UGEE SUPR Mock Test-1 - JEE MCQ

A coil of inductance 0.20 H is connected in series with a switch and a cell of emf 1.6 V. The total resistance of the current is 4.0Ω. What is the initial rate of growth of the current when the switch is closed?

Mass of the earth is 81 times the mass of the moon and the distance between the earth and moon is 60 times the radius of the earth. If R is the radius of the earth, then the distance between the moon and the point on the line joining the moon and earth where the gravitational force becomes zero is

A magnet of magnetic moment M and length 2l is bent at its mid-point such that the angle of bending is 60°. Now, the magnetic moment is

Three identical uniform rods of the same mass M and length L are arranged in xy plane as shown in the figure. A fourth uniform rod of mass 3 M has been placed as shown in the xy plane. What should be the value of the length of the fourth rod such that the centre of mass of all the four rods lie at the origin?

A metallic wire with tension T and at temperature 30°C vibrates with its fundamental frequency of 1 kHz. The same wire with the same tension but at 10°C temperature vibrates with a fundamental frequency of 1.001 kHz. The coefficient of linear expansion of the wire is

For a gas, the difference between the two specific heats at constant pressure and constant volume is 4150 J kg^-1 K^-1 and their ratio is 1.4. What is the specific heat of the gas at constant volume in units of J kg^-1 k^-1?

Among the following pairs, which one does not have identical dimensions?

When the electron in the hydrogen atom jumps from the fourth Bohr orbit to the second Bohr orbit, one gets the

In U.C.M, when time interval δt → 0, the angle between change in velocity (δv) and linear velocity (v) will be

A particle is performing a linear simple harmonic motion of amplitude 'A'. When it is midway between its mean and extreme position, the magnitudes of its velocity and acceleration are equal. What is the periodic time of the motion?

Three point masses each of mass ‘m’ are kept at the corners of an equilateral triangle of side ‘L’. The system rotates about the center of the triangle without any change in the separation of masses during rotation. The period of rotation is directly proportional to (cos 30⁰ = sin60⁰ √3/2)

How many moles of magnesium phosphate, Mg₃ (PO₄)₂ will contain 0.25 mole of oxygen atoms?

When an electron is added to neutral gaseous atom to convert it into a negative ion, the enthalpy change accompanying the process is called:

For emission line of atomic hydrogen from ni to n_f = 8, the plot of wave number against is:

(The Rydberg constant, RH is in wave number unit).

Two pi and half sigma bonds are present in:

Adsorption of a gas follows Freundlich adsorption isotherm. In the given plot, x is the mass of the gas adsorbed on mass m of the adsorbent at pressure p. x/m is proportional to

The total number of isotopes of hydrogen and number of radioactive isotopes among them, respectively, are:

0.5 moles of gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume 10 m³ at 1000 K. given R is the gas constant in JK^-1 mol^-1 m, x is :

In general, the properties that decrease and increase down a group in the periodic table, respectively, are:

Phenyl diazonium salts form azo dye with

(1) Aniline

(2) Phenol

(3) N, N–dimethylaniline

(4) Anisole (methoxybenzene)

Of these statements :

Low spin complex is formed by

Which of the following hybridization pattern best describes the carbon atom in NCO⁻?

Let a, b and c be such that b(a + c) ≠ 0. If , then the value of n is

Find .

If a₁, a₂, a₃,....,a₂₀ are the arithmetic means between 13 and 67, then the maximum value of the product a₁⋅a₂⋅a₃⋅....a₂₀ is

The locus of the mid point of the line segment joining the focus to a moving point on the parabola y² = 4ax is another parabola with directrix

The length of the diameter of the circle which touches the X-axis at the point (1, 0) and passes through the point (2, 3) is