JEE Main Test 1...

The aperture of the objective lens of a telescope is made large so as to

A line makes the same angle θ with each of the X and Z - axes. If it makes the angle β with Y - axis such that sin² β = 3 sin²θ, then cos² θ equals

A vector perpendicular to the plane containing the points A(1, -1, 2), B(2, 0, -1) and C(0, 2, 1) is

If α and β are the collector emitter short circuit current amplification factor and collector base short circuit current amplification factor respectively of a transistor then α is equal to

It is given that the events A and B are such that P(A) = 1/4, P(A/B) = 1/2 and P(B/A) = 2/3. Then, P(B) is equal to

Two elements A and B with atomic numbers Z_A and Z_B are used to produce characteristic, X-rays, with frequencies v_A and v_B respectively. If Z_A : Z_B = 1 : 2 , then v_A : v_B will be

Which of the following is a possible nuclear reaction ?

An organic compound A upon reacting with NH₃ gives B . On heating , B gives C . C in the presence of KOH reacts with Br₂ to give CH₃CH₂NH₂. A is

With reference to the scheme given, which of the given statement (s) about T, U ,V and W is (are) correct?