MHT - CET MCQ

Zener breakdown takes place if, ____________.

The following logic circuit is equivalent to ______ 

In figure, the input is across the terminals A and C and the output is across B and D. Then, the output is ____________. 

For which one of the following, Bohr model is not valid?

Which of the following is TRUE?

According to theory of Rutherford atom model, the atom is ____________.

The maximum velocity of the photoelectron emitted by the metal surface is 'v '. Charge and mass of the photoelectron is denoted by 'e' and 'm' respectively. The stopping potential in volt is ______.

Electrical oscillations of desired frequency can be obtained by ______.

The rotating vector that represents a quality varying sinusoidally with time is a ____________.

The coefficient of self-inductance of a solenoid is 0.20 mH. If a core of soft iron of relative permeability 900 is inserted, then the coefficient of self-inductance will become nearly ______

The instantaneous magnetic flux in a circuit is `phi=4t^2-4t+1`. The total resistance of circuit is 15 Ω. At t = 2s, the induced current in circuit is ____________.

The magnetic moment of electrons due to orbital motion is proportional to ______.(n = principal quantum numbers)

The S.I. unit of gyromagnetic ratio is ______

A circular coil 'A' has a radius 'R' and the current flowing through it is I. Another circular coil 'B' has radius 4R and current flowing through it is 4I. The magnetic field at the centre of the circular coil is in the ratio of ______.

The value of magnetic induction will be minimum at a point due to a small current carrying conductor when angle between element and line joining point and centre of element is ____________.

A vertical straight conductor carries a current vertically upwards. A point P lies to the east of it at a small distance and another point Q lies to the west at the same distance. The magnetic field at P is ______

A milliammeter reading from 0 to 50 mA has a resistance of 396 Ω. It is to be used to measure a maximum current of 5 A. This requires ____________.

A potentiometer is an ideal device for measuring potential difference because ______.

In the given circuit, the emf 'E' of the cell is ______.

The surface charge density of an irregular shaped conductor is ____________.

The distance between the first and ninth bright fringes formed in a biprism experiment is ______.(`lambda` = 6000 A, D = 1.0 m, d = 1.2 mm)

Which of the following is not a property of light?

If two tuning forks A and B are sounded together, they produce 4 beats per second. When A is slightly loaded with wax, they produce 2 beats when sounded again. The frequency of A is 256 Hz. The frequency of B will be ______

Above the resonance frequency, ____________.

The kinetic energy of a particle, executing SHM is 16 J, when it is in its mean position. If the amplitude of oscillation is 25 cm and the mass of the particle is 5.12 kg, the time period of its oscillation is ____________.

10 One mole of a van der Waals' gas obeying the equation `("P" + "a"/"V"^2)`(V - b) = RT undergoes the quasi-static cyclic process which is shown in the P-V diagram. The net heat absorbed by the gas in this process is ______
 

Which of the following are TRUE for a reversible isothermal process?

(i) ∆U = 0

(ii) ∆H = 0

(iii) Q = W

(iv) ∆T = 0

A hot and a cold body are kept in vacuum separated from each other. Which of the following causes decrease in temperature of the hot body?

A ring of mass m and radius r rotates about an axis passing through its centre and perpendicular to its plane with angular velocity `omega`. Its kinetic energy is ______.

A soap bubble of radius 2.0 cm is formed inside another soap bubble of radius 4.0 cm. The radius of another soap bubble which has the same pressure difference as that between the inside of the smaller and outside of large soap bubble, in metres is ______

If two identical mercury drops are combined to form a single drop, then its temperature will ____________.

Four solid spheres each of mass M and radius R are placed with their centres on the four comers of a rectangle. If b is a breadth of rectangle and its length is twice of its breadth, then find moment of inertia of the system about an axis along one of the breadth of the rectangle.

The centripetal force of a body moving in a circular path, if speed is made half and radius is made four times the original value, will ____________.

Figure shows two p-n junction diodes along with a resistance R and a dc battery E. The path of flow of appreciable current in the circuit is, 

When a ray of light enters a medium of refractive index µ, then it is observed that the angle of refraction is half the angle of incidence. The value of angle of incidence will be ____________.

Two cars moving in opposite directions approach each other with speed of 22 m/s and 16.5 m/s respectively. The driver of the first car blows a horn having a frequency 400 Hz. The frequency heard by the driver of the second car is [velocity of sound 340 m/s]: ____________.

The ratio of minimum to maximum wavelength in Balmer series is ____________.

One mole of a gas at pressure 2 Pa and temperature 37° C is heated till both pressure and volume are tripled. What is the temperature of the gas?

The force of gravitation between two bodies of mass 1 kg each separated by a distance of 1 m in vacuum is ____________.

In Rutherford experiment, for head-on collision of a-particles with a gold nucleus, the impact parameter is ______.

The ratio of angular speed of a hour-hand to the second-hand of a watch is ____________.

The p.m.f. of an r.v. X is ______

P(x) = `{{:(x^2/"k"";", x = - 4"," - 3"," - 2"," - 1),(0";", "otherwise"):}`

Then, E(X) = ______

Let X = time (in minutes) that lapses between the ringing of the bell at the end of a lecture and the actual time when the professor ends the lecture. Suppose X has p.d.f.

f(x) = `{(kx^2"," 0 ≤ x ≤ 2), (0"," "othenwise"):}`

Then, the probability that the lecture ends within 1 minute of the bell ringing is ______

Particular solution of differential equation `e^{dy/dx} = x:y(1) = 3; x > 0` is ______

The solution of the differential equation `dy/dx = (x - 2y + 1)/(2(x - 2y))` is ______

The area bounded by the curve y = f(x), X-axis and ordinates x = 1 and x = a is (a - 1) cos(2a + 7), then f(x) is ______.

`int_0^{pi/4} (sin2x)/(sin^4x + cos^4x)dx` = ____________

`int (cos x + x sin x)/(x(x + cos x))`dx = ?

`int_0^1 1/(sqrt(3 + 2x - x^2))dx` = ______

`int(5x + 2)/(3x - 4) dx` = ______

The solution of `dx/dy = (ycosy + siny)/(x(2logx + 1))` is ______

If y = `tan^-1((sqrtx + 1)/(sqrtx - 1)) + tan^-1((sqrtx - 1)/(sqrtx + 1))`, then the value of `dy/dx` = ______

The derivative of `sqrt(x^2 + 1)` is

The values of θ satisfying sin7θ = sin4θ - sinθ and 0 < θ < `pi/2` are ______

Equation of plane parallel to ZX-plane and passing through the point (0, 5, 0) is ______

The equation of line is `(x - 1)/2 = (y + 1)/(-2) = (z + 1)/1`. The co-ordinates of the point on the line at a distance of 3 units from the point (1, -1, -1) is ______

The length of the perpendicular from (0, 2, 3) to the line `(x + 3)/5 = (y - 1)/2 = (z + 4)/3` is

P is the point of intersection of the diagonals of the parallelogram ABCD. If O is any point, then `overline"OA" + overline"OB" + overline"OC" + overline"OD"` = ______

L and M are two points with position vectors `2veca - vecb` and `veca + 2vecb` respectively. The position vector of the point N which divides the line segment LM in the ratio 2 : 1 externally is ______

For any vector `overlinex` the value of `(overlinex xx hati)^2 + (overlinex xx hatj)^2 + (overlinex xx hatk)^2` is equal to ______

The XZ plane divides the line segment joining the points (3, 2, b) and (a, -4, 3) in the ratio ______.

In ΔABC, `(sin(B - C))/(sin(B + C))` = ______

In ΔABC, if (a+ b - c)(a + b + c) = 3ab, then ______.

The general solution of sec θ = `sqrt2` is

If AX = B, where A = `[(1, 2, 3), (-1, 1, 2), (1, 2, 4)]` and B = `[(1), (2), (3)]`, then X is equal to ______

The inverse of the statement "If its quality is good. then it is expensive.", is ______

If p : Every natural number is a real number.
q : Every integer is a complex number. Then truth values of p → q and p ↔ q are ______ and ______ respectively.

The value of p and q for which the function

f(x) = `{((sin ("p" + 1)x + sin x)/x"," x < 0),(q "," x = 0),((sqrt(x + x^2) - sqrtx)/(x^(3//2))"," x > 0):}`

is continuous for all x in R, are

How many different 9 digit numbers can be formed from the number 112226677 by rearranging its digits so that the odd digits occupy even positions?

The modulus of z = `sqrt7` + 3i is ______

Four persons work independently on a task. If the respective probabilities that they will solve it are 1/5, 1/3, 1/7, and 1/6, then the probability that none can solve it is ______

The mean and S.D. of the scores of 100 candidates were found to be 80 and 15 respectively. Later, it was discovered that a score of 50 was wrongly read as 40. The correct mean and S.D. respectively are ______

If the radius of a circle increases from 3 cm to 3.2 cm, then the increase in the area of the circle is ______

`sqrt3 sin15^circ + cos15^circ` = ______

Select the CORRECT statement.

Thin films, layers and coatings are examples of ____________ nanostructures.

Drath and Frost developed a green technology for the synthesis of ____________.

Which of the following polymers is used in the manufacture of lenses and LCD screens?

Select the CORRECT match for both the polymers.

Which of the following pair represents natural polymers?

Purine derivative among the following bases is ____________.

Prolonged heating of glucose with hot HI results in the formation of ____________.

Which of the following will NOT give positive carbylamine test?

The CORRECT decreasing order of solubility in water will be ____________.

Hydrides of transition metals are used as powerful ____________ agents.

Catalyst used in Rosenmund reduction is ____________.

Bromination of phenol, will NOT give:

The structural formula of methyl vinyl ether is ____________.

Which of the following is a primary halide?

Which of the foll9wing is INCORRECT for enantiomers?

Identify the INCORRECT statement.

The highest oxidation state shown by elements of 3d transition series is ____________.

Identify the CORRECT statement about d block elements.

Identify the INCORRECT statement about β-sulfur.

The CORRECT order of increasing thermal stability of the hydrides of group 16 elements is:

In a first order reaction, the concentration of the reactant is reduced to 25% in one hour. The half-life period of the reaction is ____________.

The process, in which no heat enters or leaves the system, is termed as ____________.

A system releases 700 J of heat and does work. The change in internal energy (∆U) for the process is −460 J. The work done is ____________.

Find the CORRECT match.

Which of the following is an example of molecular solid?

According to Huckel rule, a cyclic π molecular orbital formed by overlap of p orbitals must contain ____________ p electrons.

Which of the following is an example of liquid-liquid system?

Which of the following molecules have London forces as predominant intermolecular force of attraction?

The strength (g/L) of 10 volume solution of hydrogen peroxide ____________.

Which of the following pairs have identical bond order?

In which of the following, the central atom does NOT have lone pair(s) of electrons?

Which property of an element is always a whole number?

Which of the following statements is INCORRECT for Dalton's atomic theory?