List of practice Questions

In a population of plants, the allele for red flowers (R) is dominant over the allele for white flowers (r). If 36\% of the population has white flowers, what is the frequency of the recessive allele (r) in the population?
In a DNA molecule, if the percentage of adenine (A) is 30\%, what is the percentage of cytosine (C)?
In the human heart, which chamber receives oxygenated blood from the lungs?
Which of the following monomers undergo addition polymerization?
Given that: \[ x = a \sin(2t) (1 + \cos(2t)), \quad y = a \cos(2t) (1 - \cos(2t)) \] Find \(\frac{dy}{dx}\).
The equation for the RMS velocity is given as \[ v_{\text{rms}} = \sqrt{\frac{3RT}{M_0}} \] where \( R \) is the gas constant, \( T \) is the temperature, and \( M_0 \) is the molecular mass. If the temperature is increased, find the new RMS velocity \( v_{\text{rms}} \) when the temperature is doubled.}
In adiabatic compression, which of the following is true?
In the reaction: \[ \text{Zn(s)} + \text{CuSO}_4(aq) \rightarrow \text{ZnSO}_4(aq) + \text{Cu(s)} \] Which of the following is the correct oxidation half-reaction?
The value of the definite integral \( \int_0^{\pi} \sin^2 x \, dx \) is:
In how many ways can 5 people be arranged in a row?
Which of the following is a primary alcohol?
A force of \( 100 \, \text{N} \) is applied to an object at an angle of \( 30^\circ \) to the horizontal. What is the work done by the force in moving the object a distance of \( 5 \, \text{m} \)?
If the sum of the first \( n \) terms of an arithmetic progression (AP) is given by \( S_n = 3n^2 + 2n \), find the 4th term of the AP.
Find the value of \( \tan 45^\circ \).
A simple pendulum has a length of $ L = 2 \, \text{m} $. What is the time period of the pendulum? (Assume $ g = 9.8 \, \text{m/s}^2 $)
If $ f(x) = 3x^2 + 5x - 7 $, find $ f(2) $.
If $ x = 2 $, what is the value of $ 3x^2 - 5x + 7 $?
A coil of 100 turns, carrying a current of \( 5 \, \text{A} \), is placed in a magnetic field of \( 2 \, \text{T} \). The area of each turn is \( 0.01 \, \text{m}^2 \). What is the magnetic moment of the coil?
A coil has 200 turns and an area of \( 0.01 \, \text{m}^2 \). If the magnetic field changes from 0 to 0.5 T in 0.1 seconds, what is the induced emf in the coil?
In the reaction \( 2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O} \), if 4 moles of hydrogen react with excess oxygen, how many moles of water are produced?
Which is the weakest ligand?
A mass of 0.5 kg is attached to a spring of force constant 200 N/m. What is the time period of oscillation?
How many isomers are possible for C$_4$H$_8$Cl$_2$ (including chain and positional)?
Which of the following shows resonance but not hyperconjugation?

Calculate the number of moles present in 9.10 × 1016 kg of water.