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The V-I graph for a conductor at temperature T₁ and T₂ are as shown in fig. The term (T₂−T₁) is proportional to

a) cos2θ b) sinθ c) cot2θ d) tanθ Answer: c) cot2θ Solution: T2 – T1 = tan(90 – θ) – tan θ = cot θ... View Article

A circular loop is kept in that vertical plane which contains the north-south direction. It carries a current that is towards north at the topmost point. Let A be a point on the axis of the circle to the east of it and B be a point on this axis to the west of it. The magnetic field due to the loop

a) is towards east at A and towards west at B b) is towards west at A and towards east at... View Article

An observer A and a charge Q are fixed in a stationary frame F₁. An observer B is fixed in a frame F₂, which is moving with respect to F₁

(a) Both A and B will observe electric fields. (b) Both A and B will observe magnetic fields. (c) Neither... View Article

A ray of light travelling along the line x+y=1 is inclined on the x-axis and after refraction it enters the other side of the x-axis by turning 15⁰ away from the x-axis. The equation of the line along which the refraction ray travels is

a) √3y-x+1 = 0 b) √3y+x+1 = 0 c) √3y+x-1 = 0 d) None of these Answer: d) None of these Solution: Slope =... View Article

Three blocks are connected by strings as shown in the figure and pulled by a force F = 60N. If m_A =10 kg, m_B =20 kg, and m_C=30 kg, then:

a) acceleration of the system is 2m/s2 b) T1 = 10 N c) T2 = 30 N d) T1 =... View Article

A current of 10 A flows around a closed path in a circuit that is in the horizontal plane as shown in the figure. The circuit consists of eight alternating areas of radii r₁=0.08m and r₂=0.12m. Each arc subtends the same angle at the centre.

(a) Find the magnetic field produced by this circuit at the centre. (b) An infinitely long straight wire carrying of... View Article

Convert 1 minute to milliseconds.

We know that the minute and milliseconds are the units of time. The symbol to represent minute is “min” and... View Article

How to find the angle between vector and x axis?

The angle between the vector and the x-axis can be determined using methods such as dot product of two vectors,... View Article

The P.I. of (3D^2+D−14)y=13e^2x is:

Given equation: (3D2+D−14)y=13e2x Thus, the P. I of (3D2+D−14)y=13e2x is: P.I = [1/(3D2+D−14)] . (13e2x) Now, replace D by 2, ... View Article

Can a determinant be calculated for a 5×4 matrix?

In Mathematics, a determinant is defined as the scalar value, which is the function of the entries in the square... View Article

What is meant by transformations of functions?

In Mathematics, the transformation of function represents the change of one function to the other function. The four types of... View Article

The bar graph given alongside shows the amount of wheat purchased by the government during the year 1998 – 2002. Read the bar graph and write down your observations. In which year was (i) the wheat production maximum (ii) the wheat production minimum?

Bar Graph: (i) Wheat Production – Maximum: From the given bar graph, the highest bar is in the year 2002.... View Article

The area bounded by the curve y = cos x, the x-axis and the ordinates x=0 and x=2pi

The area bounded by the curve y = cos x, the x-axis and the ordinated x=0 and x=2 is given... View Article

Let f(x) be a polynomial satisfying limit x tends to infinity [x^2f(x)/(2x^5 + 3)]=6, also f(1)=3, f(3)=7, and f(5)=11, then find the value of [f(6) + 5f(4)]/29.

Given, \(\begin{array}{l}\displaystyle \lim_{ x\to\infty} \frac{x^{2}f(x)}{2x^{5}+3}=6\end{array} \) then, f(x) is a polynomial function of degree 3 [ If the degree of... View Article

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