Units, dimensions & Errors

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Units, dimensions & Errors

Test1 Max. Marks = 40

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1.A micron is related to centimetre as

4 points

(a) 1 micron = 10⁻⁸ cm

(b) 1 micron = 10⁻⁶ cm

(d) 1 micron = 10⁻⁴ cm

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2. If C and R represent capacitance and resistance respectively, then the dimensions of "RC" are

4 points

(a) M⁰ L⁰ T²

(b) M⁰ L⁰ T

(d) Non of the above

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3. If the unit of length and force be increased four times, then the unit of energy is

4 points

(a) Increased 4 times

(b) Increased 8 times

(d) Decreased 16 times

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4.The dimensional formula for the modulus of rigidity is

4 points

(a) M L² T⁻²

(b) M L⁻¹ T⁻³

(d) M L⁻¹ T⁻²

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4 points

(a)

(b)

(c)

(d)

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6. The frequency of vibration f of a mass m suspended from a spring of spring constant K is given by a relation of this type f = C mˣ Kʸ ; where C is a dimensionless quantity. The value of x and y are

4 points

(a) x = 1/2 and y = 1/2

(b) x = - 1/2 and y = - 1/2

(d) x = -1/2 and y = 1/2

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7. The dimensions of coefficient of thermal conductivity is

4 points

(a) M L² T⁻² K⁻¹

(b) M L T⁻³ K⁻¹

(d) M L T⁻³ K

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4 points

(a)

(b)

(c)

(d)

Clear selection

4 points

(a)

(b)

(c)

(d)

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10.

4 points

(a)

(b)

(c)

(d)

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