JEE Main Test 7...

At a certain temperature, the time required for the complete diffusion of 200 mL of H₂ gas is 30 min. The time required for the complete diffusion of 50 mL of O₂ gas at the same temperature will be

A parallel plate capacitor is charged to 60 µC. Due to a radioactive source, the plate loses charge at the rate of 1.8 × 10 ^-8 Cs^-1. The magnitude of displacement current is

The parameters from of the ellipse 4(x + 1)² + (y - 1)² = 4 is

The eccentricity of the hyperbola with latusrectum 12 and semi - conjugate axis 2√3 is

The equation of an ellipse whose eccentricity is 1/ 2 and the vertices are (4, 0) and (10, 0), is

When 0.2 g of 1-butanol was burnt in a suitable apparatus, the heat evolved was sufficient to raise the temperature of 200 g water by 5°C. The enthalpy of combustion of 1-butanol in kcal mol^-1 will be

The initial rate of hydrolysis of methyl acetate (1M) by a weak acid (HA, 1 M) is 1/100th of that of a strong acid (HX, 1 M) at 25^o C. The K_a HA is equal to

The total number of contributing structures showing hyperconjugation (involving C—H bonds) for the following carbocation is