Assertion : Force cannot be added to pressure.

Reason : Because their dimensions are different.

Assertion : ‘Light year’ and ‘Wavelength’ both measure distance.

Reason : Both have dimensions of time.

Assertion : Light year and year, both measure time.

Reason : Because light year is the time that light takes to reach the earth from the sun.

If \(97.52\) is divided by \(2.54\), the correct result in terms of significant figures is:

The frequency of vibration of string is given by $\nu =\frac{p}{2l}{\left[\frac{F}{m}\right]}^{1/2}$. Here \(p\) is number of segments in the string, \(F\) is the force and \(l\) is the length. The dimensional formula for \(m\) will be

1. $\left[M^{0}L{T}^{-1}\right]$

2. $\left[M{L}^0{T}^{-1}\right]$

3. $\left[M{L}^{-1}{T}^0\right]$

4. $\left[M^0{L}^0{T}^0\right]$

Assertion : Rate of flow of a liquid is defined as volume of liquid flowing per second.

Reason : The dimensions of rate of flow are $\left[M^0{L}^1{T}^{-1}\right]$.

A wire has a mass of \((0.3\pm0.003)\) grams, a radius of \((0.5\pm 0.005)\) mm, and a length of \((0.6\pm0.006)\) cm. The maximum percentage error in the measurement of its density will be:
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)

Assertion : Linear mass density has the dimensions of $\left[M^1{L}^{-1}{T}^o\right]$.

Reason : Because density is always mass per unit volume.

Choose the correct match 

1. (i) G, (ii) H, (iii) I, (iv) B, (v) C

2. (i) D, (ii) H, (iii) I, (iv) B, (v) G

3. (i) G, (ii) H, (iii) I, (iv) B, (v) G

4. None of the above