IIT JEE Model Questions

Ques

A flywheel is attached to an engine to

 a) Decrease its speed

b)  Decrease its energy

c)  Increase its speed

d)  Help in overcoming the dead point 

Ques

The dimensions of angular momentum are

 a) [ML2T]

b) [ML2T – 1]

c) [ML2T- 2]

d) [MLT- 2] 

Ques

The direction of angular velocity vector is along 

a) The outward radius

b) The axis of rotation

c) The tangent to the circular path

d) The inward radius 

Ques

A small object of uniform density rolls up a curved surface with an initial velocity v’. If reaches up to a maximum height of3v2 with respect to the initial position. 

a) T=0.25s

b) T=0.5s

c) T=2s

d) T=1s 

Ques

The angular velocity of a body changes forms 1 rev/sec to 16 rev/sec. Without applying any external torque. The ratio of its radius of gyration in the two cases is: 

a) 1:16

b) 4: 1

c) 16:1

d) 1:4 

Ques

In pyrrole,

pastedGraphic.png

the electron density is maximum on ________.

a) 2 and 4

b) 2 and 3

c) 3 and 4

d) 2 and 5

Ques

The most stable resonating structure of p –  nitrosobenzene is:

a) pastedGraphic.png   b) pastedGraphic_1.png

c) pastedGraphic_2.png    d) pastedGraphic_3.png

Ques

Find out stability order of following compounds:

pastedGraphic.png

a) Y > Z > X

b) X > Y > Z

c) Z > Y > X

d) Z > X > Y

Ques

In which of the following pairs is the structure on the right major resonance contributor?

a) pastedGraphic.png

b) pastedGraphic_1.png

c) pastedGraphic_2.png

d) pastedGraphic_3.png

Ques

Find the correct order of stability for the C = C bonds in the given compound.

pastedGraphic.png

a) a > b > c

b) b > a> c

c) c > a> b

d) c > b > a

Ques

Which of the following anions is most stabilised?

a) pastedGraphic.png

b) pastedGraphic_1.png

c) All have same stability

d) pastedGraphic_2.png

Ques

The induced emf can be produced in a coil by

A. moving the coil with uniform speed inside uniform magnetic field

B. moving the coil with non uniform speed inside uniform magnetic field

C. rotating the coil inside the uniform magnetic field

D. changing the area of the coil inside the uniform magnetic field

Choose the correct answer from the options given below :

(1) B and D only

(2) C and D only

(3) B and C only

(4) A and C only

Ques

A steel rod bas a radius of 20 mm and a length of 2.0 m. A force of 62.8 kN stretches it along its length. Young’s

modulus of steel is 2.0 × 1011 N/m2 . The longitudinal strain produced in the wire is _______ × 10-5

Ques

The length of a metallic wire is increased by 20% and its area of cross section is reduced by 4%. The percentage

change in resistance of the metallic wire is ______

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