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A 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity of 2 rev/s at the bottom of the circle. The crosssectional area of the wire is 0.065 cm^{2}. Calculate the elongation of the wire when the mass is at the lowest point of its path.
Two bullets A and B are fired horizontally with speed v and 2v respectively.which of the following is true
The displacement of a damped harmonic oscillator is given by:
x(t) = e^{0.1t} cos (10πt + φ). Hence, t is in seconds.
The time taken for its amplitude of vibration to drop to half of its initial value is close to:
1 mole of a monoatomic gas is mixed with 3 moles of a diatomic gas. What is the molecular specific heat of the mixture at constant volume?
The average distance a molecule can travel without colliding is called the
Value of gas constant, R for one mole of a gas is independent of the
According to kinetic theory of gases, 0K is that temperature at which for an ideal gas
Four moles of an ideal diatomic gas is heated at constant volume from 20° C to 30° C. The molar specific heat of the gas at constant pressure (Cp) is 30.3 Jmol^{1}K^{1} and the universal gas constant (R) is 8.3 Jmol^{1}K^{1}. The increase in internal energy of the gas is
Three moles of an ideal monoatomic gas is initially in the state A shown in the adjoining pressuretemperature graph. It is taken to state B without changing its pressure. If R is the universal gas constant, the work done by the gas in this process is
A second pendulum is mounted in a space shuttle. Its period of oscillations will decrease when rocket is:
Find the amplitude of the S.H.M whose displacement y in cm is given by equation y= 3 sin157t + 4 cos157t, where t is time in seconds.
A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is:
What is the maximum Kinetic energy and minimum potential energy of a harmonic oscillator with amplitude 0.03m, force constant 4×10^{5} N/m and total mechanical energy of 230 J.
The velocity and acceleration amplitudes of body executing simple harmonic motion is
A particle of mass m is executing oscillation about the origin on Xaxis. Its potential energy is V(x)=K∣x∣^{3}. Where K is a positive constant. If the amplitude of oscillation is a, then its time period T is proportional to.
Energy is supplied to the damped oscillatory system at the same rate at which it is dissipating energy, then the amplitude of such oscillations would become constant. Such oscillations are called
In the ideal case of zero damping, the amplitude of simple harmonic motion at resonance is:
The necessary condition for phenomenon of interference to occur is
The equation of wave is given by
Y = 10^{2} sin 2π (160t – 0.5x + π/4)
where x and Y are in m and t in s. The speed of the wave is _______ km h^{1}.
An organ pipe 40 cm long is open at both ends. The speed of sound in air is 360 ms^{1}.The frequency of the second harmonic is ___________ Hz.
A simple pendulum with length 100 cm and bob of mass 250 g is executing S.H.M. of amplitude 10 cm. The maximum tension in the string is found to be x/40 N. The value of x is ________.
The amplitude of a particle executing SHM is 3 cm. The displacement at which its kinetic energy will be 25% more than the potential energy is: ___________ cm
A particle of mass 250 g executes a simple harmonic motion under a periodic force F = (25x)N. The particle attains a maximum speed of 4 m/s during its oscillation. The amplitude of the motion is ___________ cm.
Which of the following correctly ranks the cycloalkanes in order of increasing ring strain per methylene group?
Which of the following cycloalkanes exhibits the greatest molar heat of combustion per —CH_{2} — group?
Arrange in increasing order of basicity. HC≡C−, CH_{3}CH=CH−, CH_{3}CH_{2}−
What are the hybridization and shapes of the following molecules?
(i) CH_{3}F
(ii) HC ≡ N
Direction (Q. Nos. 1115) This section contains 5 multiple choice questions. Each question has four choices (a), (b), (c) and (d), out of which ONE or MORE THAN ONE are correct.
Q. Consider the following compounds.
The correct statement regarding properties of above mentioned compounds is/are
The compound shown below evolve hydrogen gas when refluxed with potassium metal, why?
Which of the following behaves both as a nucleophile and as an electrophile?
Butanone is a fourcarbon compound with the functional group –
A tertiary butyl carbocation is more stable than a secondary butyl carbocation because
Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Benzene is more stable than hypothetical cyclohexatriene
Reason R : The delocalised π electron cloud is attracted more strongly by nuclei of carbon atoms.
In the light of the above statements, choose the correct answer from the options given below:
Given below are two statements.
Statement I: The compound is optically active.
Statement II: is mirror image of above compound A.
Which of the following compounds react most readily with Br(g)?
When propene reacts with HBr in the presence of peroxide, it gives rise to
The position of double bond in alkenes can be located by :
The compound C_{3}H_{4} has a triple bond, which is indicated by its reaction with
Consider the above chemical reaction. The total number of stereoisomers possible for Product 'P' is _____________.
The minimum number of moles of O_{2} required for complete combustion of 1 mole of propane and 2 moles of butane is _____.
In the following sequence of reactions the maximum number of atoms present in molecule 'C' in one plane is _________.
(A is a lowest molecular weight alkyne)
Consider the following chemical reaction.
The number of sp^{2} hybridized carbon atom(s) present in the product is ________.
The major product 'A' of the following given reaction has _____________ sp^{2} hybridized carbon atoms.
In the given figure, coordinates of the midpoint of AB are?
Equation of the plane perpendicular to the plane x – 2y + 5z + 1 = 0 which passes through the points (2, –3, 1) and (–1, 1, –7) is given by?
If a line OP of length r (Where 'O' is the origin) makes an angle α with xaxis and lies on the xzplane, then what are the coordinates of P?
If the projections of a line on the axes are 9, 12 and 8. Then the length of the line is?
The plane meets the coordinate axes at A, B, C respectively. D and E are the midpoints of AB and AC respectively. Coordinates of the midpoint of DE are?
The foot of the perpendicular from (0, 2, 3) to the line is?
In a single throw of two dice, find the probability that neither a doublet nor a total of 10 will appear.
A letter is known to have come from either TATANAGAR or CALCUTTA. On the envelope, just two consecutive letters, TA, are visible. The probability that the letter has come from CALCUTTA is
Two numbers x and y are chosen at random without replacement from the first 30 natural numbers. The probability that x^{2}  y^{2} is divisible by 3 is
Three numbers are chosen at random from the first 20 natural numbers. The probability that the selected numbers form a G.P. is
The probability that in a group of 3 people, at least two will have the same birthday is
Past records show that on an average, 1 house out of 1000 in a certain district has a fire during a year. If there are 2000 houses in that district, the probability that 5 houses will have a fire is
Alex is taking readings of an experiment. He calculated the algebraic sum of deviation of 25 observations which were measured from 40 was found out to be 5. What is the mean of the readings?
A scientist was weighing each of 30 fishes. Their mean weight worked out is 30 g and standard deviation is 2 g. Later, it was found that the measuring scale was misaligned and always underreported every fish's weight by 2 g. The correct mean and standard deviation (in g) of fishes, are respectively
If the standard deviation of x_{1}, x_{2}, …, x_{n} is 3.5, then the standard deviation of – 2x_{1} – 3, – 2x_{2} – 3, …, – 2x_{n} – 3 is:
The mean of 6 distinct observations is 6.5 and their variance is 10.25. If 4 out of 6 observations are 2, 4, 5 and 7, then the remaining two observations are:
Consider three observations a, b and c such that b = a + c. If the standard deviation of a + 2, b + 2, c + 2 is d, then which of the following is true?
The mean of five observations is 5 and their variance is 9.20. If three of the given five observations are 1, 3 and 8, then a ratio of other two observations is:
If the variance of the terms in an increasing A.P. b_{1}, b_{2}, b_{3}, ..., b_{11} is 90, then the common difference of this A.P. is ________.
If the variance of the first n natural numbers is 10 and the variance of the first m even natural numbers is 16, then m + n is equal to _______.
If the mean and variance of four numbers 3, 7, x and y(x > y) be 5 and 10 respectively, then the mean of four numbers 3 + 2x, 7 + 2y, x + y and x  y is ______.
Let A be the event that the absolute difference between two randomly choosen real numbers in the sample space [0, 60] is less than or equal to a. If P (A) = 11/36, then a is equal to _______.
A bag contains six balls of different colours. Two balls are drawn in succession with replacement. The probability that both the balls are of the same colour is p. Next four balls are drawn in succession with replacement and the probability that exactly three balls are of the same colour is q. If p: q = m : n, where m and n are coprime, then m + n is equal to:
357 docs148 tests

JEE Main Part Test  4 Test  75 ques 
JEE Main Part Test  5 Test  75 ques 
JEE Main Part Test  6 Test  75 ques 
Schedule and Syllabus of JEE Mock Test Series Doc  1 pages 
357 docs148 tests

JEE Main Part Test  4 Test  75 ques 
JEE Main Part Test  5 Test  75 ques 
JEE Main Part Test  6 Test  75 ques 
Schedule and Syllabus of JEE Mock Test Series Doc  1 pages 