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FAST | Fibonacci Admission cum Scholarship Test | Mar 19 | Free Registration | scholarship upto 100%

00:57

By what factor does the average velocity of a gaseous molecule (in kelvin) is doubled?

02:11

Two gases A and B having the same volume diffuse through a porous partition in 20 and 10s

01:12

A gaseous mixture was prepared by taking equal moles of CO and N2. If the total pressure of the

02:08

50 mL of each gas A and of gas B takes 150 and 200 s respectively for effusing through a pin hole

02:21

The domain of the function

03:07

The domain of the definition of the function

06:20

The inverse function of

04:33

If g(x) = x2 + x -1 and (gof)(x) = 4x2 – 10x + 5, then f (𝟓/𝟒) is equal to

04:10

The inverse of y = 5 logx is

05:25

The value of the integral, where [x] denotes the greatest integer less than or equal to x, is:

04:18

The probability that two randomly selected subsets of the set {1,2,3,4,5} have exactly two elements

04:49

A possible value of 𝐭𝐚𝐧(𝟏/𝟒 〖𝒔𝒊𝒏〗^(−𝟏) √𝟔𝟑/𝟖) is:

05:51

Let f be a twice differentiable function defined on R such that f (0) = 1, f’ (0) = 2 and

01:44

Which of the following potential energy (PE) diagrams represents the SN 1 reaction?

01:23

The major product ′Y ′in the following reaction is:

01:39

Which of the following is likely to give a precipitate with AgNO3​ solution?

02:19

Heating of 2-chloro-1-phenylbutane with EtOK/EtOH gives X as the major product. Reaction of X

01:56

The major product in the following conversion is

01:19

The major product of the following reaction is

02:20

The increasing order of reactivity of the following halides for the SN1 reaction

02:06

2-chloro-2-methylpentane on reaction with sodium methoxide in methanol yields

03:41

A 6 volt battery is connected to the terminals of a three metre long wire of uniform thickness and

02:43

The electric resistance of a certain wire of iron is R. If its length and radius are both doubled

03:14

A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific

01:56

If flow of 10 to the power 7 electrons per second in a conducting wire constitutes a current of

03:01

The resistance if a wire is 'R' ohm. If it is melted and stretched to 'n' times its original length

02:10

A wire of resistance 4 ohm is stretched to twice its original length. The resistance of stretched

01:50

The acceleration displacement graph of a particle executing simple harmonic motion is shown in

07:21

Two particles undergo SHM along parallel lines with the same time period (T) and equal amplitudes.

02:21

In the figure all springs are identical having spring constant k each. The block also has mass m.

04:12

The spring block system as shown in figure is in equilibrium. The string connecting blocks A and B

04:45

A horizontal spring-block system of mass 2 kg executes S.H.M. When the block is passing through

06:47

A solid sphere of mass M and radius r slips on a rough horizontal plane. At some instant it

05:06

A car moves with speed v on a horizontal circular track of radius R. A head-on view of the car

02:26

A cylinder is rolling without sliding over two horizontal planks (surface) 1 and 2.If the velocities

03:41

Two identical discs of mass m and radius r are arranged as shown in the figure.

04:07

A uniform pole of length L and mass M is pivoted on the ground with a frictionless hinge O.

04:59

Differential Equations

04:29

Let the plane ax + by + cz + d = 0 bisect the line joining the points (4, -3, 1) and (2, 3, -5) at

02:26

The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years

01:45

The missing value in the following figure is ----------.

03:30

Let z1 , z2 be the roots of the equation z2 + az + 12 = 0 and z1 , z2 form an equilateral triangle

03:01

The real function f(x) = (〖𝒄𝒐𝒔𝒆𝒄〗^(−𝟏) 𝒙)/√(𝒙−[𝒙] ) where [x] denotes the greatest integer

03:49

A vector 𝒂 ⃗ has components 3p and 1 with respect to a rectangular Cartesian system. This system

02:52

For the four circles M,N, O and P, following four equations are given

04:45

Matrices

02:25

If the equation a|z|2 + ¯(¯𝜶 𝒛+𝜶¯𝒛)+𝒅=𝟎 represents a circle where a, d are real constants, then

05:09

In the experiment of Wheatstone’s bridge, the positions of cells and galvanometer are interchanged,

01:44

In the diagram shown, the reading of voltmeter is 20V and that of ammeter is 4A. The value of

03:36

An infinitely long straight conductor is bent into the shape as shown in the figure. It carries a

01:32

A straight section PQ of a circuit lies along the X-axis from x = − 𝒂/𝟐 to x = 𝒂/𝟐 and carries a

02:23

A solenoid of 1.5 metre length and 4.0 cm diameter possess 10 turn per cm. A current of 5 ampere

02:34

In an ideal metre-bridge, the balancing length form the left end when standard resistance of 1Ω

05:01

The magnitude of the magnetic field (in μT) at the center of an equilateral triangular loop of side

04:34

A particle having the same charge as of electron moves in a circular path of radius 0.5 cm under

01:01

A potentiometer is used for the comparison of e.m.f. of two cells E1 and E2. For cell E1 the no

05:21

A Daniel cell is balanced on 125cm length of a potentiometer wire. Now the cell is short-circuited

02:52

A light bulb, a capacitor and a battery are connected together as shown here, with switch S

01:55

In the circuit here, the steady state voltage across capacitor C is a fraction of the battery