List of top Questions asked in BITSAT- 2024

A photon of wavelength $ 3000 $ Å strikes a metal surface. The work function of the metal is $ 2.13 $ eV. What is the kinetic energy of the emitted photoelectron? ($ h = 6.626 \times 10^{-34} $ Js)

A conducting wire is stretched by applying a deforming force, so that its diameter decreases to 40% of the original value. The percentage change in its resistance will be:

Number of subsets of set of letters of word 'MONOTONE' is:

The range of $8\sin(\theta) + 6\cos(\theta) + 2$ is:

In the given cycle ABCDA, the heat required for an ideal monoatomic gas will be:

Evaluate the integral: \[ \int \frac{x^2 (x \sec^2 x + \tan x)}{(x \tan x + 1)^2} dx \]

The value of $ \int_0^\infty \frac{dx}{(x^2 + a^2)(x^2 + b^2)} $ is:

Evaluate the integral: \[ \int \sqrt{x + \sqrt{x^2 + 2}} \, dx. \]

Evaluate the integral: \[ \int \frac{x^3 - 1}{x^3 + x} dx \]

The value of $ \int e^{\tan \theta} (\sec \theta - \sin \theta) \, d\theta $ is:

The function \[ f(x) = \frac{\cos x}{\left\lfloor \frac{2x}{\pi} \right\rfloor + \frac{1}{2}}, \] where $ x $ is not an integral multiple of $ \pi $ and $ \lfloor \cdot \rfloor $ denotes the greatest integer function, is:

Consider the function $ f(x) = \frac{|x - 1|}{x^2} $. Then $ f(x) $ is:

The distance from the origin to the image of $(1,1)$ with respect to the line $x + y + 5 = 0$ is:

The locus of the point of intersection of the lines $x = a(1 - t^2)/(1 + t^2)$ and $y = 2at/(1 + t^2)$ (t being a parameter) represents:

The locus of the mid-point of a chord of the circle $x^2 + y^2 = 4$ which subtends a right angle at the origin is:

The coefficient of the highest power of $x$ in the expansion of $(x + \sqrt{x^2 - 1})^8 + (x - \sqrt{x^2 - 1})^8$ is:

The coefficient of $x^2$ term in the binomial expansion of $\left(\frac{1}{3}x^{\frac{1}{3}} + x^{-\frac{1}{4}}\right)^{10}$ is:

The function f: R$\rightarrow$ R is defined by \[ f(x) = \frac{x}{\sqrt{1 + x^2}} \] is:

The number of real solutions of
\[ \sqrt{5 - \log_2 |x|} = 3 - \log_2 |x| \] is:

If $ A = \frac{1}{3} \begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & b \end{bmatrix} $ is an orthogonal matrix, then

In an examination, 62% of the candidates failed in English, 42% in Mathematics and 20% in both. The number of those who passed in both the subjects is:

If a function $ f: \mathbb{R} \setminus \{1\} \rightarrow \mathbb{R} \setminus \{m\} $ is defined by $ f(x) = \frac{x+3}{x-2} $, then $ \frac{3}{l} + 2m = $

The domain of the real-valued function
\[ f(x) = \sqrt{\frac{2x^2 - 7x + 5}{3x^2 - 5x - 2}} \] is:

Let $ [x] $ denote the greatest integer $ \leq x $. If $ f(x) = [x] $ and $ g(x) = |x| $, then the value of:
\[ f \left( g \left( \frac{8}{5} \right) \right) - g \left( f \left( \frac{-8}{5} \right) \right) \] is:

If matrix $ A = \begin{bmatrix} 3 & -2 & 4 \\ 1 & 2 & -1 \\ 0 & 1 & 1 \end{bmatrix} $ and $ A^{-1} = \frac{1}{k} adj(A) $, then $ k $ is