An inductor coil of self-inductance \(10~\mathrm H\) carries a current of \(1~\mathrm A\) . The magnetic field energy stored in the coil is:

1.	\(10~\mathrm J\)	2.	\(2.5~\mathrm J\)
3.	\(20~\mathrm J\)	4.	\(5~\mathrm J\)

The value of resistance for the colour code of the given resistor is:
    
1.  \((36\pm36)~k\Omega~\)
2.  \((470\pm47)~k\Omega~\)
3.  \((360\pm36)~k\Omega~\)
4.  \((360\pm18)~k\Omega~\)

A concave lens of focal length \(-25\) cm is sandwiched between two convex lenses, each of focal length, \(40\) cm. The power in dioptre of the combined lens would be:
                  

A beam of light is incident vertically on a glass slab of thickness \(1\) cm, and refractive index \(1.5.\) A fraction \(A\) is reflected from the front surface while another fraction \(B\) enters the slab and emerges after reflection from the back surface. The time delay between them is:

At some instant, the number of radioactive atoms in a sample is \(N_0\) and after time '\(t\)',  the number decreases to \(N\). It is found that the graphical representation '\(ln N\)' versus '\(t\)' along the y and x axis respectively is a straight line. Then the slope of this line is:
1.  \(\lambda\)
2.  \(-\lambda\)
3.  \(\lambda^{-1}\)
4.  \(-\lambda^{-1}\)

When the circular scale of a screw gauge completes \(2\) rotations, it covers \(1\) mm over the pitch scale. The total number of circular scale divisions is \(50\). The least count of the screw gauge in metres is:
1. \(10^{-4}\)
2. \(10^{-5}\)
3. \(10^{-2}\)
4. \(10^{-3}\)

A block of mass \(m\) is moving with initial velocity \(u\) towards a stationary spring of stiffness constant \(k\) attached to the wall as shown in the figure. Maximum compression of the spring is:
(The friction between the block and the surface is negligible).
                 

If \(\lambda_X,\lambda_I,\lambda_M\) and \(\lambda_\gamma\) are the wavelengths of \(X\)-rays, infrared rays, microwaves and \(\gamma\)-rays respectively, then:

Twelve point charges each of charge \(q\) C are placed at the circumference of a circle of radius \(r\) m with equal angular spacing. If one of the charges is removed, the net electric field (in N/C) at the centre of the circle is:
(\(\varepsilon_0 \)-permittivity of free space)
1. \(\frac{13q}{4\pi \varepsilon_0r^2}\)
2. zero
3. \(\frac{q}{4\pi \varepsilon_0r^2}\)
4. \(\frac{12q}{4\pi \varepsilon_0r^2}\)

Let \(L_1\) and \(L_2\) be the orbital angular momentum of an electron in the first and second excited states of the hydrogen atom, respectively. According to Bohr's model, the ratio \(L_1:L_2\) is:
1. \(1:2\)
2. \(2:1\)
3. \(3:2\)
4. \(2:3\)