JEE Advanced & Main: Hard Question Bank
Physics
1. A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of angle θ. What is the
minimum coefficient of static friction μs required?
(A) 1/3 tan(θ)
(B) 2/3 tan(θ)
(C) 1/2 tan(θ)
(D) tan(θ)
2. In a Young's Double Slit Experiment (YDSE), the slit separation is d and the distance to the screen is D. A glass
slab of thickness t and refractive index μ is introduced in front of one of the slits. The central maximum shifts by:
(A) (D/d)(μ - 1)t
(B) (d/D)(μ - 1)t
(C) (D/d)(μ)t
(D) (D/d)((μ - 1)/μ)t
3. A particle is projected from the ground with a velocity u at an angle θ with the horizontal. The average velocity
of the particle between its point of projection and the highest point of its trajectory is:
(A) (u/2)√(1 + 3cos²θ)
(B) (u/2)√(1 + 2cos²θ)
(C) (u/2)√(1 + cos²θ)
(D) u cosθ
Chemistry
4. The total number of stereoisomers for the complex ion [Co(en)2Cl2]+ is:
(A) 1
(B) 2
(C) 3
(D) 4
Physics
1. A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of angle θ. What is the
minimum coefficient of static friction μs required?
(A) 1/3 tan(θ)
(B) 2/3 tan(θ)
(C) 1/2 tan(θ)
(D) tan(θ)
2. In a Young's Double Slit Experiment (YDSE), the slit separation is d and the distance to the screen is D. A glass
slab of thickness t and refractive index μ is introduced in front of one of the slits. The central maximum shifts by:
(A) (D/d)(μ - 1)t
(B) (d/D)(μ - 1)t
(C) (D/d)(μ)t
(D) (D/d)((μ - 1)/μ)t
3. A particle is projected from the ground with a velocity u at an angle θ with the horizontal. The average velocity
of the particle between its point of projection and the highest point of its trajectory is:
(A) (u/2)√(1 + 3cos²θ)
(B) (u/2)√(1 + 2cos²θ)
(C) (u/2)√(1 + cos²θ)
(D) u cosθ
Chemistry
4. The total number of stereoisomers for the complex ion [Co(en)2Cl2]+ is:
(A) 1
(B) 2
(C) 3
(D) 4
