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The pure rotational level of a molecule in the far-infrared region follows the formula F(J) = BJ(J + 1), where F(J) is the energy of the rotational level with quantum number J and B is the rotational constant. The lowest rotational energy gap in rotational Raman spectrum is
The allowed rotational energy levels of a rigid hetero-nuclear diatomic molecule are expressed as εJ = BJ (J + 1), where B is the rotational constant and J is a rotational quantum number.
In a system of such diatomic molecules of reduced mass μ, some of the atoms of one element are replaced by a heavier isotope, such that the reduced mass is changed to 1.05μ. In the rotational spectrum of the system, the shift in the spectral line, corresponding to a transition J = 4 → J = 5, is
Consider the following statements about molecular spectra:
P. CH4 does not give pure rotational Raman lines
Q. SF6 could be studied by rotational Raman spectroscopy
R. N2 shows infrared absorption spectrum
S. CH3CH3 shows vibrational Raman and infrared absorption lines
T. H2O2 shows pure rotational spectrum
Choose the right combination of correct statements.
Given below are two statements and four conclusions drawn based on the statements. Statement 1: Some soaps are clean. Statement 2: All clean objects are wet. Conclusion I: Some clean objects are soaps. Conclusion II: No clean object is a soap. Conclusion III: Some wet objects are soaps. Conclusion IV: All wet objects are soaps. Which one of the following options can be logically inferred?
Which of the following statements regarding defects of vision in human beings is correct? I. A person with Hypermetropia can see nearby objects clearly but cannot see distant objects distinctly. II. A person with myopia can see distant objects clearly but cannot see nearby objects distinctly. 
A teacher of class VII asks her learners to bring at least two or three objects from home and she asks them exchange the objects among themselves. She now asks them to describe the objects in their hands In at least ten sentences. What are the objects known as in language teaching-learning materials?
Two machines M1 and M2 are able to execute any of four jobs P, Q, R and S. The machines can perform one job on one object at a time. Jobs P, Q, R and S take 30 minutes, 20 minutes, 60 minutes and 15 minutes each respectively. There are 10 objects each requiring exactly 1 job. Job P is to be performed on 2 objects. Job Q on 3 objects, Job R on 1 object and Job S on 4 objects. What is the minimum time needed to complete all the jobs?
Accommodation is a process in the eye where
1. Ciliary muscles attached to the lens
flatten it for distant objects
2. Ciliary muscles attached to the lens thicken for closer objects
3. Ciliary muscles flatten the lens for closer objects
4. Ciliary muscles thicken the lens for distant objects
Select the correct answer from the options given below:
Moment of inertia can be regarded as the measure of the rotational inertia of the body.
The moment of inertia of a uniform sphere of radius, r about an axis passing through its centre is given by $$\frac{2}{5}\left( {\frac{{4\pi }}{3}{r^5}\rho } \right).$$    A rigid sphere of uniform mass density $$\rho $$ and radius R has two smaller spheres of radii $$\frac{R}{2}$$ hollowed out of it as shown in the figure given below.
Classical Mechanics mcq question image
The moment of inertia of the resulting body about Y-axis is