NEET Questions

A screw gauge gives the following readings when used to measure the thickness of a metal sheet: Main scale reading: 0 mm, Circular scale reading: 48 divisions. Given that 1 mm on the main scale corresponds to 100 divisions on the circular scale. What is the thickness of the metal sheet?

The circular scale of a screw gauge having a pitch of 1.0 mm is divided into 100 divisions. When measuring the diameter of a thin rod, the main scale reading is 1 mm and the circular scale reading is 25 divisions. What is the diameter of the rod?

In a screw gauge, the pitch is 0.5 mm and there are 50 divisions on the circular scale. When the screw gauge is used to measure the thickness of a glass plate, the main scale reading is 2 mm and the circular scale reading is 30 divisions. What is the thickness of the glass plate?

A screw gauge has a pitch of 1 mm and 100 divisions on its circular scale. The zero of the circular scale lies 6 divisions below the mean line when the two studs of the screw gauge are in contact. What is the zero error of this screw gauge?

The thimble of a screw gauge has 50 divisions. The screw advances by 1 mm when the head scale is rotated through two revolutions. What is the least count of the screw gauge?

A force defined by $F = \alpha t^2 + \beta t$ acts on a particle. If $\alpha$ and $\beta$ are constants, which of the following combinations of $\alpha$, $\beta$, and $t$ is dimensionless?

A force $F$ is given by the equation $F = \alpha t^3 + \beta$. If $F$ is in Newtons and $t$ is in seconds, what are the units of $\alpha$ and $\beta$ respectively?

The displacement $x$ of a particle as a function of time $t$ is given by $x = \alpha t^2 + \beta t$. If $x$ is in meters and $t$ is in seconds, what are the units of $\alpha$ and $\beta$ respectively?

The velocity $v$ of a particle is given by $v = \alpha t + \frac{\beta}{t^2}$. If $v$ is in m/s and $t$ is in seconds, what are the units of $\alpha$ and $\beta$ respectively?

If an equation relating physical quantities is given by $P = \frac{\alpha t}{\beta}$, and $P$ is dimensionless, what are the dimensions of $\beta$ if $\alpha$ has dimensions $[M L^{-1} T^{-2}]$ and $t$ represents time?