JEE Main 2026 · 2 Apr 2026 Shift 2

Dimensions of universal gravitational constant (G) in terms of Planck's constant (h), distance (L), mass (M) and time (T) are __________.

1. A[hTL M⁻²]
2. B[hT⁻¹LM⁻²]
3. C[hTL²M⁻²]
4. D[h⁻¹T⁻¹LM⁻²]

A 0.5 kg mass is in contact against the inner wall of a cylindrical drum of radius 4 m rotating about its vertical axis. The minimum rotational speed of the drum to enable the mass to remain stuck to the wall (without falling) is 5 rad/s. The coefficient of friction between the drum’s inner wall surface and mass is __________. (Take g = 10 m/s²)

1. A0.1
2. B0.5
3. C0.7
4. D0.3

A particle having charge 10⁻⁹ C moving in x-y plane in fields of 0.4 ĵ N/C and 4 × 10⁻³ k̂ T experiences a force of (4î + 2ĵ) × 10⁻¹⁰ N. The velocity of the particle at that instant is __________ m/s.

1. A50î + 100ĵ
2. B100î + 50ĵ
3. C−50î + 100ĵ
4. D50î − 100ĵ

If a body of mass 1 kg falls on the earth from infinity, it attains velocity (v) and kinetic energy (k) on reaching the surface of earth. The values of v and k respectively are __________. (Take radius of earth to be 6400 km and g = 9.8 m/s²)

1. A11.2 km/s; 6.27 × 10⁷ J
2. B11.2 km/s; 12.54 × 10⁷ J
3. C8.8 km/s; 6.27 × 10⁷ J
4. D8.8 km/s; 12.54 × 10⁷ J

In a screw gauge the zero of main scale reference line coincides with the fifth division of the circular scale when two studs are in contact. There are 100 divisions in circular scale and pitch of screw gauge is 0.1 mm. When diameter of a sphere is measured, the reading of main scale is 5 mm and 50th division of circular scale coincides with the reference line of main scale. The diameter of sphere is __________ mm.

1. A5.045
2. B5.055
3. C5.450
4. D5.550

The surface tension of a soap bubble is 0.03 N/m. The work done in increasing the diameter of bubble from 2 cm to 6 cm is απ × 10⁻⁴ J. The value of α is __________. (Take π = 3.14)

1. A0.86
2. B0.64
3. C1.92
4. D7.68

A mixture of carbon dioxide and oxygen has volume 8310 cm³, temperature 300 K, pressure 100 kPa and mass 13.2 g. The number of moles of carbon dioxide and oxygen gases in the mixture respectively are __________. (Assume both carbon dioxide and oxygen gases behave like ideal gases) [R = 8.31 J/mol.K]

1. A0.15 and 0.18
2. B0.25 and 0.08
3. C0.21 and 0.12
4. D0.13 and 0.20

If an air bubble of diameter 2 mm rises steadily through a liquid of density 2000 kg/m³ at a rate of 0.5 cm/s, then the coefficient of viscosity of liquid is __________ Poise. (Take g = 10 m/s²)

1. A0.88
2. B8.8
3. C88.8
4. D0.088