Q121 / 160 · TS EAMCET 2019 (03 May Shift 2) · Physics

Match the physical quantities given in List - I with dimensions in List - II.

List - I     List - II
 A Gravitational potential I M0 L2 T-2 K-1
B Stefan's constant  II M0 L2 T-2
C Permittivity III ML0 T-3 K-4
D Specific heat capacity IV M-1 L-3 T4I2

 

(The dimensions of mass, length, time, temperature and current are M,L,T,K and I respectively)

  • A
    (A)(B)(C)(DIVIIIII
  • B
    (A)(B)(C)(DIIVIIIII
  • C
    (A)(B)(C)(DIIIIIIIV
  • Correct answer
    D
    (A)(B)(C)(DIIIIIIVI

Solution

Gravitational Potential=Gravitational Potential Energymass

=ML2T-2M=M0L2T-2

Stefan's constant σ.

dQdt=σAT4⇒σ=dQdtAT4

⇒σ=ML2T-3L2K4=ML0T-3K-4

Permittivity ε0

F=14πε0q2r2

∴ε0=14πFq2r2

=I2T2MLT-2·L2=M-1L-3T4I2

Specific heat capacity C

Q=mC∆T

⇒C=Qm∆T=ML2T-2M·K=M0L2T-2K-1

Hence, the correct answer is option: 'D'.

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