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Let F,FN and f denote the magnitudes of the contact force,normal force and the friction exerted by one surface on the other kept in contact.If none of these is zero, (a)F>FN (b)F>f (c)FN>f (d)FN-f<F<FN+f ...

For real values of x, range of the function y=frac{1}{2-sin 3x} is ...

suppose a,b,n are positive integers , all greater than 1. if an+bn is Prime then what can be said about n ? A) n must be 2 B) n need not be 2 but must be a power of 2 C) n need not be a power of 2 but must be even D) none of ...

\hspace{-16}$If $\bf{f:\mathbb{Z}\rightarrow \mathbb{Z}}$ and $\bf{m + f\big(m + f(n + f(m))\big) = n + f(m)}$\\\\ and $\bf{f(6)=6}$.\;Then $\bf{f(2012)=}$ ...

two set of four quantum no of an electron are written below a. ( n=4, l=3, m=3, s=1/2 ) b. ( n=3, l=2, m=-2, s=0 ) which one of this set is not correct and why. ...

A pair of stationary and infinitely long bent wires are placed in the XY plane as shown in the figure. The wire carrying a current of 1.0 ampere each as shown. The segments L and M are along X- axis, the segments P and Q are ...

Magnetic fields at two points on the axis of a circular coil at a distance of 0.05 m and 0.2m from the centre are in the ratio 8 : 1. The radius of the coil is ...

A proton, a deuteron and an alpha - particle having the same kinetic energy are moving in circular trajectories in a constant magnetic field. If {{r}_{p}},,,{{r}_{d}} and {{r}_{alpha }} denote respectively the radii of the tr ...

There are 24 birds on a tree. A hunter fired a gun and 20 fall down on ground. So how many birds left on the tree? ...

Condition for equilibrium: ...

Mechanical advantage is ...

If 3+3alpha +3{{alpha }^{2}}+........infty =frac{45}{8}, then the value of alpha will be ...

The enolic form of acetone contains ...

If {a^x} = bc,{b^y} = ca,,{c^z} = ab, then xyz = ...

The roots of the given equation (p-q){{x}^{2}}+(q-r)x+(r-p)=0 are ...

Match the following: I)pulley    p)always changes direction of application of force II)class I lever q) vr always greater than 1 III) class II lever r) vr always less than 1 IV) class III lever s) lever ...

If the {{p}^{th}},,{{q}^{th}}, and {{r}^{th}} term of an arithmetic sequence are a, b and c respectively, then the value of [a (q – r)+b(r – p)+ c (p – q)]= ...

If {9^x} - 4 imes {3^{x + 2}} + {3^5} = 0, then the solution pair is ...

If I am walking towards east, friction acting on me has a direction: ...

An ammeter has resistance R0 and range I. What resistance should be connected in parallel with it to increase the range to nI ?? ...

A uniform circular hoop is rotating clockwise in the absence of gravity with tangential speed v0 . If v be the velocity of transverse waves travelling on this string then comment on the relationship between v and v0 .(lesser, ...

Dipole moment is shown by ...

If x = sqrt {7 + 4sqrt 3 } , then x + frac{1}{x} = ...

A non-planar loop of conducting wire carrying a current i is placed as shown in the figure. Each of the straight sections of the loop is of length 2a. The magnetic field due to this loop at the point P (a, 0, a) points in the ...

A long straight wire along the z-axis carries a current i in the negative z direction. The magnetic vector field vec{B} at a point having coordinates (x, y) in the z = 0 plane is ...

Two infinitely long insulated wires are kept perpendicular to each other. They carry currents i1 = 2 A. and i2 = 1.5 A. Find the direction and magnitude of magnetic field produced at P *Image* ...

\hspace{-16}$If $\bf{f:(0,\infty)\rightarrow (1,\infty)}$ and $\bf{f(x)=x^4+x^2+x+1}$. Then $\bf{\frac{d}{dx}\left\{f^{-1}(4)\right\}=}$ ...

In an oil experiment,oil droplets of mass m and charge q are droped from a height h at intervals ∂t> ( 2*h)/g . This drops are collected on a large hollow sphere of radius R,through a small hole on the surface of the sph ...

If {log _{12}}27 = a, then {log _6}16 = ...

mathop {^ - :C{H_2} - mathop Climits_{||}Â - C{H_3}}limits_{,,,,,,,,,mathop Olimits_{ cdot ,, cdot } ,{:^ - }} and mathop {C{H_2} = mathop Climits_|Â - C{H_3}}limits_{,,,,,:,mathop Olimits_{ cdot ,, cdot } ,:{,^ - }} are ...