MHT CET 2025 15 April Shift 1 Question Paper (Available): Download Question Paper (PCB) with Answers PDF

A car of mass 1000 kg is moving with a velocity of 20 m/s. The driver applies the brakes, and the car comes to rest in 10 seconds. Find the average force exerted by the brakes to stop the car.

• (1) \( 5000 \, N \)
• (2) \( 2000 \, N \)
• (3) \( 10000 \, N \)
• (4) \( 4000 \, N \)

A 50 kg person climbs a staircase of height 10 m. Calculate the work done by the person against gravity.

• (1) \( 5000 \, J \)
• (2) \( 1000 \, J \)
• (3) \( 1500 \, J \)
• (4) \( 3000 \, J \)

A car of mass 800 kg is moving in a circular path with a radius of 50 m at a speed of 20 m/s. Calculate the centripetal force acting on the car.

• (1) \( 6400 \, N \)
• (2) \( 3200 \, N \)
• (3) \( 8000 \, N \)
• (4) \( 4000 \, N \)

A pipe has a radius of 2 cm at one end and 1 cm at the other end. The velocity of the water at the wider end is 5 m/s. What is the velocity of the water at the narrower end, assuming incompressible flow?

• (1) \( 10 \, m/s \)
• (2) \( 20 \, m/s \)
• (3) \( 15 \, m/s \)
• (4) \( 25 \, m/s \)

A 200 g sample of water at 80°C is mixed with 100 g of water at 20°C. Assuming no heat loss to the surroundings, what is the final temperature of the mixture?

• (1) \( 50^\circ C \)
• (2) \( 60^\circ C \)
• (3) \( 55^\circ C \)
• (4) \( 45^\circ C \)

A 5-ohm resistor is connected to a 10 V battery. Calculate the current flowing through the resistor.

• (1) \( 1.0 \, A \)
• (2) \( 2.0 \, A \)
• (3) \( 0.5 \, A \)
• (4) \( 0.2 \, A \)

What is the pH of a 0.001 M hydrochloric acid (HCl) solution?

• (1) \( 3 \)
• (2) \( 4 \)
• (3) \( 7 \)
• (4) \( 10 \)

How many grams of sodium chloride (NaCl) are produced when 2.0 moles of sodium (Na) react with excess chlorine gas (Cl\(_2\)? The balanced chemical equation for the reaction is: \[ 2 \, Na (s) + Cl_2 (g) \rightarrow 2 \, NaCl (s) \]

• (1) \( 58.5 \, g \)
• (2) \( 116.9 \, g \)
• (3) \( 117.0 \, g \)
• (4) \( 231.5 \, g \)

A gas occupies a volume of 5.0 L at 300 K and 1.0 atm pressure. What will be the volume of the gas if the pressure is increased to 2.0 atm while the temperature is kept constant?

• (1) \( 2.5 \, L \)
• (2) \( 10.0 \, L \)
• (3) \( 5.0 \, L \)
• (4) \( 1.0 \, L \)

What is the standard electrode potential of the half-reaction: \[ Cu^{2+} + 2e^- \rightarrow Cu \, (solid)? \]
Given that the standard electrode potential for the half-reaction: \[ Ag^+ + e^- \rightarrow Ag \, (solid) \quad is \, +0.80 \, V. \]
Also, the cell potential for the following reaction is: \[ Cu^{2+} + 2Ag \rightarrow Cu + 2Ag^+ \]
is \( 0.46 \, V \).

• (1) \( 0.34 \, V \)
• (2) \( 0.50 \, V \)
• (3) \( 0.46 \, V \)
• (4) \( 1.0 \, V \)

For a reaction A \(\rightarrow\) B, the rate law is given by: \[ Rate = k[A]^2 \]
If the concentration of A is increased by a factor of 3, by what factor does the rate of the reaction increase?

• (1) 3
• (2) 9
• (3) 27
• (4) 6

Which of the following is responsible for the production of oxygen during photosynthesis?

A) Calvin cycle
B) Photolysis of water
C) Cyclic photophosphorylation
D) Reduction of NADP+

• (1) \( A \) Calvin cycle
• (2) \( B \) Photolysis of water
• (3) \( C \) Cyclic photophosphorylation
• (4) \( D \) Reduction of NADP+

In a Mendelian cross between two heterozygous pea plants (Tt x Tt), where "T" is the dominant allele for tall plants and "t" is the recessive allele for short plants, what is the probability of obtaining a short plant?

• (1) \( 0 \)
• (2) \( \frac{1}{4} \)
• (3) \( \frac{1}{2} \)
• (4) \( 1 \)

Which part of the human brain is responsible for regulating the body's balance and coordination?

• (1) \( Cerebrum \)
• (2) \( Cerebellum \)
• (3) \( Medulla Oblongata \)
• (4) \( Thalamus \)

Which of the following is true about transpiration in plants?

• (1) Transpiration helps in the absorption of minerals from the soil.
• (2) Transpiration cools the plant and helps in water regulation.
• (3) Transpiration decreases water absorption from the roots.
• (4) Transpiration occurs only through the roots of the plant.

Which hormone is primarily responsible for the development of secondary sexual characteristics in females?

• (1) Estrogen
• (2) Testosterone
• (3) Progesterone
• (4) Oxytocin