What is the application of linear algebra?
Answer: Linear algebra is one of the important branches of mathematics. Linear algebra is basically the study of vectors and... View Article
Latest Posts
The shortest wavelength for Lyman series is 912Ao. Find shortest wavelength for Paschen and Brackett series in Hydrogen atom.
Answer: Lyman series is displayed when electron transition takes place from higher energy states(nh=2,3,4,5,6,…) to nl=1 energy state. How Spectral... View Article
If x is real, what is the maximum value of (3x2+9x+17)/(3x2+9x+7)? (1) 1 (2) 17/7 (3) 1/4 (4) 41
Answer: (4) 41 \(\begin{array}{l}f(x) = \frac{3x^{2}+9x+17}{3x^{2}+9x+7}\end{array} \) \(\begin{array}{l}f(x) = \frac{3x^{2}+9x+10+7}{3x^{2}+9x+7}\end{array} \). \(\begin{array}{l}f(x) = 1+ \frac{10}{3x^{2}+9x+7}\end{array} \). When 3x2 + 9x... View Article
A 12.5eV electron beam is used to bombard gaseous hydrogen at room temperature. What series of wavelengths will be emitted?
A 12.5eV electron beam is used to bombard gaseous hydrogen at room temperature. What series of wavelengths will be emitted?... View Article
When a metallic surface is illuminate with radiation of wavelength λ, the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2λ, the stopping potential is 4V. The threshold wavelength for the metallic surface is (1) 4λ (2) 5λ (3) 5/2λ (4) 3λ
Answer: (4) 3λ The Threshold frequency is known as the minimum wavelength for the photoelectric effect that the light should... View Article
If the change in the value of g at a height h above the surface of the earth is the same as at a depth d below it. When both d and h are much smaller than the radius of earth, then (1) d = h (2) d = h2 (3) d = h/2 (4) d = 2h
Answer: (4) d = 2h Acceleration due to gravity is the acceleration gained by an object due to gravitational force.... View Article
The ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series in the spectrum of hydrogen is_______
Answer: 5/27 Transition to n=1 and n=2 are refered to as Lyman and Balmer series. For Lyman Series wavelength will... View Article
How do you simplify i(-999)?
Answer: The value of i is √-1. The imaginary unit number is used to express the complex numbers, where i... View Article
Which of the following chemicals dubstance has the strongest hydrogen bond? (1) HCl (2) H2O (3) HI (4) H2S
Answer: (2) H2O The strongest hydrogen bond is formed by an atom with a small size and a larger electronegative... View Article
The sum of the measures of interior angles of a polygon of n sides is equal to (1) 2n right angles (2) (2n – 2) right angles (3) 2(n – 2) right angles (4) 2(n – 4) right angles
The sum of the measures of interior angles of a polygon of n sides is equal to (1) 2n right... View Article
Which of the following sets of quantum numbers is correct for an electron in 3d-orbital? (1) n = 3, l = 2, m = -3 , s = +1/2 (2) n = 3, l = 3, m = +3, s = -1/2 (3) n = 3, l = 2, m = -2, s = +1/2 (4) n = 3, l = 2, m =-3, s = -1/2
Answer: The set of numbers used to describe the position and energy of the electron in an atom are called... View Article
How to find resultant of two vectors?
Answer: In Maths, the resultant vector is defined as the combination of two or more single vectors. We know that... View Article
The distance of the point (α, β) from origin is (1) α.β (2) α2.β2 (3) √α2 – β2 (4) √α2 + β2
Answer: (4) √α2 + β2 The distance between two points is the length of the line segment, joining the given... View Article
The solid ball density to be determined in an experiment. The diameter of the ball is measured with a screw gauge, whose pitch is 0.5mm and there are 50 divisions on the circular scale. The reading on the main scale is 2.5mm and that on the circular scale is 20 divisions. If the measured mass of the ball has a relative error of 2%, then the relative percentage error in the density is (1) 0.9% (2) 2.4% (3) 3.1% (4) 4.2%
Answer: (3) 3.1% The least count of the screw guage is defined as the distance moved by the tip of... View Article
Which of the following sets of concurrent forces may be in equilibrium? (1) F1= 3N, F2 = 5N, F3 = 1N (2) F1 = 3N, F2 = 5N, F3 = 9N (3) F1 = 3N, F2 = 5N, F3 = 6N (4) F1 = 3N, F2 = 5N, F3 = 15N
Answer: (3) F1 = 3N, F2 = 5N, F3 = 6N According to the triangle law of forces If three... View Article
A particle P is moving in a circle of radius r with uniform speed v. C is the centre of the circle and AB in diameter. The angular velocity of P about A and C is in the ratio (1) 4 : 1 (2) 1 : 1 (3) 2 : 1 (4) 1 : 2
Answer: (4) 1: 2 Angular velocity is a vector quantity and is described as the rate of change of angular... View Article
A car of mass m is driven with acceleration a along a straight level road against a constant external resistive force R. When the velocity of the car is V, the rate at which the engine of the car is doing work will be________
Answer: The capacity to do work is termed Energy. The Energy expended to do work in unit time is termed... View Article
Earth’s magnetic field always has a horizontal component except at (1) Magnetic poles (2) Magnetic equator (3) Geographical north pole (4) At an altitude of 45o
Answer: (1) Magnetic poles Except at the magnetic pole, the Earth’s magnetic field is always horizontal. At the magnetic pole,... View Article
The energy required to break one mole of Cl−Cl bonds in Cl2 is 242 kJ mol−1. The longest wavelength of light capable of breaking single Cl−Cl bond is__________ (c = 3 × 108 msec−1, NA = 6.023 × 1023mol−1) (1) 700nm (2) 640nm (3) 594nm (4) 492 nm
Answer: (4) 492 nm Bond energy is required to break the bond. Since breaking a bond requires energy, bond-energies are... View Article
If the pth term of an AP is q and the qth term is p, prove that its nth term is (p + q – n).
Answer: A sequence of numbers that has a common difference between any two consecutive numbers is called an arithmetic progression... View Article
