®
PART TEST-4 (PT-4)
Code
(JEE ADVANCED PATTERN) TARGET : JEE (MAIN+ADVANCED) 2016
SUBJECT : PHYSICS P06A-15 Date : 27-12-2015
0
COURSE : VIJAY (JR)
Time: 2 Hours
Maximum Marks : 168
Please read the instructions carefully. You are allotted 5 minutes specifically for this purpose. 1. 2.
The sealed booklet is your Question Paper. Do not break the seal till you are instructed to do so. The question paper CODE is printed on the right hand top corner of this sheet.
3. 4.
Use the Optical Response Sheet (ORS) provided separately for answering the question. Blank spaces are provided within this booklet for rough work.
5. 6.
Write your Name and Roll Number in the space provided on the below cover. After the open booklet, verify that the booklet contains all the 44 questions along with the options are legible.
QUESTION PAPER FORMAT AND MARKING SCHEME : 7. This questions paper consists of Five sections. 8. Carefully read the instructions given at the beginning of each section. 9.
Section 1 contains 10 multiple Choice question with Only one correct option. Marking scheme: +4 for correct answer, 0 if not attempted and –2 in all other cases.
10.
Section 2 contains 14 multiple Choice question with one or more than one correct option. Marking scheme: +4 for correct answer, 0 if not attempted and –1 in all other cases.
11.
Section 3 contains 3 "paragraph" type questions. Each paragraph describes an experiment, a situation or a problem. Two multiple choice questions will be asked based on this paragraph. One or more than one correct option.
12.
13.
Marking scheme: +4 for correct answer, 0 if not attempted and –1 in all other cases. Section 4 contains 2 "match the following" type question and you will have to match entries in Column I with the entries in Column-II. Marking scheme : for each entry in Column I, +2 for correct answer, 0 if not attempted and –1 in all other cases. Section 5 contains 12 questions. The answer to each question is a single digit integer ranging from 0 to 9 (both inclusive). There are 12 Questions & you have to attempt any 8 Questions. If a student attempts more than 8 questions, then only first 8 questions which he has attempted will be checked. Marking scheme: +4 for correct answer, 0 if not attempted and –2 in all other cases.
OPTICAL RESPONSE SHEET : 14. Darken the appropriate bubbles on the original by applying sufficient pressure. 15. The original is machine-gradable and will be collected by the invigilator at the end of the examination. 16. Do not tamper with or mutilate the ORS. 17. Write your name, roll number and the name of the examination centre and sign with pen in the space provided for this purpose on the original. Do not write any of these details anywhere else. Darken the appropriate bubble under each digit of your roll number. DARKENING THE BUBBLES ON THE ORS : 18. Use a BLACK BALL POINT to darken the bubbles in the upper sheet. 19. Darken the bubble COMPLETELY. 20. Darken the bubble ONLY if you are sure of the answer. 21. The correct way of darkening a bubble is as shown here : 22. There is NO way to erase or "un-darkened bubble. 23. The marking scheme given at the beginning of each section gives details of how darkened and not darkened bubbles are evaluated. NAME OF THE CANDIDATE : ………………………………………………………………..……………………… ROLL NO. : ………………………..……………………… I have read all the instructions and shall abide by them ------------------------Signature of the Candidate
I have verified the identity, name and roll number of the candidate. ------------------------Signature of the Invigilator
Resonance Eduventures Ltd. CORPORATE OFFICE : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005 Ph.No. : +91-744-3012222, 6635555 | Toll Free : 1800 200 2244 | 1800 102 6262 | 1800 258 5555 Reg. Office : J-2, Jawahar Nagar, Main Road, Kota (Raj.) 324005 | Ph. No.: +91-744-3192222 | FAX No. : +91-022-39167222 P6A Website : www.resonance.ac.in | E-mail :
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DO NOT BREAK THE SEAL WITHOUT BEING INSTRUCTED TO DO SO BY THE INVIGILATOR
GENERAL %
PHYSICS SECTION – 1 : (Maximum Marks : 40)
1.
This section contains TEN questions Each question has FOUR options (A), (B), (C) and (D). ONLY ONE of these four option is correct For each question, darken the bubble corresponding to the correct option in the ORS Marking scheme : +4 If only the bubble corresponding to the correct option is darkened 0 If none of the bubble is darkened –2 In all other cases A particle is executing SHM according to the equation x = A cos t. Average speed of the particle during the interval 0 t . 6 (A)
2.
3A 2
(B)
3A 4
(C)
3A
(D)
3A 2 3
A transverse wave is propagating along +x direction. At t = 2 sec, the particle at x = 4m is at y = 2 mm. With the passage of time its y coordinate increases and reaches to a maximum of 4 mm. The wave equation is(using and k with their usual meanings) (A) y 4 sin[ (t 2) k(x 2) ] (B) y 4 sin [(t 2) k(x) ] 6 6 5 (C) y 4 sin [(t 2) k(x 4) ] (D) y 4 sin [(t 2) k(x 4) ] 6 6 Space for Rough Work
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 Website : www.resonance.ac.in | E-mail :
[email protected] Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
JRPT4271215C0-1
PHYSICS
PHYSICS
3.
A student is performing the experiment of Resonance Column. The diameter of the column tube is 4cm. The frequency of the tuning fork is 512 Hz. The air temperature is 38° C in which the speed of sound is 336 m/s. The zero of the meter scale coincides with the top end of the Resonance Column tube. When the first resonance occurs, the reading of the water level in the column is (A) 14.0 cm (B) 15.2 cm (C) 16.4 cm (D) 17.6 cm
4.
A stationary observer receives sonic oscillations from two tuning forks, one of which approaches and the other recedes with same speed. As this takes place the observer hears the beat frequency of 2 Hz. Find the speed of each tuning fork, if their oscillation frequency is 680 Hz and the velocity of sound in air is 340 m/s. [Use g = 10 m/s2] (A) 1 m/s
5.
(B) 2 m/s
(C) 0.5 m/s
(D) 1.5 m/s
Seven identical disc are arranged in a hexagonal, planar pattern so as to touch each neighbor, as shown in the figure. Each disc has mass m and radius r. What is the moment of inertia of the system of seven disks about an axis passing through the centre of central disk and normal to plane of all disks ?
(A)
7 mr2 2
(B)
13 2 mr 2
(C)
29 mr2 2
(D)
55 2 mr 2
Space for Rough Work
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 Website : www.resonance.ac.in | E-mail :
[email protected] Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
JRPT4271215C0-2
PHYSICS
PHYSICS
6.
Assuming frictionless contacts, then the magnitude of external horizontal force P applied at the lower end for equilibrium of the rod will be : (The rod is uniform and its mass is 'm'):
(A)
mg 2
(B)
mg cot 2
(C)
mg tan 2
(D)
mg sec 2
7.
A massless stick of length L is hinged at one end and a mass m attached to its other end. The stick is free to rotate in vertical plane about an fixed horizontal axis passing through frictionless hinge. The stick is held in a horizontal position. At what distance x from the hinge should a second mass M = m be attached to the stick, so that stick falls as fast as possible when released from rest
(A) 8.
2L
(B)
(C) ( 2 1)L
3L
(D) ( 3 1)L
A particle executes SHM in a straight line. In the first second starting from rest it travels 'a' distance a and in the next second a distance 'b' in the same direction. The amplitude of S.H.M will be (A)
2a2 3a b
(B) a b
(C) 2a b
(D) a / b
Space for Rough Work
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 Website : www.resonance.ac.in | E-mail :
[email protected] Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
JRPT4271215C0-3
PHYSICS
PHYSICS
9.
A particle is moving with velocity v ˆi 3ˆj and it produces an electric field at a point given by E 2kˆ . It will produce magnetic field at that point equal to (all quantities are in S.. units and speed of light is c) (A)
6iˆ 2ˆj c2
(C) zero
10.
(B)
6iˆ 2ˆj c2
(D) can not be determined from the given data
If the magnetic field at 'P' can be written as K tan then K is : 2
(A)
0 4d
(B)
(C)
0 d
(D)
0 2d 20 d
Space for Rough Work
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 Website : www.resonance.ac.in | E-mail :
[email protected] Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
JRPT4271215C0-4
PHYSICS
PHYSICS
SECTION – 2 : (Maximum Marks : 56)
This section contains FOURTEEN questions
Each question has FOUR options (A), (B), (C) and (D). ONE OR MORE THAN ONE of these four option(s) is(are) correct
For each question, darken the bubble(s) corresponding to all the correct option(s) in the ORS
Marking scheme : +4 If only the bubble(s) corresponding to all the correct option(s) is(are) darkened 0 If none of the bubbles is darkened –1 In all other cases
11.
A rod of length 0.3 m having variable linear mass density from A to B as = 0x(x is distance from A in meter), where 0 = 100 kg/m2 is suspended by two light wires of same length. Ratio of their linear mass density is 2 : 9. Then which of the following is/are correct :
(A) Ratio of wave speed in wire–1 to wire–2 is 3 : 2 (B) Ratio of wave speed in wire–1 to wire–2 is 3 : 1 (C) Second harmonic in wire–1 has same frequency as third harmonic in wire–2 (D) Third overtone in wire–1 has same frequency as fifth overtone in wire–2
Space for Rough Work
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 Website : www.resonance.ac.in | E-mail :
[email protected] Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
JRPT4271215C0-5
PHYSICS
PHYSICS
12.
y-x curve at an instant for a wave travelling along x axis on a string is shown. Slope at the point A on the curve, as shown, is 53°.
y 53° A
x
(A) Transverse velocity of the particle at point A is positive if the wave is travelling along positive x axis. (B) Transverse velocity of the particle at point A is positive if the wave is travelling along negative x axis. (C) Magnitude of transverse velocity of the particle at point A is greater than wave speed. (D) Magnitude of transverse velocity of the particle at point A is lesser than wave speed. 13.
A particle is moving along x-axis. Its position 'x' varies with time 't' as follows x = A + A(1 – cost) Then select the correct alternatives : (A) particle is doing SHM between point x = 2A and x = A (B) the speed of particle is maximum at x = 2A (C) time taken by particle from x = A to directly x = 3A is
(D) time taken by particle from x= A to directly x = 2A is
2
Space for Rough Work
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 Website : www.resonance.ac.in | E-mail :
[email protected] Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
JRPT4271215C0-6
PHYSICS
PHYSICS
14.
Consider a spring that exerts the following restoring force : F = –kx for x>0 F = –4kx for x f > f2
(C) medium moves, source at rest, O1,O2 at rest
(R)
1 = 2 =
(D) medium moves source moves, O1 , O2 at rest
(S)
1 > > 2
Space for Rough Work
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005 Website : www.resonance.ac.in | E-mail :
[email protected] Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029
JRPT4271215C0-17
PHYSICS
PHYSICS
SECTION – 5 : (Maximum Marks : 32)
This section contains TWELVE questions There are 12 Questions & you have to attempt any 8 Questions. If a student attempts more than 8 questions, then only first 8 questions which he has attempted will be checked. The answer to each question is a SINGLE DIGIT INTEGER ranging from 0 to 9, both inclusive For each question, darken the bubble corresponding to the correct integer in the ORS Marking scheme : +4 If the bubble corresponding to the answer is darkened 0 If none of the bubbles is darkened –2 In all other cases
33.
A particle is executing SHM on a straight line. A and B are two points at which its velocity is zero. It
passes through a certain point P (AP
