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In a hydrogen like atom electron makes transition from an energy level with quantum number n to another with quantum number (n - 1). If $n>>1,$ the frequency of radiation emitted is proportional to

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If m is the A.M. of two distinct real numbers $l$and $n(l,n>1)$and$G_{1},G_{2}$ and $G_{3}$ are three geometric means between $l$and n, then $G_{1}+2G_{2}+G_{3}$equals,

A sonometer wire of length 1.5 m is made of steel. The tension in it produces an elastic strain of 1 %. What is the fundamental frequency of steel if density and elasticity of steel are $7.7×10_{3}kg/m_{3}and2.2×10_{11}N/m_{2}$ respectively?

The integral $∫_{2}gx_{2}+g(36−12x+x_{2})dxgx_{2} $ is equal to:

Two charges, each equal to q, are kept at x = ?a and x = a on the x-axis. A particle of mass m and charge $q_{0}=2q $ is placed at the origin. If charge q0 is given a small displacement (y a) along the y-axis, the net force acting on the particle is proportional to:

The area (in square units) bounded by the curves $y=x ,2y−x+3=0$, x-axis, and lying in the first quadrant is

Which one of the following alkaline earth metal sulphates has its hydration enthalpy greater than its lattice enthalpy ?

Let $tan_{−1}y=tan_{−1}x+tan_{−1}(1−x_{2}2x )$, where $∣x∣<3 1 $. Then a value of y is :

The area (in sq. units) of the quadrilateral formed by the tangents at the end points of the latera recta to the ellipse $9x_{2} +5y_{2} =1$, is: