A bob is suspended from a crane by a cable of length l = 5m. The crane and load are moving at a constant speed v. the crane is stopped by a bumper and the bob on the cable swings out an angle of 60°. The initial speed v is ( g=9.8 m/s²)

1) 10 m/s
2) 7 m/s
3) 4 m/s
4) 2 m/s

Katen was studying nuclear physics. There, he collected values of binding energies of $$_{1}{H}^{2},   _{2}{He}^{4},  _{26}{Fe}^{56}$$ and $$_{92}{U}^{235}$$ and they are $$2.22  MeV,  28.3  MeV,  492  MeV$$ and $$1786  MeV$$ respectively. Then, he got a doubt that stability of the nucleus depends on its binding energy, which among the above four is the most stable nucleus?

1) $${He}_{2}^{4}$$
2) $${U}_{92}^{235}$$
3) $$_{1}{H}^{2}$$
4) $$_{26}{Fe}^{56}$$

Equal potentials are applied on an iron and a copper wire of same length. In order to have the same current flow in the two wires, the ratio r(iron) / r(copper) of their radii must be: [specific resistance of iron = 1.0 ]

1) 2.4 : 1
2) 1 : 2.4
3) 1.2 : 1
4) 1 : 1.2

A point charge +Q having mass m is fixed on horizontal smooth surface. Another point charge having magnitude +2Q & mass 2m is projected horizontally towards the charge +Q from the distance with velocity V0 
Force applied by floor on the fixed charge in horizontal direction, when distance between charges becomes 'd'

1) $$\frac{2KQ^2}{d^2}$$
2) $$\frac{KQ^2}{d^2}$$
3) zero
4) none

A circular coil having N turns and radius r carries a current II. It is held in the XZ  plane in a magnetic field $$B\hat {i}$$. The torque on the coil due to the magnetic field is

1) $$B\pi r^{2} IN$$
2) $$\dfrac {Br^{2}I}{\pi N}$$
3) Zero
4) $$\dfrac {B\pi r^{2}I}{N}$$

Bernoulli’s theorem is applicable to
1. Viscosity of fluids
2. Surface tension
3. Flow of liquids
4. Static fluid pressure

 An isolated conductor will become polarized (in terms of charge) when:

(1) it is touched by a charged object.

(2) it is warmed.

(3) it is brought close to (but not touching) a charged object.

(4) it is charged with a power supply

A black body at high temp T K, radiates energy E. The temperature now fallen to T/ 2 K,the final radiated energy will be : 

1) $$\dfrac{E}{4}$$
2) $$\dfrac{E}{2}$$
3) $$2E$$
4) $$\dfrac{E}{16}$$

The electric field of an electromagnetic wave travelling through vacuum is given by the equation E = E−0 sin (Kx - ωt). the quantity that is independent of wavelength is

1) kω
2) $$\dfrac{K}{\omega}$$
3) $$K^2\omega$$
4) $$\omega$$

A 10 µF capacitor is charged by a battery of e.m.f 100 volts. The energy stored in the capacitor is

(1) 0.5 mJ
(2) 0.05 mJ
(3) 0.05 J
(4) 0.J