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5601.

Consider the situtaion shown in figure. Find distance of image of O from eye E.

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Solution :Shift by (1), `t_(1)(1-1//mu_(1))=3(1-2//3)=1cm`
Shift by (2), `t_(2)(1-1//mu_(2))=4(1-4)=3cm`
Shift by (3), `t_(3)(1-1//mu_(3))=6(1-1//3)=4 cm`
IMAGE of O is formed at I.
OI=8 cm `rArrEO=6+6+1+4+1+3+6=27 cm`
EI=EO-OI=27-8=19 cm
5602.

Which of the four resistances P,Q,R and S generate the greatest amount of heat when a current flows from A to B ?

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Q
S
P
R

Answer :B
5603.

The electric field intensity produced by the radiations coming from 100 W bulb at a 3 m distance is E. The electric field intensity produced by the radiations coming from 50 W bulb at the same distance is:(a) (E )/(2) (b) 2E (c) (E )/(sqrt(2)) (d) sqrt(2)E

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<P>`(E )/(2)`
2E
`(E )/(sqrt(2))`
`sqrt(2)E`

Solution :Electric power `P=(E^(2))/(R )`
`THEREFORE P PROP E^(2)`
`therefore (P_(2))/(P_(1))=((E_(2))/(E_(1)))^(2)`
`(50)/(100)=((E_(2))/(E ))^(2)`
`((1)/(2))^(1//2)=(E_(2))/(E )`
`therefore E_(2)=(E )/(sqrt(2))`
5604.

In the network shown, the connector of mass m, length l and negligible resistance can smoothly side along two fixed parallel rails. The capacitor is initially uncharged and ET a uniform magnetic field B exists in the region directed into the plane of paper. If the switch S is closed at t=0 then the charge on the capacitor after long time is

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`(mcepsilon)/(2(B^2l^2c+m))`
`(mcepsilon)/((B^2l^2c+m))`
`(2mcepsilon)/((B^2l^2c+m))`
`(3mcepsilon)/(2(B^2l^2c+m))`

ANSWER :B
5605.

In telescope, ratio of resolving power due to light of lambda. = 4000Å and lambda = 6000Å is ......

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`4:5`
`3:2`
`2:3`
`5:4`

SOLUTION :In formula of resolving POWER of telescope
`=(D)/(1.22 lambda)` D and 1.22 are constant.
`:.` Resolution power `prop (1)/(lambda)`
`:.` Ration `=(lambda_(2))/(lambda_(1))=(6000)/(4000)=(3)/(2)`
5606.

Phase of SHM .

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Solution :Phase of simple HARMONIC motion REPRESENT the state of oscillation of the particle peforming simple harmonic motion (SHM), i.e.,it gives the displacement of the particle and its directionof motion from the equlibriumposition.
The displacement of a particle in SHM is given by ` x=A sin ( OMEGA t+ alpha)` . The angle `(omegat+alpha)` is called the phase angle or simply the phase of SHM.
5607.

Statement-1: It takes more fuel for a spacecraft to travel from the earth to moon than for the return trip. Statement-2: Potential energy of spacecraft at moon's surface is greater than that at earth surface.

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Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.
Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.
Statement-1 is true, statement-2 is false.
Statement -1 is false, statement -2 is true.

Solution :Here both the statements are correct and II is CORRECTLY EXPLAINING one. This can be easily proved by writing the basic EQUATIONS.
5608.

The velocity of particle is v=v_0 +gt+ft^(2) if its position is x =0 at t=0, then its displacement after unit time is:

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`v_0 +g//2+f//3`
`v_0` +g+f
`v_0`+g/2+f
`v_0` +2g+3f

Solution :Here `v=v_0`+gt+`ft^(2)`
or `(dx)/(dt)=v_0`+gt+`ft^(2)`
`dx=v_0dt`+ gt dt+`ft^2` dt
`int_(0)^(x) dx=v_(0)int_(0)^(1)dt+gin_(0)^(1)t dt +f int_(0)^(1) t^(2) dt`
`=v_0 +(g)/(2)+(f)/(3)`
5609.

The magnetic field at a distance at a distance 2 cm from a magnetic pole is 2 xx 10^(-4) tesla. The pole strength of the pole (in A - m) is

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8
1.8
0.005
0.8

Answer :D
5610.

Q amount of electric charge is present on thesurface of a sphere having radius R. Calculate the total energy of the system.

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`(kQ^(2))/(R)`
`(1)/(2) (kQ^(2))/(R)`
`(kQ^(2))/(R^(2))`
`(1)/(2) (kQ^(2))/(R^(2))`

SOLUTION :When there is no CHARGE on the sphere `V_((0))` =0 and Q charge on sphere electric potential `V_((Q))= (kQ)/(R)`
`:.` AVERAGE electric potential V
`= (V_(0)+V_(Q))/(2) = (kQ)/(2R)`
`:.` Potential energy `U = VQ = (kQ^(2))/(2R)`
5611.

लीडिग कोशिकाओं का पाया जाना तथा उनसे निकलने वाले पदार्थ क्रमश: होते हैं:

Answer»

अग्नाशय एंव ग्लुकेगॉन
यकृत एंव कोलेस्ट्रॉल
वृषण एंव टेस्टोस्टेरॉन
अण्डाशय एंव एस्ट्रोजन

Answer :C
5612.

Consider sunlight incident on a pinhole of widht 10^(3)Å. The image of the pinhole seen on a screen shall be

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a sharp white ring.
different from a geometrical image
a diffused central SPOT, white in colour.
diffused COLOURED region around a sharp central white spot.

Solution :Average wavelength of visible light in Sunlight is `lamda=6000Å` and here width of slit is `d=1000Å`
`(lamda)/(d)=(6000)/(1000)=6implies(lamda)/(d)gtgtgtgt1`
Amount of diffraction would be very large. HENCE image would appear different than geometrical image. Thus option (B) is correct.
In the present case, at the central point on the screen, constituent colours of white light superpose with equal proportion and produce constructive interference to give white coloured spot at the central position. But as we MOVE away from centre, on the successive rings, constructive interference takes place for different colours (in the order from blue to red) and so different colours are dominant in different rings (with very small amounts for remaining colours). Thus, region around central white spot appears to be colourful in which as the order of MAXIMUM increases, intensity of light goes on decreasing. It means this region diffuses as we move away from centre. Thus, option (D) is also correct.
5613.

Two capacitors of capacity 4 muF and 6 mu F are connected in series and a battery is connected to the combination. The energy stored is E_1 If they are connected in parallel and if the same battery is connected to this combination the energy stored is E_2The ratio E_1 :E_2 is

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`4:9`
`9:14`
`6:25`
`7:12`

ANSWER :C
5614.

A beaker of height H is made up of a material whose coefficient of linear thermal expansion is 3alpha. It is filled up to the brim by a liquid whose coefficient of volume expansion is 3alpha. If now the beaker along with its contents is uniformly heated through a small temperature T, the level of liquid will reduced by ("Given, " alphaT ltlt 1)

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`alphaTH`
`3alphaTH`
`9alphaTH`
`6alphaTH`

ANSWER :B
5615.

Define magnetic field.

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Solution :The magnetic field `VEC(B)` at a point is defined as a force e`xx`perienced by the bar magnet of unit pole strength.
`vec(B) = (1)/(q_(m)) vec(F) ` Its unit is `N A^(-1) m^(-1)`
5616.

Show that the force on each plate of a parallel plate capacitor has a magnitude equal to (½) QE, where Q is the charge on the capacitor, and E is the magnitude of electric Held between the plates. Explain the origin of the factor 1//2

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Solution :Let area of plate is A and surface charge DENSITY is `SIGMA` .
Charge on capacitor q = `sigma`A and electric field `E= (sigma)/(in_(0))`
The work done for increasing the distance `Delta`x between two plates of capacitor opposite to the force,
W = `FDeltax `
If `rho_(E)` is the energy density of capacitor then potential energy of capacitor = density `xx` INCREASE in VOLUME
`F.Deltax = rho_(E)xxA Deltax`
`:. F = rho_(E) xxA `
`:. F = (1)/(2) in_(0) E^(2) A [ because rho_(E)= (2) in_(0)E^(2)]`
`=(1)/(2) in_(0)ExxEA`
`=(1)/(2) sigmaA xxE [because E = (sigma)/(in_(0))implies sigma = E in_(0)]`
`:. F = (1)/(2) qE [ because sigma = (q)/(A) implies q = sigma A ]`
The physical origin of the factor `(1)/(2)` in the force formula lies because just outside the conductor,field is E and inside it is zero. Hence, it is the average value `(E)/(2)` of the field that CONTRIBUTE to the force.
5617.

1 ohm resistance is in series with an Ammeter which is balanced by 75cm of potentiometer wire. A standard cell of 1.02V is balanced by 50cm. The Ammeter shows a reading of 1.5A.The error in the Ammeter reading is

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`0.002 A`
`0.03 A`
`1.01 A`
no ERROR

ANSWER :B
5618.

Energy of a charged capacitor is U. Now it is. removed from the battery and then it is connected to another uncharged capacitor having the capacitance twice the first one In parallel. The energy of first and second capacitors respectively is ......

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`(1)/(9) U, (1)/(9)` U
`(2)/(9) U, (1)/(9) U`
`(1)/(9) U, (2)/(9) U`
`(2)/(9) U, (2)/(9)` U

Solution :By connecting TWO capacitors in parallel, charge on one capacitor is `(Q)/(3)` and on SECOND capacitor is `(2Q)/(3)`.
`U (Q^(2))/(2C)`
`U_(1)=(((Q)/(3))^(2))/(2C)=(Q^(2))/(9xx2C)=(U)/(9)`
`U_(2)=(((2Q)/(3))^(2))/(2xx2C)=(4Q^(2))/(9xx2xx2C) = (2U)/(9)`
5619.

"The most incomprehensible thing about the world is that it is comprehensible." Who made these remarks?

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Newton
Maxwell
Einstein
Raman

Answer :C
5620.

(a) How is an electromagnet different from a permanent magnet? (b) Write two properties of a material which make it suitable for making electromagnets.

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SOLUTION :(b) A MATERIAL is SUITABLE for MAKING electromagnets if its relative permeability is high but retentivity and coercivity both are SMALL.
5621.

A glass sphere (mu = 1.5) of radius 20cm has a small air bubble 4 cm below its centre. The sphere is viewed from outside and along a vertical line through the bubble. The apparent depth of the bubble below the surface of sphere is (in cm)

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13.33
26.67
15
30

Answer :B
5622.

Draw a labelled diagram of a moving coil galvanometer. Describe briefly its principle and working.

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SOLUTION :PRINCIPLE and working : A current carrying coil, placed in a UNIFORM magnetic field, (can) experience a torque
Consider a rectangular coil for which no. of turns `=` N,
Area of cross-section `= l xx b = A`,
Intensity of the uniform magnetic field `=B`,
Current through the coil `= I`
`:.` Deflecting torque `= B I l xx b = B I A`
For N turns `tau =` NBIA
Restoring torque in the spring `= k theta`
( `k=` restoring torque per unit twist)
`:. N B I A = k theta`
`:. I = ((k)/(NBA))theta`
`:. I prop theta`
The deflection of the coil, is therefore, PROPORTIONAL to the current flowing through it.
5623.

The internal resistances of two cells shown are 0.1Omega and 0.3Omega. If R=0.2Omega, the potential difference across the

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cell B will be zero and A will be less than 2V.
cell A will be zero and B will be GREATER than 2 V.cells A and B will be 2 V.

Answer :cell A will be>2V and B will be <2V.
5624.

Give some examples of paramagnetic substance.

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SOLUTION :ALUMINIUM, SODIUM, Calcium, Oxygen (at STP) and Copper chloride
5625.

A solid sphere of radius 'R' has a cavity of radius (R)/(2). The solid part has a uniform charge density 'rho' and cavity has no charge. Find the electric potential at point 'A'. Also find the electric field (only magnetude) at point 'C' inside the cavity

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ANSWER :`V_(A)=(5 rhoR^(2))/(12 epsilon_(0)),E_(C)=(rhoR)/(6 epsilon_(0))`
5626.

Short wave propagation of radio waves consists of freqeuncies which are reflected by ionosphere. Some important technical terms are defined related to the free electron density N of layers and the frequencies v to be reflected are mentioned in Column-I. They are related to frequency v and free electron density N as shown in Column-II

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A - 1 , B -2 , C - 3 , D - 4
A -2 , B - 3 , C -4, D - 1
A -3 , B -4 , C - 1 , D - 2
A - 4 , B - 1 , C - 2 , D - 3

Answer :B
5627.

For making standard resistance, wire of following materials is used

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NICHROME
COPPER
SILVER
manganin

Answer :D
5628.

Which of the following statement is correct about the scalar quantity ?

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A SCALAR quantity is always conserved in a process.
A scalar cannot take a negative value
A scalar NEVER varies from point to point in space.
A scalar has the same value for OBSERVERS with DIFFERENT orientations of the axes

Solution :A scalar quantity has the same constant value for even observers with various orientations of the axes. Hence (d) is the correct CHOICE.
5629.

In the word of Hyugens "Light propagates aslongitudinal waves" comment on the abovestatement.

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SOLUTION :LIGHT WAVES can not be longitudinal as it EXHIBIT POLARISATION.
5630.

In the figure shown an infinitely long wire carries a current I_(1) and another uniform rigid wire ACB (bent at C at right angle) of mass m carries a current I_(2).It is hinged at corner C.Find the angular acceleration of this wire ACB just after release.Is the direction of rotation clockwise or anticlockwise.(Assume gravity is absent) [Take ln^(2)=~0.7]

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Solution :Torque on element `dx` of current carrying WIRE `AC` about `C` is
`dtau=(DF).(2L-x)` in clockwise sense.
`dF=(I_(2)dx)mu_(0)/(2pi) I_(1)/x`
`therefore` Net torqeu on wire `AC` about `C` is
`tau_(1)UNDERSET(L)overset(2L)int(mu_(0))/(2pi)(I_(1)I_(2)(2L-x))/xdx=(mu_(0))/(2pi)I_(1)I_(2)L(ln 4-1)`
`=(0.4mu_(0)I_(1)I_(2)L)/(2pi)`(clockwise direction)
Magnetic field at each point on segment `BC` due to infinite wire is uniform.
`therefore` Net torque or wire `BC` about `C` is
`tau_(2)=(mu_(0)/(2pi)I_(1)/(2L))I_(2) LxxL/2=mu_(0)/(8pi)I_(1)I_(2)L`(anticlockwise direction)
`because tau_(1) gt tau_(2) rArr "net torque" tau=tau_(1)-tau_(2)=mu_(0)/(8pi)(0.6)I_(1)I_(2)L`(clockwise direction)
moment of inertia of `L` shaped rod about `C` is `I=(mL^(2))/3`
angular ACCELERATION `alpha=tau/I=(0.6mu_(0)I_(1)I_(2)L)/(8pi)xx3/(mL^(2))=(9mu_(0)I_(1)I_(2))/(40pimL)`
5631.

The half-life of a radioactive substance is 100 years, Calculate in how many years the activity will decay to 1/10th of its initial value.

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332.3 years
232.3 years
432.3 years
532.3 years

Answer :A
5632.

The equation of two progressive waves are y^1 = 8sin(200pit - x/8 + pi) and y^2 = 6 sin( 200pit -x/8) cm. if two waves superpose at a point , the resultant amplitude is

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14 CM.
10 cm.
2 cm.
between 14 cm and 2 cm.

Answer :C
5633.

A : Light added to light can produce darkness. R : The destructive interference of two coherent light sources may give dark fringe.

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Both A and R are TRUE and R is the CORRECT explanation of A
Both A and R are true and R is not the correct explanation of A
A is true and R is false
Both A and R are false

Answer :A
5634.

An images of bright square is obtained on a screen with the aid of a convergent lens. The distance between the square and the lens is 40 cm. The area of the image is nine larger than that of the square. Select the correct statement(s):

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image is formed at a distance of 120 cm from lens
image is formed at a distance of 360 form thelens
focal length of the lens is 30 cm
focal length of the lens is 36 cm

Answer :A::C
5635.

Two charges 4q and q are fixed at points (0,9) and (12, 0) respectively on the X-Y plane. Find the coordinates of the point where the electric field strength is zero.

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ANSWER :(8, 3)
5636.

Three unequal resistor in parallel are equivalent to a resistance 1Omega If two of them are in the ratio 1:2and if no resistance value is fractional the largest of the three resistance in ohm is

Answer»

4
6
8
12

Answer :B
5637.

According to Einstein's photo electric equation , the graph between the K.E. of photo electrons ejected and the frequency of incident radiation is

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ANSWER :B
5638.

A man standing in a lift holds a spring balance with a load of 5 kg suspended from it. What would be the reading of the balance when the lift is descending with an acceleration of 4ms^(-2) ?

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1 kg
2 kg
3 kg
4 kg.

Answer :C
5639.

Who offered shelter to the Peddler?

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A BEGGAR
A friend
A milkman
An OLD Crofter

Answer :D
5640.

Statement - I: The absorbtance of a perfact black body is unity. Statement - II : A perfect black body when heated emits radiations of all possible wavelength at that temperature.

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Statement - I is true, Statement - II is true and Statement - I is correct explanation for Statement - II.
Statement - I is true, Statement - II is true and Statement - II is not correct explanation of Statement - I.
Statement - I is true, Statement - II is FALSE.
Statement - I is false, Statement - II is false.

Solution :Statement I is true and statement II is true but statement 2 is not correct EXPLAINATION of statement i.
So correct CHOICE is (B).
5641.

The electric field due to an electric dipole. At large distance ® from it, falls of as ___________

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ANSWER :`(1)/(R^(3))`
5642.

A capacitor of capacitance 8 muF is connected across a 200 V power supply. The energy gained by the capacitor is ___________ .

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Solution :`0.16 J, u = 1/2 CV^2= 1/2 xx (8 xx 10^(-6)) xx (200)^2 =0.16J`
5643.

Using Bohr's postulates, obtain the expressions for (i) kinetic energy and (ii) potential energy of the electron in stationary state of hydrogen atom. Draw the energy level diagram showing how the transitions between energy levels result in the appearance of Lymann Series.

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Solution :This series is produced when ELECTRON jumps from higher orbits to the first STATIONARY orbit (i.e., `n_(F) =1`).Thus, for this series.
`bar(v) =(1)/(lambda)=R((1)/(l^(2)) -(1)/(n_(i)^(2)))`
`therefore " where"n_(i)=2, 3, 4, 5...`
For the longest wavelength of Lyman Series `n_(i)=2.`
5644.

Coercivity of a magnet where the ferromagnet gets completely demagnetized is 3 xx 10^(3) A m^(-1), The minimum current required to be passed in a solenoid having 1000 turns per metre, so that the magnet gets completely demagnetized when placed inside the solenoid is

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3A
30mA
6A
60mA

Solution :`3A `
5645.

A narrow beam of thermal neutrons passes through a plate of iron whose absorption and scattering effective cross-sections are equal to sigma_(a)= 2.5 b and sigma_(s)=11 b respectively. Find the fraction of neutrons quitting the beam due to scattering if the thickness of the plate is d= 0.50 cm.

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Solution :In traversing a distance `d` the fraction which is either SCATTERED or absorbed is clearly
`1-e^(-n(sigma_(s)+sigma_(a))d)`
by the usual definition of the attenuation factor. Of this, the fraction scattered is (by defination of scattering and ABSORPTION cross SECTION)
`w={1-e^(-n(sigma_(s)+sigma_(a))d)} (sigma_(s))/(sigma_(s)+sigma_(a))`
In iron `n=(rhoxxN_(A))/(M)=8.3xx10^(22)per c c`
Substitution GIVES `w=0.352`
5646.

Ozone layer blocks the radiations of wave length

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LESS than`3XX10^(-7)` m
EQUAL to `3xx10^(-7)` m
more than `3xx10^(-7)` m
all of these

ANSWER :A
5647.

A polaroid (I) is placed in front ofmonochromatic source. Another polaroid(II) is placed in front of this polaroid (I) and rotated till no light passes. A third polaroid(III) is now placed in between (I) and (II). In this case, will light emerge from (II)? Explain.

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Solution :(i) Only in the special cases when the pass axis of (III) is parallel to (I) or (II) there shall be no light EMERGING. (ii) In all other cases there shall be light emerging because the pass axis of (II) is no LONGER perpendicular to the pass axis of (III).
5648.

(A) : The microwaves are better carriers of signals than radio waves. (R) : The electromagnetic waves do not require any medium for propagation.

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Both 'A' and 'R' are true and 'R' is the CORRECT EXPLANATION of 'A'.
Both 'A' and ’R' are true and 'R' is not the correct explanation of 'A
A' is true and 'R' is false
'A' is false and R' is true

Answer :B
5649.

Stae how the Balmer Series of spectral lines are generated ?

Answer»

Solution :The BALMAR series CONSISTS of all those wavelengths which are limited when electron JUMPS at orbit `n = 2 ,1/lambda = R(1/n_1^2 - 1/n_2^2)`.
5650.

A ball dropped from a point P crosses a point Q in t seconds. The time taken by it to travel from Q to R, if PQ = QR.

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`t`
`SQRT(2) t`
`2T`
`(sqrt(2) - 1) t`

ANSWER :D