1
NEET 2024 (Re-Examination)
+4
-1

The potential energy of a particle moving along $$x$$-direction varies as $$V=\frac{A x^2}{\sqrt{x}+B}$$. The dimensions of $$\frac{A^2}{B}$$ are:

A
$$\left[\mathrm{M}^{3 / 2} \mathrm{~L}^{1 / 2} \mathrm{~T}^{-3}\right]$$
B
$$\left[\mathrm{M}^{1 / 2} \mathrm{LT}^{-3}\right]$$
C
$$\left[M^2 L^{1 / 2} T^{-4}\right]$$
D
$$\left[\mathrm{ML}^2 \mathrm{~T}^{-4}\right]$$
2
NEET 2024
+4
-1

In a vernier callipers, $$(N+1)$$ divisions of vernier scale coincide with $$N$$ divisions of main scale. If $$1 \mathrm{~MSD}$$ represents $$0.1 \mathrm{~mm}$$, the vernier constant (in $$\mathrm{cm}$$) is:

A
$$\frac{1}{10 \mathrm{~N}}$$
B
$$\frac{1}{100(N+1)}$$
C
$$00 \mathrm{~N}$$
D
$$10(N+1)$$
3
NEET 2024
+4
-1

The quantities which have the same dimensions as those of solid angle are:

A
strain and angle
B
stress and angle
C
strain and arc
D
angular speed and stress
4
NEET 2024
+4
-1

A force defined by $$F=\alpha t^2+\beta t$$ acts on a particle at a given time $$t$$. The factor which is dimensionless, if $$\alpha$$ and $$\beta$$ are constants, is:

A
$$\beta t / \alpha$$
B
$$\alpha t / \beta$$
C
$$\alpha \beta t$$
D
$$\alpha \beta / t$$
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