JEE Main Mock 73 for JEE & BITSAT Exams

Question 1

Compound A when reacted with PCl5 and then with ammonia gave B. B when treated with bromine and caustic potash produced C. C on treatment with HCl and NaNO2 at 0 ºC and then boiling produced ortho- cresol. Compound A is–

Question 2

+ NH₂– OH A

B. Here B is–

Question 3

Oxalic acid + A →
A B. What is B?

Question 4

(CH₃)₂C = C (CH₃)₂

A

B

Question 5

A horizontal plane supports a fixed vertical cylinder of radius R and a particle is attached to the cylinder by a horizontal thread AB as shown in figure. A horizontal velocity v₀ is imparted to the particle, normal to the thread, during subsequent motion–

Question 6

A rod of mass M kg and length L metre is bent in the form of an equilateral triangle as shown in the figure. The moment of inertia of triangle about a vertical axis, perpendicular to the plane of triangle and passing through the centre (in units of kg-m²) is–

Question 7

A rigid body is made of three identical thin rods fastened together in the form of a letter H. The body is free to rotate about a horizontal axis that passes through one of the legs of H. The body is allowed to fall from rest from a position in which the plane of the H is horizontal. Then the angular speed of the body when the plane of the H is vertical is -

Question 8

2n identical cubical blocks are kept in a straight line on a horizontal smooth surface. The distance between the consecutive blocks in same. The blocks 1, 3, 5,.....(2n – 1) are given velocity v to the right whereas blocks 2, 4, 6,......2n are given velocity to the left. All collisions between blocks are perfect elastic. The total number of collisions that will take place is –

Question 9

If α is non-real and α = then the value of

is equal to-

Question 10

The value of

is-

Question 11

The value of the expression 1. (2 – ω) . (2 – ω²) + 2 . (3 – ω) (3 – ω²) + ....... + (n – 1) (n – ω) (n – ω²), where ω is an imaginary cube root of unity is-

Question 12

(–64)^1/4 equals-