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?

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

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].

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

Answer the question given in the image

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

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

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

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

If a cos³A + 3a cos A sin²A = m and a sin³A + 3a cos²A sin A = n. Then (m + n)^⅔ + (m – n)^⅔ is equal to

Let ℤ denote the set of integers, then

{x ∈ ℤ : |x-3|<4} ∩ {x ∈ ℤ : |x-4|<5} =

If P, Q are set defined as follows :

P = {(x,y) | y = x³, x ∈ ℝ}

Q = {(x,y) | y =|x|, x ∈ ℝ}

Then correct statement is

Choose the correct option for the question given above

Following sequential reaction is used to prepare NaOH.

4Na + O₂ → 2Na₂O

Na₂O + H₂O → 2 NaOH

The amount of Na required to prepare 16 g of

NaOH is

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