The Young's modulus for Steel is `2.0 xx 10^11 N m^-2`. If the interatomic spacing for the metal is `2.8 overset@A`, find the increase in the interatomic spacing for a force of `10^9N m^-2`

Young's modulus of steel is 1.9 xx 10^11 N//m^2 . When expressed in CGS units of dyne //cm^2 , it will be equal to (1N = 10^5 dyne, 1m^2 = 10^4 cm^2)

The tensile strength of steel is 5 xx 10^7 N m^-2 . Find the maximum length of the wire that can hang vertically , without breking it. Densityof steel is 8 xx 10^3 kg m^-3.

A straight conductor carries a current of 1.5 A and is 2 m long. Find the force on it, when it is parallel to a uniform field of 2xx10^-2T

In the above problem, If the yield strength of steel is 2.5 xx 10^8 N m^-2 , what is the maximum weight that can be hung at the lower end of the wire?

Find the nature of the roots of the quadratic equations. If the real roots exist, find them :- (m+n)^2x^2+ (m+n)x-2=0 .

Suppose that the particle is an electron projected with velocity v_x = 2.0 xx 10^6 m s^-1 . If E between the plates separated by 0.5 cm is 9.1 xx 10^2N//C , where will the electron strike the upper plate? (|e| =1.6 xx 10^-19 C, m_e=9.1 xx 10^-31 kg.)

A large plane sheet of charge having surface charge density 5.0 xx 10^-16 C m^-2 lies in the XY-plane . Find the electric flux through a circular area of radius 0.1 m , if the normal to the circular area makes an angle of 60^@ with the Z-axis. Given that epsilon_0 = 8.85 xx 10^-12 C^2N^-m^-2

A one metre long wire having area of cross-section 1 mm^2 is stretched by a mass of 3 kg. Calculate the increase in length. Take Y = 2 xx 10^11 N m^-2