OJEE 2026 May 8 Shift 1 LE. Tech (Diploma) Question Paper with Solution PDF

The capacitance of a parallel plate capacitor is 50μF. If the linear dimension of the plates are doubled and the separation between the plates is increased to 4 times, what would be the new value of the capacitor?

• (A) 100μF
• (B) 25μF
• (C) 50μF
• (D) 200μF

How much current will flow through the \(1\Omega\) resistor in the circuit

• (A) 15A
• (B) 10A
• (C) 5A
• (D) 0A

The distance between the line 3x + 4y + 5 = 0 and 3x + 4y - 7 = 0 is

• (A) 2
• (B) 3
• (C) 5/3
• (D) 12/5

The point dividing (1, 2) and (5, 6) in ratio 1:3 internally

• (A) 2, 3
• (B) 3, 4
• (C) 4, 5
• (D) 2, 2

lim (m→0) 5sinm / m =

• (A) 0
• (B) 1
• (C) ∞
• (D) not defined

The order and degree of differential equation (d²y/dx²)³ + (dy/dx)² + y = 0 respectively

• (A) 3, 2
• (B) 2, 3
• (C) 2, 2
• (D) 3, 1

Area of Triangle with point (1,2) (3,6) (5,10) is

• (A) 0
• (B) 2
• (C) 4
• (D) 6

How are 50Ω resistors connected so as to give effective resistance of 75Ω.

• (A) three resistors of 50Ω each in parallel
• (B) three resistors of 50Ω each in series
• (C) two resistors of 50Ω each in parallel
• (D) two resistors of 50Ω each in parallel and the combination in series with another 50 Ω resistors.

Transformer cores are laminated to reduce

• (A) copper loss
• (B) hysteresis loss
• (C) friction loss
• (D) eddy current loss

When 3 A dc is passed through a coil of 32 mH inductance, The energy stored in the coil

• (A) 288 J
• (B) 0.288 J
• (C) 0.144 J
• (D) 0.0 J

The acceleration of a body sliding down an inclined surface is:

• (A) g sin θ
• (B) g cos θ
• (C) g tan θ
• (D) none of these

Which of the following is an equation of linear motion?

• (A) v = u + at
• (B) s = ut + 1/2 at²
• (C) v² = u² + 2as
• (D) all of these

According to Newton's first law of motion,

• (A) Every body continues in its state of rest or uniform motion in a straight line unless acted upon by an external force.
• (B) The rate of change of momentum is proportional to the impressed force and in the same direction
• (C) To every action there is an equal and opposite reaction
• (D) None of the above

The rate of change of momentum is directly proportional to the impressed force and takes place in the same direction in which the force acts. This statement is known as:

• (A) Newton's first law of motion
• (B) Newton's second law of motion
• (C) Newton's third law of motion
• (D) none of these

The law of motion involved in the recoil of gun is:

• (A) Newton's first law of motion
• (B) Newton's second law of motion
• (C) Newton's third law of motion
• (D) none of these