Physics Tutor In Faridabad-IIT JEE MAIN 28 JULY 2022 MORNING SHIFT SOLVED PHYSICS PAPER by KUMAR SIR PHYSICS

PHYSICS JEE-MAIN (JulyAttempt) 28 July (Shift-1) Paper Solution r F =ma = mo At Adt mdV d Impulse momentum C=K i F= BILSInO N =NO (Y)" F=GTUU

(B)[MLT–2]

ENERGY DENSITY

s

1. The dimensions of (B2) will be: μ0 (if 0 : permeability of free space and B : magnetic ﬁeld) (A)[ML2 T–2]

(C)[ML–1 T–2] (D)[ML2 T–2 A–1]

a v

Energy M12 53 volume > ↳ =M52

2. A NCC parade is going at a uniform speed of 9 km/h under a mango tree on which a monkey is sitting at height of 19.6 m. At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is : (Given g = 9.8 m/s2) (A) 5 m (B) 10 m (C) 19.8 m (D) 24.5 m~ SO MONKE 19.6 mt 9km/nr 2 =0 -48t"t x I =ITs =2 second ↳ Dissance wavelled by the cadet - ox=*xxX 5m

3. In two different experiments, an objects of mass 5 kg moving with a speed of 25 ms–1 hits two different walls and comes to rest within (i) 3 second, (ii) 5 seconds, respectively. Choose the correct option out of the following:

(A) Impulse and average force acting on the object will be same for both the cases.

(B) Impulse will be same for both the cases but the average force will be different.

(D) Average force and impulse will be different for both the cases.

ma

m:omo). of t

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~ F =

F =

F. dt = dO m (DU). first case second case Impulse 5(25-0) Impulse =5(25-0) F1 DT =125NS O2 Dt 125N. Fr = 135-15 N F = 15 N

ma:m

At

Vam

(at) (som

EDyne

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4. A balloon has mass 10 g in air. The air escapes from the balloon at a uniform rate with velocity 4.5 cm/s. If the balloon shrinks in 5 s completely. Then, the average force acting on that balloon will be (in dyne). (A) 3 (B) 9 (C) 12 (D) 18

v ↑ =

If the radius of earth shrinks by 2% while its mass remains same. The acceleration due to gravity on the earth's surface will approximately:

(A) decrease by 2%

(B) decrease by 4% (C) increase by 2%

(D) increase by 4%

M- sous valt

bx100;

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v 8: 5

8 x 100) = 2

= 2 (2%) = 4

Y= F/A Dese

FFYA.DeNiroh scenes

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6. The force required to stretch a wire of cross-section 1 cm2 to

double

its length will be : (Given

Yung's

modulus of the wire = 2 × 1011 N/m2) (A)1×107 N (B)1.5×107 N (C)2×107 N (D)2.5×107 N

2 + My ↓ I + Pr + ↓ I

I 2x18° N

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7. A Carnot engine has efﬁciency of 50%. If the temperature of sink is reduced by 40° C, its efﬁciency increases by 30%. The temperature of the source will be: (A) 166.7 K (B) 255.1 K (C) 266.7 K (D) 367.7 K

v 7 = 1 5 =1, (12) = 1-T-40 TH =1 = IsH-ET2 -HEtIgE25ELK

Given below are two statements:

Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.

Statement II : The rms speed of oxygen molecules in a gas in . If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become 2.

In the light of the above statements, choose the correct answer from the options given below:

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is true but Statement II is false

Statement I is false but Statement II is true

(Due to wandom motion

(A)

(B)

(C)

(D)

r Pang 0

( Orms = 3 NCW = 2 T HNeW = F/ NEW, z =2 = T/ UNCW 2 V

9. In the wave equation y = 0.5 sin 2π (400 t x)m λ The velocity of the wave will be: (A) 200 m/s (B) 200√2 m/s (C) 400 m/s (D) 400√2 m/s > X F= 0.5 Sin (*(400t) 2Yc] compare with 3: a sin ut a] * Of= C4oox 0=G00m/s

each having capacitance 40 F are connected in series. The space between one of the capacitors is ﬁlled with dielectric material of dielectric constant K such that the equivalence capacitance of

value

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10. Two capacitors,

the system became 24 F. The

of K will be : (A)1.5 (B) 2.5 (C) 1.2 (D) 3

⑭ Aly v C & seg: + C2, 24 = () (KC) StKC 24 10) + N 24K+24= 40K 24 = 16K-K=E3 1.5

11. A wire of resistance R1 is drawn out so that its length is increased by twice of its original length. The ratio of new resistance to original resistance is: (A) 9 : 1 (B) 1 : 9 (C) 4 : 1 (D) 3 : 1N Ro 3 I RC = Ge But volume remains constall A1l = Azl2 ANCI)= An (3e)) = b=3 On-se,it eat*** f** , =

12. The current sensitivity of a galvanometer can be increases by

(A) Decreasing the number of turns

(B) Increasing the magnetic ﬁeld

(D) Decreasing the torsional constant of the spring

Choose the most appropriate answer from the options given below:

(A) (B) and (C) only (B) (C) and (D) only (C) (A) and (C) only (D) (B) and (D) only-

BE A KO = KO NBA

IIDNi d current sensitivity can be increased only when N, B*, A4, K

13. As shown in the figure, a metallic rod of linear density 0.45 kg m–1 is lying horizontally on a smooth inclined plane which makes an angle of 45° with the horizontal. The minimum current flowing in the rod required to keep it stationary, when 0.15 T magnetic field is acting on it in the vertical upward direction, will be: (A) 30 A (B) 15 A (C) 10 A (D) 3 A v UNDER EQUILIBRIUH BILL0450 B CONDITION 7 1450 my Sin450: BIL C03450 so BE L F=)(3) my Sin450 a my ↑ RONT UI aw SURDINT IS INSIDE-xl clTHE CONDUCTOR > 30 A 50

14. The equation of current in a purely inductive circuit is 5 sin (49 t – 30°). If the inductance is 30 mH then the equation for the voltage across the inductor, will be : {Let π = 22} 7 (A) 1.47 sin(49 t – 30°) (C) 23.1 sin(49 t – 30°) (B) 1.47 sin(49 t + 60° ) (D) 23.1 sin(49 t + 60°) M 13 Vo = Fo (X2)T =5(49) TT(30 x 18%) =23.1 volt Voltage leads to current by 980 v = 231 Sin (99T+ + 60°

shown

after passing through the medium 1. The speed of light 2 in medium

will be

Medium

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15. As

in the ﬁgure,

: (Given c = 3 × 108 ms–1) Air

+ ⑭ Mr = 1 Mo 1 -5 4 v = 9 A 1 O, Uc. ~ = Me Oam =toatio are => = ITTR), 0 = 4 = 3x108-100ms"

16. In normal adjustment, for a refracting telescope, the distance between objective and eye piece is 30 cm. The focal length of the objective, when the angular magniﬁcation of the telescope is 2, will be :

m fo

c* fo="fe

to t se = 30

-> a =

to t 1 = 30 to = 3. to = 20cm

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17. The equation λ = 1.227 nm can be used to ﬁnd the de-Brogli wavelength of an electron. In this x equation x stands for: Where m = mass of electron P = momentum of electron K = Kinetic energy of electron V = Accelerating potential in volts for electron (A) √mK (B) √P (C) √K (D) √V

2 KE = me' 0- 2 CKE) W *** Hozo:mint ar x =TILL A ze = I

18. The half life period of a radioactive substance is 60 days. The time taken for 7 th of its original mass to disintegrate will be: 8 (A) 120 days (B) 130 days (C) 180 days (D) 20 days ⑧ I v "If > disintegrate =No (t)"left if th 1 MO (t) "-n 3 8 Total time 2 (T) = 3 (60) =180 Days

Identify the solar cell characteristics from the following options:

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19.

case of amplitude modulation to avoid distortion the modulation index (

t

) should be :

Am M1 1 to avoid distortion.

becaus M3d will result in interference between carrier frequency & message frequency.

20. In the

(A) 1 (B) 1 (C) = 2 (D) = 0

Il O M =

21. If the projection of 2î + 4j 2k on î + 2j + αk is zero. Then, the value of will be ___________ . Sol. (5) M = 5 = 0 2 (p) +4(2) 22 = 0 2 x b = 2 2 0 2 G =10 2 =5

22. A freshly prepared radioactive source of half life 2 hours 30 minutes emits radiation which is 64 times the permissible safe level. The minimum time, after which it would be possible to work safely with source, will be _____________ hours. =No (t) " No- N (t) " (1) =(5) " U = G total time =n (T) > 6 (2.5) = 15-hours

laser light of 560 nm produces an interference pattern with

bright fringes' separation of 7.2 mm.

another light is used to produce an interference pattern with consecutive bright fringes' separation of 8.1 mm. The wavelength of second light is

23. In a Young's double slit experiment, a

consecutive

Now

____________ nm. Sol. (630) B= 1P =PC = ** Bu = ()x500 =630 nm

24. The frequencies at which the current amplitude in an LCR series circuit becomes 1/√2 times its maximum value, are 212 rad s–1 and 232 rad s–1. The value of resistance in the circuit is R = 5.

The self inductance in the circuit is _____________ mH. Sol. (250)

BAND WIDTH

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mH

⑮

= (232-212) = R/L L = = 250

25. As shown in the ﬁgure, a potentiometer wire of resistance 20 and length 300 cm is connected with resistance box (R. B.) and a standard cell of emf 4 V. For a resistance 'R' of resistance box introduced into the circuit, the null point for a cell of 20 mV is found to be 60 cm. The value of 'R' is _______________. ⑭ TO 0 · GV RB VI--I 300sm-= 60cm20 mV. 4 300 <m -> 20-ohm F 60 (m > 205* = 4ohm & B+ 20 3-5 2 0x153= +zo) (4). a t = Bt2* 000=Bstco RB = 780-ohm

26. The electric dipoles of dipole moments 1.2 × 10–30 Cm and 2.4 × 10–30 Cm are placed in two different uniform electric ﬁelds of strengths 5 × 104 NC–1 and 15 × 104 NC–1 respectively. The ratio of maximum torque experienced by the electric dipoles will be 1. The value of x is _________. Sol. (6) -30 30 X ⑭ X Als X ↑ X ⑭ = = PE _ onfi- 12x180x 5x10" = I 24 x 1830 x 15x104 6 X =6

27-The frequency of echo will be ___________ Hz if the train blowing a whistle of frequency 320 Hz is moving with a velocity of 36 km/h towards a hill from which an echo is heard by the train driver. Velocity of sound in air is 330 m/s. Sol. (340) 34 0 free heard by the will-fi = f ) es) = (330) x320 =330Hz. free heard by car after <AR 10m5" reflection - to 10wo) = 330(330t10) =340H2

28. The diameter of an air bubble which was initially 2 mm, rises steadily through a solution of density 1750 kg m–3 at the rate of 0.35 cms–1. The coefﬁcient of viscosity of the solution is ____________ poise (in nearest integer). (The density of air is negligible). Sol. (11) *** Sg = 0fy00 Je vssg (7) U contact 3x60e= 7. acceleration O v =1X18-3 nt 5 = 175x100kg/mt? 0 = 0.35 x18"mA/sec mg Fo = 644U5 9 = = 1'll SI unit ↳ Ignored because =11 boise (693) ofair bubble

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29. A block of mass 'm' (as shown in ﬁgure) moving with kinetic energy E compresses a spring through a distance 25 cm when, its speed is halved. The value of spring constant of used spring will be nE Nm–1 for n = ______________.24 N WNee = Kg-KL

-kEm (t)"-tmr" K = 3E 2C? * = EE5 2 i 2124

Four identical discs each of mass 'M' and diameter 'a' are arranged in a small plane as shown in ﬁgure. If the moment of inertia of the system about OO' is x Ma2. Then, the value of x will be

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' 30.

_____________. O 4

Fo IntFs+ In I I O II = (xt In) + (Ez + Es). -> (FIRx2) +2 (IB +May IC Is #R" + 2 )"R") In - TRL Iii 3H* = eHanaoMCR o 3x1=cyo) ze =3

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