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Units and Dimensions — BITSAT Physics PYQs

16 previous year questions from Units and Dimensions with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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Units and Dimensions — BITSAT Physics PYQs

The dimensional formula of latent heat is:

The dimensions of coefficient of self inductance are

On a temperature scale ' X '. The boiling point of water is 65^ X and the freezing point is -15^ X . Assume that the X scale is linear. The equivalent temperature corresponding to

The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density ( ) of liquid and the surface tension (s) of the liquid as : v=r^a ^b s^c . The valu

Electric field in a certain region is given by E = ( A x^2 i + B y^3 j ) . The SI unit of A and B are:

If force (F) , length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be

The engine of a truck moving along a straight road delivers constant power. The distance travelled by the truck in time t is proportional to

The dimensional formula of μ 0 ε 0 is

Dimension of which base quantity corresponds to that G h c 3 = ?

The frequency of vibration of string is given by v = p 2 l [ F m ]^ 1 / 2 Here p is number of segments in the string and l is the length. The dimensional formula for m will be

For the equation F = A ^ a v ^ b d ^ c , where F is the force, A is the area, v is the velocity and d is the density, the values of a, b and c are respectively

Wave pulse can travel along a tense string like a violin spring. Aseries of experiments showed that the wave velocity V of a pulse depends on the following quantities, the tension

If the force is given by F = at + bt ² with t as time. The dimensions of a and b are

If T =2 ML ³ 3 Yq then find the dimensions of q. Where T is the time period of bar of mass M length L and Young modulus Y .

If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, the non-zero integers x, y and z such that P^ x Q

In the relation: P is pressure, Z is distance, k is Boltzmann constant and is the temperature. The dimensional formula of will be

Units and Dimensions — BITSAT Physics PYQs

The dimensional formula of latent heat is:

The dimensions of coefficient of self inductance are

On a temperature scale ' X '. The boiling point of water is 65^ X and the freezing point is -15^ X . Assume that the X scale is linear. The equivalent temperature corresponding to

The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density ( ) of liquid and the surface tension (s) of the liquid as : v=r^a ^b s^c . The valu

Electric field in a certain region is given by E = ( A x^2 i + B y^3 j ) . The SI unit of A and B are:

If force (F) , length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be

The engine of a truck moving along a straight road delivers constant power. The distance travelled by the truck in time t is proportional to

The dimensional formula of &#956; 0 &#949; 0 is

Dimension of which base quantity corresponds to that G h c 3 = ?

The frequency of vibration of string is given by v = p 2 l [ F m ]^ 1 / 2 Here p is number of segments in the string and l is the length. The dimensional formula for m will be

For the equation F = A ^ a v ^ b d ^ c , where F is the force, A is the area, v is the velocity and d is the density, the values of a, b and c are respectively

Wave pulse can travel along a tense string like a violin spring. Aseries of experiments showed that the wave velocity V of a pulse depends on the following quantities, the tension

If the force is given by F = at + bt ² with t as time. The dimensions of a and b are

If T =2 ML ³ 3 Yq then find the dimensions of q. Where T is the time period of bar of mass M length L and Young modulus Y .

If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, the non-zero integers x, y and z such that P^ x Q

In the relation: P is pressure, Z is distance, k is Boltzmann constant and is the temperature. The dimensional formula of will be

The dimensional formula of μ 0 ε 0 is