MHT - CET MCQ

If `alpha`-current gain of a transistor is 0.98. What is the value of `beta`- current gain of the transistor?

A junction diode of internal resistance 20 Ω is used for half-wave rectification. If the applied voltage has a peak value of 50 V and load resistance is 800 Ω, then d.c. value of current is ____________.

Which one of the following nuclei has shorter meant life?

The acceleration of electron in the first orbit of hydrogen atom is ______.

Which one of the following properties is not possessed by a photon?

Instrument which measures alternating current is based on ____________.

The standard voltage of A.C. mains in India is ______

Eddy currents are produced in a material when it is ____________.

Shown in the figure below is a metre bridge set up with null deflection in the galvanometer. The value of the unknown resistance R is ______ 

An electron revolving in a circular orbit of radius 'r' with velocity 'v' and frequency v has orbital magnetic moment 'M'. If the frequency of revolution is tripled then the new magnetic moment will be ____________.

The force acting on a particle of charge q moving in a uniform magnetic field with velocity 'v' is ______

The magnetic moment of a square coil having 10 turns, each side measuring 2 cm and carrying a current of unit ampere is ____________.

The `(tau - theta)` graph for a coil is

In the circuit shown, a metre bridge is in its balanced state. The metre bridge wire has a resistance 0.1 ohm/cm. The value of unknown resistance X and the current drawn from the battery of negligible resistance are ____________.

A voltmeter can measure upto 25 V and its resistance is 1000 `Omega`. How much resistance should be connected in series so that it can measure voltage upto 250 volt?

Work done during the process of charging a conductor is stored in the form of electrostatic energy and is given by ____________.

According to Gauss' theorem, the electric field of an infinitely long straight wire is proportional to ______

In Young's double-slit experiment, in an interference pattern, a second minimum is observed exactly in front of one slit. The distance between the two coherent sources is 'd' and the distance between source and screen is 'D'. The wavelength of the light source used is ______

Wavefront is the locus of all points, where the particles of the medium vibrate with the same ____________.

Two waves are represented by the equations `"y"_1, = "a sin" (omega"t"+ "kx" + 0.57)` m and `"y"_2, = "a cos" (omega"t"+ "kx")` m, where x is in metre and t in second. The phase difference between them is ____________.

The phase difference between the instantaneous velocity and acceleration of a particle executing S.H.M is ____________.

The ratio of frequencies of oscillations of two simple pendulums is 3: 4 then their lengths are in the ratio ______.

One mole of an ideal gas with `gamma` = 1.4 is adiabatically compressed so that its temperature rises from 27° C to 47° C. The change in the internal energy of the gas is (R = 8.3 J/mol.K) ____________.

Which of the following cannot determine the state of a thermodynamic system?

The internal energy of a system is ______

To what temperature should hydrogen at 227° C be cooled at constant pressure so that root mean square velocity of its molecule becomes half of its previous value?

Gases exert pressure on the walls of the container because the gas molecules ______

Which of the following statements is incorrect?

In case of a liquid which does not wet a solid surface, the force of adhesion ______

A particle is given an initial speed u inside a smooth spherical shell of radius R = 1 m so that it is just able to complete the circle. Acceleration of the particle when it is in vertical circle is ____________.

The maximum safe speed, for which a banked road is intended, is to be increased by 20 %. If the angle of banking is not changed, then the radius of curvature of the road should be changed from 30 m to ____________.

The electric force acting between two point charges kept at a certain distance in vacuum is 16 N. If the same two charges are kept at the same distance in a medium of dielectric constant 8, the electric force acting between them is ____________ N.

A ray of light travels from air to water to glass and aga in from glass to air. Refractive index of water with respect to air is 'x' glass with respect to water is 'y' and air with respect to glass is 'z'. which one of the following is correct?

A wave is represented by the equation, y = A sin (10 πx + 15 πt + π/3) where x is in metre and t are in second. Which of the following statements is correct?

Which of the substances P, Q, or R has the lowest specific heat? The temperature v/s time graph is shown ______.

The escape velocity from earth is 11.2 km. Another planet is having mass 1000 times and radius 10 times that of earth, then escape velocity at that planet will be ____________.

A force of -F `hat "k"` acts on the origin of the coordinate system. The torque about the point (2, - 1) is ____________.

Two spheres of masses m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be ______

The probability distribution of a random variable X is given below. If its mean is 4.2, then the values of a and bar respectively

X = x	1	2	3	4	5	6
P(X = x)	a	a	a	b	b	0.3

The probability distribution of a r.v. X is

X = x	-3	-2	-1	0	1
P(X = x)	0.3	0.2	0.25	0.1	0.15

Then F (-1) = ?

Solution of the equation `dy/dx + y/(x + logy) = 0` is ______

The third order differential equation is ______

The degree of the differential equation `("d"^4"y")/"dx"^4 + sqrt(1 + ("dy"/"dx")^4)` = 0 is

`int_-9^9 x^3/(4 - x^2)` dx = ______

`int_((-pi)/8)^(pi/8) log ((2 - sin x)/(2 + sin x))` dx = ______.

`intcosx/((1 + sinx)(2 + sinx))`dx = ______

`int(1 + logx)^3/xdx` = ______

The solution of `dy/dx + y cotx = cosecx` is ______

If `int1/(x + x^5)dx = f(x) + c`, then `intx^4/(x + x^5)dx` = ______

A ladder 20 ft Jong leans against a vertical wall. The top-end slides downwards at the rate of 2 ft per second. The rate at which the lower end moves on a horizontal floor when it is 12 ft from the wall is ______

The angle between the tangents to the curve y = `x^2 - 5x + 6` at the points (2, 0) and (3, 0) is ______

If `y = cot^-1((6cotx - 5)/(5cotx + 6)), "then" dy/dx` = ______

If cos y = x cos(a + y) with cos a ≠ ± 1, then `dy/dx` is equal to ______

If y = `1 + x + x^2/(2!) + x^3/(3!) + x^4/(4!) + .....,` then `(d^2y)/(dx^2)` = ______

If 0 ≤ x < 2π, then the number of real values of x, which satisfy the equation cos x + cos 2x + cos 3x + cos 4x = 0, is ______

If line joining points A and B having position vectors `6overlinea - 4overlineb + 4overlinec` and `-4overlinec` respectively, and the line joining the points C and D having position vectors `-overlinea - 2overlineb - 3overlinec` and `overlinea + 2overlineb - 5overlinec` intersect, then their point of intersection is ______

If the volume of the tetrahedron formed by the coterminous edges `bar"a", bar"b" and bar"c"` is 5, then the volume of the parallelopiped formed by the coterminous edges `bar"a" xx bar"b", bar"b" xx bar"c" and bar"c" xx bar"a"` is

The area of triangle ABC in which c = 8 , b = 3, ∠A = 60° is ______

If `hati - 2hatj + hatk`, `2hati + phatj + 3hatk` and `5hati - 9hatj + 4hatk` are coplanar, then the value of p is equal to ______

The angle between two adjacent sides `overlinea` and `overlineb` of parallelogram is `pi/6`. if `overlinea` = (2, -2, 1) and `|overlineb| = 2|overlinea|`, then area of this parallelogram is ______

The vector eqliation of line 2x - 2 = 3y + 1 = 6z - 2 is

lf `sqrt3costheta + sintheta = sqrt2`, then the general value of θ is ______

`int 1/(sin x * cos x)` dx = ?

`cos^-1 (cos (4pi)/3)` = ______.

If `overlinea = 3hati + hatj + 4hatk, overlineb = 2hati - 3hatj + lambdahatk, overlinec = hati + 2hatj - 4hatk` and `overlinea.(overlineb xx overlinec) = 47`, then λ is equal to ______

If A is a 3 × 3 matrix and |A| = 2, then the matrix represented by A (adj A) is equal to.

For which values of xis the matrix

`[(3,-1+x,2),(3,-1,x+2),(x+3,-1,2)]` non-invertible?

Which of the following is NOT true for p → q.

Let p : 7 is not greater than 4 and q : Paris is in France by two statements. Then ∼(p ∨ q) is the statement ______

If p: Resbama is hardworking, q: Reshama is successful, then the verbal form of ~p ∧ ~q is

All the letters of the word PADMAPRIYA are placed at random in a row. The probability that the word PRIY A occurs without getting split is ______

If the probability that a student is not a cricket player is `1/6,` then the probability that out of 6 students one is a cricket player is ______

A die is thrown 4 times. Getting an even number is considered a success. Then the variance of the distribution of success is ______

The locus of the mid-point of the portion intercepted between the axes of the variable line x cos α + y sin α = p, where p is a constant, is

`sqrt(2 + sqrt(2 + sqrt(2 + 2cos8theta)))` = ______

Nanostructures on lotus leaves repel water which carries dirt as it rolls off. This Lotus effect is used in ____________.

____________ can be categorised as a green solvent.

The INCORRECT match for the polymer with its application is:

Identify the monomers used in the preparation of glyptal.

The optically inactive amino acid is ____________.

Which of the following monosaccharides is a tetrose sugar?

IUPAC name of methylphenylamine is __________.

The formula of acrolein is ____________.

____________ are characterized by gradual filling up of 4f orbitals.

Which of the following alkyl halides has the lowest boiling point?

Which of the following is an ambidentate ligand?

Identify the CORRECT statements from the following.

(I) Both lanthanoids and transition metals show magnetism.

(II) Both lanthanoids and actinoids form oxocations.

(III) Both lanthanoids and actinoids show decrease in ionic radius with an increase in atomic number.

(IV) Both lanthanoids and transition metals show fixed geometries.

The formula of potassium ammine-tri chloroplatinate (II) is, ____________.

Which ion has the highest value of theoretical magnetic moment?

Dihalides of group 16 elements undergo ____________.

Astatine and radon belong to group ____________ respectively.

Which of the following statements is INCORRECT?

If 'I' stands for the distance between the electrodes and 'a' stands for the area of cross-section of the electrode, `"l"/"a"` refers to ____________.

The CORRECT unit of molar conductivity is ____________.

When 4 g of iron is burnt to ferric oxide at constant pressure, 29.28 kJ of heat is evolved. What is the enthalpy of formation of ferric oxide?

(Atomic mass of Fe = 56)

When heat is released during the reaction, it is denoted as ____________ and when work is done on the system by the surroundings, it is denoted as ____________.

Aqueous solution of ____________ will turn red litmus blue.

Which of the following is a weak electrolyte?

Relative lowering of vapour pressure of a solution of non-volatile solute depend only on ____________.

The number of particles in 1 g of a metallic crystal is equal to ____________.

Choose the RIGHT statement from the following:

Which of the following statements is CORRECT for alkanes?

Identify the CORRECT statements from the following.

i. The colour of colloidal dispersion depends on size of colloidal particles.

ii. Tyndall effect is used to distinguish between colloidal dispersion and true solution.

iii. Eosin and congo red are examples of negatively charged sols.

The unit of ideal gas constant (R) is ____________.

The first ionization enthalpies of alkali metals decreases down the group because of

In which of the following, oxidation number of oxygen is +2?

The spectral line obtained when an electron jumps from n = 5 to n = 2 level in hydrogen atom belongs to the ____________ series.

Which of the following series of transitions in the spectrum of hydrogen atom falls in ultraviolet region?

Convert the following 20°C temperature to degree Fahrenheit.