List of practice Questions

Two resistances having coefficient of variation of resistivity \(α_1\) and \(α_2\) are having equal resistance. Equivalent temperature coefficient of resistivity in series and parallel combinations are:

A metallic spherical particle of density 7001 kg/m³ and diameter 1 mm is settling steadily due to gravity in a stagnant gas of density 1 kg/m³ and viscosity \( 10^{-5} \) kg/(m·s). Take \( g = 9.8 \) m/s². Assume that the settling occurs in the regime where the drag coefficient \( C_D \) is independent of the Reynolds number and equals 0.44. The terminal settling velocity of the particle, in m/s, rounded off to 2 decimal places, is _____.

The opposite faces of a metal slab of thickness 5 cm and thermal conductivity 400 W m\(^{-1}\) °C\(^{-1}\) are maintained at 500 °C and 200 °C. The area of each face is 0.02 m\(^2\). Assume that the heat transfer is steady and occurs only in the direction perpendicular to the faces. The magnitude of the heat transfer rate, in kW, rounded off to the nearest integer, is ____.

At the instant when OP is vertical and AP is horizontal, the link OD is rotating counter clockwise at a constant rate w=7rad/s. Pin P on link OD slides in the slot BC of link ABC which is hinged at A, and causes a clockwise rotation of the link ABC. The magnitude of angular velocity of link ABC for this instant is _____rad/s (rounded off to 2 decimal places).

A particle is moving in circular path of radius r speed v such that speed is proportional to radius as \(V∝ r^{\frac{3}{2}}\). Then how does time period of revolution depends on r i.e Trn then \(n\) is.

The voltage applied across the resistance R is 200+5 and current in resistance is 20+0.2 then find % error in resistance.

Two rings of equal radius \(R\) arranged perpendicular to each other with common center at \(C\), carrying equal current \(I\). Find magnetic field at \(C\).

Find the potential difference across \(700\) \(Ω\) resistance (i.e. Vo)

\(3, a, b, c\) are in Ap and \(3, a-1, b+1, c+9\) are in GP. Then AM of \(a, b, c\) is

Independent angles AOB, BOC and AOC were observed as shown in figure. The standard error of all observations is same. The adjusted values of these angles using the least squares adjustment are

At t = 0, the bacterial cell number is 10,000 cells/mL. At t = 480 minutes, the cell number increased to 320,000 cells/mL. The mean generation time during this exponential growth period, rounded off to the nearest integer is___ minutes.

The creation of a Right by the Lapse of Time is _______ prescription

Let f: (1, ∞) → (0, ∞) be a continuous function such that for every n ∈ \(\N\), f(n) is the smallest prime factor of n. Then, which of the following options is/are CORRECT ?

Which of the following plant natural products is/are cyanogenic glycoside(s)?

Which of the following plant natural products is/are cyanogenic glycoside(s)?

A change in exchange rate leads to a change in supply and demand of foreign goods in the domestic market and domestic goods in the foreign market. This also leads to an imbalance in the balance of payments. What is Balance of Payments?

Choose the book from the following which was never banned.

In Melville's novel by the same name, Moby Dick is the name of a -

Select the title of the poem by T.S. Eliot whose translation means the young girl weeping.

What is the genre of Shelley's Prometheus Unbound?

Which of the following narrative styles does Joyce use in A Portrait of the Artist as a Young Man?

Which of these writers won the Sahitya Akademi Award for literature?

In which literary work in English does the character Rusty appear?

Name the fictional city where the novel A Passage to India is set.

Which of the following is NOT written by Mulk Raj Anand?