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JEE Quiz - Saarthi

Total questions: 60

Worksheet time: 2hrs 44mins

Name
Class
Date
1.
None
a)

A

b)

B

c)

C

d)

D

2.
None
a)

A

b)

B

c)

C

d)

D

3.
None
a)

A

b)

B

c)

C

d)

D

4.
None
a)

A

b)

B

c)

C

d)

D

5.
None
a)

A

b)

B

c)

C

d)

D

6.
None
a)

1

b)

2

c)

3

d)

4

7.
None
a)

1

b)

2

c)

3

d)

4

8.
None
a)

1

b)

2

c)

3

d)

4

9.
None
a)

A

b)

B

c)

C

d)

D

10.
None
a)

A

b)

B

c)

C

d)

D

11.
How many bridging carbonyls in Mn2(CO)10?
a)
0
b)
1
c)
2
d)
3
12.
How many stereoisomers are possible for 1,2 dimethyl cyclopropane?
a)
1
b)
2
c)
3
d)
4
13.
The entropy change (J k^-1mol^-1)involved in the isothermal reversible expansion of 2 moles of an ideal gas from a volume of 10 dm3 to a volume of 100 dm3 at 27°C is
a)
42.3
b)
32.3
c)
38.3
d)
35.8
14.
None
a)

a

b)

b

c)

c

d)

d

15.
None
a)

a

b)

b

c)

c

d)

d

16.
None
a)

a

b)

b

c)

c

d)

d

17.
None
a)

a

b)

b

c)

c

d)

d

18.
None
a)

a

b)

b

c)

c

d)

d

19.
At 5180 C, the rate of decomposition of a sample of gaseous acetaldehyde, initially at a pressure of 363 Torr, was 1.00 s-1 when 5% had reacted and 0.5 Torr s-1 when 33% had reacted. The order of the reaction is :
a)
0
b)
1
c)
2
d)
3
20.
The half-life period of a first-order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2 = 0.301):
a)
460.6
b)
230.3
c)
23.03
d)
46.06
21.
None
a)

1

b)

2

c)

3

d)

4

22.
None
a)

A

b)

B

c)

C

d)

D

23.
None
a)

A

b)

B

c)

C

d)

D

24.
None
a)

A

b)

B

c)

C

d)

D

25.
None
a)

A

b)

B

c)

C

d)

D

26.
5- digit numbers are to be formed using 2, 3, 5, 7, 9 without pepeating the digits. If p be the number of such numbers that exceed 20000 and q be the number of those that lie between 30000 and 90000, then p:q is :
a)
0.2534722222222222
b)
0.16874999999999998
c)
0.21041666666666667
d)
0.12638888888888888
27.
If the image of point P(2, 3) in a line L is Q(4, 5) then the image of point R(0, 0) in the same line is
a)
(4,5)
b)
(2,2)
c)
(3,4)
d)
(7,7)
28.
A common tangent to the conics x^2=6y and 2x^2 −4y^2 =9 is :
a)
x+y=9/2
b)
x+y=1
c)
x-y=3/2
d)
x-y=1
29.
In a set of 2n observations, half of them are equal to 'α' and the remaining half are equal to '−α'. If the standard deviation of all the observations is 2, then the value of ∣α∣ is equal to
a)
4
b)
√2
c)
2
d)
2√2
30.
Events A,B,C are mutually exclusive events such that P(A)= (3x+1)/3 , and P(B)= (1−x)/4 , and P(C)=(1−2x)/2 . The set of possible values of x is in the interval
a)
[1/3,2/3]
b)
[0,1]
c)
[-7/9,4/9]
d)
[1/3,1/2]
31.
None
a)

[7,18)

b)

(-18,7]

c)

[-7,18)

d)

None of these

32.

None

(a)  

33.
None
a)

A

b)

B

c)

C

d)

D

34.
None
a)

A

b)

B

c)

C

d)

D

35.
None
a)

A

b)

B

c)

C

d)

D

36.
None
a)

a

b)

b

c)

c

d)

d

37.
If a+bx/a-bx=b+cx/b-cx=c+dx/c-dx (x not equal to zero), then a,b,c,d are in
a)

AP

b)

GP

c)

HP

d)

None of these

38.
If all the roots of z^3 +az^2 +bz+c=0 are of unit modulus, then
a)

Modulus of a is less than or equal to 3

b)

modulus of b is greater than 3

c)

modulus of c is less than or equal to 3

d)

None of these

39.
None
a)

1

b)

2

c)

3

d)

4

40.
None
a)

1

b)

2

c)

3

d)

4

41.

A car's engine can deliver 90kW of power. The car's mass is 1000kg. Assume the total resistive force is proportional to the velocity: F[friction] = αv. The drag coefficient a is α = 100Ns/m. Car can maintain on a level road a maximum speed of (a)   m/s?

42.

Two blocks A and B of masses m and 2m, respectively are connected by a spring of force constant k. Them masses are moving to the right with uniform velocity ν each, the heavier mass leading the lighter one. The spring is in the natural length during this motion. Block B collides head-on with a third block C of mass 2m, at rest, the collision is completely inelastic. Calculate the maximum compression of the spring in centimeter.[m=1kg, k= 500N/m, v=5m/s]

(a)  

43.
A convex lens of focal length 20 cm produces images of the same magnification 2 when an object is kept at two distances x 1 and x 2 ( x 1 > x 2 ) from the lens. The ratio of x 1 and x 2 is-
a)

5:3

b)

2:1

c)

3:1

d)

4:3

44.

The peak electric field produced by the radiation coming from the 8 W bulb at a distance of 10 m is x /10 (√(( μ 0 c ))/π) V/m . The efficiency of the bulb is 10% and it is a point source. The value of x is (a)   .

45.

At a certain temperature, the degrees of freedom per molecule for gas is 8. The gas performs 150 J of work when it expands under constant pressure. The amount of heat absorbed by the gas will be (a)   J.

46.

A particle of mass 200 MeV/c2 collides with a hydrogen atom at rest. Soon after the collision the particle comes to rest, and the atom recoils and goes to its first excited state. The initial kinetic energy of the particle (in eV) is N/4 . The value of N is : (Given the mass of the hydrogen atom to be 1 GeV/c2) (a)   .

47.

A circular disc of mass M and radius R is rotating about its axis with angular speed w1 . If another stationary disc having radius R/2 and same mass M is droped co-axially on to the rotating disc. Gradually both discs attain constant angular speed W2 the energy lost in the process is p% of the initial energy. Value of p is (a)   .

48.
A solid sphere, of radius R acquires a terminal velocity v1 when falling (due to gravity) through a viscous fluid having a coefficient of viscosity . The sphere is broken into 27 identical solid spheres. If each of these spheres acquires a terminal velocity, v2, when falling through the same fluid, the ratio (v1/v2) equals :
a)
45170
b)
46388
c)
27
d)
9
49.

An amplitude modulated wave is represented by Cm (t)=10( 1 + 0.2 cos12560t) sin(111 * (10 ^ 4)t). The modulating frequency in kHz will be:

(a)  

50.
A hollow conducting sphere of radius R and total charge q rotates about its diametrical axis with constant angular speed ω . The magnitude of magnetic moment of the sphere is :
a)
(1/3)qR ^2 ω
b)
(2/3)qR^2ω
c)
(1/5)qR^2ω
d)
(2/5)qR^2ω
51.

Two ideal diodes are connected in the network as shown in figure. The equivalent resistance between A and B is (a)   Ω .

52.
Sun light falls normally on a surface of area 36 cm^2 and exerts an average force of 7.2 × 10^(−9) N within a time period of 20 minutes. Considering a case of complete absorption, the energy flux of incident light is
a)
25.92 *10^2 W cm^-2
b)
8.64*10^6 W cm^-2
c)
6 W cm^-2
d)
0.06W cm^-2
53.
In an experiment a convex lens of focal length 15 cm is placed coaxially on an optical bench in front of a convex mirror at a distance of 5 cm from it. It is found that an object and its image coincide, if the object is placed at a distance of 20 cm from the lens. The focal length of the convex mirror is:
a)
27.5cm
b)
30cm
c)
25cm
d)
32.5cm
54.
Two coils of self inductance L, and L_{2} are connected in series combination having mutual inductance of the coils as M. The equivalent self inductance of the combination will be:
a)

1/L1 + 1/L2 + 1/M

b)

L1 + L2+ M

c)

L1 + L2+ 2M

d)

L1 + L2- 2 M

55.
Two waves having wavelengths 4.08,4.16 produce 40 beats in 12 sec. find velocity in medium uce 40 beats in 12 sec. bests in 12 sec.uces
a)
70 m/s
b)
50 m/s
c)
707 m/s
d)
305 m/s
56.
work function of metal is 6.63*10^(19) J , then the maximum wavelength to remove photoelectrons from metal in nm
a)
100nm
b)
300nm
c)
400nm
d)
600nm
57.
A pendulum of length 250cm is released from rest when string makes angle of 60 degree with vertical. find its maximum velocity?
a)
2 m/s
b)
3 m/s
c)
5 m/s
d)
6 m/s
58.
None
a)

4 N

b)

8 N

c)

12 N

d)

16 N

59.
None
a)

8 m/s

b)

12 m/s

c)

16 m/s

d)

10 m/s

60.
None
a)

1

b)

2

c)

3

d)

4

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