BITSAT 2026 April 16 Shift 2 Question Paper: Download Answer Key with Solutions PDF

The combination of the gates shown in the following figure yields

• (a) NAND gate
• (b) OR gate
• (c) NOT gate
• (d) XOR gate

A series LCR circuit consists of \( R = 80\,\Omega \), \( X_L = 100\,\Omega \), and \( X_C = 40\,\Omega \). The input voltage is \( 2500 \cos(100\pi t) \) V. The amplitude of current in the circuit is

• (a) 25 A
• (b) 50 A
• (c) 75 A
• (d) 100 A

The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeability \( \frac{4}{3} \) for this wavelength, will be:

• (a) 15°
• (b) 30°
• (c) 45°
• (d) 60°

Two lighter nuclei combine to form a comparatively heavier nucleus by the relation \[ \frac{2}{1}X + \frac{2}{1}X = \frac{4}{2}Y \] The binding energies per nucleon of \( \frac{2}{1}X \) and \( \frac{4}{2}Y \) are 1.1 MeV and 7.6 MeV respectively. The energy released in this process is

• (a) 26 MeV
• (b) 56 MeV
• (c) 78 MeV
• (d) 108 MeV

A given ray of light suffers minimum deviation in an equilateral prism P. Additional prisms Q and R of identical shape and of same material as that of P are now combined as shown in the figure. The ray will now suffer

• (a) greater deviation
• (b) no deviation
• (c) same deviation as before
• (d) total internal reflection

Which of the following gases has the highest rate of diffusion?

• (A) O\(_2\)
• (B) CO\(_2\)
• (C) H\(_2\)
• (D) N\(_2\)

What is the IUPAC name of the compound: CH\(_3\) – CH\(_2\) – CH(CH\(_3\)) – CH\(_2\) – CH\(_3\)

• (A) 3-Methylpentane
• (B) 2-Methylpentane
• (C) 3-Methylbutane
• (D) 2-Methylbutane

A first-order reaction is 25% complete in 30 minutes. How much time will it take for the reaction to be 75% complete?

• (A) 90 min
• (B) 60 min
• (C) 120 min
• (D) 150 min

Which of the following substances does not undergo hydrolysis in aqueous solution?

• (A) Sodium acetate
• (B) Ammonium chloride
• (C) Sodium carbonate
• (D) Sodium chloride

How many moles of oxygen are required to completely combust 1 mole of propane (C\(_3\)H\(_8\))?

• (A) 4 moles
• (B) 5 moles
• (C) 6 moles
• (D) 3 moles

The area of the region bounded by the curves \( x = y^2 - 2 \) and \( x = y \) is

• (A) \( \frac{9}{4} \)
• (B) 9
• (C) \( \frac{9}{2} \)
• (D) \( \frac{9}{7} \)

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

• (A) \( e^{\tan \theta} \sec \theta + c \)
• (B) \( e^{\tan \theta} \sin \theta + c \)
• (C) \( e^{\tan \theta} (\sec \theta + \sin \theta) + c \)
• (D) \( e^{\tan \theta} \cos \theta + c \)

If \( \vec{a} = 2\hat{i} + \hat{j} + 2\hat{k} \), then the value of \( |\hat{i} \times (\vec{a} \times \hat{i})|^2 + |\hat{j} \times (\vec{a} \times \hat{j})|^2 + |\hat{k} \times (\vec{a} \times \hat{k})|^2 \) is equal to

• (A) 17
• (B) 18
• (C) 19
• (D) 20

The magnitude of projection of line joining (3, 4, 5) and (4, 6, 3) on the line joining (−1, 2, 4) and (1, 0, 5) is

• (A) \( \frac{4}{3} \)
• (B) \( \frac{2}{3} \)
• (C) \( \frac{8}{3} \)
• (D) \( \frac{1}{3} \)

Let the foot of perpendicular from a point \( P(1,2,-1) \) to the straight line \( L: \frac{x}{1} = \frac{y}{0} = \frac{z}{-1} \) be \( N \). Let a line be drawn from \( P \) parallel to the plane \( x + y + 2z = 0 \) which meets \( L \) at point \( Q \). If \( \alpha \) is the acute angle between the lines PN and PQ, then \( \cos \alpha \) is equal to

• (A) \( \frac{1}{\sqrt{5}} \)
• (B) \( \frac{\sqrt{3}}{2} \)
• (C) \( \frac{1}{\sqrt{3}} \)
• (D) \( \frac{1}{2\sqrt{3}} \)