List of top Questions asked in MHT CET

Which of the following compounds will exhibit hydrogen bonding?
Which of the following compounds will have the highest boiling point?
Which of the following structures in the cell is responsible for producing proteins?
What is the number of moles of oxygen atoms in 4.0 g of \( \text{O}_2 \)?
A light ray passes from air (refractive index = 1) into water (refractive index = 1.33). If the angle of incidence is 30°, what is the angle of refraction in water?
A concave mirror has a focal length of 15 cm. An object is placed 30 cm from the mirror. What is the image distance?
If \( \mathbf{a} = 2\hat{i} + 2\hat{j} + 3\hat{k}, \mathbf{b} = -\hat{i} + 2\hat{j} + \hat{k} \) and \( \mathbf{c} = 3\hat{i} + \hat{j} \) are the vectors such that \( \mathbf{a} + \lambda \mathbf{b} \) is perpendicular to \( \mathbf{c} \), then the value of \( \lambda \) is:
A body of mass 2 kg is moving in a circular path of radius 3 m with a constant speed of 6 m/s. What is the centripetal force acting on the body?
At a height \( h \) above the Earth's surface, the acceleration due to gravity becomes \( \frac{g}{\sqrt{3}} \). What is the value of \( h \) in terms of the Earth's radius \( R \)?
Which of the following is not a function of sperm?
The limit of \( \lim_{x \to 0} \frac{\sin x}{x} \) is:
What is the volume occupied by 2 moles of an ideal gas at standard temperature and pressure (STP)?
Binomial Expansion Series $ \left( \frac{(1 + x)}{(n + 1)} \right)' = n_0 x + n_1 \frac{x^2}{2} + n_2 \frac{x^3}{3} + \cdots + n_n \frac{x^n}{n+1} $
Curves Represented
In the reaction \( \text{Zn} + 2\text{Ag}^+ \rightarrow \text{Zn}^{2+} + 2\text{Ag} \), what is the oxidation state of zinc in \( \text{Zn} \) and \( \text{Zn}^{2+} \)?
The enthalpy change for the reaction \( \text{N}_2(g) + 3\text{H}_2(g) \rightarrow 2\text{NH}_3(g) \) is \( -92.4 \, \text{kJ/mol} \). What is the enthalpy change when 4 moles of nitrogen react?
Which of the following elements has the highest electronegativity?
What is the pH of a solution with a hydrogen ion concentration of \( 1 \times 10^{-5} \, \text{mol/L} \)?
If \( \mathbf{a} = 3\hat{i} + 4\hat{j} \) and \( \mathbf{b} = 2\hat{i} - \hat{j} \), find \( \mathbf{a} \cdot \mathbf{b} \) (the dot product).
If two dice are rolled, what is the probability of getting a sum of 7?
Evaluate the integral: \[ \int \sqrt{x^2 + 3x} \, dx \]
A gas expands from a volume of 2 m³ to 4 m³ against a constant pressure of 5 atm. How much work is done by the gas during expansion? (1 atm = \( 1.01 \times 10^5 \, \text{Pa} \))
A force of 20 N is applied to a body at an angle of \( 30^\circ \) to the horizontal, moving the body a distance of 5 m. What is the work done by the force?
A galvanometer has resistance \( G = 100 \, \Omega \) and shows full-scale deflection at \( I_q = 1 \, \text{mA} \). To convert it into a voltmeter of range 5 V, what resistance should be connected in series?
A 0.5 m long solenoid has 100 turns and carries a current of 3A. What is the magnetic field at the center of the solenoid?