MHT - CET MCQ

In case of an AND gate ______.

A pnp transistor is used in common-emitter mode. If a change of 40 µA in base current brings a change of 2 µA in collector current with 0.04 V in base-emitter voltage, then the input resistance is ____________.

According to Bohr's theory, the expression for the kinetic and potential energy of an electron revolving in an orbit is given respectively by ______.

Which of the following transition will have highest emission frequency?

The momentum of a photon of energy 1 MeV in kg m/s will be ______

An alternating current of frequency 50 Hz has the peak value as 14.14 A. The time taken by the alternating current in reaching from zero to maximum value and r.m.s. value of current will be respectively ____________.

In a series LCR circuit R = 300 Ω, L = 0.9 H, C = 2µF, ω = 1000 rad/s. The impedance of the circuit is ______.

The variation of intensity of magnetization (I) and applied magnetic field intensity (H) for three magnetic materials A, B, C are shown in the graph. The material A is ____________. 

An electron in the ground state of hydrogen atom is revolving in a circular orbit of radius R. The orbital magnetic moment of the electron is ____________. (m = mass of electron, h = Planck's constant, e = electronic charge)

Magnetic force on a closed current-carrying circuit placed in a uniform magnetic field is ______.

In a cyclotron, a charged particle ____________.

In a metre bridge experiment, the ratio of the left-gap resistance to right gap resistance is 2: 3. The balance point from the left is ______.

On interchanging the resistances, the balance point of a metre bridge shifts to the left by 10 cm. The resistance of their series combination is 1 k`Omega`. How much was the resistance on the left slot before interchanging the resistances?

In the circuit shown, the potential difference across the 4.5 µF capacitor is ______. 

The diffraction fringes obtained by a single slit are of ____________.

When light enters glass from vacuum then the wavelength of light ______

A pipe closed at one end has a length of 1m and at its open end, 0.25 m long uniform string is vibrating in its third harmonic and resonates with a fundamental frequency of pipe. If the tension in the string is 100 N and the speed of sound is 340 `m/s`, then the mass of the string is near ______

The simplest mode of a vibration of the string is called ____________.

A simple pendulum of length 'L' is suspended from a roof of a trolley. A trolley moves in horizontal direction with an acceleration 'a'. What would be the period of oscillation of a simple pendulum?

(g is acceleration due to gravity)

The graph between restoring force and time in case of S.H.M is ______.

A pendulum clock is running fast. To correct its time, we should ______

Assertion: Equal volumes of monatomic and polyatomic gases are adiabatically compressed separately to equal compression ratio `("P"_2/"P"_1)`. Then monatomic gas will have greater final volume.

Reason: Among ideal gases, molecules of a monatomic gas have the smallest number of degrees of freedom.

Which of the following represents isothermal process?

An ideal gas is compressed at a constant temperature. Its internal energy will ____________.

An ideal gas occupies a volume 'V' at a pressure 'P' and absolute temperature T. The mass of each molecule is 'm'. If 'Ks' is the Boltzmann's constant, then the density of gas is given by expression ______.

A piece of lead weighing 500 g gives out 1200 calories of heat when it is cooled from 100° C to 20° C. Find its specific heat.

Water rises to height 2.2 cm in glass capillary tube. The height to which same water rises in another capillary having `(1/4)^"th"` area of cross-section is ______.

A liquid rises to a height of 2.8 cm in a glass capillary 'A'. Another glass capillary 'B' having a diameter of 80% of capillary 'A' is immersed in the same liquid. The rise of liquid in capillary 'B' is ______

Consider a process shown in the figure. During this process, the work done by the system ______. 

A thin uniform rod of length 'L' and mass 'M' is bent at the middle point 'O' at an angle of 45° as shown in the figure. The moment of inertia of the system about an axis passing through 'O' and perpendicular to the plane of the bent rod, is ______. 

A particle moves along a circular path of radius 'r' with uniform speed 'V'. The angle described by the particle in one second is ______.

If a cyclist doubles his speed while negotiating a curve, how does the tendency to overturn vary?

If p-njunction diode is reverse biased then ______.

An electron of mass 'm' and charge 'q' is accelerated from rest in the electric field 'E'. The velocity acquired by the electron in travelling a distance 'x' is ______

When light enters glass from vacuum then the wavelength of light ______

A progressive wave of frequency 50 Hz is travelling with velocity 350 m/s through a medium. The change in phase at a given time interval of 0.01 s is ______.

If the distance between the sun and the earth is made three times, then attraction between the two will ______

A bomb of mass 9 kg explodes into two pieces of mass 3 kg and 6 kg. The velocity of mass 3 kg is 16 m/s, The kinetic energy of mass 6 kg is ____________.

If time of flight of a projectile is 20 seconds. Range is 250 metre. The maximum height attained by it will be ____________.

An object is thrown vertically upward with a speed of 15 m/s. The velocity of the object 2s before it reaches the maximum height is ____________.

P(x) = `{(1/"k" ((5),(x))"," (x=0,1,2,3,4,5); k > 0),(0 "," "otherwise"):},`

is p.m.f. of a r.v. X. Then `1/"k"` is equal to

A random variable X has the following probability distribution:

X = x	0	1	2	3
P (X = x)	`1/10`	`1/2`	`1/5`	k

Then the value of k is

Solution of `sinx dy/dx + y cosx = 1` is ______

The solution of the differential equation `1 + "dy"/"dx" = (sin^2(x + y))/(cos (x + y))` is

The differential equation `x((d^2y)/dx^2)^3 + ((d^3y)/dx^3)^2y = x^2` is of ______

The area bounded by y = `27/x^3`, X-axis and the ordinates x = 1, x = 3 is ______

`int_0^pi sin^2x.cos^2x dx` = ______

`int_2^3 x/(x^2 - 1)` dx = ______

`int_(-2)^2 sqrt((2 - x)/(2 + x))` = ?

`int (cot(logx))/x "d"x` = ______.

`intlogx/(1 + logx)^2dx` = ______

If 2y = `(cot^-1((sqrt3cosx + sinx)/(cosx - sqrt3 sinx)))^2`, x ∈ `(0, pi/2)` then `dy/dx` is equal to ______

If f(x) = `(x - 2)/(x + 2)`, then f(α x) = ______

If `(x - 1)/l = (y - 2)/m = (z + 1)/n` is the equation of the line through (1, 2, -1) and (-1, 0, 1), then (l, m, n) is ______

Solution of the LPP minimize z = 7x + 2y subject to x + y ≥ 60, x - 2y ≥ 0, x + 2y ≤ 120, x, y ≥ 0 is ______

The equation of a plane containing the line of intersection of the planes 2x - y - 4 = 0 and y + 2z - 4 = 0 and passing through the point (1, 1, 0) is ______

The shortest distance between the lines

`bar"r" = (hat"i" + 2hat"j" + hat"k") + lambda (hat"i" - hat"j" + hat"k")` and

`bar"r" = (2hat"i" - hat"j" - hat"k") + mu(2hat"i" + hat"j" + 2hat"k")` is

The cartesian equation of the line `overliner = (hati + hatj + hatk) + lambda(hatj + hatk)` is ______

The vector equation of the line passing through the points (3, 2, 1) and (1, 3, 1) is ______.

If the points `P(overlinea+2overlineb+overlinec)`, `Q(2overlinea+3overlineb), R(overlineb+ t overlinec)` are collinear, where `overlinea, overlineb, overlinec` are three non-coplanar vectors, the value of t is ______

If `overlinea = hati - 2hatj + 3hatk, overlineb = 2hati + 3hatj - 4hatk` and `overlinec = 4hati + 13hatj - 18hatk` and `overlinec = poverlinea + qoverlineb` then p + q is equal to ______

O(0, 0), A(1, 2), B(3, 4) are the vertices of ΔOAB. The joint equation of the altitude and median drew from O is ______

The joint equation of the lines through the origin which forms two of the sides of the equilateral triangle having x = 2 as the third side is ______

In ΔABC, tan`A/2 = 5/6` and tan`C/2 = 2/5`, then ______

In a ΔABC, `(sin "C"/2)/(cos(("A" - "B")/2))` = ______

The value of tan 57°- tan 12°- tan 57° tan 12° is ______.

If A = `[(2, -3), (3, 5)]`, then |Adj A| is equal to ______

If A = `[(1, 1, -1), (1, -2, 1), (2, -1, -3)]`, then (adj A)A = ______

Negation of (p ∧ q) → (∼p ∨ r) is ______.

Negation of (∼p → q) is ______.

The negation of (p ∨ ∼q) ∧ q is ______

The statement ∼(p ↔ ∼q) is ______

If f(x) = `{{:(tanx/x + secx",", x ≠ 0),(2",", x = 0):}`, then ______.

`lim_(x->3) (x^5 - 243)/(x^3 - 27)` = ?

If f(x) = `{{:(x^2",", x ≥ 0),(x^3",", x < 0):}`, then f(x) is ______.

Five gifts are to be distributed among seven persons. The number of ways in which this can be done, if there is no restriction on the number of gifts a person can get, is ______.

An unbiased die with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times. Out of four face values obtained, the probability that the minimum face value is not less than 2 and the maximum face value is not greater than 5, is ______.

The variance of α, β and ϒ is 8, then variance of 4α, 4β and 4ϒ is ______.

sin 6° sin 54° sin 66° = ______

Which of the following is recycled to make trash-can liners?

Which of the following polymers is prepared by using phenol?

Which among the following polymers belongs to the class elastomers?

Which among the following is a globular protein?

Which of the following amines cannot be prepared by Gabriel phthalimide synthesis?

IUPAC name of benzylamine is ______.

Which of the following aromatic acids has less acidic strength than benzoic acid?

What is the IUPAC name of α-methyl butyraldehyde?

Which of the following compounds is NOT isomeric with ethoxy ethane?

Which of the following is dihydric phenol?

The boiling points of different alkyl halides having same alkyl group decrease in the order

Which of the following methods is used for concentration of iron ore?

Which among the following pairs of elements in their respective oxidation states will have same value of effective magnetic moment?
(Atomic number: Sc = 21, Ti = 22, Cr = 24, Co = 27, Ni = 28, Zn = 30)

The CORRECT order of decreasing ionic radius is:

Sulfur dioxide is a ____________.

How many lone pairs of electrons are present on each oxygen atom in any oxyacids of chlorine?

Which of the following is NOT a group 16 element?

The integrated rate law is a direct relationship between ____________ and ____________.

Identify the strongest reducing agent from the data given below:

Element	`"E"^0 ("V")`
Al	−1.66
Fe	−0.44
Hg	+0.79
Cu	+0.337

What is the unit of electrical conductance?

An aqueous solution of which of the following will have a pH greater than 7?

Ebullioscopic constant depends on ____________.

The vapour pressure of water at 20°C is 17 mm Hg. The vapour pressure of solution containing 2.8 g urea in 50 g of water is ____________.

Which among the following is NOT a polar molecular solid?

Which among the following compounds has lowest boiling point?

Which of the following is NOT an electrophile?

Water gas is a mixture of ______.

The following statements are CORRECT, EXCEPT:

In an ionic bond formation, electron transfer takes place ______.

Which of the following is an isotone of `""_7^14"N"`?

What is the average mass of an element if it has two isotopes, one of mass 6.015 u with 8.24 % and other of mass 7.016 u with 91.26% respectively?

The volume of hydrogen gas liberated at STP when 23 g of sodium is reacted with ethanol is ____________.