List of practice Questions

Which of the following alkyl chloride will have the lowest boiling point?

Which of the following quantum numbers determines the shape of an orbital?

The enthalpy of formation of hydrogen chloride (HCl) is $ -92.3 \, \text{kJ/mol} $. If 2 moles of HCl are formed from hydrogen and chlorine gas, calculate the total heat released.

A bag contains 5 red balls and 3 green balls. If two balls are drawn at random without replacement, what is the probability that both balls drawn are red?

Find the value of the integral: ∫ (2x + 3)/((xy)(x^2 + 1)) dx

Which of the following is the polymer formed from acrylonitrile?

What is the frequency of a wave with a wavelength of $ 2 \, \text{m} $ and a velocity of $ 4 \, \text{m/s} $?

A 2 $\text{kg}$ mass is attached to a spring with spring constant $ k = 200, \text{N/m} $. If the mass is displaced by $ 0.1, \text{m} $, what is the potential energy stored in the spring?

Find the area of a circle with radius 7 cm.

What is the oxidation state of chromium in $ \text{K}_2\text{Cr}_2\text{O}_7 $?

Find the derivative of the function $ f(x) = 3x^2 - 5x + 7 $.

Find the length of the diagonal of a rectangle with length 6 cm and breadth 8 cm.

In a dataset of 50 values, the mean is 40 and the variance is 25. What is the probability that a randomly selected value from this dataset is between 35 and 45?

If $ P(A \cap B) = \frac{2}{25} $ and $ P(A \cup B) = \frac{8}{25} $, then find the value of $ P(A) $.

Find the roots of the quadratic equation $ x^2 - 5x + 6 = 0 $.

If a random variable X has the following probability distribution values:

X	0	1	2	3	4	5	6	7
P(X)	1/12	1/12	1/12	1/12	1/12	1/12	1/12	1/12

Then P(X ≥ 6) has the value:

A uniform circular disc of mass 2 kg and radius 0.5 m is mounted on a frictionless axle. A force of 4 N is applied tangentially at the rim for 2 seconds. Find the angular velocity acquired by the disc at the end of 2 seconds.

In a p-n junction diode, what happens to the width of the depletion region when the forward bias is increased?

A spaceship moves with a velocity of 5000 m/s. What is the relativistic factor $ \gamma $ for the spaceship? (Given that $ c = 3 \times 10^8 \, \text{m/s} $)

The wavelength of the light emitted by a hydrogen atom during a transition from $ n = 3 $ to $ n = 2 $ is $ 656.3 \, \text{nm} $. What is the energy of the photon emitted during this transition?

The energy of an electron in the second orbit of a hydrogen atom is $ -3.4 \, \text{eV} $. What is the energy of the electron in the third orbit? (Given: Energy of an electron in the $ n $-th orbit of hydrogen is $ E_n = -\frac{13.6}{n^2} \, \text{eV} $).

If the roots of the quadratic equation $ x^2 - 5x + 6 = 0 $ are $ p $ and $ q $, then what is the value of $ p + q $?

An object of mass $ 0.5 \, \text{kg} $ is moving with a velocity of $ 10 \, \text{m/s} $. What is the momentum of the object?

Solve for $ x $ in the equation $ \frac{1}{x+3} + \frac{1}{x+5} = \frac{1}{6} $.

Find the value of $ \log_3 81 $.