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The oxide of an element possess the formula M2O3. If the equivalent weight of the metal is 9, then the atomic weight of the metal will be

Solution The formula of the oxide is M2O3. The valence of the Metal = 3 Equivalent of the metal = Atomic weight of the metal / valence 9 =... View Article

The number density of molecules of a gas depends on their distance r from the origin as, [latex]n(r)=n_{0}e^{-alpha r^{4}[/latex]. Then the total number of molecules is proportional to:

Solution: Given number density of molecules of gas as a function of r is... View Article

Calculate force per unit length acting on the wire B due to the current flowing in the wire A. (See the figure below).

Solution: Since current in both the wires is flowing in the same direction, both wires will attract each other. Force per unit length acting on... View Article

Two masses m_(1) and m_(2) are experiencing the same force where m1< m2 the ratio of their acceleration frac{a_{1}}{a_{2}}is

a) 1 b) less than 1 c) Greater than 1 d) All the options Solution: c) Greater than 1 Explanation: for... View Article

With what speed should a galaxy move outward with respect to earth so that the sodium-D line at wavelength 5890 Å is observed at 5896 Å?

(1) 306 km/sec (2) 322 km/sec (3) 296 km/sec (4) 336 km/sec Solution:(1) 306 km/sec... View Article

Radius of curvature of projectile at a point

Solution: Example, Consider a body is thrown from the surface of the Earth at an angle α to the horizontal with the initial velocity v0.... View Article

At resonant frequency the current amplitude in series LCR circuit is:

a) Minimum b) Maximum c) Zero d) Infinity Solution: b) Maximum I_{0}=\frac{V_{0}}{\sqrt{R^{2}+(X_{C}-X_{L})^{2}}} We know that X_{C}=X_{L} So... View Article

Out of the following options, which one can be used to produce a propagating electromagnetic wave?

a) A charge moving at constant velocity b) A stationary charge c) A chargeless particle d) An accelerating charges Solution: d) An accelerating... View Article

There is a uniform conducting structure in which each small square has a side A. The structure is kept uniform magnetic field B

a) The magnetic force on the structure is b) The potential of point B= potential of point D c) Potential of point O = potential point B d)... View Article

Consider a ‘beam expander’ which consists of two converging lenses of focal lengths 40 cm and 100 cm having a common optical axis. A laser beam of diameter 2 mm is incident on the 40 cm focal length lens. Then what is the diameter (in mm) of the final beam (see figure)?

Solution: diameter of beam, 2x=2mm Focal length of lenses, f1=40cm and f2=100cm y= 5 mm 2y = 10mm Therefore, diameter of final beam is 10mm... View Article

Find the torque about the origin when a force of 3hat{j} N acts on a particle whose position vector is 2hat{k} m.

Solution: The torque about any point is given as:... View Article

Due to earth’s magnetic field charged cosmic rays; particle

a) Requires more kinetic energy to reach the equator than the pole b) Can never reach the pole c) Requires less kinetic energy to reach the... View Article

Find the mechanical advantage of the hydraulic lift.

Mechanical advantage of the hydraulic lift is given by: According to Pascal's principle, output pressure = input pressure Or... View Article

In a Wheatstone bridge all the four arms have equal resistance R. If the resistance of galvanometer arm is also R, the equivalent resistance of combination is

a) R b) 2R c) d) <strong>Solution:</strong> a) R Consider 4 arms of the wheatstone bridge (PQRS), having equal resistance R. Here... View Article

Two artificial satellites of masses m1 and m2 are moving with speeds v1 and v2 in orbits of radii r1 and r2 respectively. If r1 >r2, then which of the following statements is true?

a) Solution: c) Orbital velocity, [latex]v =\sqrt{\frac{GM}{r}}[latex] r = radius of orbit... View Article

Two protons move parallel to each other, keeping distance r between them, both moving with same velocity vec{v}. Then the ratio of the electric and magnetic force of interaction between them is:

a) d) CV Solution: b)... View Article

If a proton and anti-proton come close to each other and annihilate, how much energy will be released?

Solution: Mass of proton = mass of anti-proton Energy equivalent to 1 amu= So, energy equivalent to 2 amu=... View Article

In the figure, the steady state current through the inductor will be:

Solution:... View Article

A man covers 60m distance in one minute on the surface of earth. The distance he will cover on the surface of the moon in one minute is (g_{m}=frac{g_{e}}{6})

a) 6m b) 60m c) 60/6m d) Solution: b) 60m Explanation: As the man moves along the surface, there is no effect of gravity while moving. Hence,... View Article

A rigid vessel of volume 0.50m^3 containing H2 at 20.5 degree C and a pressure of 611×10^3 Pa connected to a second rigid vessel of volume 0.75m^3 containing Ar at 31.2 degree C at a pressure of 433×10^3 Pa. A valve separating the two vessels is opened and both are cooled to a temperature of 14.5 degree C. What is the final pressure in the vessels?

Solution:... View Article

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