Archives

A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

Speed of the train = 60 km/h = 60 × m/sec Time taken to cross the pole = 9 sec Length of the train = speed × time = m = 150 m... View Article

Plot the input characteristics of BJT mentioning different regions

Solution: The three different configurations of BJT are: Common Base (CB) Configuration Common Emitter (CE) Configuration Common Collector (CC)... View Article

Hysteresis loops for two magnetic materials A and B are given below: These materials are used to make magnets for electric generators, transformer core and electromagnet core. Then it is proper to use:

a) A for transformer and B for electric generators b) A for electric generators and transformers c) B for electromagnets and transformers d) A... View Article

If the perimeter of the equilateral triangle is 180 cm, what will be its area?

Solution: Given perimeter of equilateral triangle = 180 cm All sides of an equilateral triangle are equal in measure. Let a be the side of... View Article

The equation of a straight line which passes through the point (-3, 5) such that the portion of it between the axes is divided by the point in the ratio 5 : 3 (reckoning from x-axis) will be

(a) x+y-2 = 0 (b) 2x+y+1 = 0 (c x+2y-7 = 0 (d) x-y+8 = 0 Solution: Equation of line passing through (-3, 5) is y = mx+c => 5 = -3 + c... View Article

Integrate e^2x.

Solution: We have to find ∫e2x dx. Put u = 2x du = 2 dx => dx = ½ du ∫e2x dx = ∫eu. ½ du = ½ ∫eu du... View Article

Feet to metre formula

Feet to metre formula is used to convert length in feet to metre. The standard unit for measurement of length is metre. Metre is also called the... View Article

The area of a circle inscribed in an equilateral triangle is 48π square units. Then the perimeter of the triangle is (in units)

(a) 72√3 (b) 48√3 (c) 72 (d) 36 Solution: Given area of circle = 48π πr2 = 48π => r2= 48 => r = 4√3 units Let a be the side of... View Article

Find the equation of the plane containing the lines (x−5)/4=(y−7)/4=(z+3)/−5 and (x−8)/7=(y−4)/1=(z−5)/3

If lines lie in same plane then Comparing the values we get = 3(12+5)+3(12+35)+8(4−28) = 51 + 141 − 192 =0 Therefore,... View Article

Let the matrices A and B such that then find the value of A8 – (a) 4B (b) 128B (c)−128B (d)64B

Given, A = Clearly, A = iB ⇒ And = 2B Then, Now, [latex](A^{4})^{2} = (8B)^{2} = 64B^{2} = 64(2B) = 128 B Therefore,... View Article

How to convert 128 in binary?

Binary conversion of decimal number 128 We divide the given decimal number with 2 and note down the remainders 128/2 = 64 ( remainder 0)... View Article

How many possible 9-digit codes can be formed?

We can use numbers from 0 to 9 to form 9-digit code Case 1:If the code has a repetition of numbers then the possibilities are For each of the... View Article

Using the extended euclidean algorithm, find the multiplicative inverse of 12 in Z26

According to the Extended Euclidean Algorithm The multiplicative inverse of an integer b in Zn will exist only if GCD(n,b) = 1 Here n = 26 and b... View Article

Find the general term for the sequence pattern 2, 6, 12, 20, 30,…

By observing the given sequence we get an idea that the pattern is quadratic We can write each term as 12 + 1 = 2 22 + 2 = 6 32 + 3 = 12 42 + 4 =... View Article

The mirror image of the curve Arg(z+i/z−1) = pi/4 across the real line x − y = 0

We know, z = x + iy ∴ = Let ∴ Now, given That is, ⇒Y = X Then, (x−1)(y+1)−xy = x(x−1)+y(y+1)... View Article

Convert 1210.26° in degrees minutes and seconds

We will take the decimal part 0.26°= 0.26 × 60’ = 15.6’ =15’ + (0.6 × 60”) = 15’ 36” Hence,... View Article

Prove that tan theta divided by 1 minus cot theta plus cot theta divided by one minus tan theta is one plus sec theta cosec theta

Given, L.H.S = = R.H.S... View Article

An object is moving in a straight line with constant acceleration. It covers 65 m distance in 5th second and 105 m distance in 9th second. The distance covered by it in 20 seconds is

An object is moving in a straight line with constant acceleration. It covers 65 m distance in 5th second and 105 m distance in 9th second. The... View Article

A body has a charge of –2µC. If it has 2.5 × 10^13 protons, then how many electrons the body has?

A body has a charge of –2µC. If it has 2.5 × 10^13 protons, then how many electrons the body has? Answer: If the body has 2.5 × 10^13 protons,... View Article

In which one of the following regions of the electromagnetic spectrum will the vibrational motion of molecules give rise to absorption?

In which one of the following regions of the electromagnetic spectrum will the vibrational motion of molecules give rise to absorption? (a)... View Article