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A body is thrown with a velocity of 10 m s^{−1} at an angle of 45° to the horizontal. The radius of curvature of its trajectory in t = 1/√2 s after the body began to move is,
The figure below shows a conducting rod of negligible resistance that can slide on smooth Ushaped rail made of wire of resistance 2 Ω/m. The position of the conducting rod at t = 0 is shown. A timedependent magnetic field B = 4t T is switched on at t = 0.
The current in the loop at t = 0 due to induced emf is
A uniform cylinder of length L and mass M having crosssectional area A is suspended, with its length vertical, from a fixed point by a massless spring, such that it is halfsubmerged in a liquid of density at equilibrium position. When the cylinder is given a small downward push and released, it starts oscillating vertically with a small amplitude. If the force constant of the spring is k, the frequency of oscillation of the cylinder is
Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot to choose the correct answer(s) from the choices given below.
A ray of light is incident on a reflecting surface. The ray moves in horizontal direction and is reflected vertically after striking the surface. If the surface is denoted by , what are the coordinates of the point(s) where the ray is incident?
The potential energy function of a particle moving in one dimension is U = k , where a and k are constants. Then,
A spherical metal shell A of radius R_{A} and a solid metal sphere B of radius R_{B} (< R_{A}) are kept far apart and each is given charge '+Q'. Now they are connected by a thin metal wire. Then
The spring is compressed by a distance a and released. The block again comes to rest when the spring is elongated by a distance b. During this process:
In a photoelectric effect experiment, the maximum kinetic energy of the ejected photoelectrons is measured for various wavelengths of the incident light. Diagram shows a graph of this maximum kinetic energy K_{max} as a function of the wavelength λ of the light falling on the surface of the metal. Which of the following statement/s is/are correct?
Two identical objects A and B are at temperatures T_{A} and T_{B} respectively. Both objects are placed in a room with perfectly absorbing walls maintained at a temperature T (T_{A }> T > T_{B}). The objects A and B attain the temperature T eventually. Select the correct statements from the following–
Three points are located at the vertices of an equilateral triangle whose side equals a. They all start moving simultaneously with velocity v constant in modulus, with the first point heading continually for the second, the second for the third, and the third for the first. How soon will the points converge?
A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses 0.36 kg and 0.72 kg. Taking g = 10 m s^{−2}, find the work done (in Joule) by string on the block of mass 0.36 kg during the first second after the system is released from rest.
Two plane mirrors shown in figure are making an angle of 60° to each other. A light ray falls on one of the mirrors as shown in figure. The light ray is incident parallel to angular bisector of mirrors. How many reflections does the light ray undergo?
A point object is placed in front of a thin biconvex lens, of focal length 20 cm. When placed in air, the refractive index of material of lens is 1.5 The further surface of the lens is silvered and is having radius of curvature of 25 cm. The position of final image of object is at 25/x cm from lens. Determine the value of x?
A nail is located at a certain distance vertically below the point of suspension of a simple pendulum. The pendulum bob is given velocity m/s horizontally. Calculate the distance (in m) of the nail from point of suspension, such that the bob will just perform revolution with the nail as centre. Assume, length of pendulum be 5 m.
Illuminate the surface of a certain metal alternately with wave length λ_{1} = 0.35 μm and λ_{2} = 0.54 μm. It is found that the corresponding maximum velocity is of photo electron having a ratio n = 2. Find the work function of that metal (in eV).
(Round off up to 2 decimal places)
A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in the figure. The stick applies a force of 2 N on the ring and rolls t without slipping with an acceleration of 0.3 m/s^{2}. The coefficient of friction between the ground and the ring is large enough that rolling always occurs and the coefficient of friction between the stick and the ring is (P/10). The value of P is
Directions: The following question has four choices, out of which ONLY ONE is correct.
Consider the cell:
Cd(s)  Cd^{2+} (1.0 M)  Cu^{2+} (1.0, M)  Cu(s)
If we want to make a cell with a more positive voltage using the same substances, we should
Given below are two cleavage reactions:
(i) (CH_{3})_{3}COCH_{3} → CH_{3}I + (CH_{3})_{3}COH
(ii) (CH_{3})_{3}COCH_{3} → CH_{3}OH + (CH_{3})_{3}CI
In which of the following molecules / ions resonance structures are equivalent:
What is the ratio of closed packed atoms to tetrahedral holes in a cubic close packing?
What will be the effect of addition of a catalyst at constant temperature?
Which of the following statements are correct about the reaction given below?
Which of the following is/are correct below the polymer (E) ?
Which of the following are possible products (in significant amount)
Which of the following statements is/are correct regarding defects in solids?
Which of the following factors is/are responsible for increase in the rate of surfacecatalysed reactions?
1. A catalyst provides proper orientation for the reactant molecules to react.
2. Heat of adsorption of reactants on a catalyst helps the reactant molecules to overcome the activation energy.
3. The adsorption of reactants on the catalyst surface decreases the activation energy of the reaction.
4. Adsorption increases the local concentration of reactant molecules on the surface of the catalyst.
What happens when a mixture of NaCl and K_{2}Cr_{2}O_{7} is gently warmed with conc. H_{2}SO_{4}?
Which of the following statements is/are correct?
Acetylene undergoes linear polymerisation when passed through a solution of cuprous chloride in ammonium chloride. How many acetylene molecules unite to form a molecule of the polymer?
1.00 L sample of a mixture of methane gas and oxygen gas measured at 25°C and 740 torr was allowed to react at constant pressure in a calorimeter. The calorimeter together with its contents had a heat capacity of 1000 cal/K. The complete combustion of methane to CO_{2} and water caused a rise in temperature of 0.42 K. Heat of the following reaction is ΔH =  210.8 kcal.
CH_{4} (g) + 2O2_{ }(g) → CO_{2} (g) + 2H_{2}O (I) Mole percentage of methane in the original mixture is
The coordination number of AI in the crystalline state of AICI_{3} is
The total number of alkenes possible by dehydrobromination of 3–bromo–3–cyclopentylhexane using alcoholic KOH is –
Atomicity of white or yellow phosphorous is 4 and it is represented as P_{4} molecule. Calculate the value of expression (x).(y) / (z) regarding this molecule.
Where, x : Total number of vertex angles in P_{4} molecule.
y : Total number of lone pairs of electrons in P_{4} molecule.
z : Total number of P  P bonds in P4 molecule.
The periodic table consists of 18 groups. An isotope of copper, on bombardment with a protons, undergoes a nuclear reaction, yielding an element, X as shown below. To which group, element X belongs in the periodic table ?
A continuous, even periodic function f with period 8 is such that f(0) = 0, f(1) = −2, f(2) = 1, f(3) = 2, f(4) = 3, then the value of tan^{−1}tan{f(−5) + f(20) + cos^{−1}(f(−10)) + f(17)} is equal to
Directions: The following question has FOUR options, out of which ONLY ONE is correct.
The value of is
Let the eccentricity of the hyperbola be the reciprocal of that of the ellipse x^{2} + 4y^{2} = 4. Also, the hyperbola passes through a focus of the ellipse. Then, the equation of the hyperbola is
Directions: The following question has four choices, out of which ONE or MORE can be correct.
Three lines px + qy + r = 0, qx + ry + p = 0 and rx + py + q = 0 are concurrent, if
Directions: The following question has four choices, out of which ONE or MORE can be correct.
The function f(x) = (e^{t}  1)(t  1)(t  2)^{3}(t  3)^{5} dt has a local minimum at x equal to
Directions: The following question has four choices, out of which ONE or MORE can be correct.
If f(x) = , then
Let PQ be a chord of the parabola y^{2} = 4x. A circle drawn with PQ as diameter passes through the vertex V of the parabola. If area of ΔPVQ = 20 square units then coordinates of P are
If m is a positive integer, then is divisible by (where[.] denotes the greatest integer function)
The solutions of x^{2}y_{1}^{2 }+ xyy_{1} − 6y^{2} = 0 are
If a variable straight line xcosα + ysinα = p which is a chord of the hyperbola subtend a right angle at the centre of the hyperbola, then it always touches a fixed circle whose
The adjoining Figure gives the road plan of lines connecting two parallel roads AB and A_{1}B_{1}. A man walking on the road AB takes a turn at random to reach the road A_{1}B_{1}. It is known that he reaches the road A_{1}B_{1} from O by talking a straight line. The chance that he moves on a straight line from the road AB to the A_{1}B_{1} is
A bag contains n white and n black balls (all different). Pairs of balls are drawn onebyone without replacement until the bag is empty. If the number of ways to draw the balls in which each pair consists of one black and one white ball is 576, then the value of n is equal to__
If and b_{n} = 1 − a_{n}, then the smallest natural number n, such that b_{n} > a_{n}, is
Let are unit vectors such that . If the area of triangle formed by vectors and is A, then what is the value of 16A^{2}?
Given that α and γ are the roots of the equation Ax^{2}  4x + 1 = 0, and β and δ are the roots of the equation Bx^{2}  6x + 1 = 0. Find the value of (B  A)/10, such that α, β, γ, δ are in H.P.
(Answer round off upto 1 decimal place)
If 27iz^{3}  18z^{2}  12z  8i = 0, and z = x + iy, the greatest value of is
If range of the function f(x) = sin^{1} x + 2 tan^{1} x + x^{2} + 4x + 1 is [a, b], then the value of a + b is
357 docs148 tests

JEE Advanced Mock Test  3 (Paper II) Test  54 ques 
JEE Advanced Mock Test  4 (Paper I) Test  54 ques 
JEE Advanced Mock Test  4 (Paper II) Test  54 ques 
JEE Advanced Mock Test  5 (Paper I) Test  54 ques 
JEE Advanced Mock Test  5 (Paper II) Test  54 ques 
357 docs148 tests

JEE Advanced Mock Test  3 (Paper II) Test  54 ques 
JEE Advanced Mock Test  4 (Paper I) Test  54 ques 
JEE Advanced Mock Test  4 (Paper II) Test  54 ques 
JEE Advanced Mock Test  5 (Paper I) Test  54 ques 
JEE Advanced Mock Test  5 (Paper II) Test  54 ques 