JEE Main 2026 · 5 Apr 2026 Shift 1

In a Vernier calipers, when both jaws touch each other, zero of the Vernier scale is shifted to the right of zero of the main scale and 7th Vernier division coincides with a main scale reading. If the value of 1 main scale division is 1 mm and there are 10 Vernier scale divisions, then the Vernier caliper has

1. A0.07 cm negative zero error
2. B0.7 cm negative zero error
3. C0.07 cm positive zero error
4. D0.7 cm positive zero error

L, C and R represents physical quantities inductance, capacitance and resistance respectively. The dimensional formula M L² T⁻⁴ A⁻² corresponds to

1. AR/√LC
2. BR/LC
3. CC/√LR
4. D(1/R)√(L/C)

When one moves from a point 16 km below the earth's surface to a point 16 km above the earth's surface. The change in g is approximately α %. The value of α is _____. (Take radius of the earth = 6400 km.)

1. A0.12
2. B0.25
3. C0.50
4. D0.75

The Young's modulus of steel wire of radius r and length L is Y. If the radius r and length L of the wire are doubled then the value of Y

1. Aincreases by two times
2. Breduces by half
3. Cremains unchanged
4. Dbecomes one fourth

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Statement I: Change in internal energy of a system containing n mole of ideal gas can be written as ΔU = nCᵥ(Tf − Ti) = nR/(γ − 1)(Tf − Ti), where γ = Cₚ/Cᵥ, Ti = initial temperature, Tf = final temperature. Statement II: Relation between degree of freedom f and γ (= Cₚ/Cᵥ) is (γ = 1 + 2/f) Choose the correct answer from the options given below

1. ABoth A and R are true and R is the correct explanation of A
2. BBoth A and R are true but R is NOT the correct explanation of A
3. CA is true but R is false
4. DA is false but R is true

Consider the following statements:

1. AZeroth law of thermodynamics gives concept of temperature
2. BFirst law of thermodynamics gives concept of internal energy
3. CIn isothermal expansion of ideal gas, ΔQ ≠ ΔW
4. DProduct of intensive and extensive variables is extensive
5. EThe ratio of any extensive variable to mass will be an extensive variable Choose the correct combination of statements from the options given below:

An electron of mass m is moving in an electric field E⃗ = −2E₀ î (E₀ = constant > 0), with an initial velocity V⃗ = v₀ î (v₀ = constant > 0). If λ₀ = h/(4mv₀), its de Broglie wavelength at time t is ________. (e = charge of electron)

1. A4λ₀/[1 − E₀e t/(2mv₀)]
2. B4λ₀/[1 + E₀e t/(2mv₀)]
3. C4λ₀/[1 + 2E₀e t/(mv₀)]
4. D4λ₀/[1 − 2E₀e t/(mv₀)]

In the hydrogen atom, the electron makes a transition from the higher orbit (i) to a lower orbit (f). The ratio of the radius of the orbits in given by rᵢ : r𝒇 = 16 : 4. The wavelength of photon emitted due to this transition is _______nm. (Given Rydberg constant = 1.0973 × 10⁷ /m)

1. A121
2. B242
3. C486
4. D974