The angular amplitude of a simple pendulum is \(\theta^\circ.\) The maximum tension in its string will be:
1. \(mg(1-\theta_0)\)
2. \(mg(1+\theta_0)\) 
3. \(mg(1-\theta_0^2)\)
4. \(mg(1+\theta_0^2)\)

If the electric flux entering and leaving an enclosed surface respectively are \(\phi_1\) and \(\phi_2,\) the electric charge inside the surface will be:
1. \(\frac{\phi_2-\phi_1}{\varepsilon_0}\)
2. \(\frac{\phi_2+\phi_1}{\varepsilon_0}\)
3. \(\phi_2-\phi_1~\varepsilon_0\)
4. \(\varepsilon_0\phi_1+\phi_2\)

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of absolute temperature. The ratio \(\frac{C_P}{C_V}\) for the gas is:
1. \(\frac43\)
2.  \(2\)
3.  \(\frac53\)
4.  \(\frac32\)

Three point charges +q, -2q and +q are placed at points (x=O, y= a, z =O), (x=O, y=O, z=O) and (x = a, y = 0, z = 0), respectively. The magnitude and direction of the electric dipole moment vector of this charging assembly are:
 

A block \(B\) is pushed momentarily along a horizontal surface with an initial velocity \(v.\) If \(\mu\) is the coefficient of sliding friction between \(B\) and the surface, block \(B\) will come to rest after a time.
 
1. \(\frac{v}{g\mu}\)
2. \(\frac{g\mu}{v}\)
3. \(\frac{g}{v}\)
4. \(\frac{v}{g}\)

To get three images of a single object, we should have two plane mirrors at an angle of:
1. \(60^\circ\)
2. \(90^\circ\)
3. \(120^\circ\)
4. \(30^\circ\)

A particle of mass \(M\) and charge \(Q\) moving with velocity \(v\) describes a circular path of radius \(R\) when subjected to a uniform transverse magnetic field of induction \(B.\) The work done by the field, when the particle completes one full circle, is:
1. \(\frac{Mv^2}{R}2\pi R\)
2. zero
3. \(BQ2^{\pi R}\)
4. \(BQv2^{\pi R}\)

A particle of mass 100 g is thrown vertically upward with a speed of 5 m/s. The work done by the force of gravity during the time the particle goes up is:

1. -0.5J

2. -1.25J

3. 1.25J

4. 0.5J

The relative reactivity’s of acyl compound towards nucleophilic substitution are in the order of:

1. Acyl chloride > acid anhydride > ester > amide

2. Ester > acyl chloride > amide > acid anhydride

3. Acid anhydride > amide > ester > acyl chloride

4. Acyl chloride > ester > acid anhydride > amide

Clemmensen reduction of a ketone is carried out in the presence of which of the following?

1. Zn-Hg with HCl

2. LiAlH4

3. H2 and pt as catalyst

4. Glycol with KOH