List of practice Questions

In the resting state of the neural membrane, diffusion due to concentration gradients, if allowed, would drive

A self-fertilizing trihybrid plant forms :-

The capacity of parallel plate capacitor in air and on immersing it into oil is $50\,\mu F $ and $ 110\,\mu F $ respectively. The dielectric constant of oil is

The metal which does not form ammonium nitrate by reaction with dilute nitric acid is :

If $0 \leq x \leq \pi$ and +$81^{sin^2x}+81^{Cos^2x}=30$ then $x=$

A rectangular coil of $300$ turns has an average area of $25\, cm \times 10\, cm .$ The coil rotates with a speed of $50\, cps$ in a uniform magnetic field of strength $4 \times 10^{-2} T$ about an axis perpendicular to the field. The peak value of the induced emf is (in volt)

The radius of the circle passing through the point $(6, 2)$ and two of whose diameters are $x + y = 6$ and $x + 2y = 4$ is

In the circuit shown, the magnitude and direction of the flow of current is

A 5.0 amp current is setup in an external by a 6.0 volt storage battery for 6.0 minutes. The chemical energy of the battery is reduced by ....

The amplitude of a particle executing SHM is 4 cm. At the mean position the speed of the particle is 16 cm/sec. The distance of the particle from the mean position at which the speed of the particle becomes $ 3.5\times {{10}^{4}}K $ cm/s, will be :

The first excited state of hydrogen atom is 10.2 eV above its ground state. The temperature needed to excite hydrogen atoms to first excited level, is :

From an automatic gun a man fires 360 bullets per minute with a speed of 360 km/hour. If each weighs 20 g, the power of the gun is :

A body has a weight 90 kg on the earths surface, the mass of the moon is 1/9 that of the earths mass and its radius is 1/2 that of the earths radius. On the moon the weight of the body is:

The viscous force acting on a rain drop of radius 0.35 mm falling through air with a velocity of 1 m/s, is $ \text{1 km}/{{\text{s}}^{\text{2}}} $

A free unit positive charge is kept at a distance $r$ along the equatorial line from two equal like charges $+Q_1$ and $+Q_2$. The unit positive charge

Two narrow capillary tubes A and B are of lengths ( and 111 and of same radius r. The rate of flow of water through the tube A under a constant pressure head P is 3 $ \sqrt{\text{49}0}\text{ m}/\text{s} $ . If A and B are connected in series and the same pressure difference P is maintained between the ends of the composite tube, then the rate of flow of water is :

The energy of electron in the nth orbit of hydrogen atom is expressed as $ \sqrt{3}cm $ . The shortest and longest wavelength of Lyman series will be :

The coaxal system of circles given by $x^{2} + y^{2} + 2gx + c = 0$ for $c < 0$ represents.

The displacement time graph for two bodies A and B are straight lines inclined at 30? and 60? respectively with the time axes. If $ \upsilon =\sqrt{4rg} $ and $ \upsilon =\sqrt{4\times 2.5\times 9.8} $ are their velocities, then $ \upsilon =\sqrt{98}\,\,m/s $ will be :

The maximum and minimum tensions in the string whirling in a circle of radius 2.5 m are in the ratio 5:3 then its velocity is :

In a potentiometer experiment, two cells of emf $E_1$ and $E_2$ are used in series in the secondary circuit. The balancing length is found to be 58 cm. If the polarity of $E_2$ is reversed, the balancing length becomes 29 cm. The ratio $E_1/E_2$ of the emfs of two cells is :

A cannon of mass 1000 kg, located at the base of an inclined plane fires a shell of mass 100 kg in a horizontal direction with a velocity 180 km/h. The angle of inclination of the inclined plane with the horizontal is $ 45{}^\circ $ . The coefficient of friction between the cannon and the inclined plane is 0.5. The height, in m, to which the cannon ascends the inclined plane as a result of the recoil is: $ (g=10m/{{s}^{2}}) $

Four particles, each of mass 1 kg, are placed at the corners of a square of side 1m in the X- Y plane. If the point of intersection of the diagonals of the square, is taken as the origin, the co-ordinates of the centre of mass are:

The maximum height reached by a projectile is 4 m. The horizontal range is 12 m. Velocity of projection in ms-1, is : ( g = acceleration due to gravity)

A thin converging lens is made up of glass of refractive index 1.5. It acts like a concave lens of focal length 50 cm, when immersed in a liquid of refractive index $ \left( \frac{15}{8} \right) $ . The focal length of the converging lens in air is, in metre: