Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charge densities of opposite signs and of magnitude 17.0xx10^(-22) C//m^(2). What is E : in the outer region of the first plate,

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SOLUTION :`10MU C//m`
2.

A ball is projected vertically upward with an initial velocity. Which of the following graphs best represents the K.E. of the ball as a function of time from the instant of projection till it reaches the point of projection :

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ANSWER :C
3.

Which of the following has same dimension as that of planck's constant?

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Force
Energy
Linear momentum
Angular momentum

Solution :Energy E=hv
`therefore H=(E )/(v)`
`therefore [h]=([E])/([v])=([M^(1)L^(2)T^(-2)])/([M^(0)L^(0)T^(-1)])=[M^(1)L^(2)T^(-1)]`
4.

In Young's double-slit experiment, coordinate system is selected in such a manner that Y-coordinate of central maximum is 1cm and the same for 9^(th) maximum is 9 cm. If the entire set-up is immersed in a fluid with refractive index 4/3, then what will be new Y-coordinates of central maximum and 9^(th) maximum?

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1 CM , 9 cm
3/4 cm, 27/4 cm
4/3 cm , 7 cm
1 cm , 7 cm

Solution :We KNOW that central MAXIMUM will remain 1 cm.
Further we know that wavelength becomes `lambda//MU` on immersing in liquid and hence fringe width will also be divided by `mu` because fringe width is proportional to `lambda`. Similarly DISTANCE between `9^(th)` maximum and central maximum which is 8 cm will also be divided by `mu`.
Hence new Y-coordinate of `9^(th)` maximum can be written as follows:
`Y = 1 + (9 -1)/(4//3) = 7 cm`.
5.

What is ozone hole

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HOLE in the OZONE LAYER
Formation of ozone layer
Thinning of ozone layer in troposphere
Reduction in ozone THICKNESS in stratosphere.

Solution :Ozone hole is deplection of ozone layer in strato- sphere because of gases like CFC.S ETC.
6.

A cell of e.m.f E is connected to a resistance R_1 for time i and the amount of heat generated in it is H. If the resistance R_1 is replaced by another resistance R_2 and is connected to the cell for the same time i, the amount of heat generated in R_2 is 4H. Then the internal resistance of the cell is

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`(2R_1 +R_2)/(2)`
`sqrt(R_1 R_2) (2 sqrt( R_2)- sqrt(R_1))/(sqrt(R_2) -2 sqrt(R_1))`
`sqrt(R_1 R_2) ( sqrt(R_2 )- 2sqrt(R_1))/( 2sqrt(R_2) - sqrt(R_1))`
`sqrt(R_1 R_2) ( sqrt(R_2 )- 2sqrt(R_1))/( 2sqrt(R_2) +sqrt(R_1))`

Solution :Let r be internal resistance of the cell. For the first case, the amount of heat R GENERATED in resistance `R_1` in a time t is
` H=(E^2 R_1)/( (R_1 +r ^2 ) t`


`orE^2=(H (R_1+r)^2)/(R-1 t)`
forsecondcaethe amountof heatgeneratedin `R_2`in thesametime t is
` 4 H = (E^2R_2 t)/( (R_2 +r)^2 )orE^2 =(4 H( R_2 +r)^2)/( R_2 t)`
EQUATING(i) and (ii ) we GET
` (H (R_1+r)^2)/( r_1 t) =(4 H( R_2+r)^2)/(R_2 t)`
`((R_1 +r)^2)/( R_1) =(4 (R_2 +r)^2 )/( R_2)or((R_1 +r))/(sqrt(R_1)) = (2 (R_2 +r))/(sqrt(R_2))`
`impliessqrt(R_2) (R_1 +r) = 2 sqrt(R_1) (R_2 +r)`
` impliessqrt(R_2) R_1 + sqrt(R_2 ) r = 2 sqrt(R_1) R_2 + 2 sqrt( R_1)r`
`IMPLIES sqrt(R_2 ) r-2sqrt(R_1 ) r=2 sqrt(R_1)R_2- sqrt(R_2)R_1`
`impliesr ( sqrt(R_2) - 2 sqrt(R_1))= sqrt(R_1 R_2 )[ 2 sqrt(R_2 )- sqrt(R_1)]`
`impliesr= sqrt(R_1 R_2) ( 2 sqrt(R_2)- sqrt( R_1))/( sqrt(R_2)-2 sqrt(R_1))`
7.

Are Kirchhoff's rules applicable to both a.c. and d.c. ?

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Solution :YES, KIRCHHOFF's rule are equally APPLICABLE to a.c. as well as d.c. CIRCUITS.
8.

Demonstrate that at the boundary between two media the normal components of the Poynting vector are continuous, i.e. S_(1n) = S_(1n).

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Solution :Let `oversetrarr(N)` be along the `z` axis. Then
`S_(In) = E_(1x) H_(1Y)-E_(1y)H_(1x)`
and `S_(2n) = E_(2X)H_(2y) - E_(2y)H_(2x)`
Using the bounadary condition `E_(1t) = E_(2T), H_(1t) H_(2t)` at the BOUNDARY `(t = x` or `y `) we see that
`S_(1n) = S_(2n)`.
9.

The image of point 'P' when viewed from top of the slabs will be

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<P>2 CM above P
1.5 cm above P
2 cm below P
1 cm above P

Answer :D
10.

(A) :Television signals are propagated through space waves. (R) : Television signals have frequency in the 100-200 MHz range.

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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' ISNOT the correct explanation of 'A'.
A' is true ABD 'R' false
A' is false and 'R' is false

ANSWER :A
11.

What we call to any material in which electric current flow fairly well are called ?

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SOLUTION :RESISTOR
12.

A TV transmission tower has a height of 240 m. Signals broadcast from this tower will be received by LOS communication at a distance of (assume the radius of earth to be 6.4 xx 10 ^(6) m)

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100km
110km
55km
120km

Solution :Here, `h=240m,R=64xx10^(6)m`
The maximum DISTANCE on EARTH from the transmitter UPTO which a signal can be recived is
`d=sqrt(2Rh)=sqrt(2xx(6.4xx10^(6))xx240)`
`=55.4xx10^(3)m=55.4km`
13.

Two coils of self-inductance 1H and 3H are connected in series to support each other. Their mutual inductance is 6H. What is the self-inductance of the combination?

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10H
16H
26H
40H

Answer :B
14.

The capacitors shown in the circuit have capacitance C_(1) = C and C_(2) = 3C and they have been charged to potenitals V_(1) = 2V_(0) and V_(2) = 3V_(0) respectively. Switch S is closed to connect them to the inductor L. (a) Find the maximum current through the inductor (b) Find potential difference across C_(1) and C_(2) when the current in the inductor is maximum.

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Answer :(a) `(5V_(0))/(2) sqrt((3C)/(L))` (B) `(7V_(0))/(4),(7V_(0))/(4)`
15.

Choose the odd one: (a) Photo cells are used for reproduction of sound in motion picture. (b) Photo cells used as timers to measure the speeds of athletes during a race. ( c ) Photo cell converts light energy into thermal energy. (d) Photo cells used to measure the intercity of the light in photography.

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ANSWER :C
16.

Two particles A_(1) and A_(2) masses m_(1),m_(2)(m_(1)gtm_(2)) have the same de-Broglie wavelegth .Then

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their MOMENTA are the same
their energies are the same
energy of `A_(1)` is less the energy of `A_(2)`
energy of `A_(1)` is more than the energy of `A_(2)`

Solution :ACCORDING to formula `p=(h)/(lambda)`,since here `lambda` is same,p also WOULD be same.Hence ,option (A) is correct.
Energy of a particle ,`E=(p^(2))/(2m)impliesEprop(1)/(m)`
(`because` p is same )
`impliesE_(1)ltE_(2)(because m_(1)gtm_(2))`
`impliesE_(A_(1))ltE_(A_(2))`
17.

The figure shows XY separating two transparent media, medium-1 and medium-2. The lenes ab and cd represent wavefronts of a light wave travelling in medium-1 and incident on XY. The lines rf and gh represent wavefronts of the light wave in medium-2 after refraction. The phases of the light wave at c,d,e and f are phi_(c),phi_(d),phi_(e) and phi_(f) respectively. It is given that phi_(c)=phi_(f) :

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`phi_(C)` cannot be equal to `phi_(d)`
`phi_(d)` cannot be equal to `phi_(E)`
`(phi_(d)-phi_(f))` is equal to `(phi_(c)-phi_(e))`
`(phi_(d)-phi_(c))` is equal to `(phi_(f)-phi_(e))`

SOLUTION :`c` and `d` are at same wavefronts
So, `phi_(c)=phi_(d)`
and `phi_(e)=phi_(f)`
`therefore phi_(d)-phi_(f)=phi_(c)-phi_(f)`
`D` is incorrect
`phi_(d)-phi_(c)=0`
`phi_(f)-phi_(e)=0`
So both should be equal.
18.

ln a certain region, the electric potential is given by the formula V (x, y, z) = 2x^(2)y + 3y^(3)z - 4z^(4)x. Find the components of electric field and the vector electric field at point (1, 1, 1) in this field.

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Solution :V(x,y,Z) = `2x^(2) y + 3y^(3)y+3y^(3)z -4z^(4)x`
`:. E_(x)=- (delV)/(delx)`
`=- (del)/(delx)(2x^(2)y + 3y^(3)z - 4z^(4)x)`
`:. E_(x) = -(4xy+0-4z^(4))`
Putting x =1 , y =1 , z=1
`E_(x) = -(4-4) `
`E_(x) = 0` and `E_(y) =-(delV)/(dely)`
`=- (del)/(dely) ( 2x^(2)y+3y^(3) z-4z^(4)x)`
`:. E_(y) =- (2x^(2)+9y^(2)z-0)`
`:. E_(y) = -(2x^(2)+9y^(2)z)`
Putting x =1 , y =1 , z=1
`:. E_(y) = -(2+9) =-11 ` and `E_(z) =-(del)/(delz) (2x^(2)y+2y^(3) z-4z^(4)x)`
`= - (0+3y^(3)-16z^(3)x)`
Putting x =1 , y=1 , z=1
`E_(z) = (0+3-16) =13`
Putting the value of COMPONENTS in equation
`vecE=Exhati+Eyhatj+Ezhatk`
`=0hati-11hatj-13hatk`
`= - 11hatj +13hatk`
19.

Which group of Monera played significant role in the evolution of aerobic forms of life?

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Mycoplasma
Cyanobacteria
Archaebacteria
Actinomycetes

Answer :B
20.

The focal length of the objective and eyepiece of a telescope are 60 cm and 5 cm respectively. The telescope is focused on an object 360 cm from the objective and the final image is formed at a distance of 30 cm from the eye of the observer. Calculate the length of the telescope.

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ANSWER :0.76 CM
21.

________ can measure small current and small voltage both.

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Ammeter
Voltmeter
Galvanometer
Potentiometer

Answer :C
22.

A photon with enegry h omega = 0.15 MeV is scattered by a stationary free electron changing its wavelength by Delta lambda = 3.0 pm. Find the angle at which the compton electron moves.

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SOLUTION :Refer to the DIAGRAM. Energy momentum conservation gives
`(cancel h omega')/(c )-(cancel h omega')/(c ) cos THETA = p cos varphi`
`(h omega')/(c ) SIN theta = p sin varphi`
`homega + mc^(2) = h omega' +E`
where `E^(2) = c^(2)p^(2)+m^(2)c^(4)`.we see
`tan varphi = (omega'sin theta)/(omega-omega' cos theta) = ((1)/(lambda')sin theta)/((1)/(lambda )-(1)/(lambda')cos theta)`
`= (lambda sin theta)/(lambda'- lambda cos theta) = (sin theta)/((DELTA lambda)/(lambda)+2sin^(2)((theta)/(2)))`
where `Delta lambda = lambda' - lambda = 2pi lambda_(c) (1- cos theta) = 4pi lambda_(c) sin^(2)((theta)/(2))`
Hence `tan varphi= (2sin((theta)/(2))cos((theta)/(2)))/((Delta lambda)/(lambda)+(Delta lambda)/(2pilambda_(e)))`
But `sin theta = 2 sqrt((Delta lambda)/(4pi cancel lambda_(e)) sqrt(1-(Delta lambda)/(4pi lambda_(e))) = (Delta lambda)/(2pi cancel lambda_(e)) sqrt((4picancel lambda_(c))/(Delta lambda))-1`
Thus `tan varphi = (sqrt((4pi cancel h)/(m cDelta lambda)-1))/(1+(2picancel h)/(mc lambda)) = (sqrt((4pi cancel h)/(m cDelta lambda)-1))/(1+(cancel homega)/(mc^(2))) = 31.3^(@)`
23.

in n type semiconductor, electrons are majority charge carriers but does not show any negative charge, the reason is

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electrons are stationary
electrons neutralize with holes
mobility of electrons is extremely small
ATOM is electrically neutral.

Solution :The n - type SEMICONDUCTOR region has (negative) electrons as majority CHARGE - carriers and an equal NUMBER of fixed positively - charged DONOR ions. Again , the material as a whole is neutral . That is a reason atom is electrically neutral.
24.

A point charge .Q. is placed at a point inside the cone as shown. The flux due to the charge through the curved surface is given as (2 Q)/(3 epsilon_(0)). Now another charge .Q. is placed vertically above at the same distance from the base. The flux through the curved surface due to both charges is .

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`(Q)/(3 epsilon_(0))`
`(2Q)/(3 epsilon_(0))`
`(Q)/(epsilon_(0))`
`(2Q)/(epsilon_(0))`

ANSWER :C
25.

A ball is throwfrom the top ofa towerof 61 m high with a velocity 24.4 ms^(-1) at an elevation of 30^(@) abovethe horizon. What is the distancefrom the footof the towerto the pointwhere the ball hits the ground ?

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SOLUTION :
`h=1/2"gt"^(2) -(U sin theta)t rArr t=5` seconds
ALSO, `d=(u COS theta)t = 105.65` m
26.

Half a mole of helium is contained in a container at S.T.P. How much heat energy is needed to double the pressure of the gas, keeping the volume constant ? Heat capacity of the gas is 3J/g/K:

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1.638 J
16.38 J
163.8 J
1638 J.

Solution :Here `C_(v)=M XX C_(v) =4xx3=1` J/mole/K at constant volume
`(P_(2))/(P_(1))=(T_(2))/(T_(1))=2" or "T_(2)=2 T_(1)`
HEAT required, `Delta Q =(1)/(2) xx12xx(2T_(1)-T_(1))`
`=(1)/(2)xx12xx273=1638 J`.
`therefore` CORRECT choice is (d).
27.

A hot plate with regulated power is designed for a voltage of 220 V and has two spiral heater elements of 120 ohm and 60 ohm resistance, respectively. Devise a circuit diagram which would enable the plate to operate at three power-outputs: of 400 W, 800 W and 1200 W.

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Solution :The circuit shown in the diagram of FIG. 26.17 ENABLES any one of the THREE powers DESIRED to be obtained.
28.

When some charge is placed on a good conductor,

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it REMAINS at the same position.
it goes at the CENTROID of a conductor.
it remains at the SURFACE of a GOOD conductor.
none of above.

Solution :N/A
29.

What did Franz find on reaching the school?

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PEOPLE were dancing
school was closed
Police patrolling
strange quietness

Answer :D
30.

The device in figure is an acceleraometer which is fitted to a car. It consist of a spherical ball, mass 0.08 kg, attached to a pointer which can move horizontally against a fixed scale that gives the acceleration of the car, O indicates zero acceleration. On each side of the ball are attached identical springs, S_(1) and S_(2). that are fixed at their ends. The device is enclosed in a rigid transparent housing. The car accelerates towards A. If the car starts from rest at time t=0 and travels along a straight road. The accelerometer readings are recorded in table. {:("Time//s","Acceleration//ms^(2)"),(0.00-3.00,11.00),(3.00-4.50,7.00),(4.50-7.00,0.00):} How fast is the car traveling after 7.00 s?

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33m/s
43.5m/s
61m/s
64.5m/s

Solution :`V=11xx3+7xx1.5=33+10.5=43.05m//`
31.

Identify the nucleoside form the following.

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SOLUTION :NUCLEOSIDE is the COMBINATION of SUGAR and BASE.
32.

Demonstare that a closed system of charged non-relativistic particles with identical specific charges emits no dipole radiation.

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<P>

Solution :`P. alpha |dotoversetrarr(p)|^(2)` when
`oversetrarr(p) = SUM e_(i) oversetrarr(r_(i)) = sum (e_(i))/(m_(i))m_(i)oversetrarr(r_(i)) = (E)/(m) sum m_(i)oversetrarr(r_(i))`
if `(e_(i))/(m_(i)) = (e)/(m) =` fixed
But `(d^(2))/(DT^(2))sum m_(i)oversetrarr(r_(i)) = 0` for a closed system
Hence `P = 0`.
33.

What is a polarizer and an analyser ?

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Solution :If a SHEET (polaroid) is used to obtained UNPOLARIZED light from a PLANE polarized light, then it is CALLED a polarizer.
If the sheet (polaroid) is used to detect the POLARISED state of light, then it is called a analyser.
34.

STATEMENT 1 : Two stones are projected with different velocities from ground from same point and at same instant of time. Then these stones cannot collide in mid air. (Neglect air friction) STATEMENT 2 : If relative acceleration of two particles initially at same position is always zero, then the distance between the particle either remains constant or increases continuously wiht time.

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Statement-1 is TRUE, Statement-2 is True, Statement-2 is a CORRECT EXPLANATION for Statement-1.
Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1.
Statement-1 is True, Statement-2 is FALSE.
Statement-1 is False, Statement-2 is True.

Answer :A
35.

Calculate the refractive index of the material of the lens using the following data.

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SOLUTION :GIVEN,` R_(1) = 0.2m` and `R_(2) = 0.2m`
`f= ( D^(2) - S^(2))/( 4D)`
`f= ( D^(2) - S^(2))/( 4D) = ( 0.85^(2) - 0.206^(2))/(4 xx 0.85) = 0.2m`
`f = ( D^(2) - S^(2))/(4D) = (0.9^(2) - 0.3^(2))/(4 xx 0.9) = 0.2 m`
`f_(av) =0.2m`
`n = 1+ (1)/(f) (( R_(1)R_(2)))/((R_(1)+R_(2)))`
`n = 1+ ( 1)/( 0.2) ((0.2 xx 0.2))/((0.2+0.2))`
n = 0.5
36.

A coil of area 0.04 m^(2) having 1000 turns is suspended perpendicular to a magnetic field of 5.0 xx 10^(-5) Wb m^(2). It is rotated through 90^(@) in 0.2 second. Calculate the average emf induced in it.

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ANSWER :0.01V
37.

The property of rotatingthe plane of polarization is known as

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OPTICAL ACTIVITY
DICHROISM
SPECIFIC rotation
None of the above

Answer :A
38.

Which of the following does not have the dimensions of velocity ? (Given, epsilon_(0) = permittivity of free space, mu_(0) = permeability of free space, v = frequency , is the wavelength, P is the pressure and = density, k = wave number, omega is the angular frequency) :

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`OMEGA k`
`vlambda`
`sqrt(epsi_(0)mu_(0))`
`sqrt(P/rho.)`

Solution :Here `omegaxxk=T^(-1)L^(-1)` which are not the dimensions of velocity . All others have GOT the dimensions of velocity.
HENCE correct CHOICE is `(a).`
39.

An alternating emf of e=200sin100pit is applied across a capacitor of capacitance 2muF. the capacitive reactance and the peak current is

Answer»

`(5XX10^(3))/(PI)Onega,4xx10^(-2)piA`
`4xx10^(-2)pi OMEGA, (5xx10^(3))/(pi)A`
`(4xx10^(-2))/(pi)Omega, 5xx10^(3)A`
`4Omega, 5xx10^(-3)A`

Answer :A
40.

A steady current I flows along an infinitely long straight wire with circular cross-section of radius R. What will be the magnetic field outside and inside the wire at a point r distance far from the axis of wire?

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Solution :`B(2pir) = mu_(0)[ (1)/(piR^2) (pir^2)]`
`B= ((mu_(0) I)/(2piR^2))R""(R GE r)`
`oint OVERSET(to)(B).d overset(to)(I). = mu_(0) I`
`therefore B = (mu_(0) I)/(2pir) ""(r ge R)`
41.

What should be the length of the dipole antenna for a carrier wave of frequency 3xx10^8 Hz ?

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1M
0.5 m
2m
2.5 m

Answer :B
42.

A : The objective and the eye-piece of a compound microscope should have short focal lengths. R : Magnifying power of a compound microscope is inversely proportional to the focal lengths of both the lenses.

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If both Assertion & REASON are TRUE and the reason is the correct EXPLANATION of the assertion, then mark (1).
If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2).
If Assertion is true statement but Reason is false, then mark (3).
If both Assertion and Reason are false statements, then mark (4).

ANSWER :A
43.

The L-shaped conductor as shown in figure moves a 10 m//s across a stationary L-shaped conductor in a 0.10 T magnetic field. The two vertices overlap so that the enclosed area is zero at t-0 The conductor has resistance of 0.010 ohms per meter. What is current (in Amp) att=0 10 sec (Round off to nearest integer)

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Solution :
`x=10t`
`phi=B[(10t)/sqrt(2)]^(2)`
`(dphi)/(DT)=100Bt=100xx(.10)XX(.10)=1V(dphi)/(dt)=100Bt=100xx(.10)xx(.10)=1V`
`R=(.10)xx4((10t)/sqrt(2))`
`i=I/R (dphi)/(dt)=35.35 approx 35 A`
44.

There is a semi-infinite hollow cylindrical pipe (i.e. one end extends to infinity) with uniform surface charge density. What is the direction of electric field at a point A on the circular end face?

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ANSWER :PARALLEL to the AXIS of the CYLINDER.
45.

A radioactive nuclide A_1with decay constant , lamda_1 transform into a radioactive nuclide A_2with decay constant lamda_2 . Assuming that at the initial moment the preparation contained only the nuclide A_1Find the time interval after which the activity of the nuclide A_2reach its maximum value.

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ANSWER :`(In(lamda_(2)//lamda_(1)))/(lamda_(2)-lamda_1)`
46.

The amplitude of oscillation of a simple pendulum is increased from 1^(@) " to " 4^(@). Its maximum acceleration changes by a factor of

Answer»

`(1)/(4)`
`(1)/(2)`
2
4

Answer :D
47.

Here we find a missing force by using the acceleration. In the overhead view of Fig. 5-4a, a 2.0 kg cookie tin is accelerated at 3.0" m"//"s"^(2) in the direction shown by vec(a), over a frictionless horizontal surface. The acceleration is caused by three horizontal forces, only two of which are shown: vec(F)_(1) of magnitude 10 N and vec(F)_(2) of magnitude 20 N. What is the third force vec(F)_(3) in unit-vector notation and in magnitude-angle notation?

Answer»

Solution :The net force `vec(F)_("net")` on the tin is the sum of the tree forces and is related to the ACCELERATION `vec(a)` via Newton.s second law `(vec(F)_("net")=m vec(a))`. Thus,
`vec(F)_(1)+vec(F)_(2)+vec(F)_(3)=m vec(a),""(5-6)`
which gives us
`vec(F)_(3)=m vec(a)-vec(F)_(1)-vec(F)_(2).""(5-7)`
Calculations: Because this is a two-dimensional problem, we cannot find `vec(F)_(3)` merely by substituting the magnitudes for the vector quantities on the right side of Eq. 5-7. Instead, we must vectorially add `m vec(a),-vec(F)_(1)` (the reverse of `vec(F)_(1)`), and `-vec(F)_(2)` (the reverse of `vec(F)_(2)`), as shown in Fig. 5-4b. This ADDITION can be done directly on a vector-capable calculator because we know both magnitude and angle for all three vectors. However, here we shall evaluate the right side of Eq. 5-7 in terms of components, first along the x axis and then along the y axis. Caution: Use only one axis at a time.

Figure 5-4 (a) An overhead view of two three horizontal forces that act on a cookie tin, RESULTING in acceleration `vec(a).vec(F)_(3)` is not shown. (b) An arrangement of vectors `m vec(a),-vec(F)_(1)`, and `-vec(F)_(2)` to find force `vec(F)_(3)`.
x components: Along the x axis we have
`F_(3,x)=ma_(x)=F_(1,x)-F_(2,x)`
`=m(a cos 50^(@))-F_(1)cos(-150^(@))-F_(2)cos90^(@)`.
Then, substituting known data, we find
`F_(3,x)=(2.0" kg")(3.0" m"//"s"^(2))cos 50^(@)-(10" N")cos(-150^(@))`
`-(20" N")cos 90^(@)`
`=12.5` N.
y comonents: Similarly, along the y axis we find
`F_(3,y)=ma_(y)-F_(1,y)-F_(2,y)`
`=m(a sin 50^(@))-F_(1)sin(-150^(@))-F_(2)sin 90^(@)`
`=(2.0" kg")(3.0" m"//"s"^(2))sin 50^(@)-(10" N")sin(-150^(@))`
`-(20" N")sin 90^(@)`
`=10.4" N"`.
Vector: In unit-vector notation, we can write
`vec(F)_(3)=F_(3,x)hati+F_(3,y)hatj=(12.5" N")hati-(10.4" N")hatj`
`~~(13" N")hati-(10" N")hatj`.
We can now use a vector-capable calculator to get the magnitude and the angle of `vec(F)_(3)`. We can also use Eq. 3-6 to obtaiin the magnitude and the angle (from the positive direction of the x axis) as
`F_(3)= sqrt(F_(3,x)^(2)+F_(3,y)^(2))=16" N"`
and `""theta=tan^(-1)(F_(3,y))/(F_(3,x))=-40^(@)`.
48.

In a cloud chamber alpha, beta and gamma radiations are sent. The nature of tracks produced by these particles respectively will be

Answer»

THIN and LONG, THICK and SHORT thin and very long.
thick and short, thin and long, fuzzy
thick and long, thin and short, fuzzy
thick and short, thin and long, thick and long

Answer :B
49.

A proton is moving away from an electron, then find the change in potential energy of the system.

Answer»

decreases
INCREASES
remains constant
may decrease or increase

Solution :Potential energy of system MADE of proton and election,
`U = (k(E)(-e))/(r) =- (ke^(2))/(r)`
`:.` Negative VALUE of U decreases with increase in r.
Hence potential energy increases .
50.

What is the magnification of the imageof an object placed at the centre of curvatureof a concave mirror ?

Answer»


ANSWER :1