JEE 2020: Weekly Quiz 28 (15.09.2019) for JEE & BITSAT Exams

Question 1

The focus of parabola (y – 8)² = 12x is?

Question 2

The angle between the tangents drawn from the point (1, 4) to the parabola y² = 4x, is

Question 3

The common tangent of two parabolas y = x² and y = x² – 2x + 2 is –

Question 4

A point P(3, 0) lies on a parabola, whose axis is 4x + 3y = 0 and tangent at vertex is 3x – 4y = 5. The distance between the focus and directrix is –

Question 5

Parametric form of the hyperbola

–

= – 1 is -

Question 6

The number of possible tangents which can be drawn to the curve 4x² – 9y² = 36, which are perpendicular to the straight line 5x + 2y – 10 = 0 is -

Question 7

Equations of directrices for the hyperbola xy =

are -

Question 8

If ax + by = 1 is tangent to the hyperbola

= 1, then a² – b² equals to

Question 9

The equation of the hyperbola with Foci

passing through (2, 3)

Question 10

The equation of the hyperbola with Foci

the conjugate axis is of length 24

Question 11

The product of following reaction is

Question 12

The C of the carbonyl compound is _____ and forms a bond with ______

Question 13

The reduction of benzoyl chloride with Pd and BaSO₄/CaCO₃ produces

Question 14

The following reaction gives:

Question 15

Diaryl ketones are the compounds in which carbonyl groups

Question 16

A liquid was mixed with ethanol and a drop of concentrated sulfuric acid was added. A compound with a fruity smell was formed. The liquid was-

Question 17

The oleum used for the sulphonation of benzene is actually a mixture of

Question 18

The acidic strength of methoxyphenols decreases in the order

Question 19

Tertiary alcohols when passed over heated copper at 573K produce

Question 20

The acidity of different cresols decreases in the order

Question 21

When the current changes from +2 A to −2 A in 0.05 second, an e.m.f. of 8 V is induced in a coil. The coefficient of self-induction of the coil is

Question 22

A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. When a current is passed through the coil it starts oscillating; it is very difficult to stop. But if an aluminium plate is placed near to the coil, is stops. This is due to

Question 23

When the current in the portion of the circuit shown in the figure is 2A and increasing at the rate of 1 A/s, the measured potential difference V_ab = 8V. However, when the current is 2A and decreasing at the rate of 1 A/s, the measured potential difference V_ab = 4V. The values of R and L are-

Question 24

Shown in the figure is a circular loop of radius r and resistance R. A variable magnetic field of induction B = B₀e^–t is established inside the coil. If the key (K) is closed, the electrical power developed right after closing the switch is equal to
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Question 25

Two inductor coils of self inductance 3H and 6H respectively are connected with a resistance 10 Ω and a battery 10 V as shown in figure. The ratio of total energy stored in the inductors to that of heat developed in resistance in 10 seconds at the steady state is-

Question 26

A conductor AB can slide freely on two long parallel horizontal smooth wires separated by 1 meter. The two wires are connected to the terminals of a 5 volt battery. There is a uniform magnetic field of induction 0.1 wb/m² acting vertically downward (into the paper normally). Find the terminal velocity of AB.

Question 27

The phase difference between the flux linkage and the induced e.m.f. in a rotating coil in a uniform magnetic field

Question 28

Two coils P and Q are placed co-axially and carry current I and I' respectively

Question 29

A small square loop of wire of side l is placed inside a large square loop of wire of side L (L > l). The loop are coplanar and their centre coincide. The mutual inductance of the system is proportional to

Question 30

A wire of length 1 m is moving at a speed of 2ms^–1 perpendicular to its length and a homogeneous magnetic field of 0.5 T. The ends of the wire are joined to a circuit of resistance 6 W. The rate at which work is being done to keep the wire moving at constant speed is