List of practice Questions

Two particles each of mass $m$ are separated by a distance $d$. If the mass of one of the particles is doubled without changing the distance between the two particles, then the shift in the position of the center of mass is

The relation between time $ t $ and displacement $ x $ is $ t = \alpha x^2 + \beta x $, where $\alpha$ and $\beta$ are constants. If $ \nu $ is the velocity, the retardation is:

In which of the following metals extraction, impurities are removed as slag?

The differential equation of the family of hyperbolas having their centers at origin and their axes along the coordinate axes is:

Find the differential equation representing the family of circles having their centers on the Y-axis. Given that $ y_1 = \frac{dy}{dx} $ and $ y_2 = \frac{d^2y}{dx^2} $.

A photoelectron emitted when a light of wavelength 2480 $\mathring{A}$ falls on a metal, enters a uniform magnetic field of $ \frac{1}{4} \times 10^{-5} $ T perpendicular to it and moves in a circular path of maximum radius 1 m. The work function of the metal is nearly:

The correct sequence of acidic strength of the following aliphatic acids in their decreasing order is: $CH_3CH_2COOH$, $CH_3COOH$, $CH_3CH_2CH_2COOH$, $HCOOH$

Choose the incorrect statements regarding definition of Living:
(A) Cell division replaces lost cells in certain tissues
(B) In living organisms, growth is from outside
(C) Metabolism is the sum total of all chemical reactions occurring in the living organism
(D) In unicellular organisms, reproduction is not synonymous with the growth

What is the HIV prophylaxis?

The point (a, b) is the foot of the perpendicular drawn from the point (3, 1) to the line x + 3y + 4 = 0. If (p, q) is the image of (a, b) with respect to the line 3x - 4y + 11 = 0, then $\frac{p}{a} + \frac{q}{b} = $

The representation of octal number $(532.2){_8}$ in decimal is ____ .

Given the signal,
$X(t) = cos t$, if $t<0 $
$Sin\ t$, if $t\ge0 $
The correct statement among the following is?

A linear system at rest is subject to an input signal $r(t) = 1 - e^{-t}$. The response of the system for t>0 is given by $c(t) = 1 - e^{-2t}$. The transfer function of the system is:

In the given circuit below, voltage $V_C(t)$ is: