JEE Main Class XI Weekly Mock 20 for JEE & BITSAT Exams

Question 1

The group of heterocyclic compounds is;

Question 2

Suggest the correct IUPAC name of the compond -

Question 3

A solution of (+) – 1-chloro-1-phenylethane in toluene racemises slowly in the presence of a small amount of SbCl₅ due to the formation of

Question 4

CH₃CH = CH₂ product X
X is -

Question 5

BrCH₂–CH₂–CH₂Br reacts with Na in the presence of ether at 100 ºC to produce -

Question 6

Radius of a conductor increases uniformly from left end to right end as shown if figure. Material of the conductor is isotropic and its curved surface is thermally isolated from surrounding. Its ends are maintained at temperatures T₁ and T₂ (T₁>T₂).

If, in steady state, heat flow rate is equal to H, then which of the following graphs is correct–

Question 7

Three rods of the same dimensions have thermal conductivities 3k, 2k and k. They are arranged as shown, with their ends at 100 °C, 50 °C and 0 °C. The temperature of their junction is –

Question 8

Heat is flowing through a conductor of length λ from x = 0 to x = λ. If its thermal resistance per unit length is uniform, which of the following graphs is/are correct –

Question 9

One end of a metal rod is dipped in boiling water and the other is dipped in melting ice.

Question 10

Two spheres of different materials one with double the radius and one-fourth wall thickness of the other, are filled with same amount of ice. If the time taken for complete melting ice in the large radius one is 25 minutes and that for smaller one is 16 minutes, the ratio of thermal conductivities of the materials of larger sphere to the smaller sphere is –

Question 11

If x cos α + y sin α = p, a variable chord of the hyperbola

= 1 subtends a right angle at the centre of the hyperbola, then the chords touch a fixed circle whose radius is equal to -

Question 12

The equation of the hyperbola whose conjugate axis is 5 and the distance between the foci is 13 is

Question 13

If a ray incident on rectangular hyperbola xy =

along y = x then equation of reflected ray will be -

Question 14

If the normal at P to the rectangular hyperbola x² – y² = 4 meets the axis in G and g and C is centre of the hyperbola, then -

Question 15

The asymptotes of a hyperbola are parallel to 2x + 3y = 0 and 3x + 2y = 0. Its centre is (4, 2) and hyperbola pass through (5, 3). Then its equation is -