MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Potential Energy Formulae

Two similar s...

Question

Two similar springs P and Q have spring constants $K_{P}$ and $K_{Q}$ , such that $K_{P} > K_{Q}$ . They are stretched, first by the same amount (case a), then by the same force (case b). The work done by the springs W_Pand W_Q are related as, in case (a) and case (b), respectively :

A

W_P< W_Q; W_Q< W_P

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

W_P = W_Q; W_P> W_Q

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

W_P = W_Q; W_P = W_Q

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

W_P> W_Q; W_Q> W_P

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D
W_P> W_Q; W_Q> W_P

Case (a) : w = $\frac{1}{2} k x^{2}$

$w_{P} = \frac{1}{2} K p x^{2}$
$W_{Q} = \frac{1}{2} k_{Q} x^{2}$
$∴ k_{P} > k_{Q}, w_{P} > w_{Q}$

Case (b) : w = $\frac{1}{2}$ Fx

$F = k_{P} x_{P} = k_{Q} w_{Q}$
$∴ \frac{x_{P}}{x_{Q}} = \frac{k_{Q}}{k_{P}}$
$∴ \frac{w_{P}}{w_{Q}} = \frac{x_{P}}{x_{Q}} = \frac{k_{Q}}{k_{P}}$
$∵ k_{Q} < k_{P}, w_{P} < w_{Q}$

Suggest Corrections

thumbs-up

94

Similar questions

Q. Two similar springs

P

Q

have spring constants

k_{P}

k_{Q}

k_{P} > k_{Q}

. They are stretched, first by the same amount (case a ), then by the same force (case b ). The work done by the springs

W_{P}

W_{Q}

are related as, in case (a) and case (b), respectively

Q. Two similar spring P and Q have spring constants

K_{P}

K_{Q}

K_{P} > K_{Q}

. They are stretched, first by the same amount (case a), then by the same force (case b). The work done by the spring

W_{P}

W_{Q}

are related as, in case (a) and case (b), respectively:

Q. Two radio isotopes

P

Q

of atomic mass 10 and 20 respectively are mixed in equal amount by mass. After 20days, their weight ratio

\frac{W_{P}}{W_{Q}}

is found to be 1 : 4. Isotope

Q

has a half-life of 10 days. The half-life of isotope

P

Q. A two lane, one- way road with radius of 50 m is predominantly carrying lorries with a wheelbase of 5m. The speed of lorries is restricted to be between 60 kmph and 80 kmph. The mechanical widening and psychological widening required at 60 kmph are designated as

W_{m e, 60}

W_{p s, 60}

, respectively. The mechanical widening and psychological widening required at 80 kmph are designated as

W_{m e, 80}

W_{p s, 80}

, respectively . The correct values of

W_{m e, 60}

W_{p s, 60}

W_{m e, 80}

W_{p s, 80}

respectively are

Q. A Clayey soil has liquid =

W_{L}

; plastic limit =

W_{P}

and natural moisture content = w. The consistency index of the soil is given by

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Energy in SHM

PHYSICS

Watch in App

explore_more_icon

Explore more

Potential Energy Formulae

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon