A metal M reacts with \[{{N}_{2}}\] to give a compound 'A' (M3N). 'A' on heating at high temperature gives back 'M' and 'A' on reacting with\[{{H}_{2}}O\]gives a gas 'B'. 'B' turns\[CuS{{O}_{4}}\]. Solution blue on passing through it. M and B can be:
If the solutions of \[NaCl\]and \[NaN{{O}_{3}}\]are mixed in one beaker and the temperature adjusted to \[383{}^\circ K\], the contents of the beaker will most likely:
Given the molecular formula of the hexa-coordinated complexes (i) \[CoC{{l}_{3}}.6N{{H}_{3}},\](ii) \[CoC{{l}_{3}}.5N{{H}_{3}},\](iii) \[CoC{{l}_{3}}.4N{{H}_{3}}\]If the number of co-ordmated \[N{{H}_{3}}\]molecules in i, ii and iii respectively are 6, 5, 4, the primary valencies in (i), (ii) and (iii) are:
A white sodium salt dissolves readily in water to give a solution which is neutral to litmus. When silver nitrate solution is added to the solution, a white precipitate is obtained which does not dissolve in dil. \[HN{{O}_{3}}.\]The anion could be
An aqueous solution of 6.3 g oxalic acid dihydrate is made up to 250 mL. The volume of 0.1 N NaOH required to completely neutralize 10 mL of this solution is:
Astronauts look down on earth surface from a space ship parked at an altitude of 500 km. They can resolve objects of the earth of the size (It can be assumed that the pupils diameter is 5mm and wavelength of light is 500 nm)
The wavelength of sodium light in air is \[\text{589}0\overset{{}^\circ }{\mathop{\text{A}}}\,.\]The velocity of light in air is \[3\times {{10}^{-8}}m{{s}^{-1}}.\]The wavelength of light in a glass of refractive index 1.6, would be close to
A space craft of mass 'M', moving with velocity V suddenly breaks into two pieces. After the explosion mass 'm' becomes stationary. What is the velocity of the other part of the craft?
A black body at a temperature of \[227{}^\circ C\]radiates heat at the rate of 20 cal \[{{m}^{-2}}\text{ }{{s}^{-1}}.\]When its temperature rises to \[727{}^\circ C\] the heat radiated will be
Two waves of wavelengths 99 cm and 100 cm both travelling with velocity 396 m/s are made to interfere. The number of beats produced by them per second are
The escape velocity for a body of mass 1 kg from the earth surface is \[11.2\text{ }km{{s}^{-1}}.\]The escape velocity for a body of mass 100 kg would be
There are two wires of the same length. The diameter of second wire is twice that of the first. On applying the same load to both the wires, the extension produced in them will be in ratio of
At the centre of a circular coil of radius 5 cm carrying current, magnetic field due to earth is \[0.5\times {{10}^{-5}}\text{ }W/{{m}^{2}}.\] What should be the current flowing through the coil so that it annuls the earth's magnetic field
A rectangular block of mass m and area of cross-section A floats in a liquid of density \[\rho .\] If it is given a small vertical displacement from equilibrium it undergoes oscillation with a time period T. Then
The internal resistance of a cell is measured by a potentiometer. Which of the following statement is not true for the internal resistance of the cell?
A)
Internal resistance depends between the two electrode plates.
doneclear
B)
Internal resistance does not depend on the area of the plates immersed in the electrolyte.
doneclear
C)
Internal resistance depends on the nature of the electrolyte.
doneclear
D)
Internal resistance depends on the nature of the electrodes.
While determining the specific resistance of a wire using a metre bridge the formula used is (where X, D, L and p denote unknown resistance, diameter of the wire, the length of the wire and the specific resistance of the wire)
Consider the following u-v diagram regarding the experiment to determine the focal length of a convex lens. At the point A, the values of u and v are equal. The focal length of the lens is
DIRECTIONS: Read the following passage and answer the questions that follows:
Two metallic plates A and B, each of area \[5\times {{10}^{-4}}{{m}^{2}},\] are placed parallel to each other at a separation of 1 cm. Plate B carries a positive charge of \[33.7\times {{10}^{-12}}C.\]A mono-chromatic beam of light, with photons of energy 5 eV each, starts falling on plate A at \[t=0\]so that \[{{10}^{6}}\]photons fall on it per square meter per second. Assume that one photoelectron is emitted for every l06 incident photons. Also assume that all the emitted photoelectrons are collected by plate B and the work function of plate A remains constant at the value 2 eV.
DIRECTIONS: Read the following passage and answer the questions that follows:
Two metallic plates A and B, each of area \[5\times {{10}^{-4}}{{m}^{2}},\] are placed parallel to each other at a separation of 1 cm. Plate B carries a positive charge of \[33.7\times {{10}^{-12}}C.\]A mono-chromatic beam of light, with photons of energy 5 eV each, starts falling on plate A at \[t=0\]so that \[{{10}^{6}}\]photons fall on it per square meter per second. Assume that one photoelectron is emitted for every l06 incident photons. Also assume that all the emitted photoelectrons are collected by plate B and the work function of plate A remains constant at the value 2 eV.
Magnitude of electric field between plates A and B at \[t=10\,\,\sec \]
DIRECTIONS: Read the following passage and answer the questions that follows:
Two metallic plates A and B, each of area \[5\times {{10}^{-4}}{{m}^{2}},\] are placed parallel to each other at a separation of 1 cm. Plate B carries a positive charge of \[33.7\times {{10}^{-12}}C.\]A mono-chromatic beam of light, with photons of energy 5 eV each, starts falling on plate A at \[t=0\]so that \[{{10}^{6}}\]photons fall on it per square meter per second. Assume that one photoelectron is emitted for every l06 incident photons. Also assume that all the emitted photoelectrons are collected by plate B and the work function of plate A remains constant at the value 2 eV.
The kinetic energy of the most energetic photo-electron emitted at \[t=10s\]when it reaches the plate B is
A block is placed on a frictionless horizontal table. The mass of the block is m and springs are attached on either side with force constants \[{{K}_{1}}\]and \[{{K}_{2}}.\]If the block is displaced a little and left to oscillate, then the angular frequency of oscillation will be
A beam of light of intensity 12 watt/cm2 is incident on a totally reflecting plane mirror of area 1.5 cm2, then the force (in newton) acting on the mirror will be
A sphere is placed in front of a convex lens of focal length f. The radius of the sphere is much smaller compared to f. The image of the sphere would look spherical if the object distance is
DIRECTION: Each of the questions contains two statements: Statements-1 (Assertion) and Statements-2 (Reason). Choose the correct answer (Only one option is correct) from the following-
Statement 1: An electron is passing through a field and no force acts on it. The field may be magnetic.
Statement 2: On a charged particle, magnetic force is zero if velocity is parallel to magnetic field.
A)
Statements-1 is false, Statements-2 is true.
doneclear
B)
Statements-1 is true, Statements-2 is true; Statements-2 is a correct explanation for Statements-1.
doneclear
C)
Statements-1 is true, Statements-2 is true; Statements-2 is not a correct explanation for Statements-1.
DIRECTION: Each of the questions contains two statements: Statements-1 (Assertion) and Statements-2 (Reason). Choose the correct answer (Only one option is correct) from the following-
Statement-1: In simple harmonic motion, the velocity is maximum when the acceleration is minimum.
Statement-2: Displacement and velocity of SHM differ in phase by \[\frac{\pi }{2}.\]
A)
Statements-1 is false, Statements-2 is true.
doneclear
B)
Statements-1 is true, Statements-2 is true; Statements-2 is a correct explanation for Statements-1.
doneclear
C)
Statements-1 is true, Statements-2 is true; Statements-2 is not a correct explanation for Statements-1.
DIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (Only one option is correct) from the following -
DIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (Only one option is correct) from the following -
Statement-1: Degree of the differential equation \[y=x\times \frac{dy}{dx}+\sqrt{1+{{\left( \frac{dt}{dx} \right)}^{2}}}\]is 2.
Statement-2: In the given equation the power of highest order derivative when expressed as a polynomials in derivatives is 2.
A)
Statement-1 is false, Statement-2 is true.
doneclear
B)
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
doneclear
C)
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
DIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (Only one option is correct) from the following -
Statement-1: Integral part of\[{{\left( \sqrt{3}+1 \right)}^{2n+1}}\] is even where \[n\in I.\]
Statement-2: Integral part of any integral power of the expression of the form of \[p+\sqrt{q}\]is even.
A)
Statement-1 is false, Statement-2 is true.
doneclear
B)
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
doneclear
C)
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
DIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (Only one option is correct) from the following -
Statement-1: Through \[(1,\lambda +1),\]there cannot be more than one-normal to the parabola \[{{y}^{2}}=4x\]if \[\lambda <2.\]
Statement-2: The point \[(1,\lambda +1),\]lies out side the parabola for all \[\lambda \ne 1.\]
A)
Statement-1 is false, Statement-2 is true.
doneclear
B)
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
doneclear
C)
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
DIRECTION: Each of these questions contains two statements: Statement-1 (Assertion) and Statement-2 (Reason). Choose the correct answer (Only one option is correct) from the following -
Statement-1: Out of 5 tickets consecutively numbered, three are drawn at random, the chance that the numbers on them are in A.P. is\[\frac{2}{15}\]
Statement-2: Out of\[(2n+1)\]tickets consecutively numbered, three are drawn at random, the chance that the numbers on them are in A.P. is\[\frac{3n}{4{{n}^{2}}-1}\]
A)
Statement-1 is false, Statement-2 is true.
doneclear
B)
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
doneclear
C)
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
\[\alpha ,\beta \]be the roots of \[{{x}^{2}}-3x+a=0\]and \[\gamma ,\,\delta \]be the roots of \[{{x}^{2}}-12x+b=0\]and numbers \[\alpha ,\beta ,\gamma ,\delta \](in order) form an increasing G.P. then
The probability of A = Probability of B = Probability of\[P(A)\cap P(B)\cap P(C)=0,\,\,P(B\cap C)=0\]and\[P(A\cap C)=\frac{1}{8},P(A\cap B)=0\]the probability that at least one of the events A, B, C exists is
Fifteen coupons are numbered 1, 2 ..... 15, respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is 9, is