List of top Questions asked in BITSAT

What is the angle between the two straight lines \( y = (2 - \sqrt{3})x + 5 \) and \( y = (2 + \sqrt{3})x - 7 \)?

If the sum of an infinite GP \( a, ar, ar^2, ar^3, \dots \) is 15 and the sum of the squares of each term is 150, then the sum of the series \( ar^2, a r^4, ar^6, \dots \) is:

If the coordinates of the points A and B are (3, 3) and (7, 6), then the length of the portion of the line AB intercepted between the axes is:

The maximum value of \( z = 5x + 2y \) subject to the constraints: \[ x + y \leq 7, \quad x + 2y \leq 10, \quad x, y \geq 0 \]

Among the ligands \( {NH}_3, \, {en}, \, {CN}^-, \, {CO} \), the correct order of their increasing field strength is:

A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:

In an LC oscillator, if the values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of the oscillator becomes \( x \) times its initial resonant frequency \( \omega_0 \). The value of \( x \) is:

The ratio in which the YZ-plane divides the line segment formed by joining the points (-2, 4, 7) and (3, -5, 8) is 2 : m.
The value of m is:

The ratio of the speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:

The derivative of \( e^{x^3} \) with respect to \( \log x \) is:

Which of the following factors affect the basic strength of amines?
(i) Inductive effect
(ii) Steric hindrance
(iii) Solvation effect
(iv) Solubility in organic solvents

Electrode potential data are given below: \[ {Fe}^{3+}({aq}) + e^- \rightarrow {Fe}^{2+}({aq}); E^\circ = +0.77 \, {V} \] \[ {Al}^{3+}({aq}) + 3e^- \rightarrow {Al}({s}); E^\circ = -1.66 \, {V} \] \[ {Br}_2({aq}) + 2e^- \rightarrow 2{Br}^-({aq}); E^\circ = +1.08 \, {V} \] Based on the data, the reducing power of \( {Fe}^{2+} \), Al, and \( {Br}^- \) will increase in the order:

The Bohr orbit radius for the hydrogen atom (\(n = 1\)) is approximately 0.530 \({Å}\). The radius for the first excited state (\(n = 2\))
orbit is (in \({Å}\)):

The sequence of folding a paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?