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Consider a Vernier calipers in which each 1 cm on the main scale is divided into 8 equal divisions and a screw gauge with 100 divisions on its circular scale. In the Vernier calipers, 5 divisions of the Vernier scale coincide with 4 divisions on the main scale and in the screw gauge, one complete rotation of the circular scale moves it by two divisions on the linear scale. Then:
If a body is projected with speed lesser than escape velocity:
A listener is at rest with respect to the source of the sound. The wind starts blowing along the line, joining the source and the observer. Which of the following quantities do not change?
A particle is in linear simple harmonic motion between two points. A and B,10 cm apart (figure), take the direction from A to B as the positive direction. Choose the correct statement(s).
AO = OB = 5 cm
BC = 8 cm
500 g of mercury is poured into a bent tube whose right arm forms an angle of θ = 30° with the vertical. Crosssectional area of tube is 0.6 cm^{2}. Then,
The dipoles are joined along the axis of magnets as shown in the figure.
Which of the following is/are true?
In a DC circuit, for C and R in series, decay of charge and qt graph are shown.
C_{1} and C_{2} are two capacitors. Then,
Directions: The question has 4 choices, out of which ONE OR MORE is correct.
The figure shows the PV plot of an ideal gas taken through a cycle ABCDA. The part ABC is a semicircle and CDA is half of an ellipse. Then,
The focal length of a thin biconvex lens is 20 cm. When an object is moved from a distance of 25 cm in front of it to 50 cm, the magnification of its image changes from m_{25} to m_{50}. The ratio is m_{50} / m_{25} is
(Round off upto 2 decimal places)
A wire of length l = 6 ± 0.06 cm and radius r = 0.5 ± 0.005 cm and mass m = 0.3 ± 0.003 g. Maximum percentage error in density is
Three objects A, B and C
are kept in a straight line on a frictionless horizontal surface. These have masses m, 2m and m, respectively. The object A moves towards B with a speed 9 m/s and makes an elastic collision with it. Thereafter, B makes completely inelastic collision with C. All motions occur on the same straight line. Find the final speed (in m/s) of the object C.
In a capillary tube of length 20 cm and bore diameter 1 mm1 mm, a very thin glass rod of diameter 0.5 mm is coaxially arranged. The arrangement is dipped in water for which angle of contact with glass is 0°. What is the difference in length of capillary raise if the tube is vertical in a case and is at 30° to the horizontal in other? Express the magnitude in cmcm. Surface tension of water is 0.075 N m^{−1}
An uncharged parallel plate capacitor having its lower end fixed and upper end is attached with spring having spring constant K. Upper plate is in equilibrium before switch is closed. After switch is closed, the condition on the potential of battery so that the system can acquire new equilibrium position without discharging is . Then p + q + r ? [ pp and qq are smallest possible positive integers and V is potential difference across the battery. Ignore gravity]
A point object O is placed on the principal axis of a convex lens of focal length 10cm at 12 cm from the lens. When object is displaced 1mm1mm along the principal axis magnitude of displacement of image is x_{1}. When the lens is displaced by 1mm1mm perpendicular to the principal axis displacement of image is x_{2} in magnitude. The value of x_{1} / x_{2} is ____
Answer the following by appropriately matching the lists based on the information given:
List I includes devices and List II includes processes related to the devices.
Answer the following by appropriately matching the lists based on the information given:
List I includes devices and List II includes processes related to the devices.
A train is travelling on a straight horizontal track with a constant acceleration of 2 m s^{2} across a bridge over a river. When the velocity of the train is 25 m s^{1}, a man inside one of the cars throws a stone horizontally out of a window in a direction perpendicular to direction of motion of the train with a speed of 5 m s^{1} relative to himself. In the absence of air resistance the stone hits the water at point P, 40 m in a horizontal direction from track. Consider point of projection as origin and Cartesian coordinate system as shown in diagram. (Take g = 10 m s^{−2})
Based on above information answer the following questions.
At the instant when stone hits the water, the coordinate of car window from which stone is projected, is
A composite spherical shell is made up of two materials having thermal conductivities K and 2K respectively as shown in the diagram. The temperature at the innermost surface is maintained at T whereas the temperature at the outermost surface is maintained at 10 T. A, B, C and D are four points in the outer material such that AB = BC = CD. Now answer the following questions.
Out of the segments AB, BC and CD the magnitude of the temperature difference will be maximum across
Acetone and carbon disulphide form binary liquid solution showing positive deviation from Raoult's law. If the normal boiling point (Tb) of pure acetone is more than that of pure carbon disulphide, then the correct statement(s) is/are:
On being strongly heated, which of the following substances will give a gas that turns lime water milky?
Which of the following facts about sucrose is/are true?
Which of the following comparisons of ionic radii is/are correct?
In the electrolysis of alumina, cryolite is added to :
Which of the following are crossed aldol products in the given reaction?
Radiation of wavelength 200 Å falls on a platinum surface. If the work function of the metal is 5 eV.Which of the following results are correct about experiment ?
In a constant volume calorimeter, 3.5 g of a gas with molecular weight 28 was burnt in excess oxygen at 298.0 K. The temperature of the calorimeter was found to increase from 298.0 K to 298.45 K due to combustion process. Given that the heat capacity of the calorimeter is 2.5 kJ K^{1}, the numerical value for the enthalpy of combustion of the gas in kJ mol^{1} is
The dissociation constant of a substituted benzoic acid at 25°C is 1.0 x 10^{4}. The pH of a 0.01 M solution of its sodium salt is
The value of n in the molecular formula Be_{n}AI_{2}Si_{6}O_{18} is
Calculate molecular diameter (in nanometer) for a gas if its molar excluded volume is 3.2π ml. Give the answer by multiplying with 10. ((Take N_{A}= 6.0 × 10^{23} )
Find the number of native ores out of the given ores:
pyrolusite, chromite, siderite, cassiterite, calamine, argentite, limestone, chalcopyrite.
Of the following carbonyl compounds, how many would give aldol condensation reaction?
Arrange the following by appropriately matching the lists based on the information given in the paragraph.
List  1 includes dipole moments, hybridisations and shapes of various molecules.
List  2 includes bond lengths, bond angles and bond energies of orbitals participating in hybridisation.
For PCl_{5}, the correct combination is:
Arrange the following by appropriately matching the lists based on the information given in the paragraph.
List  1 includes alkali metals of group 1 in the modern periodic table.
List  2 gives characteristic colours of the elements present in List  1.
Which of the following options has the correct combination considering List  1 and List  2?
Disaccharides are carbohydrates those contain two monosaccharides molecules, each in the hemiacetal form, joined together by the elimination of a water between two hydroxyl groups. Dehydration involves the anomeric carbon of one monosaccharide and may or may not involve the anomeric carbon of the other monosaccharide when the hemiacetal hydroxyl group on an anomeric carbon is involved in a dehydration, the resulting product is an acetal (in common) and glycoside (in carbohydrate).
Sucrose is a nonreducing sugar (while its hydrolysis products glucose and fructose are reducing sugars) because :
If the roots of the equation x^{3 }+ bx^{2} + cx − 1 = 0 form an increasing G.P., then
A real valued function f(x) is such that
where [x] and {x} denote integral and fractional part of x. Then
Let , where [.] denotes the greatest integer function. Then f(x) is
Directions: The question has four choices, out of which ONE or MORE is correct.
If f(x) = (t  2)(t  3) dt for all x ∈ (0, ∞), then
f(x) is a cubic polynomial which has local maximum at x = 1. If f(2) = 18, f(1) = 1 and f'(x) has local minimum at x = 0, then
Let P(x_{1}, y_{1}) and Q(x_{2}, y_{2}) y_{1} < 0, y_{2} < 0 be the end points of the latus rectum of the ellipse x^{2} + 4y^{2} = 4 Find the equation(s) of parabola(s) with latus rectum PQ.
Directions: The question has four choices, out of which ONE or MORE is correct.
or every integer n, let an and bn be real numbers. Let function f : R → R be given by:
, for all integers n.
If f is continuous, then which of the following hold(s) for all n?
What is the number of points in (–∞, ∞) for which x^{2} – x sinx – cosx = 0?
Let P be a variable point on the ellipse with foci F_{1} and F_{2}. If A be the area of triangle PF_{1}F_{2}, then maximum value of A is
L_{1}: 2x + y = 50 and L_{2}: y = mx + 1 are two lines. A point (x, y) is said to be integral point if x, y ∈ I.
The greatest integral value of m for which the point of intersection of L_{1} and L_{2} has integral coordinates is
Let an ordered pair A be defined as A(x, y) where x ∈ prime number, such that x < 10 and y ∈ natural numbers and y ≤ 10.. If the probability that the ordered pair A satisfies the relation x^{2 }− 3y^{2 }= 1 is P then 60P equals.
Let and where , and I3 be the identity matrix of order 3. If the determinant of the matrix is αω^{2}, then the value of α is equal to _________.
If x^{5} − x^{3} + x = a, where x > 0, then the maximum value of 2a − x^{6} is equal to
Match the equations in Column I with the values in Column II.
Which of the following is the correct option?
Match the integrals in Column I with the values in Column II.
Which of the following is the correct option?
The distinct points A(0, 0), B(0, 1), C(1, 0) and D(2a, 3a) are concyclic, then
The region represented by the inequality 2Z − 3i < 3Z − 2i is
357 docs148 tests

JEE Advanced Mock Test  6 (Paper I) Test  54 ques 
JEE Advanced Mock Test  6 (Paper II) Test  54 ques 
357 docs148 tests

JEE Advanced Mock Test  6 (Paper I) Test  54 ques 
JEE Advanced Mock Test  6 (Paper II) Test  54 ques 