RBTS PAPER 3(PHYSICS)
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3 RBTS PAPER

162613 Assertion (A): Graph between potential energy of a spring versus the extension or compression of the spring is a straight line.
Reason (R): Potential energy of a stretched or compressed spring is proportional to square of extension or compression.

1 Both \(A\) and \(R\) are true and \(R\) is the correct explanation of \(A\).
2 Both \(A\) and \(R\) are true but \(R\) is not the correct explanation of \(A\).
3 \(A\) is true but \(R\) is false.
4 \(A\) is false but \(R\) is true.
3 RBTS PAPER

162614 A car of weight \(\mathbf{W}\) is on an inclined road that rises by \(100 \mathrm{~m}\) over a distance of \(1 \mathrm{~km}\) and aplied a constant frictional force \(W / 20\) on the car. While moving uphill on the road at a speed \(10 \mathrm{~ms}^{-1}\), the car needs power \(P\). If it needs power \(P / 2\) while moving downhill at speed \(v\) then value of \(v\) is :

1 \(15 \mathrm{~ms}^{-1}\)
2 \(5 \mathrm{~ms}^{-1}\)
3 \(10 \mathrm{~ms}^{-1}\)
4 \(20 \mathrm{~ms}^{-1}\)
3 RBTS PAPER

162613 Assertion (A): Graph between potential energy of a spring versus the extension or compression of the spring is a straight line.
Reason (R): Potential energy of a stretched or compressed spring is proportional to square of extension or compression.

1 Both \(A\) and \(R\) are true and \(R\) is the correct explanation of \(A\).
2 Both \(A\) and \(R\) are true but \(R\) is not the correct explanation of \(A\).
3 \(A\) is true but \(R\) is false.
4 \(A\) is false but \(R\) is true.
3 RBTS PAPER

162614 A car of weight \(\mathbf{W}\) is on an inclined road that rises by \(100 \mathrm{~m}\) over a distance of \(1 \mathrm{~km}\) and aplied a constant frictional force \(W / 20\) on the car. While moving uphill on the road at a speed \(10 \mathrm{~ms}^{-1}\), the car needs power \(P\). If it needs power \(P / 2\) while moving downhill at speed \(v\) then value of \(v\) is :

1 \(15 \mathrm{~ms}^{-1}\)
2 \(5 \mathrm{~ms}^{-1}\)
3 \(10 \mathrm{~ms}^{-1}\)
4 \(20 \mathrm{~ms}^{-1}\)