Two balls are thrown horizontally, one from the window of first floor which is \(3 \mathrm{~m}\) high from the ground and second from the second floor which is \(6 \mathrm{~m}\) high from the ground, of a multi storey building, with the same speed of \(6 \mathrm{~ms}^{-1}\). Calculate the distance that will separate the two balls when they hit the ground.

What is the dimensional formula for electric flux?

A planet has double the mass of the earth and double the radius. The gravitational potential at the surface of the Earth is \(\mathrm{V}\) and the magnitude of the gravitational field strength is \(\mathrm{g}\). The gravitational potential and gravitational field strength on the surface of the planet are

No.	Potential	Field
A	V	\(\dfrac{g}{4}\)
B	2V	\(\dfrac{g}{2}\)
C	V	\(\dfrac{g}{2}\)
D	2V	\(\dfrac{g}{4}\)

Around the central part of an air cored solenoid of length \(20 \mathrm{~cm}\) and area of cross section \(1.4 \times 10^{-3} \mathrm{~m}^2\) and 3000 turns, another coil of 250 turns is closely wound. A current \(2 \mathrm{~A}\) in the solenoid is reversed in \(0.2 \mathrm{~s}\), then the induced emf produced is

A motor bike is moving with a speed of \(36 \mathrm{~km} / \mathrm{h}\) along a straight road. The radius of its wheel and its moment of inertia about the axis of rotation are 40 cm and \(5 \mathrm{~kg} \mathrm{~m}^2\) respectively. What is the magnitude of the torque applied by the brake to the wheel so as to stop the bike in 10 s?

A screen is placed \(2 \mathrm{~m}\) away from a narrow slit. It the first minimum lies 5 mm from either side of the central maxima, when plane waves of wavelength \(5 \times 10^{-7} \mathrm{~m}\) are used, the slit width is

A proton is moving along negative X axis. If a uniform magnetic field is applied parallel to the positive Z axis, then choose the correct answer from the following options;
1. The proton will experience magnetic force along positive Y direction and will move along a circular path in the XY plane
2. The proton will experience magnetic force along negative Y direction and will move along a circular path in the XY plane
3. The proton will experience magnetic force along positive Y direction and will move along a circular path in the XZ plane
4. The proton will experience magnetic force along negative Y direction and will move along a circular path in the XZ plane

Which of the following is NOT TRUE about nucleophilic addition reactions of aldehydes?

The EAN of central metal atom in \(\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right] \mathrm{Cl}_{3}\) is
[Atomic number of \(\mathrm{Co}=27\) ]

6 boys and 6 girls in a row at random. The probability that all the girls sit together is

The mole fraction of dioxygen in a neon-dioxygen mixture is \(0.18\). If the total pressure of the mixture is 25 bar, the partial pressure of neon in the mixture would be

In the redox reaction between \(\mathrm{Cr}_2 \mathrm{O}_7^{2-} / \mathrm{H}^{+}\) and sulphite ion, what is the number of moles of electrons involved in producing 3.0 moles of the oxidised product?

\(\int_{0}^{\pi / 2} \frac{\sin 2 t}{\sin ^{4} t+\cos ^{4} t} d t=\)