Sign in
Please select an account to continue using cracku.in
↓ →
JEE WhatsApp Group
Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
Given below are two statements : Statement (I) : Dimensions of specific heat is $$[L^2 T^{-2} K^{-1}]$$. Statement (II) : Dimensions of gas constant is $$[ML^2 T^{-1} K^{-1}]$$. In the light of the above statements, choose the most appropriate answer from the options given below.
Login to view the detailed solution.
A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in $$t_1$$. If it is projected vertically downwards from the same point with the same speed, it reaches the ground in $$t_2$$. Time required to reach the ground, if it is dropped from the top of the tower, is :
Login to view the detailed solution.
A body of weight $$200 \text{ N}$$ is suspended from a tree branch through a chain of mass $$10 \text{ kg}$$. The branch pulls the chain by a force equal to (if $$g = 10 \text{ m/s}^2$$) :
Login to view the detailed solution.
.webp)
A car of $$800 \text{ kg}$$ is taking turn on a banked road of radius $$300 \text{ m}$$ and angle of banking $$30°$$. If coefficient of static friction is $$0.2$$ then the maximum speed with which car can negotiate the turn safely: $$(g = 10 \text{ m/s}^2, \sqrt{3} = 1.73)$$
Login to view the detailed solution.
When kinetic energy of a body becomes 36 times of its original value, the percentage increase in the momentum of the body will be:
Login to view the detailed solution.
Assuming the earth to be a sphere of uniform mass density, a body weighed $$300 \text{ N}$$ on the surface of earth. How much it would weigh at $$R/4$$ depth under surface of earth?
Login to view the detailed solution.
Pressure inside a soap bubble is greater than the pressure outside by an amount : (given : $$R$$ = Radius of bubble, $$S$$ = Surface tension of bubble)
Login to view the detailed solution.
A total of $$48 \text{ J}$$ heat is given to one mole of helium kept in a cylinder. The temperature of helium increases by $$2°C$$. The work done by the gas is: Given, $$R = 8.3 \text{ J K}^{-1} \text{ mol}^{-1}$$.
Login to view the detailed solution.
Energy of 10 non rigid diatomic molecules at temperature $$T$$ is :
Login to view the detailed solution.
Two identical conducting spheres $$P$$ and $$S$$ with charge $$Q$$ on each, repel each other with a force $$16 \text{ N}$$. A third identical uncharged conducting sphere $$R$$ is successively brought in contact with the two spheres. The new force of repulsion between $$P$$ and $$S$$ is :
Login to view the detailed solution.
The number of electrons flowing per second in the filament of a $$110 \text{ W}$$ bulb operating at $$220 \text{ V}$$ is : (Given $$e = 1.6 \times 10^{-19} \text{ C}$$)
Login to view the detailed solution.
Match List-I with List-II :
Choose the correct answer from the options given below :
Login to view the detailed solution.
In a coil, the current changes from $$-2 \text{ A}$$ to $$+2 \text{ A}$$ in $$0.2 \text{ s}$$ and induces an emf of $$0.1 \text{ V}$$. The self inductance of the coil is :
Login to view the detailed solution.
In the given electromagnetic wave $$E_y = 600 \sin(\omega t - kx) \text{ Vm}^{-1}$$, intensity of the associated light beam is (in $$\text{W/m}^2$$) : (Given $$\epsilon_0 = 9 \times 10^{-12} \text{ C}^2 \text{ N}^{-1} \text{ m}^{-2}$$)
Login to view the detailed solution.
In finding out refractive index of glass slab the following observations were made through travelling microscope 50 vernier scale division $$= 49$$ MSD; 20 divisions on main scale in each cm. For mark on paper MSR $$= 8.45 \text{ cm}$$, VC $$= 26$$. For mark on paper seen through slab MSR $$= 7.12 \text{ cm}$$, VC $$= 41$$. For powder particle on the top surface of the glass slab MSR $$= 4.05 \text{ cm}$$, VC $$= 1$$. (MSR = Main Scale Reading, VC = Vernier Coincidence) Refractive index of the glass slab is :
Login to view the detailed solution.
For the thin convex lens, the radii of curvature are at $$15 \text{ cm}$$ and $$30 \text{ cm}$$ respectively. The focal length the lens is $$20 \text{ cm}$$. The refractive index of the material is :
Login to view the detailed solution.
When UV light of wavelength $$300 \text{ nm}$$ is incident on the metal surface having work function $$2.13 \text{ eV}$$, electron emission takes place. The stopping potential is: (Given $$hc = 1240 \text{ eVnm}$$)
Login to view the detailed solution.
The longest wavelength associated with Paschen series is : (Given $$R_H = 1.097 \times 10^7 \text{ SI unit}$$)
Login to view the detailed solution.
The acceptor level of a p-type semiconductor is $$6 \text{ eV}$$. The maximum wavelength of light which can create a hole would be : Given $$hc = 1242 \text{ eVnm}$$.
Login to view the detailed solution.
In a vernier calliper, when both jaws touch each other, zero of the vernier scale shifts towards left and its $$4^{th}$$ division coincides exactly with a certain division on main scale. If 50 vernier scale divisions equal to 49 main scale divisions and zero error in the instrument is $$0.04 \text{ mm}$$ then how many main scale divisions are there in $$1 \text{ cm}$$?
Login to view the detailed solution.
A particle moves in a straight line so that its displacement $$x$$ at any time $$t$$ is given by $$x^2 = 1 + t^2$$. Its acceleration at any time $$t$$ is $$x^{-n}$$ where $$n =$$ ___________
Login to view the detailed solution.
Three balls of masses $$2 \text{ kg}$$, $$4 \text{ kg}$$ and $$6 \text{ kg}$$ respectively are arranged at centre of the edges of an equilateral triangle of side $$2 \text{ m}$$. The moment of inertia of the system about an axis through the centroid and perpendicular to the plane of triangle, will be ___________ $$\text{kgm}^2$$.
Login to view the detailed solution.
A wire of cross sectional area A, modulus of elasticity $$2 \times 10^{11} \text{ Nm}^{-2}$$ and length $$2 \text{ m}$$ is stretched between two vertical rigid supports. When a mass of $$2 \text{ kg}$$ is suspended at the middle, it sags lower from its original position making an angle $$\theta = \frac{1}{100}$$ radian on the points of support. The value of A is ___________ $$\times 10^{-4} \text{ m}^2$$ (consider $$x << L$$). (given : $$g = 10 \text{ m/s}^2$$)
Login to view the detailed solution.
Two open organ pipes of lengths $$60 \text{ cm}$$ and $$90 \text{ cm}$$ resonate at $$6^{th}$$ and $$5^{th}$$ harmonics respectively. The difference of frequencies for the given modes is ___________ Hz. (Velocity of sound in air $$= 333 \text{ m/s}$$)
Login to view the detailed solution.
A capacitor of capacitance $$10 \mu\text{F}$$ whose plates are separated by $$10 \text{ mm}$$ through air and each plate has area $$4 \text{ cm}^2$$ is now filled equally with two dielectric media of $$K_1 = 2$$, $$K_2 = 3$$ respectively as shown in figure. If new force between the plates is $$8 \text{ N}$$. The supply voltage is ___________ $$\text{ V}$$.
Login to view the detailed solution.
In the given figure an ammeter A consists of a $$240 \Omega$$ coil connected in parallel to a $$10 \Omega$$ shunt. The reading of the ammeter is ___________ mA.
Login to view the detailed solution.
A coil having 100 turns, area of $$5 \times 10^{-3} \text{ m}^2$$, carrying current of $$1 \text{ mA}$$ is placed in uniform magnetic field of $$0.20 \text{ T}$$ such a way that plane of coil is perpendicular to the magnetic field. The work done in turning the coil through $$90°$$ is ___________ $$\mu\text{J}$$.
Login to view the detailed solution.
For a given series LCR circuit it is found that maximum current is drawn when value of variable capacitance is $$2.5 \text{ nF}$$. If resistance of $$200 \Omega$$ and $$100 \text{ mH}$$ inductor is being used in the given circuit. The frequency of ac source is ___________ $$\times 10^3 \text{ Hz}$$. (given $$\pi^2 = 10$$)
Login to view the detailed solution.
Two coherent monochromatic light beams of intensities I and 4I are superimposed. The difference between maximum and minimum possible intensities in the resulting beam is $$xI$$. The value of $$x$$ is ___________.
Login to view the detailed solution.
In Franck-Hertz experiment, the first dip in the current-voltage graph for hydrogen is observed at 10.2 V. The wavelength of light emitted by hydrogen atom when excited to the first excitation level is ___________ nm. (Given $$hc = 1245 \text{ eVnm}$$, $$e = 1.6 \times 10^{-19} \text{ C}$$).
Login to view the detailed solution.
Molality ($$m$$) of $$3M$$ aqueous solution of NaCl is : (Given : Density of solution $$= 1.25 \text{ g mL}^{-1}$$, Molar mass in $$\text{gmol}^{-1}$$: Na $$- 23$$, Cl $$- 35.5$$)
Login to view the detailed solution.
The ratio $$\frac{K_P}{K_C}$$ for the reaction : $$CO_{(g)} + \frac{1}{2} O_{2(g)} \rightleftharpoons CO_{2(g)}$$ is :
Login to view the detailed solution.
Match List - I with List - II.
Choose the correct answer from the options given below :
The number of ions from the following that are expected to behave as oxidising agent is : $$Sn^{4+}, Sn^{2+}, Pb^{2+}, Tl^{3+}, Pb^{4+}, Tl^{+}$$
Login to view the detailed solution.
Evaluate the following statements related to group 14 elements for their correctness. (A) Covalent radius decreases down the group from C to Pb in a regular manner. (B) Electronegativity decreases from C to Pb down the group gradually. (C) Maximum covalance of C is 4 whereas other elements can expand their covalance due to presence of d orbitals. (D) Heavier elements do not form $$p\pi - p\pi$$ bonds. (E) Carbon can exhibit negative oxidation states. Choose the correct answer from the options given below :
Login to view the detailed solution.
The correct statement among the following, for a "chromatography" purification method is :
Login to view the detailed solution.
The incorrect statement regarding the geometrical isomers of 2-butene is :
Login to view the detailed solution.
How can an electrochemical cell be converted into an electrolytic cell?
Login to view the detailed solution.
Arrange the following elements in the increasing order of number of unpaired electrons in it. (A) Sc (B) Cr (C) V (D) Ti (E) Mn. Choose the correct answer from the options given below :
Login to view the detailed solution.
The correct IUPAC name of $$[PtBr_2(PMe_3)_2]$$ is :
Login to view the detailed solution.
Given below are two statements : Statement I : $$PF_5$$ and $$BrF_5$$ both exhibit $$sp^3d$$ hybridisation. Statement II : Both $$SF_6$$ and $$[Co(NH_3)_6]^{3+}$$ exhibit $$sp^3d^2$$ hybridisation. In the light of the above statements, choose the correct answer from the options given below :
Login to view the detailed solution.
Match List - I with List - II.
Choose the correct answer from the options given below :
Login to view the detailed solution.
The correct arrangement for decreasing order of electrophilic substitution for above compounds is :
Login to view the detailed solution.
Consider the given reaction, identify the major product "P". $$CH_3 - COOH \xrightarrow{(i) LiAlH_4 \; (ii) PCC \; (iii) HCN/OH^{-} \; (iv) H_2O/OH^{-}, \Delta}$$ "P"
Consider the above chemical reaction. Product "A " is :
The major products formed A and B respectively are:
Identify the product (A) in the following reaction.
During the detection of acidic radical present in a salt, a student gets a pale yellow precipitate soluble with difficulty in $$NH_4OH$$ solution when sodium carbonate extract was first acidified with dil. $$HNO_3$$ and then $$AgNO_3$$ solution was added. This indicates presence of :
Login to view the detailed solution.
Match List - I with List - II.
Choose the correct answer from the options given below :
The incorrect statements regarding enzymes are : (A) Enzymes are biocatalysts. (B) Enzymes are non-specific and can catalyse different kinds of reactions. (C) Most Enzymes are globular proteins. (D) Enzyme - oxidase catalyses the hydrolysis of maltose into glucose. Choose the correct answer from the option given below :
Consider the following reactions $$NiS + HNO_3 + HCl \rightarrow A + NO + S + H_2O$$. $$A + NH_4OH + H_3C - C(=N-OH) - C(=N-OH) - H_3C \rightarrow B + NH_4Cl + H_2O$$. The number of protons that do not involve in hydrogen bonding in the product $$B$$ is ___________.
Login to view the detailed solution.
For hydrogen atom, energy of an electron in first excited state is $$-3.4 \text{ eV}$$, K.E. of the same electron of hydrogen atom is $$x \text{ eV}$$. Value of $$x$$ is ___________ $$\times 10^{-1} \text{ eV}$$. (Nearest integer)
Login to view the detailed solution.
An amine (X) is prepared by ammonolysis of benzyl chloride. On adding p-toluenesulphonyl chloride to it the solution remains clear. Molar mass of the amine (X) formed is ___________ $$\text{gmol}^{-1}$$. (Given molar mass in $$\text{gmol}^{-1}$$: C : 12, H : 1, O : 16, N : 14)
Login to view the detailed solution.
For the reaction at $$298 \text{ K}$$, $$2A + B \rightarrow C$$. $$\Delta H = 400 \text{ kJ mol}^{-1}$$ and $$\Delta S = 0.2 \text{ kJ mol}^{-1} \text{K}^{-1}$$. The reaction will become spontaneous above ___________ K.
Consider the two different first order reactions given below $$A + B \rightarrow C$$ (Reaction 1) $$P \rightarrow Q$$ (Reaction 2). The ratio of the half life of Reaction 1 : Reaction 2 is $$5 : 2$$. If $$t_1$$ and $$t_2$$ represent the time taken to complete $$\frac{2}{3}^{rd}$$ and $$\frac{4}{5}^{th}$$ of Reaction 1 and Reaction 2, respectively, then the value of the ratio $$t_1 : t_2$$ is ___________ $$\times 10^{-1}$$ (nearest integer). [Given : $$\log_{10}(3) = 0.477$$ and $$\log_{10}(5) = 0.699$$]
Among $$VO_2^{+}$$, $$MnO_4^{-}$$ and $$Cr_2O_7^{2-}$$, the spin-only magnetic moment value of the species with least oxidising ability is ___________ BM (Nearest integer). (Given atomic number $$V = 23, Mn = 25, Cr = 24$$)
Login to view the detailed solution.
Number of carbocations from the following that are not stabilized by hyperconjugation is __________
_
When '$$x$$' $$\times 10^{-2}$$ mL methanol (molar mass $$= 32 \text{ g}$$; density $$= 0.792 \text{ g/cm}^3$$) is added to $$100 \text{ mL}$$ water (density $$= 1 \text{ g/cm}^3$$), the following diagram is obtained. $$x =$$ ___________ (nearest integer).
[Given : Molal freezing point depression constant of water at $$273.15 \text{ K}$$ is $$1.86 \text{ K kg mol}^{-1}$$]
Total number of species from the following with central atom utilising $$sp^2$$ hybrid orbitals for bonding is ___________. $$NH_3$$, $$SO_2$$, $$SiO_2$$, $$BeCl_2$$, $$C_2H_2$$, $$C_2H_4$$, $$BCl_3$$, $$HCHO$$, $$C_6H_6$$, $$BF_3$$, $$C_2H_4Cl_2$$
Login to view the detailed solution.
The ratio of number of oxygen atoms to bromine atoms in the product Q is ___________ $$\times 10^{-1}$$.
If $$z_1, z_2$$ are two distinct complex numbers such that $$\left|\frac{z_1 - 2z_2}{\frac{1}{2} - z_1\bar{z}_2}\right| = 2$$, then
Login to view the detailed solution.
Let $$0 \leq r \leq n$$. If $$^{n+1}C_{r+1} : ^{n}C_{r} : ^{n-1}C_{r-1} = 55 : 35 : 21$$, then $$2n + 5r$$ is equal to:
Login to view the detailed solution.
If all the words with or without meaning made using all the letters of the word "NAGPUR" are arranged as in a dictionary, then the word at $$315^{th}$$ position in this arrangement is :
Login to view the detailed solution.
Let $$ABC$$ be an equilateral triangle. A new triangle is formed by joining the middle points of all sides of the triangle $$ABC$$ and the same process is repeated infinitely many times. If $$P$$ is the sum of perimeters and $$Q$$ is be the sum of areas of all the triangles formed in this process, then :
Login to view the detailed solution.
A software company sets up $$m$$ number of computer systems to finish an assignment in 17 days. If 4 computer systems crashed on the start of the second day, 4 more computer systems crashed on the start of the third day and so on, then it took 8 more days to finish the assignment. The value of $$m$$ is equal to:
Login to view the detailed solution.
If $$P(6, 1)$$ be the orthocentre of the triangle whose vertices are $$A(5, -2)$$, $$B(8, 3)$$ and $$C(h, k)$$, then the point $$C$$ lies on the circle:
Login to view the detailed solution.
If the locus of the point, whose distances from the point $$(2, 1)$$ and $$(1, 3)$$ are in the ratio $$5 : 4$$, is $$ax^2 + by^2 + cxy + dx + ey + 170 = 0$$, then the value of $$a^2 + 2b + 3c + 4d + e$$ is equal to :
Login to view the detailed solution.
$$\lim_{n \to \infty} \frac{(1^2 - 1)(n-1) + (2^2 - 2)(n-2) + \cdots + ((n-1)^2 - (n-1)) \cdot 1}{(1^3 + 2^3 + \cdots + n^3) - (1^2 + 2^2 + \cdots + n^2)}$$ is equal to :
Login to view the detailed solution.
Let $$A = \{1, 2, 3, 4, 5\}$$. Let $$R$$ be a relation on $$A$$ defined by $$xRy$$ if and only if $$4x \leq 5y$$. Let $$m$$ be the number of elements in $$R$$ and $$n$$ be the minimum number of elements from $$A \times A$$ that are required to be added to $$R$$ to make it a symmetric relation. Then $$m + n$$ is equal to :
Login to view the detailed solution.
If $$A$$ is a square matrix of order 3 such that $$\det(A) = 3$$ and $$\det(\text{adj}(-4 \text{adj}(-3 \text{adj}(3 \text{adj}((2A)^{-1}))))) = 2^m 3^n$$, then $$m + 2n$$ is equal to :
Login to view the detailed solution.
Let $$f(x) = \frac{1}{7 - \sin 5x}$$ be a function defined on $$\mathbb{R}$$. Then the range of the function $$f(x)$$ is equal to :
Login to view the detailed solution.
Suppose for a differentiable function $$h$$, $$h(0) = 0$$, $$h(1) = 1$$ and $$h'(0) = h'(1) = 2$$. If $$g(x) = h(e^x)e^{h(x)}$$, then $$g'(0)$$ is equal to:
Login to view the detailed solution.
If the function $$f(x) = \left(\frac{1}{x}\right)^{2x}; x \gt 0$$ attains the maximum value at $$x = \frac{1}{e}$$ then :
Login to view the detailed solution.
If $$\int \frac{1}{a^2 \sin^2 x + b^2 \cos^2 x} dx = \frac{1}{12} \tan^{-1}(3 \tan x) +$$ constant, then the maximum value of $$a \sin x + b \cos x$$, is :
Login to view the detailed solution.
If the area of the region $$\{(x, y) : \frac{a}{x^2} \leq y \leq \frac{1}{x}, 1 \leq x \leq 2, 0 < a < 1\}$$ is $$(\log_e 2) - \frac{1}{7}$$ then the value of $$7a - 3$$ is equal to:
Login to view the detailed solution.
Suppose the solution of the differential equation $$\frac{dy}{dx} = \frac{(2+\alpha)x - \beta y + 2}{\beta x - 2\alpha y - (\beta\gamma - 4\alpha)}$$ represents a circle passing through origin. Then the radius of this circle is :
Login to view the detailed solution.
Let $$\vec{a} = 2\hat{i} + \hat{j} - \hat{k}$$, $$\vec{b} = ((\vec{a} \times (\hat{i} + \hat{j})) \times \hat{i}) \times \hat{i}$$. Then the square of the projection of $$\vec{a}$$ on $$\vec{b}$$ is :
Login to view the detailed solution.
Let $$\vec{a} = 6\hat{i} + \hat{j} - \hat{k}$$ and $$\vec{b} = \hat{i} + \hat{j}$$. If $$\vec{c}$$ is a vector such that $$|\vec{c}| \geq 6$$, $$\vec{a} \cdot \vec{c} = 6|\vec{c}|$$, $$|\vec{c} - \vec{a}| = 2\sqrt{2}$$ and the angle between $$\vec{a} \times \vec{b}$$ and $$\vec{c}$$ is $$60°$$, then $$|(\vec{a} \times \vec{b}) \times \vec{c}|$$ is equal to:
Login to view the detailed solution.
Let $$P(\alpha, \beta, \gamma)$$ be the image of the point $$Q(3, -3, 1)$$ in the line $$\frac{x-0}{1} = \frac{y-3}{1} = \frac{z-1}{-1}$$ and $$R$$ be the point $$(2, 5, -1)$$. If the area of the triangle $$PQR$$ is $$\lambda$$ and $$\lambda^2 = 14K$$, then $$K$$ is equal to :
Login to view the detailed solution.
If three letters can be posted to any one of the 5 different addresses, then the probability that the three letters are posted to exactly two addresses is:
Login to view the detailed solution.
Let $$\alpha, \beta$$ be roots of $$x^2 + \sqrt{2}x - 8 = 0$$. If $$U_n = \alpha^n + \beta^n$$, then $$\frac{U_{10} + \sqrt{2}U_9}{2U_8}$$ is equal to ___________
Login to view the detailed solution.
If $$S(x) = (1+x) + 2(1+x)^2 + 3(1+x)^3 + \cdots + 60(1+x)^{60}$$, $$x \neq 0$$, and $$(60)^2 S(60) = a(b)^b + b$$, where $$a, b \in N$$, then $$(a + b)$$ equal to ___________
Login to view the detailed solution.
The length of the latus rectum and directrices of a hyperbola with eccentricity $$e$$ are 9 and $$x = \pm \frac{4}{\sqrt{13}}$$, respectively. Let the line $$y - \sqrt{3}x + \sqrt{3} = 0$$ touch this hyperbola at $$(x_0, y_0)$$. If $$m$$ is the product of the focal distances of the point $$(x_0, y_0)$$, then $$4e^2 + m$$ is equal to ___________
Login to view the detailed solution.
In a triangle $$ABC$$, $$BC = 7$$, $$AC = 8$$, $$AB = \alpha \in \mathbb{N}$$ and $$\cos A = \frac{2}{3}$$. If $$49\cos(3C) + 42 = \frac{m}{n}$$, where $$\gcd(m, n) = 1$$, then $$m + n$$ is equal to ___________
Login to view the detailed solution.
If the system of equations $$2x + 7y + \lambda z = 3$$, $$3x + 2y + 5z = 4$$, $$x + \mu y + 32z = -1$$ has infinitely many solutions, then $$(\lambda - \mu)$$ is equal to ___________
Login to view the detailed solution.
Let $$[t]$$ denote the greatest integer less than or equal to $$t$$. Let $$f : [0, \infty) \rightarrow \mathbb{R}$$ be a function defined by $$f(x) = \left[\frac{x}{2} + 3\right] - [\sqrt{x}]$$. Let $$S$$ be the set of all points in the interval $$[0, 8]$$ at which $$f$$ is not continuous. Then $$\sum_{a \in S} a$$ is equal to ___________
Login to view the detailed solution.
Let $$[t]$$ denote the largest integer less than or equal to $$t$$. If $$\int_0^3 \left([x^2] + \left[\frac{x^2}{2}\right]\right) dx = a + b\sqrt{2} - \sqrt{3} - \sqrt{5} + c\sqrt{6} - \sqrt{7}$$, where $$a, b, c \in \mathbb{Z}$$, then $$a + b + c$$ is equal to ___________
Login to view the detailed solution.
If the solution $$y(x)$$ of the given differential equation $$(e^y + 1)\cos x \, dx + e^y \sin x \, dy = 0$$ passes through the point $$\left(\frac{\pi}{2}, 0\right)$$, then the value of $$e^{y\left(\frac{\pi}{6}\right)}$$ is equal to ___________
Login to view the detailed solution.
If the shortest distance between the lines $$\frac{x - \lambda}{3} = \frac{y - 2}{-1} = \frac{z - 1}{1}$$ and $$\frac{x + 2}{-3} = \frac{y + 5}{2} = \frac{z - 4}{4}$$ is $$\frac{44}{\sqrt{30}}$$, then the largest possible value of $$|\lambda|$$ is equal to ___________
Login to view the detailed solution.
From a lot of 12 items containing 3 defectives, a sample of 5 items is drawn at random. Let the random variable $$X$$ denote the number of defective items in the sample. Let items in the sample be drawn one by one without replacement. If variance of $$X$$ is $$\frac{m}{n}$$, where $$\gcd(m, n) = 1$$, then $$n - m$$ is equal to ___________
Login to view the detailed solution.
Educational materials for JEE preparation
Share