If a semiconductor photodiode can detect a photon with a maximum wavelength of 400nm
If a semiconductor photodiode can detect a photon with a maximum wavelength of 400nm, then its band gap energy is... View Article
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The mass density of a planet of radius R varies with the distance r
The mass density of a planet of radius R varies with the distance r from its centre as ρ(r) =... View Article
A block of mass m attached to a massless spring
A block of mass m attached to a massless spring is performing oscillatory motion of amplitude ‘A’ on a frictionless... View Article
The speed verses time graph for a particle is shown in the figure.
The speed verses time graph for a particle is shown in the figure. The distance travelled (in m) by the... View Article
In a photoelectric effect experiment, the graph of stopping potential V
In a photoelectric effect experiment, the graph of stopping potential V versus reciprocal of wavelength obtained is shown in the... View Article
Identify the operation performed by the circuit
Identify the operation performed by the circuit given below: 1) NOT 2) OR 3) AND 4) NAND Answer: (3) Hence... View Article
For a uniform rectangular sheet shown in the figure
For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to... View Article
A quantity x is given by (IFv2/WL4) in terms of moment of inertia I, force F, velocity v, work W and Length L.
A quantity x is given by (IFv2/WL4) in terms of moment of inertia I, force F, velocity v, work W... View Article
If for all real triplets (a,b,c) and f(x) = a + bx + cx2 then integration of f(x)dx is equal to
a) 2(3f(1)+2f(1/2)) b) (1/3)(f(0)+f(1/2)) c) (1/2) (f(1)+3f(1/2)) d) (1/6)(f(0)+f(1)+4f(1/2)) Solution: f(x) = a+ bx + cx2 f(0) = a, f(1)... View Article
Negation of the statement: ′√5 is an integer or 5 is irrational′ is
a) √5 is irrational or 5 is an integer. b) √5 is not an integer or 5 is not irrational.... View Article
If f’(x) = tan -1 (sec x + tan x ), (-π/2) < x < (π/2), and f(0) = 0, then f(1) is equal to:
a) (π+1)/4 b) (π+2)/4 c) 1/4 d) (π-1)/4 Solution: f’(x) = tan-1 (sec x + tan x) = tan-1 ((1+... View Article
Let z be a complex number find the value of |z+3i|
Let z be a complex number such that \(\begin{array}{l}{\left | \frac{z-i}{z+2i} \right |}= 1\end{array} \) and \(\begin{array}{l}{\left | z\right |}=... View Article
If the matrices A is given, B = adj A and C = 3A, then …
If the matrices A = \(\begin{array}{l}\begin{bmatrix} 1 & 1 &2 \\ 1& 3&4 \\ 1 & -1&3 \end{bmatrix}\end{array} \) ,... View Article
If f(x) is continuous at x = 0 then a + 2b is equal to:
If f(x) = is continuous at x = 0 then a + 2b is equal to: a) -2 b) 1... View Article
Let z be those complex number which satisfies |z + 5| ≤ 4 and z (1 + i) + [latex]bar{z}[/latex] (1 – i) ≥ – 10, i = √-1. If the maximum value of |z + 1|2 is ɑ + β√2, then the value of ɑ + β is
Solution: Answer: 48 Given, |z + 5| ≤ 4 (x + 5)2 + y2 ≤ 16 Also, z (1 + i) +... View Article
Let the normals at all the points on a given curve pass through a fixed point (a, b). If the curve passes through (3, – 3) and (4, – 2 √2), and given that a – 2√2b = 3, then (a2 + b2 + ab) is equal to
Solution: Answer: 9 Let the equation of normal is Y – y = (- 1 / m) (X – x),... View Article
If the arithmetic mean and the geometric mean of the pth and qth terms of the sequence – 16, 8, – 4, 2, … satisfy the equation 4x2 – 9x + 5 = 0, then p + q is equal to
Solution: Answer: 10 Given, 4x2 – 9x + 5 = 0 (x – 1) (4x – 5) = 0 AM... View Article
For some real numbers α and β, then β -ɑ is equal to
If the matrix \(\begin{array}{l}A = \begin{bmatrix} 1 & 0 & 0\\ 0 & 2 & 0\\ 3 & 0 &... View Article
Let L be a common tangent line to the curves 4x2 + 9y2 = 36 and (2x)2 + (2y)2 = 31. Then the square of the slope of the line L is
Solution: Answer: 3 E : (x2 / 9) + (y2 / 4) = 1 C : x2 + y2 =... View Article
In Im,n = ∫01 xm-1
In Im,n = ∫01 xm-1 (1 – x)n-1 dx, for m, n ≥ 1 and ∫01 [xm-1 + xn-1] /... View Article
