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Physics-

General

Easy

Question

If S is stress and Y is Young’s modulus of material of a wire, the energy stored in the wire per unit volume is

$2 S^{2} Y$
$\frac{S^{2}}{2 Y}$
$\frac{2 Y}{S^{2}}$
$\frac{S}{2 Y}$

The correct answer is: $fraction numerator S to the power of 2 end exponent over denominator 2 Y end fraction$

Energy stored in the wire $equals fraction numerator 1 over denominator 2 end fraction s t r e s s cross times s t r a i n cross times v o l u m e$
and $Y o u n g to the power of ´ end exponent s blank m o d u l u s equals fraction numerator S t r e s s over denominator S t r a i n end fraction$
⟹ $s t r a i n equals fraction numerator S over denominator Y end fraction$
$fraction numerator E n e r g y blank s t o r e d blank i n blank w i r e over denominator V o l u m e end fraction equals fraction numerator 1 over denominator 2 end fraction cross times s t r e s s cross times s t r a i n$
$equals fraction numerator 1 over denominator 2 end fraction S cross times fraction numerator S over denominator Y end fraction equals fraction numerator S to the power of 2 end exponent over denominator 2 Y end fraction$

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A solid sphere of radius r made of a material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area a floats on the surface of the liquid. When a mass m is placed on the piston to compress the liquid, the fractional change in the radius of the sphere (dr/r) is

Physics-General

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parallel

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In an equilateral triangle the in-radius and the circum-radius are connected by -

In an equilateral triangle the in-radius and the circum-radius are connected by -

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If the sides of a triangle are 3 : 7 : 8 then R : r =

parallel

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parallel

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The sides of a triangle are 22 cm, 28 cm and 36 cm. So the area of the circumscribed circle is -

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parallel

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If a right-angled ABC of maximum area is inscribed within a circle of radius R, then-

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The motion of a particle along a straight line is described by equation :
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Where $x$ is in metre and $t$ in second. The retardation of the particle when its velocity becomes zero, is

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parallel

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