The last digit of the number 3232 is
1) 4 2) 6 3) 8 4) None of these Solution: 3232 = (2 + 3×10)32 = 232 +... View Article
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The remainder obtained when 1! + 2! + 3! + ….. + 11! is divided by 12 is
1) 9 2) 8 3) 7 4) 6 Solution: Let S = 1! + 2! + 3! + ….. +... View Article
The physical quantities not having same dimensions are
1) torque and work 2) momentum and Planck’s constant 3) Stress and Young’s modulus 4) Speed and (μ0ε0)-1/2 Answer: 2) momentum... View Article
The physical quantity having the dimensions [M-1L-3T3A2] is
1) resistance 2) resistivity 3) electrical conductivity 4) electromotive force Answer: 3) electrical conductivity Resistivity, ρ = m/ne2t \(\begin{array}{l}\left [ \rho \right... View Article
The dimensions of Planck’s constant is same as that of
1) angular momentum 2) linear momentum 3) work 4) coefficient of viscosity Answer: 1) angular momentum Angular momentum L = nh/2π,... View Article
The number of significant figures in the numbers 4.8000×104 and 48000.50 are respectively.
1) 5 and 6 2) 5 and 7 3) 2 and 7 4) 2 and 6 Answer: 2) 5 and 7... View Article
A physical quantity Q is found to depend on observables x,y and z obeying relation Q = x3y2/z.
A physical quantity Q is found to depend on observables x,y and z obeying relation Q = x3y2/z. The percentage... View Article
The current voltage relation of diode is given by I = (e1000V/T – 1) mA
The current-voltage relation of the diode is given by I = (e1000V/T – 1) mA, where the applied V is in... View Article
A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?
1) A metre scale 2) A vernier calliper where the 10 division in vernier scale matches with 9 divisions in... View Article
The dimension of (1/2)ε0E2 (ε0 is the permittivity of free space, E is the electric field)
1) MLT-1 2) ML2T-2 3) ML-1T-2 4) ML2T-1 Answer: 3) ML-1T-2 Solution: Dimension of ε0 = [M-1L-3T4A2] Dimension of electric field(E) =... View Article
Which one of the following pair of quantities has same dimension?
1) force and workdone 2) momentum and impulse 3) pressure and force 4) Surface tension and stress Answer:2) momentum and... View Article
R, L and C represent the physical quantities resistance, inductance and capacitance, respectively. Which one of the following combinations has the dimension of frequency?
1) 1/√RC 2) R/L 3) 1/LC 4) C/L Answer: 1,2 and 3 For RC circuits, the time constant is τ=RC,... View Article
Which physical quantities have same dimensions?
1) Force and Power 2) Torque and energy 3) Torque and power 4) Force and torque Answer: 2) Torque and energy... View Article
The dimensions of magnetic field in M, L, T and C (coulomb) is given as
1) [MLT-1C-1] 2) [MT2C-2] 3) [MT-1C-1] 4) [MT-2C-1] Answer: 3) [MT-1C-1] Solution: F = QvB [MLT-2] = [C][LT-1][B] ⇒ [B] =... View Article
Dimensional formula of Stefan’s constant is
1) [MT-3K-4] 2) [ML2T-2K-4] 3) [ML2T-2] 4) [ML-2L0] 5) [MT-4L0] Answer: 1) [MT-3K-4] Solution: According to Stefan’s law, the energy radiated per... View Article
The dimensional formula of modulus of rigidity ( η ) is
1) [ML-2T-2] 2) [ML-3T-2] 3) [ML2T-2] 4) [ML-1T-2] Answer: 4) [ML-1T-2] Solution: \(\begin{array}{l}\eta =\frac{F/A}{\Phi }\end{array} \) \(\begin{array}{l}\left [ \eta \right ]=\frac{\left... View Article
A student performs an experiment to determine Young’s modulus of a wire, exactly 2 m long, by Searle’s method.
A student performs an experiment to determine Young’s modulus of a wire, exactly 2 m long, by Searle’s method. In... View Article
The dimensional formula for the magnetic field is
1) [MT-2A-1] 2) [ML2T-1A-2] 3) [MT-2A-2] 4) [MT-1A-2] Answer: 1) [MT-2A-1] Solution: Magnetic field = force/ (charge x velocity) =... View Article
The dimensions of resistance are same as those of …, where h is the Planck’s constant and e is the charge.
1) h2/e2 2) h2/e 3) h/e2 4) h/e Answer: 3) h/e2 R = V/i = W/Qi \(\begin{array}{l}\Rightarrow \frac{\left [ ML^{2}T^{-2} \right... View Article
The dimensions of potential are the same as that of
1) work 2) electric field per unit charge 3) work per unit charge 4) force per unit charge Answer: 3) work... View Article
