BITSAT 2025 Question Paper June 23 Shift 1 (Available): Download Solutions with Answer Key

Calculate the electric field at a point due to a uniformly charged spherical shell.

• (1) \( \frac{Q}{4 \pi \epsilon_0 r^2} \)
• (2) \( 0 \)
• (3) \( \frac{Q}{4 \pi \epsilon_0 r} \)
• (4) \( \frac{Q}{8 \pi \epsilon_0 r^2} \)

Determine the final temperature when two bodies at different temperatures are brought into thermal contact.

• (1) The temperature will always be the average of the two temperatures.
• (2) The temperature will depend on the masses and specific heats of the bodies.
• (3) The temperature will always be the temperature of the body with the higher initial temperature.
• (4) The temperature will be the higher of the two initial temperatures.

Find the focal length of a lens in a compound lens system.

• (1) \( \frac{1}{f_{total}} = \frac{1}{f_1} + \frac{1}{f_2} \)
• (2) \( \frac{1}{f_{total}} = \frac{1}{f_1} - \frac{1}{f_2} \)
• (3) \( f_{total} = f_1 + f_2 \)
• (4) \( f_{total} = f_1 - f_2 \)

Calculate the de Broglie wavelength of an electron moving with a given velocity.

• (1) \( \lambda = \frac{h}{mv} \)
• (2) \( \lambda = \frac{h}{2mv} \)
• (3) \( \lambda = \frac{mv}{h} \)
• (4) \( \lambda = \frac{2mv}{h} \)

What is the major product of the reaction of an alkene with bromine water?

• (1) Alkane
• (2) Dibromoalkane
• (3) Alcohol
• (4) Bromoalkene

Identify the geometry and hybridization of the central atom in SF₄.

• (1) Trigonal bipyramidal, sp² hybridization
• (2) Tetrahedral, sp³ hybridization
• (3) Seesaw, sp³d hybridization
• (4) Square planar, sp³d² hybridization

What is the oxidation state of chromium in K₂Cr₂O₇?

• (1) +6
• (2) +3
• (3) +2
• (4) 0

What is the molecular geometry of the water molecule (H₂O)?

• (1) Linear
• (2) Trigonal planar
• (3) Bent
• (4) Tetrahedral

Calculate the rate constant of a reaction with a given half-life.

• (1) \( k = \frac{0.693}{t_{1/2}} \)
• (2) \( k = \frac{1}{t_{1/2}} \)
• (3) \( k = \frac{2.303}{t_{1/2}} \)
• (4) \( k = \frac{0.5}{t_{1/2}} \)

What is a primary key in a relational database?

• (1) A unique identifier for each record in a table
• (2) A key used for sorting records
• (3) A key linking two tables
• (4) A key for encrypting data