Question
A copper wire of length 4 m and area of cross-section 1.2 cm2 is stretched with a force of If young's modulus for copper is
What will be the length increase of the wire?
- 1.33 mm
- 1.33 cm
- 2.66 mm
- 2.66 cm
The correct answer is: 1.33 mm
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![](data:image/png;base64,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)
What will be the nature of change in internal energy in case of processes shown below?
![](data:image/png;base64,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)
Young's modulus of rubber is
and area of cross section is 2 cm2 if force of
dyne is applied along its length then its initial length L becomes….
Young's modulus of rubber is
and area of cross section is 2 cm2 if force of
dyne is applied along its length then its initial length L becomes….
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means '
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means '
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or
.
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or
.
PV versus T graph of equal masses of
, He and
is shown in figure Choose the correct alternative
![](data:image/png;base64,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)
PV versus T graph of equal masses of
, He and
is shown in figure Choose the correct alternative
![](data:image/png;base64,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)
If
then ![fraction numerator 1 over denominator S i n invisible function application alpha minus square root of c o t to the power of 2 end exponent invisible function application alpha minus c o s to the power of 2 end exponent invisible function application alpha end root end fraction equals](data:image/png;base64,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)
If
then ![fraction numerator 1 over denominator S i n invisible function application alpha minus square root of c o t to the power of 2 end exponent invisible function application alpha minus c o s to the power of 2 end exponent invisible function application alpha end root end fraction equals](data:image/png;base64,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)
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means .
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means .
If
then
If
then
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or
.
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or
.
Hence Choice 4 is correct
Hence Choice 4 is correct
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or
.
We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means or
.