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When 5V potential difference is applied across a wire of length 0.1 m, the drift speed of electrons is $2.5×10_{−4}ms_{−1}$. If the electron density in the wire is $8×10_{28}m_{−3}$, the resistivity of the material is close to :

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Two coaxial solenoids of different radii carry current I in the same direction. Let \displaystyle\vec{{F}}_{}

Which of the following compounds will exhibit geometrical isomerism ?

Match List-I (Electromagnetic wave type) with List-II (Its association/application) and select the correct option from the choice given below the lists :

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,

Diameter of plano-convex lens is 6 cm and thickness at the centre is 3 mm. If speed of light in material of lens is $2×10_{8}m/s,$ the focal length of the lens is :

A pendulum made of a uniform wire of cross sectional are A has time period T. When an additional mass M is added to its bob, the time period changes to $T_{M}$. If the Young's modulus of the material of the wire is Y then $Y1 $ is equal to : (g = gravitational acceleration)

If $α,β=0$, and $f(n)=α_{n}+β_{n}$and \displaystyle{\mid}{3}{1}+{f}

If $A=⎣⎡ 12a 212 2−2b ⎦⎤ $ is a matrix satisfying the equation $AA_{T}=9I$, where $I$ is $3×3$ identity matrix, then the ordered pair $(a,b)$ is equal to :(A) $(2,−1)$ (B) $(−2,1)$ (C) $(2,1)$ (D) $(−2,−1)$