+5-5I_4 = 0 or I_4 = 2A` In junction `x: I_3 = I_1 + I_2 + I_A` `5 = 2+ 2.5 = I_A or I_A = 1/2 A` In junctionB: ` I_1 + I_A = I_4 + I_B` or `2.0 + 0.5 = 2 + I_(B) or I_(B) = 1/2 A`. |
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| 6819. |
Young's double slit experiment is made in a liquid . The 10th bright fringe in liquid lies where 6th dark fringe lies in vacuum. The refractive index of the liquid is approximately . |
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Answer» Solution :FRINGE width `beta = (lambda D)/(d)`. When the apparatus is IMMERSED in a LIQUID,`lambda ` and hence `beta `is REDUCED`mu`(refractive index) TIMES. `10 beta . = (5.5) beta or 10 lambda. ((D)/(d)) =(5.5) (lambda D)/(d)` or`(lambda)/(lambda.) = (10)/(5.5) = mu or mu = 1.8` |
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| 6820. |
When an unpolarised light of intensity I_0 is incident on a polarising sheet, the intensity of the light which does not get transmitted is |
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Answer» zero `therefore` Intensity of light which does not get transmitted `=I_(0)-I=I_(0)-(I_(0))/(2)=(I_(0))/(2)`. |
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| 6821. |
All zeros to the right of the last nonzero digit after the decimal point are significant. B) If the number is less than one, all the zeros to the right of the decimal point but to the left of the first nonzero digit are not significant. |
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Answer» Only A is CORRECT |
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| 6822. |
Unpolarised light of intensity 32 Wm^(-2) passes through three polarisers such that the transmission axis of the last polariser is crossed with first. If the intensity of the emerging light is 3Wm^(-2), the angle between the axes of the first two polarisers is |
| Answer» Answer :C | |
| 6823. |
The displacement in Newton law corresponds to …... is electrical quantity. |
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Answer» electromagnetic force |
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| 6824. |
In a zener diode, the reverse bias voltage is 3V and width of the depletion region is 300 Å, the electric field intensity will be ……., (V)/(cm). |
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Answer» `10^(4)` `E=(V)/(d)` `=(3)/(3XX10^(-8))=10^(+8)(V)/(m) therefore E=10^(6)(V)/(cm)` |
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| 6825. |
The Churun river is a tributary of |
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Answer» Ganga |
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| 6827. |
A motor vehicle travelled the first third of a distance s at a speed of V_(1)=10 kmph,the second third at a speed of V_(2)=20 kmph and the last third at a sped of V_(3)=60 kmph. Determine the mean speed of the vehicle over the entire distance s. |
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Answer» 15 kmph |
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| 6828. |
In a meter bridge 30 Omegaresistance is connected in the left gap and a pair of resistance 20 Omegaand Q in (Ohm) are in right gap and they are connected in series, then the balanceing length is 50 cm. When they were connected in parallel the balanceing length will be |
| Answer» Answer :D | |
| 6829. |
What are the two most important properties of charge ? |
| Answer» SOLUTION :CHARGE in quantized and CONSERVED. | |
| 6830. |
The maximum number of possible interference maxima for slit separation equal to twice the wavelength in Young's double slit experiment |
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Answer» infinite |
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| 6831. |
What happens to the pressure, P, of an ideal gas if the temperature is increased by a factor of 2 and the volume is increased by a factor of 8 ? |
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Answer» P DECREASES by a factor of 16 `P'=(nRT')/(V')=(NR(2T))/(8V)=(1)/(4)(nRT)/(V)=(1)/(4)P` |
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| 6832. |
What we call the ratioof the angular dispersion between two colors to the deviation caused by the mean colors ? |
| Answer» SOLUTION :DISPERSIVE POWER | |
| 6833. |
(a)Derive the expression for the torque on a rectangular current carrying loop suspended in a uniform magnetic field. (b)A proton and a deuteron having equal momenta enter in a a region of a uniform magnetic field at right angle to the direction of a the field.Depict their trajectories in the field. OR (a)A small compass needle of magnetic moment m is free to turn about an axis perpendicular to the direction of unifrom magnetic field B.The moment of inertia of the needle about the axis is I.The needle is slightly disturbed form its stable position and then released.Prove that it executes simple harmonic motion.Hence deduce the expression for its time period. (b) A compass needle, free to turn in a vertical plane orients inself with its axis vertical at a certain place on the earth.Find out the values of (i)horizontal component of earth's magnetic field and (ii) angle of dip at the place. |
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Answer» Solution :Where `theta=` angle between velocity of particle and magnetic FIELD `=90^(@)` So,Lorentz force, `F=BqV` Thus the particles will move in circular path. `Bqupsilon=(mV^(2))/r rArrr=(mV)/(Bq)` Let `m_(p)=` mass of proton `m_(d)=` mass of deuteron, `V_(p)=` velocity of proton and `V_(d)=`velocity of deuteron.The CHARGE of proton and deuteron are equal. Given that `m_(p)V_(p)=m_(d)V_(d)` `r_(p)=(m_(p)upsilon_(p))/(Bq)`...(i) `r_(d)=(m_(d)upsilon_(d))/(Bq)`...(ii) As (i) and (ii) are equal so `r_(p)=r_(d)=r` Thus, the trajectory of both the particles will be same. OR (b)(i)As Horizontal component of earth's magnetic field `B_(H)=Bcos delta` Putting `=delta=90^(@) therefore B_(H)=0` (ii)For a compass NEEDLE align vertical at a certain place, angle of DIP , `delta=90^(@)` |
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| 6834. |
A place where the vertical component of Earth's magnetic field is zero has the angle of dip equal to ......... |
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Answer» `0^@` `THEREFORE tan phi = (0)/(B_h)` `therefore tan phi = 0` `therefore phi = tan^(-1) (0)` `therefore phi=0^@` |
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| 6835. |
Which of the following is a ratinal number? |
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Answer» `PI` |
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| 6836. |
For L-R circuit, the time constant is equal to |
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Answer» twice the RATIO of the ENERGY strored in the magnetic FIELD to the rate of dissipation of energy in the resistance |
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| 6837. |
Two parallel plate capacitors X and Y have the same area of plates and same separation between them. X has air between the plates while Y contains a dielectric medium of εr= 4.(i) Calculate capacitance of each capacitor if equivalent capacitance of the combination is 4 μF.(ii) Calculate the potential difference between the plates ofX and Y.(iii) Estimate the ratio of electrostaticenergy stored in X and Y. |
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Answer» `therefore V+V/5="12 VOLT "rArr (6V)/(5)="12 volt or V=10volt"` p.d. across X=10 volt p.d. across `Y=(10)/(5)="2 volt"` ii. `("Energy stored in X")/("Energy stored in Y")=(1/2 C(10)^(2))/(1/2 5C(2)^(2))=(100)/(20) 5:1 [therefore E=1/2 CV^(2)]`
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| 6838. |
Find the time of relaxation between collsion and free path of electrons in copper at room temperature. Given resistivity of copper=1.7xx10^(-8) Omegam, number density of electrons in copper =8.5xx10^(28) m^(-3), charge on electron=1.6xx10^(-19) C, mass of electron =9.1xx10^(-3) kg and drift velocity of free electrons=1.6xx10^(-4) ms^(-1) |
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Answer» |
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| 6839. |
A stone is dropped from a tower of height 200 m and at the same time another stone is projected vertically up at 50 m/s. The height at which they meet ? [g=10 "m/s"^2] |
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Answer» 5 m |
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| 6840. |
In an AC circuit, the reactance is equal to the resistance. What is the power Factor of the circuit ? |
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Answer» 44198 |
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| 6841. |
If binding energy per nucleon in " "_(3)^(7)Li and " "_(4)^(2)He nuclei be 5.60 MeV and 7.06 MeV respectively, then energy released in nuclear reaction " "_(3)^(7)Li+" "_(1)^(1)Hto2" "_(2)^(4)He is |
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Answer» 19.6 MeV |
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| 6842. |
9765 /14.39 = 678.59625. This quotient on rounding off to two significant figures is |
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Answer» 680 |
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| 6843. |
A parallel beam falls on solid glass sphere of radius R and refractive index mu. What is the distance of final image after refractioin from two surfaces of sphere? What is the condition for the image to be real? |
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Answer» `(R(mu-2))/(2(mu-1))` from 2ND SURFACE , `mugt2` |
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| 6844. |
Whichamongthe curvescannot possibly representelectrostatic fieldlines ? |
| Answer» SOLUTION :`9.81 xx10^(-4)` MM | |
| 6845. |
The time constant of a certain inductive coil was found to be 2.5 ms. With a resistance of 80Omegaadded in series, a new time constant of 0.5 ms was obtained. Find the inductance and resistance of the coil. |
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Answer» Solution :TIME constant , `tau_L = L/R ` For the first case , `L/R = 2.5 xxx 10^(-3) sec to (1)` For th second case , `(L)/(R+80) = 0.5 xx 10^(-3) to (2)` Divide (1) by (2) `(R+80)/( R)= (2.5)/(0.5) = 5` SOLVING we get : `R = 20 Omega ` now ,` L/R= 2.5 xx 10^(-3)` ` L = 2.5 xx 10^(-3) xx 20 = 50mH` |
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| 6846. |
(A): Primary cells can be recharged, but secondary cells can not be recharged. (R): Chemical reactions involved in secondary cells are irreversible and in primary cells are reversible. |
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Answer» Both 'A' and 'R' are true and 'R' is the CORRECT EXPLANATION of 'A' |
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| 6847. |
The electrohic iransmission of a document to a distance place by using telephone lines is known as: |
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Answer» E-mail |
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| 6848. |
In the process of nuclear fission of 1 gram uranium, the mass lost is 0.92 milligram. The efficiency of power house run by it is 10%. To obtain 400 megawatt power from the power house, how much uranium will be required per hour? (c=3xx10^8 "ms"^(-1)) |
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Answer» Solution :Power to be obtained from power house = 400 mega watt `therefore` Energy obtained per HOUR = 400 mega watt x 1hour= (`400xx10^6` watt) x 3600 second = `1.44xx10^10` joule Here only 10% of input is utilized. In order to obtain `144 XX 10^10`joule of useful energy, the output energy from the power house `(10E)/100=144xx10^10` J, E=`1.44xx10^11`joule Let, this energy is obtained from a mass-loss of `Deltam` kg. Then `(Deltam)c^2=144xx10^11` joule `Deltam=(144xx10^11)/(3xx10^8)^2=16xx10^(-5)` kg = 0.16 gm Since 0.92 milli gram (= `0.92xx10^(-3)` gm)mass is LOST in 1 gm URANIUM , hence for a mass loss of 0.16 gm, the uranium required is `=(1xx0.16)/(0.92xx10^(-3))` = 174 gm Thus to run the power house, 174 gm uranium is required per hour. |
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| 6849. |
(A) For the scattering of a.-particles at a large angles. only the nucleus of the atom is responsible. (R) : Nucleus is very heavy in comparison to electrons. |
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Answer» Both 'A' and 'R' are TRUE and 'R' is the CORRECT explanation of 'A'. |
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| 6850. |
What is the height of the highest waterfall? |
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Answer» 980m |
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