PW REAL Test 1 - Class 11 JEE MAINS

The velocity-position graph of a particle moving in a straight line along x-axis is given below. Acceleration of particle at x = 2m is

• 8 m/s²

• 16 m/s²

• 64 m/s²

• 32 m/s²

At t = 0 a block starts moving on a horizontal plane under the influence of horizonal acceleration a. After t₀ second, the acceleration remains the same in magnitude but reverses in direction and then after remains constant. At what time t does it come back to the initial point?

• √2t₀

• 2t₀

• (2-√2)t₀

• (2+√2)t₀

A large wooden raft is flowing with a river stream flowing along a straight line. A man on the raft dives into river and swims down the stream for 15 minutes and then he turns about and comes back to the raft. The swimming speed of man is 5 km/h in still water and the river is flowing with speed 4 km/h. The distance moved by the raft till the man comes back to raft is

• 1 km

• 2 km

• 3 km

• 4 km

Match the following. It is known that electric potential is work done per unit charge, capacitance is charge per unit electric potential and [inductance][current]² = [work done].

• 1

• 2

• 3

• 4

A particle moving along x-axis has acceleration f,

at time t, given by f = f₀(1-(t/T)) where f₀ and T are constants. The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0, the change in particle's velocity (vₓ) is

• 1/2 (f₀T²)

• (f₀T²)

• 1/2 (f₀T)

• (f₀T)

Answer the question given in the image

• Option 1

• Option 2

• Option 3

• Option 4

Which one of the following pairs of formulae correctly describes the molecular formula- empirical formula relationship?

• C₃H₆O, CH₂O

• C₄H₈O₂, C₂H₄O

• C₄H₁₂O₂, C₂H₃O

• C₂H₆, CH₂

The number of elements in A ∩ B if

A = {(a, b) : a²+3b²=28,a,b ∈ ℤ}

B = {(a, b) : a>b,a,b ∈ ℤ} and ℤ denotes the set of all integers, is

• 12

• 10

• 8

• 6

If x = sin 130° cos 80°, y = sin 80° cos 130°, z = 1 + xy, which of the following is true?

• x > 0, y > 0, z > 0

• x > 0, y < 0, 0 < z < 1

• x > 0, y < 0, z > 1

• x < 0, y < 0, z < 1

If Aɴ = {ax : x ∈ N} and 15ɴ∩6ɴ = Dɴ then least value of D is

• 30

• 11

• 10

• 15