Which of the following is a non-stoichiometric defect?
(A) Frenkel defect (B) Schottky defect (C) Interstitial defect (D) Metal deficiency defect The Correct Answer is (D) Metal deficiency... View Article
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Let r be the relation on z defined by R = {( a , b ): a , b ∈ Z , a – b is an integer}. Find the domain and range of R.
Given, r is the relation on Z defined by: R={ ( a,b ):a,b∈Z,a−b is an integer } To find: Domain and Range of R Since, the difference... View Article
Which of the following equations have a unique solution or infinitely many solutions. (i) x−3y−3=0;3x−9y−2=0 (ii) 2x+y=5;3x+2y=8
In the following equations we need to find which one have a unique solution or infinitely many solutions. (i) x−3y−3=0;... View Article
Without solving, examine the nature of the roots of the equations 2x² – 6x + 3 = 0.
We need to examine the nature of the roots of the equations 2x² – 6x + 3 = 0. This... View Article
One card is drawn from a well shuffled deck of 52 cards. The probability of getting a jack of red colour is:
One card is drawn from a well shuffled deck of 52 cards. The probability of getting a jack of red... View Article
Derive an expression for torque in terms of the moment of inertia.
Solution: Consider a rigid body rotating about a given axis with a uniform angular acceleration α, under the action of... View Article
A photodiode is operated in the reverse bias. Why?
a) Photocurrent flows only in the reverse direction b) Thermally generated current is large in reverse bias as compared to... View Article
For a body in a circular motion with a constant angular velocity, the magnitude of the average acceleration over a period of half a revolution is…… times the magnitude of its instantaneous acceleration
a) 2/π b) π/2 c) π d) 2 Answer: a) 2/π Solution: Average acceleration, aavg = ΔV/ Δt = 2ωR/(πR/ωR) =2ω2R/π Instantaneous acceleration, ai... View Article
A cat runs along a straight line with a constant velocity of magnitude v. A dog chases the cat such that the velocity of the dog is always directed towards the cat. The speed of a dog is u and always constant. At the instant, both are separated by distance x and their velocities are mutually perpendicular, the magnitude of the acceleration of the dog is.
a) u2/x b) uv/x c) v2/x d) (u2 + v2)/x Answer: b) uv/x Solution: The velocity of cat = v Speed... View Article
In a magnetic field of 0.05T, the area of a coil changes from 101cm2 to 100cm2 without changing the resistance which is 2 Ω. The amount of charge that flow during this period is
a) 2.5 x 10-6 C b) 2 x 10-6 C c) 10-6 C d) 8 x 10-6 C Answer: a) 2.5 x 10-6 C... View Article
The acceleration of a body moving with initial velocity u changes with distance x as a =k2 √x where K is a positive constant. The distance travelled by the body when its velocity becomes 2u is
a) (3u/2k)3/4 b) (3u/2k)4/3 c) (3u/2k)3/2 d) (3u/2k)2/3 Answer: (3u/2k)4/3 Solution: Given, a =k2 √x vdv/dx = k2 √x ⇒ vdv = k2 √x dx \(\begin{array}{l}\int_{u}^{2u}vdv= \int_{x=0}^{x=x}k^{4}\sqrt{x}dx\end{array} \) \(\begin{array}{l}\frac{v^{2}}{2}|_{u}^{2u} =... View Article
Find the equivalent thermal conductivity of the given rod
a) 2k/3 b) 3k c) 3k/2 d) 4k/3 Answer: d) 4k/3 Solution: Let A = Area T1 is the temperature of... View Article
A current of 50 A is passed through a straight wire of length 6 cm, then the magnetic induction at a point 5 cm from either end of the wire is (1 gauss =10−4T)
a) 2.5 gauss b) 1.25 gauss c) 1.2 gauss d) 3.0 gauss Answer: c) 1.5 gauss Solution: B = (μ0I/4πr)[sinθ1 +... View Article
Two charged spherical conductors of radii R1 and R2 are connected by a wire. The ratio of surface charge densities of the sphere σ1/σ2 will be
a) R1/R2 b) R2/R1 c) √(R1/R2) d) R12/R22 Answer: b) R2/R1 The potential will be equal as they are connected with... View Article
The magnetic dipole moment of the current loop is independent of
a) number of turns b) area of the loop c) current in the loop d) magnetic field in which it... View Article
In the adjoining figure, AE = DC = 13 cm BE = 5 cm, ∠ABC=90°& AD = EC = x cm. Calculate the length of AB & the value of x
Now, consider a triangle ABE, By using Pythagoras theorem, AE2 = AB2 + BE2 169 = AB2 + 25 AB2... View Article
A card is drawn from a well shuffled deck of 52cards. Find the probability of getting a king of red suit.
The total number of cards in a deck, n(S) = 52 cards. Let A be the event of getting a... View Article
A game of chance consists of spinning an arrow which is equally likely to come to rest pointing to one of the number 1,2,3……12,then the probability that it will point to an odd number is
The total number of possible outcomes here is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.... View Article
For what value of k, the equation x^2 + 2(k – 4) x + 2k = 0 has equal roots ?
We know that the quadratic equation has equal roots, when the discriminant, D = 0. Given quadratic equation is x2... View Article
If the zeros of the quadratic polynomial ax^2+bx+c,c≠0 are equal, then
The zeroes of the quadratic polynomial are equal when the discriminant is equal to 0. ⇒ D = 0 ⇒... View Article
