COMEDK Mock Test - 6 - JEE MCQ

A uniform ring of mass M and radius R is placed directly above uniform sphere of mass 8M and of same radius R. The centre of the ring is at a distance of d = √3R from the centre of sphere. The gravitational attraction between the sphere and the ring is

A boy reaches the airport and finds that the escalator is not working. He walks up the stationary escalator in time t₁. If he remains stationary on a moving escalator, then the escalator takes him up in time t₂. The time taken by him to walk up on the moving escalator will be:

Two gases A and B have equal pressure P, temperature T, and volume V. The two gases are mixed together and the resulting mixture has the same temperature T and volume V as before. The ratio of pressure exerted by the mixture to either of the two gases is:

A square surface of side L metres is in the plane of the paper. A uniform electric field (volt/m), also in the plane of the paper, is limited only to the lower half of the square surface (see diagram). The electric flux in SI units associated with the surface is

Visible light of wavelength 6,000 × 10^-8 cm falls normally on a single slit and produces a diffraction pattern. It is found that the second diffraction minimum is at 60° from the central maximum. If the first minimum is produced at θ₁, then  is close to

A 0.0020 m aqueous solution of an ionic compound [Co(NH₃)₅(NO₂)] freezes at = 0.00732°C. The number of moles of ions which 1 mol of ionic compound produces on being dissolved in water will be:                 

(K_f = 1.86°C/m)

Identify the product S in the following sequence of reactions:

The chemical added to leaded petrol to prevent the deposition of lead in the combustion chamber is

One of the essential α-amino acids is

Which of the following is true for an isochoric processes

A sample of gas occupise 100 ml at 27⁰C and 740 mm pressure. When its volume is changed to 80 ml at 740 mm pressure, the temperature of the gas will be

For all real x, the minimum value of 1 - x + x²/1 + x + x² is

AOB is the positive quadrant of the ellipse x²/a² + y²/b² = 1, where OA = a, OB = b. The area between the arc AB and the chord AB of the ellipse is

If z₁ and z₂ are two non-zero complex numberssuch that |z₁ + z₂| =|z₁| + |z₂|,then arg z₁ -arg z₂ is equal to

If x dy = y(dx + y dy), y > 0 and y (1) = 1, then y (-3) is equal to

The domain of sin^-1 x is

if f : R→R be such that f(1) = 4 and f^'(1) = 12 then 

The value of lim 

Which of the following statement is false?

From a well shuffled pack of playing cards, two cards drawn one by one with replacement. The probability that both are aces is

The mean of 5 observations is 4.4 and their variance is 8.24. If three observations are 1, 2 and 6, the other two observations are

If the roots of the equation x²+2mx+m²-2m+6=0 are equal, then the value of m is

The roots of the equation 

The area bounded by the curve y = x² - 4x, x-axis and line x = 2 is

Find the degree of (y₂)² − √y₁ = y³