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FIITJEE - JEE MAIN PHYSICS, CHEMISTRY & MATHEMATICS BATCHES : Two Year CRP (1719) A-LOT (CPT3) PHASE TEST-III Q.P. CODE : SET–A Time Allotted: 3 Hours
Maximum Mar
Do not open this Test Test Booklet Booklet until you are are asked asked to do so. Please read the instructions carefully. You are allotted allotted 5 minutes specifically for this purpo
Important Instructions: 1.
Immediately fill in the particulars on this page of the Test Booklet Booklet with with Blue / Black Ball Point Pen. Use of strictly prohibited.
2.
The Answer Sheet Sheet is kept inside this this Test Booklet. When you are directed directed to open the Test Booklet, tak Answer Sheet and fill in the particulars ca refully.
3.
The test is of 3 hours duration. hours duration.
4.
The Test Booklet consists of 90 questions. The maximum marks are 360. 360.
5.
There are three parts parts in the question paper A, B, C consisting of Physics, Chemistry and Mathematic 30 questions in each part of equal weightage. Each question is allotted 4 (four) marks for correct response
6.
Candidates will be awarded marks as stated above in instruction No.5 for correct response of each qu (one fourth) marks will be deducted for indicating incorrect response of each question. No deduction from score will be made if no response is indicated for an item in the answer sheet.
7.
There is only one correct response for each question. question. Filling up more than one response in any questi treated as wrong response and marks for wrong response will be deducted accordingly as per instruction 6
8.
Use Blue / Black Ball Point Pen only for writing particulars / marking responses on Side-1 Side-1 and Side Answer Sheet. Use of pencil is strictly prohibited.
Master9. your semester with Scribd No candidate is allowed to carry any textual material, printed or Read written, bits of on papers, pager, mobile ph Free For 30this Days Sign up to vote title electronic device, etc. except the Admit Card inside the examination hall / room. & The New York Times Useful Not useful Cancel anytime.
On completion of the test, the candidate must hand over the Answer Sheet to the Invigilator on duty in th Special offer10. for students: Only $4.99/month. Hall. However, the candidates are allowed to take away this Test Booklet with them.
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IT− IT−2019− 2019−Two Year CRP (1719)-(A-LOT) PH-III-(PCM) JEE MAIN-(SET-A)− MAIN-(SET-A)−2
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Useful Data PHYSICS Acceleration due to gravity
g = 10 m / s2
Planck constant
h = 6.6 × 10 –34 J-s
Charge of electron
e = 1.6 × 10 –19C
Mass of electron
me = 9.1 × 10 –31 kg
Permittivity of free space
ε0 = 8.85 × 10 –12 C2 /N-m2
Density of water
ρwater = 103 kg/m3
Atmospheric pressure
Pa = 105 N/m2
Gas constant
R = 8.314 J K –1 mol –1
CHEMISTRY Gas Constant
Avogadro's Number Planck’s Constant 1 Faraday 1 calorie 1 amu 1 eV
R = = = Na = h = = = = = =
8.314 J K−1 mol−1 0.0821 Lit atm K−1 mol−1 1.987 ≈ 2 Cal K−1 mol−1 6.023 × 1023 6.626 × 10 –34 Js 6.25 x 10-27 erg.s 96500 Coulomb 4.2 Joule 1.66 x 10-27 kg 1.6 x 10-19 J
Atomic No.: H=1, He=2, Li=3, Li=3, Be=4, B=5, C=6, N=7, N=7, O=8, F=9, Na=11, Na=11, Mg=12, A Si = 14, P = 15, S = 16, Cl = 17, Ar =18, K=19, Ca=20,Cr=24, Mn=25, Fe=26, C Ni=28, Cu=29, Zn=30, As=33, Br = 35, Ag = 47, Si = 21, Sn = 50, Ti = 22,I = 53, Xe Read Free For 30 Days Sign up to vote on this title Ba = 56, Pb = 82, U = 92, V = 50.
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Atomic Special offer for students: Only masses: $4.99/month.H =1, He=4, Li=7, Be=9, B=11, C=12, N=14, O=16, F=19, N
Mg=24, Al=27, Si=28, P=31, S=32, Cl=35.5, K=39, Ca=40, Cr=52, Mn=55, Fe=56, C
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IT− −2019− −Two Year CRP (1719)-(A-LOT) PH-II I-(PCM) JEE MAIN-(SET-A)− −3
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P h hy ys si i c cs s PART – A Straight Objective Type This part contains 30 multiple choice questions. Each question has 4 choices (A), (B), (D), out of which ONLY ONE is correct. 1.
A uniform circular disc of radius r oscillates about a horizontal axis which lies in disc. Find the perpendicular distance of axis from centre for the time period to be ma (A) r/2 (B) r/4 (C) 3r/4 (D) 3r/8
2.
The equation of a standing wave is given as y = 0.02 sin
π + 50 πt cos (10πx ) whe 2
y are in metres and t is in seconds. Choose the incorrect statement: (A) The wavelength of wave is 0.2m (B) Displacement node occurs at x = 0.15m (C) Displacement antinode occurs at x = 0.3m (D) The speed of constituent waves is 0.2 m/s 3.
If a wire having modulus of elasticity is 2×1011N/m2 is stretched to 2cm when we force 10N, what is the elastic potential energy of wire? (A) 20 N-cm (B) 30 N-cm (C) 10 N-cm (D) cannot be dete
4.
A black body emits radiation at the rate P when its temperature is T. At this tempera wavelength at which radiation has maximum intensity is λo. If at another temperatur You're at Reading a Preview power radiated is P’ and wavelength maximum intensity is λo /2 then: (A) P’T’=32 PT (B) P’T’=16 PT (C) P’T’=8 PT (D) P’T’=4 PT Unlock full access with a free trial.
5.
A source emits sound of frequency 1000 Hz in air. If this sound wave is incident surface, it gets partially reflected back and refracted (transmitted) in Download With Freepartially Trial Difference in wavelength transmitted and wavelength reflected will be (speed of s air = 330 m/s, Bulk modulus of water = 2.25x109, ρwater = 1000 kg/m3): (A) 0.8 m (B) 1.17 m (C) 1.8 m (D) 2.21 m
6. your A ideal monoatomic with gas initially occupies volume V and pressure P. Now the gas Master semester Scribd a process in which pressure of the gas is proportional toFree itsvote volume. Ittitle is found that Read Foron 30this Days Sign up to of the gas molecule gets doubled after the process. to the ga & The Newspeed York Times useful Useful Heat Notsupplied above said process is: Special offer for students: Only $4.99/month.
(A) 4PV
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(B) 6PV
(C) 8 PV
(D) 10 PV
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IT− −2019− −Two Year CRP (1719)-(A-LOT) PH-III-(PCM) JEE MAIN-(SET-A)− −4
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7.
On a TP diagram, two moles of ideal gas perform process AB and CD. If the work done by the gas in the process AB is two times the work done in the process CD then what is the value of T1 /T2? (A) 1/2 (B) 1 (C) 2 (D) 4
T A
T1 T2
C D
8.
A small body of super dense material, whose mass is twice the mass of the earth size is very small compared to the size of the earth, starts from rest at a height H<
9.
A system consists three particles, each of mass M lying on the corners of an triangle of side 2 ℓ. If the length of each side of the triangle is decreased to ℓ, without
in kinetic energy of the particles, the work done by an external agent is given by: 3GM2 3GM 3GM2 (A) − (B) − (C) (D) None of these ℓ 2ℓ 2ℓ 10.
11.
A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300 the ratio of average rotational kinetic energies per O 2 molecule to per N2 molecule is: (A) 1 (B) 7 (C) 7/8 (D) 8/7 You're Reading a Preview Three masses 700gm, 500gm and 400gm are suspended at the end of a Unlock full access with a free trial. massless spring as shown, when 700 gm is removed system oscillates with a period 3sec. What will be its period when 500gm is also removed? Download With Free Trial (A) 1 sec (B) 2 sec (C) 3 sec 12 sec (D) 5
Master your semester with Scribd Read Free ForHz. 30this Days 12. An open pipe of length 47cm has fundamental frequency What Sign up to340 vote on title is the dia tube if Times velocity of sound in air is 340 m/sec? Useful Not useful & The NewtheYork (A) 2 cm
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IT− −2019− −Two Year CRP (1719)-(A-LOT) PH-II I-(PCM) JEE MAIN-(SET-A)− −5
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13.
P –V diagram of an ideal gas is as shown, work done by the gas in the process ABCD is: (A) 4 P0 V0
P C
2P0
(B) 2 P0 V0 P0
(C) 3 P0 V0
B
(D) P0 V0 V0
2V
14.
A body of mass m is situated in a potential field Ux = U0 (1 − cosαx) when U0 an constants. The time period of small oscillations of the mass is: m m 2m 3m 2 π 2 π 2 π (A) π (B) (C) (D) uo α 2 uo α 2 uo α 2 uo α 2
15.
P-V plot of an ideal mono-atomic gas is shown in the figure C → A is part of a rectangular hyperbola. Then which of the following (U → internal energy of the gas and ρ → density of the gas) graph is correct.
P C
B U
U A
A
C
(A)
(B) B
B
ρ
U
ρ
You're Reading Ua Preview C
A
Unlock full access with a free trial.
(C)
(D) Download With Free Trial B
16.
C
C
ρ
B
A
ρ
A gas is expanded from volume V0 to 2V0 under different P processes. Process (1) is isobaric (2) is isothermal and (3) is adiabatic. Let ∆U1, ∆U2 and ∆U3 be the change in internal energy P of the gas in these three processes then: Read Free Foron 30this Days Sign up to vote title < ∆U2 < ∆ U3Not useful (A) ∆U1 > ∆U2 > ∆U3 (B) ∆U 1 Useful
Master your semester with Scribd & The New York Times ∆U1 < ∆U3 U2 <$4.99/month. (C) ∆Only Special offer for students:
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(D) ∆U2 > ∆U1 > ∆U3
2
V0
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IT− −2019− −Two Year CRP (1719)-(A-LOT) PH-III-(PCM) JEE MAIN-(SET-A)− −6
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17.
At t = 0, source starts accelerating with an acceleration source a and observer starts moving with constant velocity v0 a0 as shown in the figure simultaneously. Source emits a frequency f and velocity of sound in the air is v. The frequency detected by the observer initially is: (v − v o )f 2 2(v − v o )f 2 (v − v o )f 2 (A) (B) (C) (2vf − a) (2vf − a) 2(2vf − a)
ℓ
2(v − v o )f 2 (D) (vf − a)
18.
Two particles P and Q describe SHM of same amplitude ‘A’ and angular frequency the same straight line. The maximum distance between the two particles is 2 A. T phase difference between the particles is: π π 2π (A) (B) (C) (D) π 4 2 3
19.
The velocity of waves in a string fixed at both ends is 2 m/s. The string forms standin with nodes 5.0 cm apart. The frequency of vibration of the string (In Hz) is: (A) 40 (B) 30 (C) 20 (D) 10
20.
A closed gas cylinder is divided into two parts by a piston held tight. The press volume of gas in two parts respectively are (P, 5V) and (10P, V). If now the piston is and the system undergoes isothermal process, then the volume of the gas in tw respectively are: (A) 2V, 4V (B) 3V, 3V (C) 5V, V (D) 4V, 2V
21.
In a room where temperature is 30oC a body cools from 61 oC to 59oC is 4 minutes. T taken by the body to cool from You're 51 oC to 49oC will be: Reading a Preview (A) 4 minutes (B) 6 minutes (C) 5 minutes (D) 8 minutes Unlock full access with a free trial.
22.
One train is approaching an observer at rest and another train is receding from same velocity 4 m/s. Both theDownload trains blow whistles of same frequency of 243 Hz. T With Free Trial frequency (In Hz) as heard by the observer is (speed of sound in air = 320 m/s): (A) 10 (B) 6 (C) 4 (D) 1
23.
A vehicle is moving on a circular path of radius R with constant speed
gR.
pendulum of length λ hangs from the ceiling of the vehicle. The time period of oscill Master your semester with Scribd Read Free Foron 30is: Days Sign up to vote this title the pendulum in a vertical plane containing centre of circular path & The New Yorkℓ Times Useful Not useful 2ℓ ℓ (A) 2Only π $4.99/month. Special offer for students: g
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IT− −2019− −Two Year CRP (1719)-(A-LOT) PH-II I-(PCM) JEE MAIN-(SET-A)− −7
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24.
A standing wave having three antinodes and four nodes is formed between having a distance of 2A° between them. The wavelength of the standing wave is: (A) 1.33A° (B) 6 A° (C) 1.4 A° (D) 8 A°
25.
If a tunnel is dug along the diameter of the earth and a body is dropped into it, them taken by it to cross the tunnel once is (R = radius of earth) g g R R (A) 2π (D) π (B) π (C) 2π R R g g
26.
Two rods of length l1 and l2 are made of materials whose coefficients of linear ex are α1 and α 2 . If the difference between two lengths is independent of temperature l α (A) 1 = 1 l2 α2
l α (B) 1 = 2 l2 α1
2 2
2 1
(B) l α1 = l α2
α12 α 22 (D) = l1 l2
27.
An ideal gas has molar heat capacity Cv at constant volume. The gas undergo the T = T0 (1 – αV) where α, T0 is constant and V is volume. Then molar heat capacity of th R R (A) Cv + (1 − αV) (B) Cv − (1 − αV) αV αV R R (C) Cv − (1 + α V) (D) Cv + (1 + αV) 2αV 2αV
28.
A mass M is oscillating with frequency fo if hung with a spring of stiffness k. Now it is cut in two parts in the ratio of 2 : 1 and connected as shown. The new frequency is now You're Reading a Preview 1 k 1 3k (A) (B) 2π M M π trial. Unlock full access with a 2 free (C)
29.
1 2k
3k 2M
M
3 k (D) 2πTrial 2M Download With Free
If the intensity of sound is doubled, by how many decibels (in dB) does the so increase? (A) 2 (B) 3 (C) 4 (D) 6
Master your semester with Scribd 30. The fractional change in the value of free-fall acceleration ‘g’ aDays particle when Read Free Forfor 30this Sign up to vote on title the surface to an elevation h (h<
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IT− −2019− −Two Year CRP (1719)-(A-LOT) PH-III-(PCM) JEE MAIN-(SET-A)− −8
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C h he em mi is s t tr ry y PART – B Straight Objective Type This part contains 30 multiple choice questions. Each question has 4 choices (A), (B), (C) out of which ONLY ONE is correct. 1.
Which of the following dienes is expected to have least value of enthalpy of hydrogen H2C
(A)
H2C
CH2
CH2
(B)
(C))
CH3
2.
(D) H2
2+
O2N
C
C
CH3
Hg → P, P is : dil.H SO 2
4
CH3
O
CH3
O
(A)
O
O
CH3
(B)
(C)
NO2
3.
CH2 H2C
(D)
None o
NO2
NO2
What will the correct product (A) and (B) respectively of the following reaction? R
You're Reading a Preview H2 ( 1 e q. ) →A Ni (20 0°-30 0°)
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Br2 (1 eq)
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(B) R R
H
(A)
R
R
H
R
H
R Br
(B)
H Br
(C)
H
Br
(D)
Master your semester with Scribd Read Free Foron 30this Days Sign up to vote title of theTimes following will be the correct product (P) of the Useful reaction? Not useful & The4.NewWhich York ,
,
,
Br
NBS
→P ? CH2 Special offer for students: H3C Only $4.99/month. Br
Br
Br
Cancel anytime. Br
Br
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