General
✓✗The dimensional formula of electric charge is
- [AT]
- [A−1T]
- [AT−1]
- [A]
General
✓✗The dimensional formula of specific heat capacity is
- [ML2T−2K]
- [L2T−1K−1]
- [ML2T−2K−1]
- [L2T−2K−1]
General
✓✗The SI unit of amount of substance is
- gram
- kilogram
- candela
- mole
General
✓✗The dimensional formula of torque is the same as that of
- momentum
- work
- power
- force
General
✓✗The dimensional formula of surface tension is
- [MLT−2]
- [MT−2]
- [ML−1T−2]
- [ML2T−2]
General
✓✗Statement I: The number of significant figures in 0.005400 is four.
Statement II: In 0.005400 the leading zeros are not significant but the trailing zeros are.
Choose the correct answer.
Statement II: In 0.005400 the leading zeros are not significant but the trailing zeros are.
Choose the correct answer.
- Both Statement I and Statement II are correct
- Both Statement I and Statement II are incorrect
- Statement I is correct but Statement II is incorrect
- Statement I is incorrect but Statement II is correct
General
✓✗A balloon is made of a material of surface tension S and its inflation outlet (from where gas is filled in it) has small area A. It is filled with a gas of density ρ and takes a spherical shape of radius R. When the gas is allowed to flow freely out of it, its radius r changes from R to 0 (zero) in time T. If the speed v(r) of gas coming out of the balloon depends on r as ra and T ∝ SαAβργRδ, then
- \( a = -\dfrac{1}{2},\ \alpha = -\dfrac{1}{2},\ \beta = -1,\ \gamma = \dfrac{1}{2},\ \delta = \dfrac{7}{2} \)
- \( a = \dfrac{1}{2},\ \alpha = \dfrac{1}{2},\ \beta = -\dfrac{1}{2},\ \gamma = \dfrac{1}{2},\ \delta = \dfrac{7}{2} \)
- \( a = \dfrac{1}{2},\ \alpha = \dfrac{1}{2},\ \beta = -1,\ \gamma = 1,\ \delta = \dfrac{3}{2} \)
- \( a = -\dfrac{1}{2},\ \alpha = -\dfrac{1}{2},\ \beta = -1,\ \gamma = \dfrac{1}{2},\ \delta = \dfrac{5}{2} \)
General
✓✗If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be
- velocity if a = 1, b = 0, c = –1
- acceleration if a = 1, b = 1, c = –2
- force if a = 0, b = –1, c = –2
- pressure if a = 1, b = –1, c = –2
General
✓✗If E and G respectively denote energy and gravitational constant, then \( \dfrac{E}{G} \) has the dimensions of
- [M2][L−1][T0]
- [M][L−1][T−1]
- [M][L0][T0]
- [M2][L−2][T−1]
General
✓✗The dimensions of \( \sqrt{\dfrac{l}{g}} \), where l is a length and g is acceleration due to gravity, are those of
- velocity
- frequency
- length
- time
General
✓✗The dimensions of \( \sqrt{\dfrac{\mu_0}{\varepsilon_0}} \) are those of
- capacitance
- resistance
- inductance
- conductance
General
✓✗The temperatures of two bodies are (20.0 ± 0.5) °C and (50.0 ± 0.5) °C. The temperature difference is
- (30.0 ± 1.0) °C
- (30.0 ± 0) °C
- (30.0 ± 0.25) °C
- (30.0 ± 0.5) °C
General
✓✗The dimensions of RC is
- square of time
- square of inverse time
- time
- inverse time
General
✓✗In a vernier callipers, one main scale division is 1 mm and 20 vernier divisions coincide with 19 main scale divisions. The least count of the instrument is
- 0.5 mm
- 0.05 mm
- 0.02 mm
- 0.1 mm
General
✓✗Which of the following quantities has a unit but no dimensions?
- Mass
- Force
- Plane angle
- Velocity