A particle of mass 'm' is executing oscillations about the origin on the x-axis. Its potential energy is U(x) = k|x| where k is a positive constant. If the amplitude of oscillation is a, then its time period T is directly proportional to:
1.
2. a
3.
4.
The main scale of a vernier calliper has \(n\) divisions/cm. \(n\) divisions of the vernier scale coincide with \((n-1)\) divisions of the main scale. The least count of the vernier calliper is:
1. \(\frac{1}{(n+1)(n-1)}\) cm
2. \(\frac{1}{n}\) cm
3. \(\frac{1}{n^{2}}\) cm
4. \(\frac{1}{(n)(n+1)}\) cm
Consider a dimensionally consistent equation given as :
Select the correct alternative.
Two resistors are connected in parallel. The equivalent resistance is :
If z=, and errors in the determination of A and B are respectively , then the fractional error in the calculation of z is :
A screw gauge has the least count of \(0.01~\mathrm{mm}\) and there are \(50\) divisions in its circular scale. The pitch of the screw gauge is:
1. \(0.25\) mm
2. \(0.5\) mm
3. \(1.0\) mm
4. \(0.01\) mm
Taking into account the significant figures, what is the value of \((9.99~\mathrm{m}-0.0099~\mathrm{m})\)?
1. | \(9.98\) m | 2. | \(9.980\) m |
3. | \(9.9\) m | 4. | \(9.9801\) m |